{
  "schema": "tnfr.sine-clock-drift-inference-experiment.v1",
  "report": {
    "status": "certified_reserved_clock_drift_inference"
  },
  "reference": {
    "id": "constant-mean-reference",
    "clock_audit": {
      "definition": "rho(s)=first_window_mean+slope*(s-H/2)",
      "profile_id": "constant-mean-reference",
      "first_window_mean": {
        "numerator": 9,
        "denominator": 8
      },
      "slope": {
        "numerator": 0,
        "denominator": 1
      },
      "observed_reading_times": [
        {
          "numerator": 0,
          "denominator": 1
        },
        {
          "numerator": 1,
          "denominator": 33554432
        },
        {
          "numerator": 1,
          "denominator": 16777216
        },
        {
          "numerator": 1,
          "denominator": 8388608
        }
      ],
      "sampled_rates": [
        {
          "numerator": 9,
          "denominator": 8
        },
        {
          "numerator": 9,
          "denominator": 8
        },
        {
          "numerator": 9,
          "denominator": 8
        },
        {
          "numerator": 9,
          "denominator": 8
        }
      ],
      "global_rate_bounds": [
        {
          "numerator": 9,
          "denominator": 8
        },
        {
          "numerator": 9,
          "denominator": 8
        }
      ],
      "derivative_upper_bound": {
        "numerator": 0,
        "denominator": 1
      },
      "structural_reading_times": [
        {
          "numerator": 0,
          "denominator": 1
        },
        {
          "numerator": 9,
          "denominator": 268435456
        },
        {
          "numerator": 9,
          "denominator": 134217728
        },
        {
          "numerator": 9,
          "denominator": 67108864
        }
      ],
      "structural_segment_durations": [
        {
          "numerator": 9,
          "denominator": 268435456
        },
        {
          "numerator": 9,
          "denominator": 268435456
        },
        {
          "numerator": 9,
          "denominator": 134217728
        }
      ],
      "admitted": true,
      "first_window_mean_identity": true,
      "signed_half_exposure_difference": {
        "numerator": 0,
        "denominator": 1
      },
      "signed_final_exposure_difference": {
        "numerator": 0,
        "denominator": 1
      }
    },
    "responses": [
      {
        "schema": "tnfr.sine-two-port-readout.v1",
        "report": {
          "initial_form_bounds": [
            {
              "lo": {
                "numerator": 92804281887528670049556049799869909625,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057340099112099599739819251,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528670270916978684384529017,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057340541833957368769058035,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528670492277907568899148409,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057340984555815137798296819,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528670713638836453413767801,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057341427277672906827535603,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528670934999765337928387193,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057341869999530675856774387,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528671156360694222443006585,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057342312721388444886013171,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528671377721623106957625977,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057342755443246213915251955,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528671599082551991472245369,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057343198165103982944490739,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528671820443480875986864761,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057343640886961751973729523,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528672041804409760501484153,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057344083608819521002968307,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528672263165338645016103545,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057344526330677290032207091,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528672484526267529530722937,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057344969052535059061445875,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528672705887196414045342329,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057345411774392828090684659,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528672927248125298559961721,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057345854496250597119923443,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528673148609054183074581113,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057346297218108366149162227,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528673369969983067589200505,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057346739939966135178401011,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528673591330911952103819897,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057347182661823904207639795,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528673812691840836618439289,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057347625383681673236878579,
                "denominator": 340282366920938463463374607431768211456
              }
            }
          ],
          "initial_phase_bounds": [
            {
              "lo": {
                "numerator": -1460966971720108629915832506557133013607,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -730483485860054314957916253278566506723,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": -1098099855051033967936984117900793279831,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -549049927525516983968492058950396639833,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": -608943952602184926339448238243435443543,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -304471976301092463169724119121717721689,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": -119788050153335886439012813367356355927,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -59894025076667943219506406683678177881,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": 369367852295513155158523066290001480361,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 184683926147756577579261533145000740263,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": 858523754744362196756058945947359316649,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 429261877372181098378029472973679658407,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": 1347679657193211238353594825604717152937,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 673839828596605619176797412802358576551,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": 1836835559642060278254030250480796240553,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 918417779821030139127015125240398120359,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": 2325991462090909319851566130138154076841,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 1162995731045454659925783065069077038503,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": -707823180076973342285006286116802076963,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": -707823180076973342285006286116802076881,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": -571710233308597956715189002406999276221,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": -1143420466617195913430378004813998552277,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -910191557293048072442860490792516645443,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -910191557293048072442860490792516645277,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -169240661992225058288110857888078371779,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": -676962647968900233152443431552313486949,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -443733738644752392164925917530831580117,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -443733738644752392164925917530831579949,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -105252414660302275588704201754674836559,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": -210504829320604551177408403509349672949,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 22724080003543289810109110512132233881,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 22724080003543289810109110512132234051,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 15997061832980695568782885609520962013,
                "denominator": 21267647932558653966460912964485513216
              },
              "hi": {
                "numerator": 255952989327691129100526169752335392379,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 489181898651838970088043683773817299207,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 489181898651838970088043683773817299379,
                "denominator": 340282366920938463463374607431768211456
              }
            }
          ],
          "phase_increment": {
            "numerator": 1,
            "denominator": 4
          },
          "probe_duration": {
            "numerator": 9,
            "denominator": 268435456
          },
          "order": 4,
          "reference_model": {
            "storage_scale": 1.0,
            "epi_weight": 0.9990234375,
            "phase_weight": 0.0009765625,
            "phase_domain": "regular"
          },
          "geometry": {
            "nodes": [
              0,
              1,
              2,
              3,
              4,
              5,
              6,
              7,
              8,
              9,
              10,
              11,
              12,
              13,
              14,
              15,
              16,
              17
            ],
            "edges": [
              [
                0,
                1
              ],
              [
                0,
                8
              ],
              [
                0,
                9
              ],
              [
                1,
                2
              ],
              [
                1,
                10
              ],
              [
                2,
                3
              ],
              [
                3,
                4
              ],
              [
                4,
                5
              ],
              [
                5,
                6
              ],
              [
                6,
                7
              ],
              [
                7,
                8
              ],
              [
                9,
                10
              ],
              [
                9,
                17
              ],
              [
                10,
                11
              ],
              [
                11,
                12
              ],
              [
                12,
                13
              ],
              [
                13,
                14
              ],
              [
                14,
                15
              ],
              [
                15,
                16
              ],
              [
                16,
                17
              ]
            ],
            "incidence": [
              [
                -1,
                -1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                1,
                0,
                0,
                -1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                1,
                0,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                -1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                0,
                -1,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                1
              ]
            ],
            "tree_edge_indices": [
              0,
              1,
              2,
              3,
              4,
              10,
              12,
              5,
              13,
              9,
              19,
              6,
              14,
              8,
              18,
              15,
              17
            ],
            "fundamental_cycles": [
              [
                4,
                5,
                6,
                7,
                8,
                0,
                1,
                2,
                3
              ],
              [
                9,
                10,
                1,
                0
              ],
              [
                13,
                14,
                15,
                16,
                17,
                9,
                0,
                1,
                10,
                11,
                12
              ]
            ],
            "cycle_rows": [
              [
                1,
                -1,
                0,
                1,
                0,
                1,
                1,
                1,
                1,
                1,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                -1,
                0,
                1,
                0,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                1,
                0,
                -1,
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                -1,
                1,
                1,
                1,
                1,
                1,
                1,
                1
              ]
            ],
            "bridge_edge_indices": [],
            "cycle_rank": 3,
            "short_cycle_span_rank": 1,
            "scope": [
              "connected_simple_undirected_phase_support_without_self_loops",
              "node_order_and_cycle_basis_are_coordinates_not_physical_selectors",
              "all_support_edges_retained_independently_of_transport_weights",
              "integer_fundamental_cycles_and_exact_rational_short_cycle_rank",
              "32_node_50_edge_evaluation_budget_is_not_a_physical_restriction",
              "no_graph_write_live_phase_admission_or_trajectory_claim"
            ]
          },
          "degrees": [
            3,
            3,
            2,
            2,
            2,
            2,
            2,
            2,
            2,
            3,
            3,
            2,
            2,
            2,
            2,
            2,
            2,
            2
          ],
          "dipole": [
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": -1,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            }
          ],
          "post_event_initial_box": [
            {
              "lo": {
                "numerator": 92804281887528670049556049799869909625,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057340099112099599739819251,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528670270916978684384529017,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057340541833957368769058035,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528670492277907568899148409,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057340984555815137798296819,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528670713638836453413767801,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057341427277672906827535603,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528670934999765337928387193,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057341869999530675856774387,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528671156360694222443006585,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057342312721388444886013171,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528671377721623106957625977,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057342755443246213915251955,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528671599082551991472245369,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057343198165103982944490739,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528671820443480875986864761,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057343640886961751973729523,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528672041804409760501484153,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057344083608819521002968307,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528672263165338645016103545,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057344526330677290032207091,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528672484526267529530722937,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057344969052535059061445875,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528672705887196414045342329,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057345411774392828090684659,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528672927248125298559961721,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057345854496250597119923443,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528673148609054183074581113,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057346297218108366149162227,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528673369969983067589200505,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057346739939966135178401011,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528673591330911952103819897,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057347182661823904207639795,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528673812691840836618439289,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057347625383681673236878579,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -1460966971720108629915832506557133013607,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -730483485860054314957916253278566506723,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": -1098099855051033967936984117900793279831,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -549049927525516983968492058950396639833,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": -608943952602184926339448238243435443543,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -304471976301092463169724119121717721689,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": -119788050153335886439012813367356355927,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -59894025076667943219506406683678177881,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": 454438444025747771024366718147943533225,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 227219222012873885512183359073971766695,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": 773453163014127580890215294089417263785,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 386726581507063790445107647044708631975,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": 1347679657193211238353594825604717152937,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 673839828596605619176797412802358576551,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": 1836835559642060278254030250480796240553,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 918417779821030139127015125240398120359,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": 2325991462090909319851566130138154076841,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 1162995731045454659925783065069077038503,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": -707823180076973342285006286116802076963,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": -707823180076973342285006286116802076881,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": -571710233308597956715189002406999276221,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": -1143420466617195913430378004813998552277,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -910191557293048072442860490792516645443,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -910191557293048072442860490792516645277,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -169240661992225058288110857888078371779,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": -676962647968900233152443431552313486949,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -443733738644752392164925917530831580117,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -443733738644752392164925917530831579949,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -105252414660302275588704201754674836559,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": -210504829320604551177408403509349672949,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 22724080003543289810109110512132233881,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 22724080003543289810109110512132234051,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 15997061832980695568782885609520962013,
                "denominator": 21267647932558653966460912964485513216
              },
              "hi": {
                "numerator": 255952989327691129100526169752335392379,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 489181898651838970088043683773817299207,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 489181898651838970088043683773817299379,
                "denominator": 340282366920938463463374607431768211456
              }
            }
          ],
          "baseline_readout_bounds": {
            "lo": {
              "numerator": -442721857769029238785,
              "denominator": 340282366920938463463374607431768211456
            },
            "hi": {
              "numerator": -442721857769029238783,
              "denominator": 340282366920938463463374607431768211456
            }
          },
          "step": {
            "time": {
              "numerator": 0,
              "denominator": 1
            },
            "duration": {
              "numerator": 9,
              "denominator": 268435456
            },
            "order": 4,
            "initial_box": [
              {
                "lo": {
                  "numerator": 92804281887528670049556049799869909625,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057340099112099599739819251,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670270916978684384529017,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057340541833957368769058035,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670492277907568899148409,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057340984555815137798296819,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670713638836453413767801,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057341427277672906827535603,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670934999765337928387193,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057341869999530675856774387,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671156360694222443006585,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057342312721388444886013171,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671377721623106957625977,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057342755443246213915251955,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671599082551991472245369,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057343198165103982944490739,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671820443480875986864761,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057343640886961751973729523,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672041804409760501484153,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344083608819521002968307,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672263165338645016103545,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344526330677290032207091,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672484526267529530722937,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344969052535059061445875,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672705887196414045342329,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057345411774392828090684659,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672927248125298559961721,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057345854496250597119923443,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673148609054183074581113,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346297218108366149162227,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673369969983067589200505,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346739939966135178401011,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673591330911952103819897,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057347182661823904207639795,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673812691840836618439289,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057347625383681673236878579,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1460966971720108629915832506557133013607,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -730483485860054314957916253278566506723,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -1098099855051033967936984117900793279831,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -549049927525516983968492058950396639833,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -608943952602184926339448238243435443543,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -304471976301092463169724119121717721689,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -119788050153335886439012813367356355927,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -59894025076667943219506406683678177881,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 454438444025747771024366718147943533225,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 227219222012873885512183359073971766695,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 773453163014127580890215294089417263785,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 386726581507063790445107647044708631975,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 1347679657193211238353594825604717152937,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 673839828596605619176797412802358576551,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 1836835559642060278254030250480796240553,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 918417779821030139127015125240398120359,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 2325991462090909319851566130138154076841,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1162995731045454659925783065069077038503,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -707823180076973342285006286116802076963,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -707823180076973342285006286116802076881,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -571710233308597956715189002406999276221,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -1143420466617195913430378004813998552277,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -910191557293048072442860490792516645443,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -910191557293048072442860490792516645277,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -169240661992225058288110857888078371779,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -676962647968900233152443431552313486949,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -443733738644752392164925917530831580117,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -443733738644752392164925917530831579949,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -105252414660302275588704201754674836559,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -210504829320604551177408403509349672949,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 22724080003543289810109110512132233881,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 22724080003543289810109110512132234051,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 15997061832980695568782885609520962013,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": 255952989327691129100526169752335392379,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 489181898651838970088043683773817299207,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 489181898651838970088043683773817299379,
                  "denominator": 340282366920938463463374607431768211456
                }
              }
            ],
            "tube": [
              {
                "lo": {
                  "numerator": 92804281887527404294956969714359975637,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 23201070471885015460236942367486921935,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 23201070471879319619881333539687393185,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 46402140943764968012758025210255963623,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670492051758190325558537,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 92804281887528670492365082478271351975,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775056882455497907477105001553,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887530736086647779787653543245,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 92804281887341851629107250145450088611,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775098857271308978740743424689,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943753956727852985094999840717,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775430980924506418829842610335,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775053212009425359545435701067,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764450431805752910909446501,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671599043119527841434069,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057343198182416012219431265,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343640791409790330084697,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 185608563775057343641321881959449716445,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563774992890534881961820292317433,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 185608563775064505589022915065417846799,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775050183020916587311856339473,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887560899037528742447295880043,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057344968782413076728098037,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 185608563775057344970283089740941077003,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672705887196276178066675,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057345411774393110678390877,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057345854496250322241993417,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528672927248125435998926791,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057346297218108091271232087,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764336574304527160256773063,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 23201070471882168342492495731573836849,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 185608563775057346739939966410912952319,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673591330911814236535495,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 46402140943764336795665456046698875869,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057347624153060189469100197,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 185608563775057347625653736853686744381,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -730483485860054314957916321060212291951,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -1460966971720108629915831890122323171497,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -549049927525516983968492367188585151769,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -536181569849137679656730460146029733,
                  "denominator": 166153499473114484112975882535043072
                }
              },
              {
                "lo": {
                  "numerator": -304471976301092463169724146383879959139,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -608943952602184926339448097234365906161,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -59894025076667943219506655825455446825,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -119788050153335886439010544386284908703,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 227219222012873885512180017224747141821,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 227219222012873885512184092757900257785,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 773453163014127580890213826721560281605,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 773453163014127580890221977787866513533,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 673839828596605619176796278311822852939,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 1347679657193211238353595323888271690825,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 1836835559642060278254030244819308170073,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1836835559642060278254030275294676003667,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 1162995731045454659925782997268239146485,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 2325991462090909319851566160144260288325,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1415646360153946684570013683783240947101,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -707823180076973342285006164010182269889,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -71463779163574744589398640563336402381,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": -142927558327149489178797111656313254043,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": -910191557293048072442860873958533767563,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -455095778646524036221430203234182138221,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -676962647968900233152443431827191394089,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -84620330996112529144055428909679447497,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": -221866869322376196082462958902854743545,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -27733358665297024510307869828497104561,
                  "denominator": 21267647932558653966460912964485513216
                }
              },
              {
                "lo": {
                  "numerator": -210504829320604551177408403784227580091,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -26313103665075568897176050404308970747,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 5681020000885822452527277559313581727,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 710127500110727806565909712094066907,
                  "denominator": 10633823966279326983230456482242756608
                }
              },
              {
                "lo": {
                  "numerator": 15997061832980695568782885592341092821,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": 255952989327691129100526170027213299799,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 30573868665739935630502724966903032571,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": 244590949325919485044022033480309006857,
                  "denominator": 170141183460469231731687303715884105728
                }
              }
            ],
            "series": [
              [
                {
                  "lo": {
                    "numerator": 92804281887528670049556049799869909625,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057340099112099599739819251,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 604041617327482494947074141460973,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 604041617327482494947074141460979,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -687494701890220514583118902954243,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -687494701890220514583118902954235,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 230047984225498605470512490481177,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 230047984225498605470512490481181,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -13967366754933745467132633614217,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": -223477868078939927474122137827467,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528670270916978684384529017,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057340541833957368769058035,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -604041617323498014414746793504929,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -604041617323498014414746793504923,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 687494701888338948128153000062969,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 343747350944169474064076500031489,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -228526943811082064624474498871203,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -228526943811082064624474498871199,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 186673858696091297082240489229451,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 11667116168505706067640030576841,
                    "denominator": 21267647932558653966460912964485513216
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528670492277907568899148409,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057340984555815137798296819,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -8772500294717025,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -274140634209907,
                    "denominator": 2658455991569831745807614120560689152
                  }
                },
                {
                  "lo": {
                    "numerator": -123631676525622336684218673537169,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -123631676525622336684218673537163,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -133040792996084534998418418612245,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -66520396498042267499209209306121,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 133816336084567277818959169006717,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 267632672169134555637918338013439,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528670713638836453413767801,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057341427277672906827535603,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 109514911221008597514959366939103,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 109514911221008597514959366939107,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -2531247591434771813180363998309629,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -2531247591434771813180363998309623,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1032976060270065362273167231286555,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 516488030135032681136583615643279,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -534267806856487705042273294092395,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1068535613712975410084546588184785,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528670934999765337928387193,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057341869999530675856774387,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -9905960543297070022601536080492197,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -9905960543297070022601536080492193,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 7456849135278054666329891902103919,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 3728424567639027333164945951051963,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -4150299042560811578783682312375379,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1037574760640202894695920578093843,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 1814606105338105232879292147661479,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1814606105338105232879292147661483,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528671156360694222443006585,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057342312721388444886013171,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 9905960543297070022601536080492193,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 9905960543297070022601536080492197,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -3728424567639027333164945951051963,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -7456849135278054666329891902103919,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1037574760640202894695920578093843,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 4150299042560811578783682312375379,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1817752155423327706924804965719033,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -454438038855831926731201241429757,
                    "denominator": 85070591730234615865843651857942052864
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528671377721623106957625977,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057342755443246213915251955,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -109514911221008597514959366939107,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -109514911221008597514959366939103,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 2531247591434771813180363998309623,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 2531247591434771813180363998309629,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -2091120520938182087125296441783735,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -130695032558636380445331027611483,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 1098588669756087395468192176055541,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 549294334878043697734096088027773,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528671599082551991472245369,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057343198165103982944490739,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 274140634209907,
                    "denominator": 2658455991569831745807614120560689152
                  },
                  "hi": {
                    "numerator": 8772500294717025,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -27378727805750228625908923275777,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -13689363902875114312954461637885,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 456169236026952702767372376082163,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 228084618013476351383686188041085,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -396617665380638264428501966645583,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -198308832690319132214250983322789,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528671820443480875986864761,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057343640886961751973729523,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -124515427144275400397,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": -498061708577101601587,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 151010404332866755905061001636643,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 151010404332866755905061001636649,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -42370592719884794390393041721341,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -169482370879539177561572166885357,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 156903741260733961059890680875161,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 78451870630366980529945340437583,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528672041804409760501484153,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057344083608819521002968307,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1708801742033385341785295666318513,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1708801742033385341785295666318507,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1239874764242950577711975475603981,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1239874764242950577711975475603989,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -674910413022637152334928986990847,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -84363801627829644041866123373855,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 292398604739858809617049589967851,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 292398604739858809617049589967857,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528672263165338645016103545,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057344526330677290032207091,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1708801742032057185457763451134227,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1708801742032057185457763451134233,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1239874764242175852903354090050413,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1239874764242175852903354090050405,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 674910413022329737801429496018121,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 674910413022329737801429496018129,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -146072549014206175567987547935605,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -292145098028412351135975095871205,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528672484526267529530722937,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057344969052535059061445875,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -204402755792934101,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -12775172237058381,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 53400054438501806211424362546129,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 26700027219250903105712181273065,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": -349045913047981859095890328386415,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -43630739130997732386986291048301,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 180525274765049353440363316035533,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 90262637382524676720181658017769,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528672705887196414045342329,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057345411774392828090684659,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 12775172237058381,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 204402755792934101,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -76651033422350289,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -76651033422350285,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 71200067248075639158031264186109,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 71200067248075639158031264186117,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -15357687834663351224827478155271,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -30715375669326702449654956310539,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528672927248125298559961721,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057345854496250597119923443,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -3,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 3,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 3193793059264595,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 51100688948233529,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -6387585639766329,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -798448204970791,
                    "denominator": 5316911983139663491615228241121378304
                  }
                },
                {
                  "lo": {
                    "numerator": 1112500967366910891438596212063,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 4450003869467643565754384848255,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528673148609054183074581113,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057346297218108366149162227,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -3,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 3,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -51100688948233529,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -3193793059264595,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 798448204970791,
                    "denominator": 5316911983139663491615228241121378304
                  },
                  "hi": {
                    "numerator": 6387585639766329,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -5203026826094852425,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -10406053652189704845,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528673369969983067589200505,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057346739939966135178401011,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -204402755792934101,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -12775172237058381,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 76651033422350285,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 76651033422350289,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -41547566700903530469,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -41547566700903530465,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -8900007738879879007055543517129,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -2225001934719969751763885879281,
                    "denominator": 85070591730234615865843651857942052864
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528673591330911952103819897,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057347182661823904207639795,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 12775172237058381,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 204402755792934101,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -498213132957128561047,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -31138320809820535065,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": -8900008405974846099840740627281,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -71200067247798768798725925018241,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 61430751338551872963611548453881,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 30715375669275936481805774226943,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528673812691840836618439289,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057347625383681673236878579,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -498059868221073187827,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -249029934110536593913,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -427200435507350164683854400625167,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -53400054438418770585481800078145,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 349045913047806490502120665146917,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 87261478261951622625530166286731,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -22565659345626166164586884830881,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -180525274765009329316695078647043,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -1460966971720108629915832506557133013607,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -730483485860054314957916253278566506723,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -826526358695226153,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -413263179347613075,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 53479071434661581004610917627,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 213916285738646324018443670509,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -8947525937778543184426966057,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": -71580207502228345475415728455,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 69535893445825970425951324461,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 34767946722912985212975662231,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -1098099855051033967936984117900793279831,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -549049927525516983968492058950396639833,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -413263179347613077,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -413263179347613075,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -106958142869030434132754145131,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -53479071434515217066377072565,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 71106930662127042075840588137,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 35553465331063521037920294069,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -58084202150414736003377320409,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -7260525268801842000422165051,
                    "denominator": 42535295865117307932921825928971026432
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -608943952602184926339448238243435443543,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -304471976301092463169724119121717721689,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 38468411420901340097391489407,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 38468411420901340097391489409,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 82792180295763453382026392063,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 82792180295763453382026392065,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -41637402987961850857670319191,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -83274805975923701715340638381,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -119788050153335886439012813367356355927,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -59894025076667943219506406683678177881,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 787606190354444268765990501311,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 12306346724288191699468601583,
                    "denominator": 5316911983139663491615228241121378304
                  }
                },
                {
                  "lo": {
                    "numerator": -642827937458727007534056013049,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -642827937458727007534056013047,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 83119610945734884245798095059,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 332478443782939536983192380237,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 454438444025747771024366718147943533225,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 227219222012873885512183359073971766695,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -2320223655464374847771075938651,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1160111827732187423885537969325,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 322844881531148700503300763219,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 645689763062297401006601526439,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -564620800580275169407275648923,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -282310400290137584703637824461,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 773453163014127580890215294089417263785,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 386726581507063790445107647044708631975,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 1160111827732187423885537969325,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 2320223655464374847771075938651,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -645689763062297401006601526439,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -322844881531148700503300763219,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 282799852310306927387859679853,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 565599704620613854775719359707,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 1347679657193211238353594825604717152937,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 673839828596605619176797412802358576551,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -12306346724288191699468601583,
                    "denominator": 5316911983139663491615228241121378304
                  },
                  "hi": {
                    "numerator": -787606190354444268765990501311,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 650659169882201659066908250219,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 325329584941100829533454125111,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -42728694151688614733228206747,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -170914776606754458932912826987,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 1836835559642060278254030250480796240553,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 918417779821030139127015125240398120359,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 4259491559973284550193310209,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 2129745779986642275096655105,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -35484647963985426607599243851,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -70969295927970853215198487701,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 123408920381453937933617741563,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 123408920381453937933617741565,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 2325991462090909319851566130138154076841,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1162995731045454659925783065069077038503,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 619894769021419613,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 619894769021419615,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -46987394541312831626253098915,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -46987394541312831626253098913,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 13183752414217439847354381529,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 26367504828434879694708763059,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -24410563374950766861178191781,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -48821126749901533722356383561,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -707823180076973342285006286116802076963,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -707823180076973342285006286116802076881,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -192895598772398773332807572787,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -385791197544797546665615145573,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 210000658484599824681573247969,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 210000658484599824681573247971,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -45490407592875844480816541263,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -90980815185751688961633082525,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -571710233308597956715189002406999276221,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1143420466617195913430378004813998552277,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 413263179347613075,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 413263179347613077,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 96447799386139122103827776985,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 192895598772278244207655553971,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -13125041155281510725487056109,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": -105000329242252085803896448871,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 11362741964175628250803957193,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 45450967856702513003215828773,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -910191557293048072442860490792516645443,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -910191557293048072442860490792516645277,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -132924850444009664206200908697,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -16615606305501208025775113587,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 108606816405429310761113439019,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 108606816405429310761113439021,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -28085524912380677702528253815,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -56171049824761355405056507629,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -169240661992225058288110857888078371779,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -676962647968900233152443431552313486949,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 5962556628675,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 47700453029401,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -22154141740668295919166951827,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -22154141740668295919166951825,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 4778596513295662704881236855,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 19114386053182650819524947421,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -443733738644752392164925917530831580117,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -443733738644752392164925917530831579949,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -15900151009801,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1987518876225,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 15900151009799,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 15900151009801,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1384633755010584517985574813,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -2769267510021169035971149625,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -105252414660302275588704201754674836559,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -210504829320604551177408403509349672949,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 1987518876225,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 15900151009801,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -15900151009801,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -15900151009799,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1618939394877059,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 3237878789754119,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 22724080003543289810109110512132233881,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 22724080003543289810109110512132234051,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -47700453029401,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -5962556628675,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 25855331806489823,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 25855331806489825,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1384633755001964305321699237,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 2769267510003928610643398475,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 15997061832980695568782885609520962013,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 255952989327691129100526169752335392379,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 77510350698735417,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 155020701397470835,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 22154141740582146770424307319,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 22154141740582146770424307321,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1194649128321941175895375285,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": -19114386053151058814326004559,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 489181898651838970088043683773817299207,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 489181898651838970088043683773817299379,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 619894769021419613,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 619894769021419615,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 66462425221901484839665706513,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 33231212610950742419832853257,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -108606816405374744230021568673,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -108606816405374744230021568671,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 56171049824748901763605536525,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 28085524912374450881802768263,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ]
            ],
            "local_remainder_bounds": [
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              }
            ],
            "increment": [
              {
                "lo": {
                  "numerator": 2531509077407811912907249,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 10126036309631247651628997,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -632877269347778283458703,
                  "denominator": 10633823966279326983230456482242756608
                },
                "hi": {
                  "numerator": -10126036309564452535339247,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -1085738118981091,
                  "denominator": 2658455991569831745807614120560689152
                },
                "hi": {
                  "numerator": -69487239614789823,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 917942670349868529606581,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 1835885340699737059213163,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -166061599998884881271463791,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -83030799999442440635731895,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 41515399999721220317865947,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 166061599998884881271463789,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -3671770681399475066983449,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -3671770681399475066983447,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -3847053975130663,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -15388215900522651,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 169684116528649035,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 169684116528649037,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -57292041570581894480326409,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -57292041570581894480326407,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 57292041570537364570261107,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 57292041570537364570261109,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 120054084154538517,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 240108168309077035,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 4768276989,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 2384138495,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 67,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 69,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -59,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -7,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": -1713284067,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -3426568133,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 2084579331,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 521144833,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": -240141569251984357,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -60035392312996089,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 15027234608771,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": 120217876870169,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -120238660479399,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -60119330239699,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 43242375651547,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 43242375651549,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 221337183556875,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 442674367113751,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -2608165247463653,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -2608165247463651,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 2608165247463651,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 2608165247463653,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -885348733932355,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -885348733932353,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 9576190496793,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 9576190496795,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -26398891399389,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -6599722849847,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": -108417047668751,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -216834095337501,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 216841023201273,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 108420511600637,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -4669404008857,
                  "denominator": 10633823966279326983230456482242756608
                },
                "hi": {
                  "numerator": -74710464141711,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -208739,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -417477,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 104391,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 417565,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 4670053496091,
                  "denominator": 10633823966279326983230456482242756608
                },
                "hi": {
                  "numerator": 74720855937457,
                  "denominator": 170141183460469231731687303715884105728
                }
              }
            ],
            "endpoint": [
              {
                "lo": {
                  "numerator": 92804281887538796085865681047521538621,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775077592171731362095043077245,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887518544234607414231849189769,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775037088469214828463698379541,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670492208420329284358585,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057340984416840658568717173,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887530506598979536190472980963,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775061013197959072380945961929,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943681304667500440228328461701,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563774725218670001760913313846807,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887694732756359579103714470373,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775389465512719158207428940749,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775053670984761846738848268505,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943763417746190461684712067127,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671599067163775571722717,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057343198134327551143445437,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343641056645868502378557,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 2900133808985270994391510091695349665,
                  "denominator": 5316911983139663491615228241121378304
                }
              },
              {
                "lo": {
                  "numerator": 185608563775000052042038237626522641897,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943750013010509559406630660475,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775114636567901214654602468197,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471889329570987651831825308525,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672484766375697839799971,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344969532751395679599945,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943764336352943598209406809659,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775057345411774392837627238639,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057345854496250597119923509,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471882168231812031324639990439,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057346297218108366149162167,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 185608563775057346297218108366149162171,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673369969983064162632371,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346739939966128325264745,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 23201070471882168397832727988547099807,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 185608563775057347182661823908376798459,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 23201070471882168453112924816841613733,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 185608563775057347624903398534732909867,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1460966971720108629915832266121379273271,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -365241742930027157478958066530344818277,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -1098099855051033967936984358378114238629,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -549049927525516983968492179189057119231,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -152235988150546231584862048750264947999,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -608943952602184926339448195001059791829,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -119788050153335886439011928018622128427,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -29947012538333971609752982004655532065,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 113609611006436942756091027495674017393,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 454438444025747771024364109982696069739,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 193363290753531895222554475563666181859,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 773453163014127580890217902254664727603,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 673839828596605619176796970127991610291,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 1347679657193211238353593940255983220749,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 918417779821030139127015130028493368673,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 1836835559642060278254030260056986737513,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 2325991462090909319851566077340371278063,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1162995731045454659925783038670185639115,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -707823180076973342285006502950897414465,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -353911590038486671142503251475448707191,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -142927558327149489178797196391494018737,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -1143420466617195913430377571131952149729,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -910191557293048072442860640213444928867,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -910191557293048072442860640213444928699,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -84620330996112529144055428944039290259,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -676962647968900233152443431552314321903,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -221866869322376196082462958765415790059,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -110933434661188098041231479382707894987,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -210504829320604551177408403509349673119,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -210504829320604551177408403509349672947,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 22724080003543289810109110512132233879,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 22724080003543289810109110512132234051,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 31994123665961391137565771219042028417,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 255952989327691129100526169752336227509,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 489181898651838970088043833215529174119,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 489181898651838970088043833215529174293,
                  "denominator": 340282366920938463463374607431768211456
                }
              }
            ],
            "picard_interior_margin": {
              "numerator": 255105774935,
              "denominator": 340282366920938463463374607431768211456
            },
            "domain_lower_bounds": [
              {
                "numerator": 1,
                "denominator": 1
              }
            ],
            "method": "direct_source_box_Picard_Taylor_dyadic128_v1"
          },
          "true_increment_bounds": {
            "lo": {
              "numerator": -83030799999442440635731895,
              "denominator": 42535295865117307932921825928971026432
            },
            "hi": {
              "numerator": -166061599998884881271463789,
              "denominator": 85070591730234615865843651857942052864
            }
          },
          "endpoint_readout_bounds": {
            "lo": {
              "numerator": -664246842717397294115093945,
              "denominator": 340282366920938463463374607431768211456
            },
            "hi": {
              "numerator": -664246842717397294115093939,
              "denominator": 340282366920938463463374607431768211456
            }
          },
          "failed_tube": null,
          "status": "admitted",
          "unavailable_reasons": [],
          "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
          "law": "normalized_sine_reciprocal_exchange",
          "clock": "tau=e*t",
          "capacity": [
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            }
          ],
          "state_order": [
            "x_0",
            "x_1",
            "x_2",
            "x_3",
            "x_4",
            "x_5",
            "x_6",
            "x_7",
            "x_8",
            "x_9",
            "x_10",
            "x_11",
            "x_12",
            "x_13",
            "x_14",
            "x_15",
            "x_16",
            "x_17",
            "theta_0",
            "theta_1",
            "theta_2",
            "theta_3",
            "theta_4",
            "theta_5",
            "theta_6",
            "theta_7",
            "theta_8",
            "theta_9",
            "theta_10",
            "theta_11",
            "theta_12",
            "theta_13",
            "theta_14",
            "theta_15",
            "theta_16",
            "theta_17"
          ],
          "scope": [
            "fixed_two_port_C9_support_and_full_thirty_six_coordinate_source_box",
            "complete_shared_sine_rates_with_both_rows_transformed_to_fast_clock",
            "supplied_phase_dipole_then_unforced_continuous_flow",
            "zero_phase_increment_means_no_event_and_preserves_all_source_coordinates",
            "one_fixed_Picard_Taylor_step_without_retry_or_adaptive_budget",
            "direct_source_box_coefficients_and_whole_tube_derivative_remainder",
            "readout_increment_cancels_the_same_initial_form_coordinate_symbolically",
            "independent_of_inverse_error_bound_target_root_or_forward_verdict",
            "global_smooth_domain_is_not_acute_chart_or_identity_retention",
            "primitive_source_enclosure_is_not_acquisition_or_calibration_evidence",
            "no_sensor_gain_noise_realization_or_physical_measurement"
          ]
        }
      },
      {
        "schema": "tnfr.sine-two-port-readout.v1",
        "report": {
          "initial_form_bounds": [
            {
              "lo": {
                "numerator": 92804281887538796085865681047521538621,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775077592171731362095043077245,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887518544234607414231849189769,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775037088469214828463698379541,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528670492208420329284358585,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057340984416840658568717173,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887530506598979536190472980963,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775061013197959072380945961929,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 46402140943681304667500440228328461701,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": 185608563774725218670001760913313846807,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887694732756359579103714470373,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775389465512719158207428940749,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 185608563775053670984761846738848268505,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 46402140943763417746190461684712067127,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": 92804281887528671599067163775571722717,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057343198134327551143445437,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 185608563775057343641056645868502378557,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 2900133808985270994391510091695349665,
                "denominator": 5316911983139663491615228241121378304
              }
            },
            {
              "lo": {
                "numerator": 185608563775000052042038237626522641897,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 46402140943750013010509559406630660475,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": 185608563775114636567901214654602468197,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 23201070471889329570987651831825308525,
                "denominator": 42535295865117307932921825928971026432
              }
            },
            {
              "lo": {
                "numerator": 92804281887528672484766375697839799971,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057344969532751395679599945,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 46402140943764336352943598209406809659,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": 185608563775057345411774392837627238639,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 185608563775057345854496250597119923509,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 23201070471882168231812031324639990439,
                "denominator": 42535295865117307932921825928971026432
              }
            },
            {
              "lo": {
                "numerator": 185608563775057346297218108366149162167,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 185608563775057346297218108366149162171,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528673369969983064162632371,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057346739939966128325264745,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 23201070471882168397832727988547099807,
                "denominator": 42535295865117307932921825928971026432
              },
              "hi": {
                "numerator": 185608563775057347182661823908376798459,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 23201070471882168453112924816841613733,
                "denominator": 42535295865117307932921825928971026432
              },
              "hi": {
                "numerator": 185608563775057347624903398534732909867,
                "denominator": 340282366920938463463374607431768211456
              }
            }
          ],
          "initial_phase_bounds": [
            {
              "lo": {
                "numerator": -1460966971720108629915832266121379273271,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -365241742930027157478958066530344818277,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": -1098099855051033967936984358378114238629,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -549049927525516983968492179189057119231,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": -152235988150546231584862048750264947999,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": -608943952602184926339448195001059791829,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -119788050153335886439011928018622128427,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -29947012538333971609752982004655532065,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": 113609611006436942756091027495674017393,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": 454438444025747771024364109982696069739,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 193363290753531895222554475563666181859,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": 773453163014127580890217902254664727603,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 673839828596605619176796970127991610291,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 1347679657193211238353593940255983220749,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 918417779821030139127015130028493368673,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 1836835559642060278254030260056986737513,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 2325991462090909319851566077340371278063,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 1162995731045454659925783038670185639115,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": -707823180076973342285006502950897414465,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": -353911590038486671142503251475448707191,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": -142927558327149489178797196391494018737,
                "denominator": 42535295865117307932921825928971026432
              },
              "hi": {
                "numerator": -1143420466617195913430377571131952149729,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -910191557293048072442860640213444928867,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -910191557293048072442860640213444928699,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -84620330996112529144055428944039290259,
                "denominator": 42535295865117307932921825928971026432
              },
              "hi": {
                "numerator": -676962647968900233152443431552314321903,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -221866869322376196082462958765415790059,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": -110933434661188098041231479382707894987,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": -210504829320604551177408403509349673119,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -210504829320604551177408403509349672947,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 22724080003543289810109110512132233879,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 22724080003543289810109110512132234051,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 31994123665961391137565771219042028417,
                "denominator": 42535295865117307932921825928971026432
              },
              "hi": {
                "numerator": 255952989327691129100526169752336227509,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 489181898651838970088043833215529174119,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 489181898651838970088043833215529174293,
                "denominator": 340282366920938463463374607431768211456
              }
            }
          ],
          "phase_increment": {
            "numerator": 0,
            "denominator": 1
          },
          "probe_duration": {
            "numerator": 9,
            "denominator": 268435456
          },
          "order": 4,
          "reference_model": {
            "storage_scale": 1.0,
            "epi_weight": 0.9990234375,
            "phase_weight": 0.0009765625,
            "phase_domain": "regular"
          },
          "geometry": {
            "nodes": [
              0,
              1,
              2,
              3,
              4,
              5,
              6,
              7,
              8,
              9,
              10,
              11,
              12,
              13,
              14,
              15,
              16,
              17
            ],
            "edges": [
              [
                0,
                1
              ],
              [
                0,
                8
              ],
              [
                0,
                9
              ],
              [
                1,
                2
              ],
              [
                1,
                10
              ],
              [
                2,
                3
              ],
              [
                3,
                4
              ],
              [
                4,
                5
              ],
              [
                5,
                6
              ],
              [
                6,
                7
              ],
              [
                7,
                8
              ],
              [
                9,
                10
              ],
              [
                9,
                17
              ],
              [
                10,
                11
              ],
              [
                11,
                12
              ],
              [
                12,
                13
              ],
              [
                13,
                14
              ],
              [
                14,
                15
              ],
              [
                15,
                16
              ],
              [
                16,
                17
              ]
            ],
            "incidence": [
              [
                -1,
                -1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                1,
                0,
                0,
                -1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                1,
                0,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                -1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                0,
                -1,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                1
              ]
            ],
            "tree_edge_indices": [
              0,
              1,
              2,
              3,
              4,
              10,
              12,
              5,
              13,
              9,
              19,
              6,
              14,
              8,
              18,
              15,
              17
            ],
            "fundamental_cycles": [
              [
                4,
                5,
                6,
                7,
                8,
                0,
                1,
                2,
                3
              ],
              [
                9,
                10,
                1,
                0
              ],
              [
                13,
                14,
                15,
                16,
                17,
                9,
                0,
                1,
                10,
                11,
                12
              ]
            ],
            "cycle_rows": [
              [
                1,
                -1,
                0,
                1,
                0,
                1,
                1,
                1,
                1,
                1,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                -1,
                0,
                1,
                0,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                1,
                0,
                -1,
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                -1,
                1,
                1,
                1,
                1,
                1,
                1,
                1
              ]
            ],
            "bridge_edge_indices": [],
            "cycle_rank": 3,
            "short_cycle_span_rank": 1,
            "scope": [
              "connected_simple_undirected_phase_support_without_self_loops",
              "node_order_and_cycle_basis_are_coordinates_not_physical_selectors",
              "all_support_edges_retained_independently_of_transport_weights",
              "integer_fundamental_cycles_and_exact_rational_short_cycle_rank",
              "32_node_50_edge_evaluation_budget_is_not_a_physical_restriction",
              "no_graph_write_live_phase_admission_or_trajectory_claim"
            ]
          },
          "degrees": [
            3,
            3,
            2,
            2,
            2,
            2,
            2,
            2,
            2,
            3,
            3,
            2,
            2,
            2,
            2,
            2,
            2,
            2
          ],
          "dipole": [
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": -1,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            }
          ],
          "post_event_initial_box": [
            {
              "lo": {
                "numerator": 92804281887538796085865681047521538621,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775077592171731362095043077245,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887518544234607414231849189769,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775037088469214828463698379541,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528670492208420329284358585,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057340984416840658568717173,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887530506598979536190472980963,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775061013197959072380945961929,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 46402140943681304667500440228328461701,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": 185608563774725218670001760913313846807,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887694732756359579103714470373,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775389465512719158207428940749,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 185608563775053670984761846738848268505,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 46402140943763417746190461684712067127,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": 92804281887528671599067163775571722717,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057343198134327551143445437,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 185608563775057343641056645868502378557,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 2900133808985270994391510091695349665,
                "denominator": 5316911983139663491615228241121378304
              }
            },
            {
              "lo": {
                "numerator": 185608563775000052042038237626522641897,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 46402140943750013010509559406630660475,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": 185608563775114636567901214654602468197,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 23201070471889329570987651831825308525,
                "denominator": 42535295865117307932921825928971026432
              }
            },
            {
              "lo": {
                "numerator": 92804281887528672484766375697839799971,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057344969532751395679599945,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 46402140943764336352943598209406809659,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": 185608563775057345411774392837627238639,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 185608563775057345854496250597119923509,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 23201070471882168231812031324639990439,
                "denominator": 42535295865117307932921825928971026432
              }
            },
            {
              "lo": {
                "numerator": 185608563775057346297218108366149162167,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 185608563775057346297218108366149162171,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 92804281887528673369969983064162632371,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057346739939966128325264745,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 23201070471882168397832727988547099807,
                "denominator": 42535295865117307932921825928971026432
              },
              "hi": {
                "numerator": 185608563775057347182661823908376798459,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 23201070471882168453112924816841613733,
                "denominator": 42535295865117307932921825928971026432
              },
              "hi": {
                "numerator": 185608563775057347624903398534732909867,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -1460966971720108629915832266121379273271,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -365241742930027157478958066530344818277,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": -1098099855051033967936984358378114238629,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -549049927525516983968492179189057119231,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": -152235988150546231584862048750264947999,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": -608943952602184926339448195001059791829,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -119788050153335886439011928018622128427,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -29947012538333971609752982004655532065,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": 113609611006436942756091027495674017393,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": 454438444025747771024364109982696069739,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 193363290753531895222554475563666181859,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": 773453163014127580890217902254664727603,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 673839828596605619176796970127991610291,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 1347679657193211238353593940255983220749,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 918417779821030139127015130028493368673,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 1836835559642060278254030260056986737513,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 2325991462090909319851566077340371278063,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 1162995731045454659925783038670185639115,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": -707823180076973342285006502950897414465,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": -353911590038486671142503251475448707191,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": -142927558327149489178797196391494018737,
                "denominator": 42535295865117307932921825928971026432
              },
              "hi": {
                "numerator": -1143420466617195913430377571131952149729,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -910191557293048072442860640213444928867,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -910191557293048072442860640213444928699,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -84620330996112529144055428944039290259,
                "denominator": 42535295865117307932921825928971026432
              },
              "hi": {
                "numerator": -676962647968900233152443431552314321903,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -221866869322376196082462958765415790059,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": -110933434661188098041231479382707894987,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": -210504829320604551177408403509349673119,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -210504829320604551177408403509349672947,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 22724080003543289810109110512132233879,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 22724080003543289810109110512132234051,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 31994123665961391137565771219042028417,
                "denominator": 42535295865117307932921825928971026432
              },
              "hi": {
                "numerator": 255952989327691129100526169752336227509,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 489181898651838970088043833215529174119,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 489181898651838970088043833215529174293,
                "denominator": 340282366920938463463374607431768211456
              }
            }
          ],
          "baseline_readout_bounds": {
            "lo": {
              "numerator": -664246842717397294115093945,
              "denominator": 340282366920938463463374607431768211456
            },
            "hi": {
              "numerator": -664246842717397294115093939,
              "denominator": 340282366920938463463374607431768211456
            }
          },
          "step": {
            "time": {
              "numerator": 0,
              "denominator": 1
            },
            "duration": {
              "numerator": 9,
              "denominator": 268435456
            },
            "order": 4,
            "initial_box": [
              {
                "lo": {
                  "numerator": 92804281887538796085865681047521538621,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775077592171731362095043077245,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887518544234607414231849189769,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775037088469214828463698379541,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670492208420329284358585,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057340984416840658568717173,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887530506598979536190472980963,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775061013197959072380945961929,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943681304667500440228328461701,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563774725218670001760913313846807,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887694732756359579103714470373,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775389465512719158207428940749,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775053670984761846738848268505,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943763417746190461684712067127,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671599067163775571722717,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057343198134327551143445437,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343641056645868502378557,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 2900133808985270994391510091695349665,
                  "denominator": 5316911983139663491615228241121378304
                }
              },
              {
                "lo": {
                  "numerator": 185608563775000052042038237626522641897,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943750013010509559406630660475,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775114636567901214654602468197,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471889329570987651831825308525,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672484766375697839799971,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344969532751395679599945,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943764336352943598209406809659,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775057345411774392837627238639,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057345854496250597119923509,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471882168231812031324639990439,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057346297218108366149162167,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 185608563775057346297218108366149162171,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673369969983064162632371,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346739939966128325264745,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 23201070471882168397832727988547099807,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 185608563775057347182661823908376798459,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 23201070471882168453112924816841613733,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 185608563775057347624903398534732909867,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1460966971720108629915832266121379273271,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -365241742930027157478958066530344818277,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -1098099855051033967936984358378114238629,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -549049927525516983968492179189057119231,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -152235988150546231584862048750264947999,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -608943952602184926339448195001059791829,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -119788050153335886439011928018622128427,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -29947012538333971609752982004655532065,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 113609611006436942756091027495674017393,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 454438444025747771024364109982696069739,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 193363290753531895222554475563666181859,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 773453163014127580890217902254664727603,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 673839828596605619176796970127991610291,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 1347679657193211238353593940255983220749,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 918417779821030139127015130028493368673,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 1836835559642060278254030260056986737513,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 2325991462090909319851566077340371278063,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1162995731045454659925783038670185639115,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -707823180076973342285006502950897414465,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -353911590038486671142503251475448707191,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -142927558327149489178797196391494018737,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -1143420466617195913430377571131952149729,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -910191557293048072442860640213444928867,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -910191557293048072442860640213444928699,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -84620330996112529144055428944039290259,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -676962647968900233152443431552314321903,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -221866869322376196082462958765415790059,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -110933434661188098041231479382707894987,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -210504829320604551177408403509349673119,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -210504829320604551177408403509349672947,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 22724080003543289810109110512132233879,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 22724080003543289810109110512132234051,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 31994123665961391137565771219042028417,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 255952989327691129100526169752336227509,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 489181898651838970088043833215529174119,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 489181898651838970088043833215529174293,
                  "denominator": 340282366920938463463374607431768211456
                }
              }
            ],
            "tube": [
              {
                "lo": {
                  "numerator": 46402140943768765165681601314197015345,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775100375752775971440314964445,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775014304888170369408563906951,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 11600535235939976248638735537690577389,
                  "denominator": 21267647932558653966460912964485513216
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057340983665809952075011317,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 185608563775057340984500288759181712885,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775060554226890651297824813373,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887532571968787429965006521673,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 92804281887175790038538396508762500405,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563774766734069215646479404080313,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775347950113505272641338707241,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943940776026411031525804446683,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775049540245146059185929099031,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 185608563775054129955830267822397426845,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671598993588776444293709,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 23201070471882167899768834724410682257,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343640966473773588026799,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 185608563775057343641868192523708288825,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563774935598496447304363383555829,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943751803386775974280579614409,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775107475062835560725045445631,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887589545056746048910796207869,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057344969277636193201854761,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 185608563775057344971828786018956051015,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 11600535235941084088235899534913891991,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": 23201070471882168176471799143706085513,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672927248125161120996803,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 5800267617970542057953007839749932937,
                  "denominator": 10633823966279326983230456482242756608
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057346297218108091271231913,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 185608563775057346297218108641027092081,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943764336684984991461434389713,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775057346739939966404059816017,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057347182661823611670421237,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 185608563775057347182661824186585076229,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057347622607288759334497939,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764336906289630521861607119,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -45655217866253394684869762316843925271,
                  "denominator": 10633823966279326983230456482242756608
                },
                "hi": {
                  "numerator": -1460966971720108629915831116161765510219,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1098099855051033967936985508384491170373,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -549049927525516983968492115177645997705,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -304471976301092463169724110620504462975,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -304471976301092463169723980520270420981,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -14973506269166985804876549829374804697,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -59894025076667943219503847335129300819,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 113609611006436942756087909854507468233,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 454438444025747771024365495845328231113,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 386726581507063790445108258196016283031,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 773453163014127580890230372819330924243,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 673839828596605619176794853453811239925,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 1347679657193211238353594410872359220355,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 1836835559642060278254030254694760929719,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1836835559642060278254030306117995750431,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 2325991462090909319851565824550111223731,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 581497865522727329962891526418128467059,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -707823180076973342285007539826332563085,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -707823180076973342285006387620347772551,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -1143420466617195913430377801794783399355,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -17865944790893686147349617146335846255,
                  "denominator": 5316911983139663491615228241121378304
                }
              },
              {
                "lo": {
                  "numerator": -113773944661631009055357669363390619253,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -28443486165407752263839392517459378741,
                  "denominator": 10633823966279326983230456482242756608
                }
              },
              {
                "lo": {
                  "numerator": -676962647968900233152443431827201387451,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -84620330996112529144055428909679424667,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": -443733738644752392164925917805709487091,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -443733738644752392164925917255953672975,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -52626207330151137794352100946056895023,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -105252414660302275588704201617235882987,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 11362040001771644905054555118627163453,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 710127500110727806565909712094066907,
                  "denominator": 10633823966279326983230456482242756608
                }
              },
              {
                "lo": {
                  "numerator": 63988247331922782275131542369364325669,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 127976494663845564550263085013611646861,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 489181898651838970088043753558186416181,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 489181898651838970088044547932590740007,
                  "denominator": 340282366920938463463374607431768211456
                }
              }
            ],
            "series": [
              [
                {
                  "lo": {
                    "numerator": 92804281887538796085865681047521538621,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775077592171731362095043077245,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 75505196403421483626115048059499,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 302020785613685934504460192238001,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -687494655612463735790656989250199,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -687494655612463735790656989250187,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 115023984620070142612454263162685,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 460095938480280570449817052650751,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -111738926739336934872892834941961,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -223477853478673869745785669883915,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887518544234607414231849189769,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775037088469214828463698379541,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -604041571223387378343950854015731,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -302020785611693689171975427007861,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 687494655916563044474501681288011,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 687494655916563044474501681288023,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -457053862587249402801456910863541,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -457053862587249402801456910863531,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 186673849665855868209508856476809,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 11667115604115991763094303529801,
                    "denominator": 21267647932558653966460912964485513216
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528670492208420329284358585,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057340984416840658568717173,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -8290150864980225879964433,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1036268858122528234995553,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -123631703288861605799294872203791,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -30907925822215401449823718050945,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -133040775049916182199181901038015,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -66520387524958091099590950519005,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 66908162103172879904938055898359,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 267632648412691519619752223593443,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887530506598979536190472980963,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775061013197959072380945961929,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 54757370743818923871705118071409,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 109514741487637847743410236142827,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -632811845908862860796645525327801,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -2531247383635451443186582101311193,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 258243997154792834467530609509373,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 1032975988619171337870122438037497,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -33391735718165050927786821798283,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": -1068535542981281629689178297545049,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 46402140943681304667500440228328461701,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563774725218670001760913313846807,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -9905960043276384685246738219413449,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -154780625676193510706980284678335,
                    "denominator": 5316911983139663491615228241121378304
                  }
                },
                {
                  "lo": {
                    "numerator": 7456848717829210413006657480319901,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 932106089728651301625832185039989,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -4150298799203176192013301700755549,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -4150298799203176192013301700755539,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1814605996113531631072719129492663,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1814605996113531631072719129492669,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887694732756359579103714470373,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775389465512719158207428940749,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 2476490010819096171311684436283719,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 9905960043276384685246737745134885,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -3728424358914605217112760484809297,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -7456848717829210434225520969618583,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 2075149399390629017169039348995501,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1037574699695314508584519674497753,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -908876022821105372311064080425263,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1817752045642210744622128160850519,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 185608563775053670984761846738848268505,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943763417746190461684712067127,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -54757370743818966309431855399049,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -109514741487637932618863710798089,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 2531247381103942504454588776851559,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1265623690551971252227294388425785,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1045560186802982681108899459749349,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -2091120373605965362217798919498689,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 549294297900883672877830039266015,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 274647148950441836438915019633009,
                    "denominator": 85070591730234615865843651857942052864
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528671599067163775571722717,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057343198134327551143445437,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -917942594995633041395053,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1835885189991266082790097,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -27378681922956509099542199463427,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -3422335240369563637442774932927,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 456169182836381128264005113972991,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 456169182836381128264005113973001,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -396617631036164920328317670366597,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -198308815518082460164158835183295,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 185608563775057343641056645868502378557,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 2900133808985270994391510091695349665,
                    "denominator": 5316911983139663491615228241121378304
                  }
                },
                {
                  "lo": {
                    "numerator": 5062021938862307084374719,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 10124043877724614168749447,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 151010387285849950216238440018833,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 37752596821462487554059610004711,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -84741174918554381683503747654643,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -42370587459277190841751873827319,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 156903725604965532081108320166451,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 156903725604965532081108320166457,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 185608563775000052042038237626522641897,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943750013010509559406630660475,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -854400829446652934015490967926869,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -53400051840415808375968185495429,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": 1239874696358547772792842284328105,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1239874696358547772792842284328117,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -337455186904464826318323792231075,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -168727593452232413159161896115535,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 36549823394546338146226337620081,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 292398587156370705169810700960655,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 185608563775114636567901214654602468197,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471889329570987651831825308525,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 854400829445988855877699552246717,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 427200414722994427938849776123361,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -1239874696357773046305339860711411,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -154984337044721630788167482588925,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 168727593460655027370281199347893,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 337455186921310054740562398695791,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -146072540430953672388705402715329,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -73036270215476836194352701357663,
                    "denominator": 85070591730234615865843651857942052864
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528672484766375697839799971,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057344969532751395679599945,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 7161505025162420717303689,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 28646020100649682869214765,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 213600200199993560093234875672223,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 427200400399987120186469751344457,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -174522944418828346434588686170091,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -87261472209414173217294343085043,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 90262631392596040594109628783685,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 11282828924074505074263703597961,
                    "denominator": 21267647932558653966460912964485513216
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 46402140943764336352943598209406809659,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775057345411774392837627238639,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 222255448284425313,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 444510896568850635,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 7161504266137285347040767,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 7161504266137285347040779,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 71200059009570238591801273010371,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 71200059009570238591801273010381,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -61430746103538806307705071444513,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -30715373051769403153852535722253,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 185608563775057345854496250597119923509,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471882168231812031324639990439,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 1192069197,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 4768276797,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 55563858201140521,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 111127716402281053,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 37299497166726627265815,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": 596791954667626036253045,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 556250400670388843976098803151,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 4450003205363110751808790425211,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 185608563775057346297218108366149162167,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057346297218108366149162171,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -3426568047,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -856642009,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -51100683808451779,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -51100683808451767,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 25549644778835267,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 3193705597354409,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": -10406052374448650193,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -5203026187224325093,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528673369969983064162632371,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057346739939966128325264745,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -204402746855218433,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -204402746855218423,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 93266676306828413,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46633338153414213,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1193667055561908189414411,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1165690483947175966225,
                    "denominator": 332306998946228968225951765070086144
                  }
                },
                {
                  "lo": {
                    "numerator": -8900006410670813383073008030609,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -4450003205335406691536504015301,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 23201070471882168397832727988547099807,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 185608563775057347182661823908376798459,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -35738803055667279,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -35738803055667269,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -7162002632544460914473989,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -895250329068057614309247,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -71200059009293368246112425576079,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -17800014752323342061528106394017,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 61430746103437274412631499772261,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 15357686525859318603157874943067,
                    "denominator": 85070591730234615865843651857942052864
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 23201070471882168453112924816841613733,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 185608563775057347624903398534732909867,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -28648012544480779174599487,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -14324006272240389587299739,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -106800100099830708799142078161013,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -427200400399322835196568312644041,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 349045888837481324565742281669241,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 349045888837481324565742281669251,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -45131315695225580883779014067879,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -180525262780902323535116056271509,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -1460966971720108629915832266121379273271,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -365241742930027157478958066530344818277,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 3585844435468611051045,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 7171688870937222102091,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 106958135669582977116846398671,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 6684883479348936069802899917,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": -35790101419741745656822748927,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -71580202839483491313645497853,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 69535888902903889415310689513,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 34767944451451944707655344757,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -1098099855051033967936984358378114238629,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -549049927525516983968492179189057119231,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -3586154383641323183087,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -14344617534565292732345,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -213916271433787476773097570563,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -213916271433787476773097570561,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 71106926767277870514203482829,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 35553463383638935257101741415,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -29042099670313213751693646237,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -58084199340626427503387292473,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -152235988150546231584862048750264947999,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -608943952602184926339448195001059791829,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 322438534592964183813,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 1289754138371856735253,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 2404276234273327602394447263,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 19234209874186620819155578105,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 10349021140967772993089630889,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 82792169127742183944717047115,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -20818699646006639938505282721,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -83274798584026559754021130883,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -119788050153335886439011928018622128427,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -29947012538333971609752982004655532065,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 52813108431037088098187,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 26406554215518544049095,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 98450765712123522291146765101,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 393803062848494089164587060405,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -642827892869894524709780259403,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -642827892869894524709780259401,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 332478421774535514372369736921,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 332478421774535514372369736923,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 113609611006436942756091027495674017393,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 454438444025747771024364109982696069739,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -77791557888208349002153,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -9723944736026043625269,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": -2320223525573760907699186632145,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -2320223525573760907699186632143,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 645689725201523507655474692469,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 322844862600761753827737346235,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -141155191648670324907550750949,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -564620766594681299630203003795,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 193363290753531895222554475563666181859,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 773453163014127580890217902254664727603,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 77791557888208349075939,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 19447889472052087268985,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 2320223525573760914301507205053,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 2320223525573760914301507205055,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1291379450271765764837365891085,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -645689725135882882418682945541,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 565599670461849650943148161547,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 141399917615462412735787040387,
                    "denominator": 85070591730234615865843651857942052864
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 673839828596605619176796970127991610291,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1347679657193211238353593940255983220749,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -26406554202313902659583,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -52813108404627805319163,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -787606124909300658750106528725,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -787606124909300658750106528723,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 81332390504910967848122087387,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 325329562019643871392488349549,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -341829530202373898264103515957,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -85457382550593474566025878989,
                    "denominator": 85070591730234615865843651857942052864
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 918417779821030139127015130028493368673,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1836835559642060278254030260056986737513,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 571241854391119062267,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 571241854391119062269,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 8518968843361002551076695221,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 4259484421680501275538347611,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -8871160956594780296528078737,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": -70969287652758242372224629895,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 123408909695055558785845326501,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 61704454847527779392922663251,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 2325991462090909319851566077340371278063,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1162995731045454659925783038670185639115,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1575065129009087083005,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -393766282252271770751,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -46987389237076224576580419155,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -46987389237076224576580419153,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 52735003109446771748604418323,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 52735003109446771748604418325,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -12205280469639134439950353083,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -48821121878556537759801412331,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -707823180076973342285006502950897414465,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -353911590038486671142503251475448707191,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -25869314989835767079141,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -25869314989835767079139,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -385791176422335935766331544153,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -48223897052791991970791443019,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 105000323141561028938314124543,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 410157512271722769290289549,
                    "denominator": 664613997892457936451903530140172288
                  }
                },
                {
                  "lo": {
                    "numerator": -90980809714589871069157626743,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -90980809714589871069157626741,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -142927558327149489178797196391494018737,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -1143420466617195913430377571131952149729,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 25869728252998950465343,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 25869728252998950465345,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 96447794105523719248409495537,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 192895588211047438496818991075,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -210000646293604957693629685911,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -210000646293604957693629685909,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 90901930371988912132382791073,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 45450965185994456066191395537,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -910191557293048072442860640213444928867,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -910191557293048072442860640213444928699,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -8913305437849237731993,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -8913305437849237731991,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -66462419760014108252133661125,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -16615604940003527063033415281,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 108606808872304749916617156479,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 108606808872304749916617156481,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -56171046097188246271165856285,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -14042761524297061567791464071,
                    "denominator": 85070591730234615865843651857942052864
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -84620330996112529144055428944039290259,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -676962647968900233152443431552314321903,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -37355230054097,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -2334701878381,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": -2228326274406636383295,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -2228326274406636383293,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -2769267397153684480979345353,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -11077069588614737923917381411,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 2389298053032379625153959479,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 19114384424259037001231675833,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -221866869322376196082462958765415790059,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -110933434661188098041231479382707894987,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -741833,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -92729,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": -34577763628543,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -34577763628541,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -92846917597219626537,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -185693835194439253073,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1384633548372212965349442431,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -692316774186106482674721215,
                    "denominator": 85070591730234615865843651857942052864
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -210504829320604551177408403509349673119,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -210504829320604551177408403509349672947,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1066187,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 533095,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 15900149410539,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 3975037352635,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -3974929194111,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -7949858388221,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 3237878392180667,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 809469598045167,
                    "denominator": 85070591730234615865843651857942052864
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 22724080003543289810109110512132233879,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 22724080003543289810109110512132234051,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -2781001,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -2780999,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -29020238208841,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -29020238208839,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 11606673175578871395,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": 185706770809261942321,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 2769267096727185506587324423,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 346158387090898188323415553,
                    "denominator": 42535295865117307932921825928971026432
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 31994123665961391137565771219042028417,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 255952989327691129100526169752336227509,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 9340107281817,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 37360429127269,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 2228481342799821757863,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 2228481342799821757865,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 22154139177143326703328935773,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 22154139177143326703328935775,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -19114384424227445008673274559,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -9557192212113722504336637279,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 489181898651838970088043833215529174119,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 489181898651838970088043833215529174293,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 4456962666302199601853,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 2228481333151099800927,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 66462419759910760991443140041,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 132924839519821521982886280083,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -27151702218062545868965967593,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -54303404436125091737931935185,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 28085523047926736834184915359,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 877672595247710526068278605,
                    "denominator": 5316911983139663491615228241121378304
                  }
                }
              ]
            ],
            "local_remainder_bounds": [
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              }
            ],
            "increment": [
              {
                "lo": {
                  "numerator": 632877221051121670895789,
                  "denominator": 10633823966279326983230456482242756608
                },
                "hi": {
                  "numerator": 10126035536817946734332625,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -10126035536751151276204643,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -5063017768375575638102321,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -416923475448541659,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -416923475448541657,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 1835882495322496645768629,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 917941247661248322884315,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -332123183233270358739775941,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -332123183233270358739775939,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 332123183233270358739775879,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 332123183233270358739775881,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -229485311915312495714801,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": -1835882495322499965718407,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -92329228986924923,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -92329228986924921,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 254592957298166239,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 7956029915567695,
                  "denominator": 5316911983139663491615228241121378304
                }
              },
              {
                "lo": {
                  "numerator": -28646019391546793748436057,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -3580752423943349218554507,
                  "denominator": 21267647932558653966460912964485513216
                }
              },
              {
                "lo": {
                  "numerator": 28646019391524528794274277,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 14323009695762264397137139,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 180081121367598323,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 720324485470393293,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 25637059351,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 25637059353,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 85,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 171,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -87,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -171,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -428321005,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": -3426568039,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -11932467139,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -11932467137,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1440715772825107783,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -1440715772825107781,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 721362662550313,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 721362662550315,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -721404229981503,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -721404229981501,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 16215892429483,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 64863569717933,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 2656046105773839,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 2656046105773841,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -489030971731923,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": -3912247773855383,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 3912247773855383,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 489030971731923,
                  "denominator": 21267647932558653966460912964485513216
                }
              },
              {
                "lo": {
                  "numerator": -1328023051853907,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -664011525926953,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 28728550092619,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 28728550092621,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -158434907629781,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -158434907629779,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1301004540366643,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -1301004540366641,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 1301018396093643,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1301018396093645,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -112065692119349,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -224131384238697,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -5844683,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -5844681,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 1461301,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 2922603,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 448283552068419,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 448283552068421,
                  "denominator": 340282366920938463463374607431768211456
                }
              }
            ],
            "endpoint": [
              {
                "lo": {
                  "numerator": 92804281887548922121402498994255871245,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775097844242804997988511742495,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943754209099535331540286492563,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775016836398141326161145970257,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057340983999917183120175511,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764335245999979295780043879,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 11600535235941542810184357335889843699,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": 185608563775064684962949717374237499189,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563774393095486768490554574070863,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943598273871692122638643517717,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775721588695952428566168716625,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887860794347976214283084358315,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775049999219771201738916831689,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887524999609885600869458415847,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343198041998322156520511,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764335799510499580539130129,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343641565831783098711035,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 181258363061579437149966632600682335,
                  "denominator": 332306998946228968225951765070086144
                }
              },
              {
                "lo": {
                  "numerator": 185608563774942760003255144039025769783,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943735690000813786009756442447,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775171928606684263712191016751,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943792982151671065928047754189,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672485486700183310193263,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344970973400366620386531,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057345411774392863264297987,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471882168176471799107908037249,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057345854496250597119923849,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528672927248125298559961927,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057346297218108366149161993,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 11600535235941084143576131772884322625,
                  "denominator": 21267647932558653966460912964485513216
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673369969983060736064331,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346739939966121472128667,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057347182661823896444331317,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528673591330911948222165661,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057347623462682761907802081,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528673811731341380953901043,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -730483485860054314957915772379358361479,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -1460966971720108629915831544758716722793,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -274524963762758491984246269945586055033,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -1098099855051033967936985079782344219963,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -152235988150546231584862016318480089033,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -608943952602184926339448065273920355963,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -29947012538333971609752317993129088647,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -119788050153335886439009271972516354419,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 113609611006436942756089071371787089701,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 454438444025747771024356285487148358973,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 386726581507063790445112863375106219101,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 773453163014127580890225726750212438371,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 21057494643643925599274863815779367387,
                  "denominator": 5316911983139663491615228241121378304
                },
                "hi": {
                  "numerator": 1347679657193211238353591284209879512937,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 1836835559642060278254030288785536829965,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 918417779821030139127015144392768415067,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 1162995731045454659925782959452731824141,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 2325991462090909319851565918905463648451,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1415646360153946684570014306906335195573,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -1415646360153946684570014306906335195405,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1143420466617195913430376270113556056253,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -285855116654298978357594067528389014021,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -910191557293048072442861088476213406263,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -910191557293048072442861088476213406093,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -676962647968900233152443431552320166755,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -84620330996112529144055428944040020823,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": -443733738644752392164925917530831580119,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -443733738644752392164925917530831579947,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -6578275916268892224294012609667177285,
                  "denominator": 10633823966279326983230456482242756608
                },
                "hi": {
                  "numerator": -210504829320604551177408403509349672945,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 22724080003543289810109110512132233877,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 22724080003543289810109110512132234051,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 63988247331922782275131542438085518135,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 255952989327691129100526169752342072715,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 244590949325919485044022140749540621269,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 244590949325919485044022140749540621357,
                  "denominator": 170141183460469231731687303715884105728
                }
              }
            ],
            "picard_interior_margin": {
              "numerator": 64254146499,
              "denominator": 85070591730234615865843651857942052864
            },
            "domain_lower_bounds": [
              {
                "numerator": 1,
                "denominator": 1
              }
            ],
            "method": "direct_source_box_Picard_Taylor_dyadic128_v1"
          },
          "true_increment_bounds": {
            "lo": {
              "numerator": -332123183233270358739775911,
              "denominator": 170141183460469231731687303715884105728
            },
            "hi": {
              "numerator": -332123183233270358739775909,
              "denominator": 170141183460469231731687303715884105728
            }
          },
          "endpoint_readout_bounds": {
            "lo": {
              "numerator": -1328493209183938011594645767,
              "denominator": 340282366920938463463374607431768211456
            },
            "hi": {
              "numerator": -1328493209183938011594645757,
              "denominator": 340282366920938463463374607431768211456
            }
          },
          "failed_tube": null,
          "status": "admitted",
          "unavailable_reasons": [],
          "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
          "law": "normalized_sine_reciprocal_exchange",
          "clock": "tau=e*t",
          "capacity": [
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            }
          ],
          "state_order": [
            "x_0",
            "x_1",
            "x_2",
            "x_3",
            "x_4",
            "x_5",
            "x_6",
            "x_7",
            "x_8",
            "x_9",
            "x_10",
            "x_11",
            "x_12",
            "x_13",
            "x_14",
            "x_15",
            "x_16",
            "x_17",
            "theta_0",
            "theta_1",
            "theta_2",
            "theta_3",
            "theta_4",
            "theta_5",
            "theta_6",
            "theta_7",
            "theta_8",
            "theta_9",
            "theta_10",
            "theta_11",
            "theta_12",
            "theta_13",
            "theta_14",
            "theta_15",
            "theta_16",
            "theta_17"
          ],
          "scope": [
            "fixed_two_port_C9_support_and_full_thirty_six_coordinate_source_box",
            "complete_shared_sine_rates_with_both_rows_transformed_to_fast_clock",
            "supplied_phase_dipole_then_unforced_continuous_flow",
            "zero_phase_increment_means_no_event_and_preserves_all_source_coordinates",
            "one_fixed_Picard_Taylor_step_without_retry_or_adaptive_budget",
            "direct_source_box_coefficients_and_whole_tube_derivative_remainder",
            "readout_increment_cancels_the_same_initial_form_coordinate_symbolically",
            "independent_of_inverse_error_bound_target_root_or_forward_verdict",
            "global_smooth_domain_is_not_acute_chart_or_identity_retention",
            "primitive_source_enclosure_is_not_acquisition_or_calibration_evidence",
            "no_sensor_gain_noise_realization_or_physical_measurement"
          ]
        }
      },
      {
        "schema": "tnfr.sine-two-port-readout.v1",
        "report": {
          "initial_form_bounds": [
            {
              "lo": {
                "numerator": 92804281887548922121402498994255871245,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775097844242804997988511742495,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 46402140943754209099535331540286492563,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": 185608563775016836398141326161145970257,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 185608563775057340983999917183120175511,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 46402140943764335245999979295780043879,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": 11600535235941542810184357335889843699,
                "denominator": 21267647932558653966460912964485513216
              },
              "hi": {
                "numerator": 185608563775064684962949717374237499189,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 185608563774393095486768490554574070863,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 46402140943598273871692122638643517717,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": 185608563775721588695952428566168716625,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 92804281887860794347976214283084358315,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": 185608563775049999219771201738916831689,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 92804281887524999609885600869458415847,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": 185608563775057343198041998322156520511,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 46402140943764335799510499580539130129,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": 185608563775057343641565831783098711035,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 181258363061579437149966632600682335,
                "denominator": 332306998946228968225951765070086144
              }
            },
            {
              "lo": {
                "numerator": 185608563774942760003255144039025769783,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 46402140943735690000813786009756442447,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": 185608563775171928606684263712191016751,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 46402140943792982151671065928047754189,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": 92804281887528672485486700183310193263,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057344970973400366620386531,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 185608563775057345411774392863264297987,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 23201070471882168176471799107908037249,
                "denominator": 42535295865117307932921825928971026432
              }
            },
            {
              "lo": {
                "numerator": 185608563775057345854496250597119923849,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 92804281887528672927248125298559961927,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": 185608563775057346297218108366149161993,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 11600535235941084143576131772884322625,
                "denominator": 21267647932558653966460912964485513216
              }
            },
            {
              "lo": {
                "numerator": 92804281887528673369969983060736064331,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057346739939966121472128667,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 185608563775057347182661823896444331317,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 92804281887528673591330911948222165661,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": 185608563775057347623462682761907802081,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 92804281887528673811731341380953901043,
                "denominator": 170141183460469231731687303715884105728
              }
            }
          ],
          "initial_phase_bounds": [
            {
              "lo": {
                "numerator": -730483485860054314957915772379358361479,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": -1460966971720108629915831544758716722793,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -274524963762758491984246269945586055033,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": -1098099855051033967936985079782344219963,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -152235988150546231584862016318480089033,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": -608943952602184926339448065273920355963,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -29947012538333971609752317993129088647,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": -119788050153335886439009271972516354419,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 113609611006436942756089071371787089701,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": 454438444025747771024356285487148358973,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 386726581507063790445112863375106219101,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 773453163014127580890225726750212438371,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 21057494643643925599274863815779367387,
                "denominator": 5316911983139663491615228241121378304
              },
              "hi": {
                "numerator": 1347679657193211238353591284209879512937,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 1836835559642060278254030288785536829965,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 918417779821030139127015144392768415067,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": 1162995731045454659925782959452731824141,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 2325991462090909319851565918905463648451,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -1415646360153946684570014306906335195573,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -1415646360153946684570014306906335195405,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -1143420466617195913430376270113556056253,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -285855116654298978357594067528389014021,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": -910191557293048072442861088476213406263,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -910191557293048072442861088476213406093,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -676962647968900233152443431552320166755,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -84620330996112529144055428944040020823,
                "denominator": 42535295865117307932921825928971026432
              }
            },
            {
              "lo": {
                "numerator": -443733738644752392164925917530831580119,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -443733738644752392164925917530831579947,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -6578275916268892224294012609667177285,
                "denominator": 10633823966279326983230456482242756608
              },
              "hi": {
                "numerator": -210504829320604551177408403509349672945,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 22724080003543289810109110512132233877,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 22724080003543289810109110512132234051,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 63988247331922782275131542438085518135,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": 255952989327691129100526169752342072715,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 244590949325919485044022140749540621269,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 244590949325919485044022140749540621357,
                "denominator": 170141183460469231731687303715884105728
              }
            }
          ],
          "phase_increment": {
            "numerator": 1,
            "denominator": 2
          },
          "probe_duration": {
            "numerator": 9,
            "denominator": 134217728
          },
          "order": 4,
          "reference_model": {
            "storage_scale": 1.0,
            "epi_weight": 0.9990234375,
            "phase_weight": 0.0009765625,
            "phase_domain": "regular"
          },
          "geometry": {
            "nodes": [
              0,
              1,
              2,
              3,
              4,
              5,
              6,
              7,
              8,
              9,
              10,
              11,
              12,
              13,
              14,
              15,
              16,
              17
            ],
            "edges": [
              [
                0,
                1
              ],
              [
                0,
                8
              ],
              [
                0,
                9
              ],
              [
                1,
                2
              ],
              [
                1,
                10
              ],
              [
                2,
                3
              ],
              [
                3,
                4
              ],
              [
                4,
                5
              ],
              [
                5,
                6
              ],
              [
                6,
                7
              ],
              [
                7,
                8
              ],
              [
                9,
                10
              ],
              [
                9,
                17
              ],
              [
                10,
                11
              ],
              [
                11,
                12
              ],
              [
                12,
                13
              ],
              [
                13,
                14
              ],
              [
                14,
                15
              ],
              [
                15,
                16
              ],
              [
                16,
                17
              ]
            ],
            "incidence": [
              [
                -1,
                -1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                1,
                0,
                0,
                -1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                1,
                0,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                -1,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                0,
                -1,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1,
                0
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                -1
              ],
              [
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                1
              ]
            ],
            "tree_edge_indices": [
              0,
              1,
              2,
              3,
              4,
              10,
              12,
              5,
              13,
              9,
              19,
              6,
              14,
              8,
              18,
              15,
              17
            ],
            "fundamental_cycles": [
              [
                4,
                5,
                6,
                7,
                8,
                0,
                1,
                2,
                3
              ],
              [
                9,
                10,
                1,
                0
              ],
              [
                13,
                14,
                15,
                16,
                17,
                9,
                0,
                1,
                10,
                11,
                12
              ]
            ],
            "cycle_rows": [
              [
                1,
                -1,
                0,
                1,
                0,
                1,
                1,
                1,
                1,
                1,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                -1,
                0,
                1,
                0,
                -1,
                0,
                0,
                0,
                0,
                0,
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              [
                1,
                0,
                -1,
                0,
                1,
                0,
                0,
                0,
                0,
                0,
                0,
                0,
                -1,
                1,
                1,
                1,
                1,
                1,
                1,
                1
              ]
            ],
            "bridge_edge_indices": [],
            "cycle_rank": 3,
            "short_cycle_span_rank": 1,
            "scope": [
              "connected_simple_undirected_phase_support_without_self_loops",
              "node_order_and_cycle_basis_are_coordinates_not_physical_selectors",
              "all_support_edges_retained_independently_of_transport_weights",
              "integer_fundamental_cycles_and_exact_rational_short_cycle_rank",
              "32_node_50_edge_evaluation_budget_is_not_a_physical_restriction",
              "no_graph_write_live_phase_admission_or_trajectory_claim"
            ]
          },
          "degrees": [
            3,
            3,
            2,
            2,
            2,
            2,
            2,
            2,
            2,
            3,
            3,
            2,
            2,
            2,
            2,
            2,
            2,
            2
          ],
          "dipole": [
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": -1,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            },
            {
              "numerator": 0,
              "denominator": 1
            }
          ],
          "post_event_initial_box": [
            {
              "lo": {
                "numerator": 92804281887548922121402498994255871245,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775097844242804997988511742495,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 46402140943754209099535331540286492563,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": 185608563775016836398141326161145970257,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 185608563775057340983999917183120175511,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 46402140943764335245999979295780043879,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": 11600535235941542810184357335889843699,
                "denominator": 21267647932558653966460912964485513216
              },
              "hi": {
                "numerator": 185608563775064684962949717374237499189,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 185608563774393095486768490554574070863,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 46402140943598273871692122638643517717,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": 185608563775721588695952428566168716625,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 92804281887860794347976214283084358315,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": 185608563775049999219771201738916831689,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 92804281887524999609885600869458415847,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": 185608563775057343198041998322156520511,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 46402140943764335799510499580539130129,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": 185608563775057343641565831783098711035,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 181258363061579437149966632600682335,
                "denominator": 332306998946228968225951765070086144
              }
            },
            {
              "lo": {
                "numerator": 185608563774942760003255144039025769783,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 46402140943735690000813786009756442447,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": 185608563775171928606684263712191016751,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 46402140943792982151671065928047754189,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": 92804281887528672485486700183310193263,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057344970973400366620386531,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 185608563775057345411774392863264297987,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 23201070471882168176471799107908037249,
                "denominator": 42535295865117307932921825928971026432
              }
            },
            {
              "lo": {
                "numerator": 185608563775057345854496250597119923849,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 92804281887528672927248125298559961927,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": 185608563775057346297218108366149161993,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 11600535235941084143576131772884322625,
                "denominator": 21267647932558653966460912964485513216
              }
            },
            {
              "lo": {
                "numerator": 92804281887528673369969983060736064331,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 185608563775057346739939966121472128667,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 185608563775057347182661823896444331317,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 92804281887528673591330911948222165661,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": 185608563775057347623462682761907802081,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 92804281887528673811731341380953901043,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": -730483485860054314957915772379358361479,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": -1460966971720108629915831544758716722793,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -274524963762758491984246269945586055033,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": -1098099855051033967936985079782344219963,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -152235988150546231584862016318480089033,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": -608943952602184926339448065273920355963,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -29947012538333971609752317993129088647,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": -119788050153335886439009271972516354419,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 156144906871554250689010897300758116133,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": 624579627486217002756043589203032464701,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 301655989776829174579269211517164166237,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 603311979553658349158538423034328332643,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 21057494643643925599274863815779367387,
                "denominator": 5316911983139663491615228241121378304
              },
              "hi": {
                "numerator": 1347679657193211238353591284209879512937,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 1836835559642060278254030288785536829965,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 918417779821030139127015144392768415067,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            {
              "lo": {
                "numerator": 1162995731045454659925782959452731824141,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 2325991462090909319851565918905463648451,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -1415646360153946684570014306906335195573,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -1415646360153946684570014306906335195405,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -1143420466617195913430376270113556056253,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -285855116654298978357594067528389014021,
                "denominator": 85070591730234615865843651857942052864
              }
            },
            {
              "lo": {
                "numerator": -910191557293048072442861088476213406263,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -910191557293048072442861088476213406093,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -676962647968900233152443431552320166755,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -84620330996112529144055428944040020823,
                "denominator": 42535295865117307932921825928971026432
              }
            },
            {
              "lo": {
                "numerator": -443733738644752392164925917530831580119,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -443733738644752392164925917530831579947,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": -6578275916268892224294012609667177285,
                "denominator": 10633823966279326983230456482242756608
              },
              "hi": {
                "numerator": -210504829320604551177408403509349672945,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 22724080003543289810109110512132233877,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 22724080003543289810109110512132234051,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 63988247331922782275131542438085518135,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": 255952989327691129100526169752342072715,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            {
              "lo": {
                "numerator": 244590949325919485044022140749540621269,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 244590949325919485044022140749540621357,
                "denominator": 170141183460469231731687303715884105728
              }
            }
          ],
          "baseline_readout_bounds": {
            "lo": {
              "numerator": -1328493209183938011594645767,
              "denominator": 340282366920938463463374607431768211456
            },
            "hi": {
              "numerator": -1328493209183938011594645757,
              "denominator": 340282366920938463463374607431768211456
            }
          },
          "step": {
            "time": {
              "numerator": 0,
              "denominator": 1
            },
            "duration": {
              "numerator": 9,
              "denominator": 134217728
            },
            "order": 4,
            "initial_box": [
              {
                "lo": {
                  "numerator": 92804281887548922121402498994255871245,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775097844242804997988511742495,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943754209099535331540286492563,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775016836398141326161145970257,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057340983999917183120175511,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764335245999979295780043879,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 11600535235941542810184357335889843699,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": 185608563775064684962949717374237499189,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563774393095486768490554574070863,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943598273871692122638643517717,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775721588695952428566168716625,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887860794347976214283084358315,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775049999219771201738916831689,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887524999609885600869458415847,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343198041998322156520511,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764335799510499580539130129,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343641565831783098711035,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 181258363061579437149966632600682335,
                  "denominator": 332306998946228968225951765070086144
                }
              },
              {
                "lo": {
                  "numerator": 185608563774942760003255144039025769783,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943735690000813786009756442447,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775171928606684263712191016751,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943792982151671065928047754189,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672485486700183310193263,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344970973400366620386531,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057345411774392863264297987,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471882168176471799107908037249,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057345854496250597119923849,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528672927248125298559961927,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057346297218108366149161993,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 11600535235941084143576131772884322625,
                  "denominator": 21267647932558653966460912964485513216
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673369969983060736064331,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346739939966121472128667,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057347182661823896444331317,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528673591330911948222165661,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057347623462682761907802081,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528673811731341380953901043,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -730483485860054314957915772379358361479,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -1460966971720108629915831544758716722793,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -274524963762758491984246269945586055033,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -1098099855051033967936985079782344219963,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -152235988150546231584862016318480089033,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -608943952602184926339448065273920355963,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -29947012538333971609752317993129088647,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -119788050153335886439009271972516354419,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 156144906871554250689010897300758116133,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 624579627486217002756043589203032464701,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 301655989776829174579269211517164166237,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 603311979553658349158538423034328332643,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 21057494643643925599274863815779367387,
                  "denominator": 5316911983139663491615228241121378304
                },
                "hi": {
                  "numerator": 1347679657193211238353591284209879512937,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 1836835559642060278254030288785536829965,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 918417779821030139127015144392768415067,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 1162995731045454659925782959452731824141,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 2325991462090909319851565918905463648451,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1415646360153946684570014306906335195573,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -1415646360153946684570014306906335195405,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1143420466617195913430376270113556056253,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -285855116654298978357594067528389014021,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -910191557293048072442861088476213406263,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -910191557293048072442861088476213406093,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -676962647968900233152443431552320166755,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -84620330996112529144055428944040020823,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": -443733738644752392164925917530831580119,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -443733738644752392164925917530831579947,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -6578275916268892224294012609667177285,
                  "denominator": 10633823966279326983230456482242756608
                },
                "hi": {
                  "numerator": -210504829320604551177408403509349672945,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 22724080003543289810109110512132233877,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 22724080003543289810109110512132234051,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 63988247331922782275131542438085518135,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 255952989327691129100526169752342072715,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 244590949325919485044022140749540621269,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 244590949325919485044022140749540621357,
                  "denominator": 170141183460469231731687303715884105728
                }
              }
            ],
            "tube": [
              {
                "lo": {
                  "numerator": 46402140943773195306283297598992867431,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 23201070471892926425231408015293867729,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 92804281887485634619547680307558321445,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775021899415813100355040701693,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057340954409874122170775713,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 185608563775057340989139444029724752115,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563774364440162484418511928455887,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 185608563775142489940779195269941087951,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563770885685188382269401583099277,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 185608563774782807742144737593686762773,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775331876440576181527056024859,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140944807249748584662429789921741,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 46402140943743048560485430962792962617,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 92804281887875122010118250264799203563,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343191926403887642428963,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471882167903066760952761971535,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 46402140943764335910301281888158761499,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775057343644812167658248440829,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 23201070471851731614695143151948024447,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 185608563774957083012776699708188528651,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943789401399290679793876424131,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775300835692378162343335643237,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057344969952940423634773625,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528672490078768827233823539,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057345411774392560509779305,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528672705887196694515855283,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 46402140943764336463624062580560492813,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 46402140943764336463624062717999470357,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057346297218108091271207905,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528673148609054320513557355,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 5800267617970542085623123932224206929,
                  "denominator": 10633823966279326983230456482242756608
                },
                "hi": {
                  "numerator": 46402140943764336684984991599515831125,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057347182661823401505321161,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 185608563775057347182661824195773471957,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673807139197584908730593,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057347624483159405364868359,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1460966971720108629915832056011490642431,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -1460966971720108629915826945682774703255,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1098099855051033967936989678951813113539,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -1098099855051033967936984568519178425615,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -608943952602184926339449664729755089911,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -304471976301092463169719428978919729427,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -14973506269166985804878497051080970673,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -119788050153335886438956864284522175007,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 312289813743108501377947855344499786905,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 39036226717888562672253751274585752283,
                  "denominator": 21267647932558653966460912964485513216
                }
              },
              {
                "lo": {
                  "numerator": 603311979553658349158521991843988760647,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 603311979553658349158686301548361223365,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 1347679657193211238353538876521906555069,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 168459957149151404794201248580752254513,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 1836835559642060278254022045408174476139,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 459208889910515069563508047987020020785,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 1162995731045454659925782454261179771797,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 2325991462090909319851566031414588910719,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -353911590038486671142505650271213549347,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -1415646360153946684570013385086608277901,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -571710233308597956715188595968373452495,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -1143420466617195913430367975903861673175,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -56886972330815504527678996651636034715,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": -455095778646524036221430385340940791663,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -676962647968900233152443431827271340987,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -676962647968900233152443431277434118811,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -443733738644752392164925917805709487101,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -221866869322376196082462958627976836483,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -210504829320604551177408403784227580101,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -52626207330151137794352100808617941491,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 22724080003543289810109110237254326895,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 2840510000442911226263638848376267629,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 63988247331922782275131542369364006099,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 255952989327691129100526170027293250281,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 244590949325919485044021981849776760949,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 244590949325919485044023569747903736371,
                  "denominator": 170141183460469231731687303715884105728
                }
              }
            ],
            "series": [
              [
                {
                  "lo": {
                    "numerator": 92804281887548922121402498994255871245,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775097844242804997988511742495,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 151010381281816086559019021063477,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 302020762563632173118038042126961,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -687494609334709971537834949392245,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -687494609334709971537834949392229,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 460095908509565888006806616675267,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 28755994281847868000425413542205,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": -13287966162595486759938909183815,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": -26575932325190973519877818367629,
                    "denominator": 42535295865117307932921825928971026432
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 46402140943754209099535331540286492563,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775016836398141326161145970257,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -302020762561639912460432237127231,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -37752595320204989057554029640903,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 343747304972394829451781597529985,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 343747304972394829451781597529993,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -717942949853170485488574532493749,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -89742868731646310686071816561717,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 255297191733524456355169840560733,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 255297191733524456355169840560741,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 185608563775057340983999917183120175511,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764335245999979295780043879,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -8290151744742685212468787,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -16580303489485370424937561,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -154477110685722567709674956028585,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": -2471633770971561083354799296457345,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -112634298405496641808198564017049,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -225268596810993283616397128034085,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 884144146443919184802390136209473,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 884144146443919184802390136209481,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 11600535235941542810184357335889843699,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 185608563775064684962949717374237499189,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1160311698990446780296474514548003,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -9282493591923574242371796116384011,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -6982373750145178948093886107048569,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -3491186875072589474046943053524277,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 7340559018793428598524958827676049,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 3670279509396714299262479413838031,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1010788603667591558243035079374383,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -4043154414670366232972140317497525,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 185608563774393095486768490554574070863,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943598273871692122638643517717,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -46494482167847631637031325339142843,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -46494482167847631637031325339142829,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 16275119113952429865933161339620581,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 32550238227904859731866322679241177,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -4359711848206179464246600960116751,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -1089927962051544866061650240029187,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 7457137401721736684138323212680407,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 3728568700860868342069161606340207,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 185608563775721588695952428566168716625,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887860794347976214283084358315,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 23247241083923815818515660772457155,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 46494482167847631637031321544914323,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -16275119113952429908370887713610621,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -32550238227904859816741775427221227,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 8719423695990440789268730999542085,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 8719423695990440789268730999542091,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -233133857838580167381820173566103,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": -932535431354320669527280694264411,
                    "denominator": 42535295865117307932921825928971026432
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 185608563775049999219771201738916831689,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887524999609885600869458415847,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 4641246795961786951435000170097603,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 9282493591923573902870000340195219,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 6982373745082161476021836352989329,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 218199179533817546125682386030917,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": -3682863705565311501676087416022585,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -3682863705565311501676087416022579,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 1018301866102229706387534625182995,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 4073207464408918825550138500731987,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 185608563775057343198041998322156520511,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764335799510499580539130129,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -1835883669195819572441313,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -3671767338391639144882613,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1160311702439647839480883822772915,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 2320623404879295678961767645545845,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 12979881632790893704456462003605,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": 415356212249308598542606784115373,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -996823549170366158426454805938873,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -996823549170366158426454805938865,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 185608563775057343641565831783098711035,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 181258363061579437149966632600682335,
                    "denominator": 332306998946228968225951765070086144
                  }
                },
                {
                  "lo": {
                    "numerator": 20250078859192053874246223,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 5062519714798013468561559,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 75505185119417630517340497011519,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 151010370238835261034680994023053,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 110925669828285724177012552017305,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 221851339656571448354025104034623,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 53968679486296564087091358471249,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 53968679486296564087091358471257,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 185608563774942760003255144039025769783,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943735690000813786009756442447,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -1708801575753230946280465313738125,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -13350012310572116767816135263579,
                    "denominator": 2658455991569831745807614120560689152
                  }
                },
                {
                  "lo": {
                    "numerator": 1239874628474148912099581613803703,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 619937314237074456049790806901859,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -674910334595224511067809214022155,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -337455167297612255533904607011071,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 146199284786441839604498288149515,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 146199284786441839604498288149519,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 185608563775171928606684263712191016751,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943792982151671065928047754189,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 1708801575751902790056832093430591,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1708801575751902790056832093430605,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -619937314236687090256799286683089,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -619937314236687090256799286683081,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 674910334662912783368476695632573,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 337455167331456391684238347816293,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -156942910483792328800327502689201,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -156942910483792328800327502689197,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528672485486700183310193263,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057344970973400366620386531,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 57292038051525518218572483,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 3580752378220344888660781,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 427200365291962225824679340440769,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 26700022830747639114042458777549,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": -10907683269604160414577216860661,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": -349045864627333133266470939541139,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 45131312701333896532104906447907,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 45131312701333896532104906447909,
                    "denominator": 85070591730234615865843651857942052864
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 185608563775057345411774392863264297987,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471882168176471799107908037249,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 1164835302412367839,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 291208825603091963,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 14323007856924418298563189,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 3580751964231104574640801,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 71200050771065540109123069543095,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 17800012692766385027280767385777,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -61430740868424606330797566043733,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -61430740868424606330797566043725,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 185608563775057345854496250597119923849,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528672927248125298559961927,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 8793402665,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 549587667,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": 72802199274950165,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 72802199274950169,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 2387167691644481659561347,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 149197980727780103722585,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 2225001270629322041959337703593,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 2225001270629322041959337703595,
                    "denominator": 85070591730234615865843651857942052864
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 185608563775057346297218108366149161993,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 11600535235941084143576131772884322625,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": -6853135747,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -6853135731,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1596896208400325,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": -51100678668810383,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 25548946998690901,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 6387236749672727,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -10406051096707703899,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -10406051096707703891,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 92804281887528673369969983060736064331,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057346739939966121472128667,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -204402745968315307,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -204402745968315293,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -86822767473768427,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -86822767473768411,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -2387250837863706968710631,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1193625418931853484355309,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -4450002541230940025600714951039,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -4450002541230940025600714951035,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 185608563775057347182661823896444331317,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528673591330911948222165661,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -756096626970001953,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -189024156742500485,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -14323506223303745461537591,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1790438277912968182692197,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -17800012692697167444262675904259,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -69531299580848310329151077751,
                    "denominator": 332306998946228968225951765070086144
                  }
                },
                {
                  "lo": {
                    "numerator": 61430740868323074547590429016347,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 61430740868323074547590429016355,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 185608563775057347623462682761907802081,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528673811731341380953901043,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -28647015247656035372419663,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -57294030495312070744839313,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -213600182645648970426208452459207,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -427200365291297940852416904918399,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1363460408699835022747279774729,
                    "denominator": 1329227995784915872903807060280344576
                  },
                  "hi": {
                    "numerator": 87261466156789441455825905582659,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -45131312699199025519646882331151,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -180525250796796102078587529324597,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -730483485860054314957915772379358361479,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1460966971720108629915831544758716722793,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 7171895261136803410687,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 28687581044547213642751,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 106958128469843261216566216107,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 213916256939686522433132432215,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -143160396353477883557058446829,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -143160396353477883557058446827,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 16538382302492789433015488417,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 66153529209971157732061953669,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -274524963762758491984246269945586055033,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -1098099855051033967936985079782344219963,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -28688820846774988067113,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -28688820846774988067111,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -213916257129514868790634870665,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -26739532141189358598829358833,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 223390370389626183019727768823,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 223390370389626183019727768825,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -39718291896101617549585396243,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -19859145948050808774792698121,
                    "denominator": 85070591730234615865843651857942052864
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -152235988150546231584862016318480089033,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -608943952602184926339448065273920355963,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 5159017111887894418507,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 5159017111887894418509,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 769057149878759694501645739041,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 384528574939379847250822869521,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 35046540730365110763304478379,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 8761635182591277690826119595,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -275104424482734086033291170493,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -68776106120683521508322792623,
                    "denominator": 85070591730234615865843651857942052864
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -29947012538333971609752317993129088647,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -119788050153335886439009271972516354419,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 26406553131613509104659,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 52813106263227018209319,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 2172589045651422475953221661587,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 2172589045651422475953221661589,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1142019741663122859582825861091,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -2284039483326245719165651722179,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 78627564163255199986978639561,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 1258041026612083199791658232977,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 156144906871554250689010897300758116133,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 624579627486217002756043589203032464701,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -311166222842989259864757,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -311166222842989259864755,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -10128115958533390666652532431973,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -10128115958533390666652532431971,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 678269519192742012260769814633,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 2713078076770968049043079258533,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -2320313427650113007472588810985,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -2320313427650113007472588810983,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 301655989776829174579269211517164166237,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 603311979553658349158538423034328332643,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 155583111421494630522671,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 9723944463843414407667,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": 2532028989633347673265453291581,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 10128115958533390693061813166325,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -2713078076639686810181471078491,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1356539038319843405090735539245,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 2321292331344111041507135703387,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 2321292331344111041507135703389,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 21057494643643925599274863815779367387,
                    "denominator": 5316911983139663491615228241121378304
                  },
                  "hi": {
                    "numerator": 1347679657193211238353591284209879512937,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -52813106210408455470699,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -26406553105204227735349,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -2172589044076047562934149448003,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -2172589044076047562934149448001,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1145935356620778819129946392311,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 143241919577597352391243299039,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": -633696067018595337019908813287,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1267392134037190674039817626573,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 1836835559642060278254030288785536829965,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 918417779821030139127015144392768415067,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 285620687865657806369,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 571241375731315612739,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -361034883618069286971602635907,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -180517441809034643485801317953,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -64619741128050505952365862593,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1009683455125789155505716603,
                    "denominator": 2658455991569831745807614120560689152
                  }
                },
                {
                  "lo": {
                    "numerator": 155082499787122838740444156477,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 310164999574245677480888312955,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 1162995731045454659925782959452731824141,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 2325991462090909319851565918905463648451,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -6300880055128610717727,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -6300880055128610717725,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -46987383932840276085260950289,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -46987383932840276085260950287,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -8628723800641021879112949049,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -34514895202564087516451796195,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -8396268057582234685262104365,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -16792536115164469370524208729,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -1415646360153946684570014306906335195573,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1415646360153946684570014306906335195405,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -51738628563300151568441,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -51738628563300151568439,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -385791155299875552126273334493,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -385791155299875552126273334491,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 6562519815051407025363695079,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": 105000317040822512405819121265,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -90980804243428388751382391911,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -90980804243428388751382391909,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -1143420466617195913430376270113556056253,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -285855116654298978357594067528389014021,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 25869520913223585328535,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 3233690114152948166067,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 385791155299634491767170250895,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 24111947206227155735448140681,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": -210000634102706460119168112579,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -210000634102706460119168112577,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 24416658832648752874366976141,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 97666635330595011497467904565,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -910191557293048072442861088476213406263,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -910191557293048072442861088476213406093,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -4456652535797115732331,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -17826610143188462929321,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -132924828596047526505356372513,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -4153900893626485203292386641,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": 3393962541849396530581703367,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": 54303400669590344489307253873,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -7021380296201922370412729017,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -56171042369615378963301832135,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -676962647968900233152443431552320166755,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -84620330996112529144055428944040020823,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -298841835303647,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -298841835303645,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -4456652338675785070399,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -2228326169337892535199,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -22154136613790874232174334681,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -22154136613790874232174334679,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 19114382795335547213249694843,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 4778595698833886803312423711,
                    "denominator": 85070591730234615865843651857942052864
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -443733738644752392164925917530831580119,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -443733738644752392164925917530831579947,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -2736097,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -85503,
                    "denominator": 5316911983139663491615228241121378304
                  }
                },
                {
                  "lo": {
                    "numerator": -90610600966817,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -2831581280213,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": -371387650626590241089,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -5802932041040472517,
                    "denominator": 2658455991569831745807614120560689152
                  }
                },
                {
                  "lo": {
                    "numerator": -346158335433465498570548741,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -2769266683467723988564389927,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": -6578275916268892224294012609667177285,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": -210504829320604551177408403509349672945,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 2132375,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 2132377,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 7950073905661,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 15900147811323,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -3974820635785,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -7949641271569,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 1618938997303625,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 3237877994607251,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 22724080003543289810109110512132233877,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 22724080003543289810109110512132234051,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -764241,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -1528481,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 27015201331019,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 6753800332755,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 742801172480513739703,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 742801172480513739705,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1384633341725241782834509875,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 2769266683450483565669019751,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 63988247331922782275131542438085518135,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 255952989327691129100526169752342072715,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 37357828949469,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 149431315797877,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 4456807407060305319731,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 4456807407060305319733,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 22154136613704725091905321905,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 22154136613704725091905321907,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -9557191397651977627749456535,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -19114382795303955255498913069,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              [
                {
                  "lo": {
                    "numerator": 244590949325919485044022140749540621269,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 244590949325919485044022140749540621357,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 17827230037929764453507,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 17827230037929764453509,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 132924828595840831989463765843,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 132924828595840831989463765845,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -54303400669563061402768224495,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -27151700334781530701384112247,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 56171042366958289618526369991,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 7021380295869786202315796249,
                    "denominator": 42535295865117307932921825928971026432
                  }
                }
              ]
            ],
            "local_remainder_bounds": [
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": 0,
                  "denominator": 1
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              }
            ],
            "increment": [
              {
                "lo": {
                  "numerator": 40504137510392397600430541,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 40504137510392397600430543,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -40504137510125289625246915,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -40504137510125289625246913,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -12225258175092527621,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -12225258175092527619,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -622439731219065786702879413,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -622439731219065786702879411,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -3117697833975086717232319381,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -3117697833975086717232319379,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 3117697833975086717232318425,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 3117697833975086717232318427,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 622439731219065733583687517,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 622439731219065733583687519,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 10188247557945503869,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 10188247557945503871,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 1018438594042592133,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 509219297021296067,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -114584069203722864514635759,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -114584069203722864514635757,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 114584069203633804703213481,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 114584069203633804703213483,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 1440648882282450435,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 2881297764564900871,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 163977648993,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 163977648995,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 3387,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 3389,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -691,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -43,
                  "denominator": 21267647932558653966460912964485513216
                }
              },
              {
                "lo": {
                  "numerator": -856642093,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": -6853136743,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -136571825851,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -136571825849,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1440682283223490949,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -2881364566446981897,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 2885505922038827,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 2885505922038829,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -2885589033920249,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -2885589033920247,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 3803930144215237,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 3803930144215239,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 8425812621364839,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 1053226577670605,
                  "denominator": 21267647932558653966460912964485513216
                }
              },
              {
                "lo": {
                  "numerator": -66405413074573535,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -66405413074573533,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 66405413074573533,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 66405413074573535,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -16851625226201465,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -16851625226201463,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -3170107448517057,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -3170107448517055,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -316890589382791,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -158445294691395,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -5204017939858007,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -5204017939858005,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 5204045651310383,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 5204045651310385,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -896525479649733,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -224131369912433,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": -5844681,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -23378723,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 0,
                  "denominator": 1
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -1,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 23379769,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 11689885,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 1793092526480119,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1793092526480121,
                  "denominator": 340282366920938463463374607431768211456
                }
              }
            ],
            "endpoint": [
              {
                "lo": {
                  "numerator": 185608563775138348380315390386112173031,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887569174190157695193056086519,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563774976332260631200871520723337,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 11600535235936020766289450054470045209,
                  "denominator": 21267647932558653966460912964485513216
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670485887329504013823945,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057340971774659008027647897,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563774442245231730651587534619771,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887221122615865325793767309889,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 92804281885637698826396701918670875741,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563771275397652793403837341751489,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281889419643264963757641700517525,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563778839286529927515283401035057,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887836219475495133736250259603,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775672438950990267472500519213,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943764335802057561470025506095,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775057343208230245880102024387,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343643602708971183895301,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764335910900677242795973827,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 23201070471853521991756427646813891753,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 185608563774828175934051421174511134031,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 23201070471910814084485987189611778779,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 185608563775286512675887897516894230239,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672488367997947875094133,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344976735995895750188273,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943764336352943598256810486745,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775057345411774393027241946987,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943764336463624062649279981809,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775057345854496250597119927243,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673148609054183074580651,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 5800267617970542071788065886442161291,
                  "denominator": 10633823966279326983230456482242756608
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673369969983053882927587,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346739939966107765855181,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673591330911879936252733,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057347182661823759872505473,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057347617699953629013838285,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764336904424988407253459573,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -1460966971720108629915828659252794684131,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -365241742930027157478957164813198670991,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -1098099855051033967936987965371378140381,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -549049927525516983968493982685689070105,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -608943952602184926339444261343776140895,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -152235988150546231584861065335944035181,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -59894025076667943219496210173636812455,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -119788050153335886438992420347273624739,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 624579627486217002755977183789957890997,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 19518113358944281336124286993436184099,
                  "denominator": 10633823966279326983230456482242756608
                }
              },
              {
                "lo": {
                  "numerator": 603311979553658349158604828447402906007,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 301655989776829174579302414223701453089,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 1347679657193211238353574432584653311303,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 673839828596605619176787216292326655737,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 459208889910515069563506779669522078227,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 1836835559642060278254027118678088313079,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 581497865522727329962891321281071220675,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 2325991462090909319851565285124284882871,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -353911590038486671142504877731068763395,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -707823180076973342285009755462137526705,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -571710233308597956715185533033952372935,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -1143420466617195913430371066067904745699,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -910191557293048072442862881527172705729,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -910191557293048072442862881527172705557,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -676962647968900233152443431552366924203,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -338481323984450116576221715776183462015,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -443733738644752392164925917530831580121,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -443733738644752392164925917530831579947,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -210504829320604551177408403509349673121,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -210504829320604551177408403509349672943,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 5681020000885822452527277628033058469,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 5681020000885822452527277628033058513,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 127976494663845564550263084876194416039,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 255952989327691129100526169752388832255,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 489181898651838970088046074591607722657,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 489181898651838970088046074591607722835,
                  "denominator": 340282366920938463463374607431768211456
                }
              }
            ],
            "picard_interior_margin": {
              "numerator": 34077876781,
              "denominator": 85070591730234615865843651857942052864
            },
            "domain_lower_bounds": [
              {
                "numerator": 1,
                "denominator": 1
              }
            ],
            "method": "direct_source_box_Picard_Taylor_dyadic128_v1"
          },
          "true_increment_bounds": {
            "lo": {
              "numerator": -389712229246885839654039863,
              "denominator": 21267647932558653966460912964485513216
            },
            "hi": {
              "numerator": -1558848916987543358616159451,
              "denominator": 85070591730234615865843651857942052864
            }
          },
          "endpoint_readout_bounds": {
            "lo": {
              "numerator": -7563888877134111446059283575,
              "denominator": 340282366920938463463374607431768211456
            },
            "hi": {
              "numerator": -7563888877134111446059283561,
              "denominator": 340282366920938463463374607431768211456
            }
          },
          "failed_tube": null,
          "status": "admitted",
          "unavailable_reasons": [],
          "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
          "law": "normalized_sine_reciprocal_exchange",
          "clock": "tau=e*t",
          "capacity": [
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 1,
              "denominator": 1
            }
          ],
          "state_order": [
            "x_0",
            "x_1",
            "x_2",
            "x_3",
            "x_4",
            "x_5",
            "x_6",
            "x_7",
            "x_8",
            "x_9",
            "x_10",
            "x_11",
            "x_12",
            "x_13",
            "x_14",
            "x_15",
            "x_16",
            "x_17",
            "theta_0",
            "theta_1",
            "theta_2",
            "theta_3",
            "theta_4",
            "theta_5",
            "theta_6",
            "theta_7",
            "theta_8",
            "theta_9",
            "theta_10",
            "theta_11",
            "theta_12",
            "theta_13",
            "theta_14",
            "theta_15",
            "theta_16",
            "theta_17"
          ],
          "scope": [
            "fixed_two_port_C9_support_and_full_thirty_six_coordinate_source_box",
            "complete_shared_sine_rates_with_both_rows_transformed_to_fast_clock",
            "supplied_phase_dipole_then_unforced_continuous_flow",
            "zero_phase_increment_means_no_event_and_preserves_all_source_coordinates",
            "one_fixed_Picard_Taylor_step_without_retry_or_adaptive_budget",
            "direct_source_box_coefficients_and_whole_tube_derivative_remainder",
            "readout_increment_cancels_the_same_initial_form_coordinate_symbolically",
            "independent_of_inverse_error_bound_target_root_or_forward_verdict",
            "global_smooth_domain_is_not_acute_chart_or_identity_retention",
            "primitive_source_enclosure_is_not_acquisition_or_calibration_evidence",
            "no_sensor_gain_noise_realization_or_physical_measurement"
          ]
        }
      }
    ],
    "observed_reading_times": [
      {
        "numerator": 0,
        "denominator": 1
      },
      {
        "numerator": 1,
        "denominator": 33554432
      },
      {
        "numerator": 1,
        "denominator": 16777216
      },
      {
        "numerator": 1,
        "denominator": 8388608
      }
    ],
    "structural_reading_times": [
      {
        "numerator": 0,
        "denominator": 1
      },
      {
        "numerator": 9,
        "denominator": 268435456
      },
      {
        "numerator": 9,
        "denominator": 134217728
      },
      {
        "numerator": 9,
        "denominator": 67108864
      }
    ],
    "structural_segment_starts": [
      {
        "numerator": 0,
        "denominator": 1
      },
      {
        "numerator": 9,
        "denominator": 268435456
      },
      {
        "numerator": 9,
        "denominator": 134217728
      }
    ],
    "actual_phase_jumps": [
      {
        "numerator": 1,
        "denominator": 4
      },
      {
        "numerator": 0,
        "denominator": 1
      },
      {
        "numerator": 1,
        "denominator": 2
      }
    ],
    "stopping_rule": {
      "clock_profile_admitted": true,
      "first_window_mean_identity": true,
      "segment_1_source_association": true,
      "segment_1_phase_only_or_zero_event": true,
      "segment_1_complete_horizon": true,
      "segment_2_source_association": true,
      "segment_2_phase_only_or_zero_event": true,
      "segment_2_complete_horizon": true,
      "segment_2_shared_baseline": true,
      "segment_3_source_association": true,
      "segment_3_phase_only_or_zero_event": true,
      "segment_3_complete_horizon": true,
      "segment_3_shared_baseline": true,
      "passive_half_window_reading": true,
      "held_sensor_admitted": true,
      "numerical_reading_halfwidths": true
    },
    "readings": {
      "raw_readout_bounds": [
        {
          "lo": {
            "numerator": -442721857769029238785,
            "denominator": 340282366920938463463374607431768211456
          },
          "hi": {
            "numerator": -442721857769029238783,
            "denominator": 340282366920938463463374607431768211456
          }
        },
        {
          "lo": {
            "numerator": -664246842717397294115093945,
            "denominator": 340282366920938463463374607431768211456
          },
          "hi": {
            "numerator": -664246842717397294115093939,
            "denominator": 340282366920938463463374607431768211456
          }
        },
        {
          "lo": {
            "numerator": -1328493209183938011594645767,
            "denominator": 340282366920938463463374607431768211456
          },
          "hi": {
            "numerator": -1328493209183938011594645757,
            "denominator": 340282366920938463463374607431768211456
          }
        },
        {
          "lo": {
            "numerator": -7563888877134111446059283575,
            "denominator": 340282366920938463463374607431768211456
          },
          "hi": {
            "numerator": -7563888877134111446059283561,
            "denominator": 340282366920938463463374607431768211456
          }
        }
      ],
      "recorded_reading_bounds": [
        {
          "lo": {
            "numerator": 65438916715565088817666739383684712163,
            "denominator": 170141183460469231731687303715884105728
          },
          "hi": {
            "numerator": 130877833431130177635333478767369424331,
            "denominator": 340282366920938463463374607431768211456
          }
        },
        {
          "lo": {
            "numerator": 65438916715100116337669861853563567023,
            "denominator": 170141183460469231731687303715884105728
          },
          "hi": {
            "numerator": 130877833430200232675339723707127134057,
            "denominator": 340282366920938463463374607431768211456
          }
        },
        {
          "lo": {
            "numerator": 16359729178658785970285820803472231819,
            "denominator": 42535295865117307932921825928971026432
          },
          "hi": {
            "numerator": 16359729178658785970285820803472231821,
            "denominator": 42535295865117307932921825928971026432
          }
        },
        {
          "lo": {
            "numerator": 32719458355135183456789080973601317141,
            "denominator": 85070591730234615865843651857942052864
          },
          "hi": {
            "numerator": 65438916710270366913578161947202634293,
            "denominator": 170141183460469231731687303715884105728
          }
        }
      ],
      "recorded_increment_bounds": [
        {
          "lo": {
            "numerator": -1859889873046912339591569779,
            "denominator": 340282366920938463463374607431768211456
          },
          "hi": {
            "numerator": -929944936523456169795784879,
            "denominator": 170141183460469231731687303715884105728
          }
        },
        {
          "lo": {
            "numerator": -2182388483782560633343146501,
            "denominator": 85070591730234615865843651857942052864
          },
          "hi": {
            "numerator": -4364776967565121266686292983,
            "denominator": 170141183460469231731687303715884105728
          }
        }
      ],
      "recorded_curvature_bounds": {
        "lo": {
          "numerator": 11735149445223252691,
          "denominator": 85070591730234615865843651857942052864
        },
        "hi": {
          "numerator": 46940597780893010807,
          "denominator": 340282366920938463463374607431768211456
        }
      }
    }
  },
  "cases": [
    {
      "id": "linear-positive",
      "clock_audit": {
        "definition": "rho(s)=first_window_mean+slope*(s-H/2)",
        "profile_id": "linear-positive",
        "first_window_mean": {
          "numerator": 9,
          "denominator": 8
        },
        "slope": {
          "numerator": 1,
          "denominator": 8388608
        },
        "observed_reading_times": [
          {
            "numerator": 0,
            "denominator": 1
          },
          {
            "numerator": 1,
            "denominator": 33554432
          },
          {
            "numerator": 1,
            "denominator": 16777216
          },
          {
            "numerator": 1,
            "denominator": 8388608
          }
        ],
        "sampled_rates": [
          {
            "numerator": 316659348799487,
            "denominator": 281474976710656
          },
          {
            "numerator": 9,
            "denominator": 8
          },
          {
            "numerator": 316659348799489,
            "denominator": 281474976710656
          },
          {
            "numerator": 316659348799491,
            "denominator": 281474976710656
          }
        ],
        "global_rate_bounds": [
          {
            "numerator": 316659348799487,
            "denominator": 281474976710656
          },
          {
            "numerator": 316659348799491,
            "denominator": 281474976710656
          }
        ],
        "derivative_upper_bound": {
          "numerator": 1,
          "denominator": 8388608
        },
        "structural_reading_times": [
          {
            "numerator": 0,
            "denominator": 1
          },
          {
            "numerator": 633318697598975,
            "denominator": 18889465931478580854784
          },
          {
            "numerator": 9,
            "denominator": 134217728
          },
          {
            "numerator": 316659348799489,
            "denominator": 2361183241434822606848
          }
        ],
        "structural_segment_durations": [
          {
            "numerator": 633318697598975,
            "denominator": 18889465931478580854784
          },
          {
            "numerator": 633318697598977,
            "denominator": 18889465931478580854784
          },
          {
            "numerator": 158329674399745,
            "denominator": 2361183241434822606848
          }
        ],
        "admitted": true,
        "first_window_mean_identity": true,
        "signed_half_exposure_difference": {
          "numerator": -1,
          "denominator": 18889465931478580854784
        },
        "signed_final_exposure_difference": {
          "numerator": 1,
          "denominator": 2361183241434822606848
        }
      },
      "responses": [
        {
          "schema": "tnfr.sine-two-port-readout.v1",
          "report": {
            "initial_form_bounds": [
              {
                "lo": {
                  "numerator": 92804281887528670049556049799869909625,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057340099112099599739819251,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670270916978684384529017,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057340541833957368769058035,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670492277907568899148409,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057340984555815137798296819,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670713638836453413767801,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057341427277672906827535603,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670934999765337928387193,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057341869999530675856774387,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671156360694222443006585,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057342312721388444886013171,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671377721623106957625977,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057342755443246213915251955,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671599082551991472245369,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057343198165103982944490739,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671820443480875986864761,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057343640886961751973729523,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672041804409760501484153,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344083608819521002968307,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672263165338645016103545,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344526330677290032207091,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672484526267529530722937,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344969052535059061445875,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672705887196414045342329,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057345411774392828090684659,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672927248125298559961721,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057345854496250597119923443,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673148609054183074581113,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346297218108366149162227,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673369969983067589200505,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346739939966135178401011,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673591330911952103819897,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057347182661823904207639795,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673812691840836618439289,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057347625383681673236878579,
                  "denominator": 340282366920938463463374607431768211456
                }
              }
            ],
            "initial_phase_bounds": [
              {
                "lo": {
                  "numerator": -1460966971720108629915832506557133013607,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -730483485860054314957916253278566506723,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -1098099855051033967936984117900793279831,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -549049927525516983968492058950396639833,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -608943952602184926339448238243435443543,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -304471976301092463169724119121717721689,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -119788050153335886439012813367356355927,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -59894025076667943219506406683678177881,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 369367852295513155158523066290001480361,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 184683926147756577579261533145000740263,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 858523754744362196756058945947359316649,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 429261877372181098378029472973679658407,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 1347679657193211238353594825604717152937,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 673839828596605619176797412802358576551,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 1836835559642060278254030250480796240553,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 918417779821030139127015125240398120359,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 2325991462090909319851566130138154076841,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1162995731045454659925783065069077038503,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -707823180076973342285006286116802076963,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -707823180076973342285006286116802076881,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -571710233308597956715189002406999276221,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -1143420466617195913430378004813998552277,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -910191557293048072442860490792516645443,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -910191557293048072442860490792516645277,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -169240661992225058288110857888078371779,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -676962647968900233152443431552313486949,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -443733738644752392164925917530831580117,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -443733738644752392164925917530831579949,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -105252414660302275588704201754674836559,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -210504829320604551177408403509349672949,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 22724080003543289810109110512132233881,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 22724080003543289810109110512132234051,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 15997061832980695568782885609520962013,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": 255952989327691129100526169752335392379,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 489181898651838970088043683773817299207,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 489181898651838970088043683773817299379,
                  "denominator": 340282366920938463463374607431768211456
                }
              }
            ],
            "phase_increment": {
              "numerator": 1,
              "denominator": 4
            },
            "probe_duration": {
              "numerator": 633318697598975,
              "denominator": 18889465931478580854784
            },
            "order": 4,
            "reference_model": {
              "storage_scale": 1.0,
              "epi_weight": 0.9990234375,
              "phase_weight": 0.0009765625,
              "phase_domain": "regular"
            },
            "geometry": {
              "nodes": [
                0,
                1,
                2,
                3,
                4,
                5,
                6,
                7,
                8,
                9,
                10,
                11,
                12,
                13,
                14,
                15,
                16,
                17
              ],
              "edges": [
                [
                  0,
                  1
                ],
                [
                  0,
                  8
                ],
                [
                  0,
                  9
                ],
                [
                  1,
                  2
                ],
                [
                  1,
                  10
                ],
                [
                  2,
                  3
                ],
                [
                  3,
                  4
                ],
                [
                  4,
                  5
                ],
                [
                  5,
                  6
                ],
                [
                  6,
                  7
                ],
                [
                  7,
                  8
                ],
                [
                  9,
                  10
                ],
                [
                  9,
                  17
                ],
                [
                  10,
                  11
                ],
                [
                  11,
                  12
                ],
                [
                  12,
                  13
                ],
                [
                  13,
                  14
                ],
                [
                  14,
                  15
                ],
                [
                  15,
                  16
                ],
                [
                  16,
                  17
                ]
              ],
              "incidence": [
                [
                  -1,
                  -1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  1,
                  0,
                  0,
                  -1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  1,
                  0,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  -1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1
                ]
              ],
              "tree_edge_indices": [
                0,
                1,
                2,
                3,
                4,
                10,
                12,
                5,
                13,
                9,
                19,
                6,
                14,
                8,
                18,
                15,
                17
              ],
              "fundamental_cycles": [
                [
                  4,
                  5,
                  6,
                  7,
                  8,
                  0,
                  1,
                  2,
                  3
                ],
                [
                  9,
                  10,
                  1,
                  0
                ],
                [
                  13,
                  14,
                  15,
                  16,
                  17,
                  9,
                  0,
                  1,
                  10,
                  11,
                  12
                ]
              ],
              "cycle_rows": [
                [
                  1,
                  -1,
                  0,
                  1,
                  0,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  -1,
                  0,
                  1,
                  0,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  1,
                  0,
                  -1,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  -1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              ],
              "bridge_edge_indices": [],
              "cycle_rank": 3,
              "short_cycle_span_rank": 1,
              "scope": [
                "connected_simple_undirected_phase_support_without_self_loops",
                "node_order_and_cycle_basis_are_coordinates_not_physical_selectors",
                "all_support_edges_retained_independently_of_transport_weights",
                "integer_fundamental_cycles_and_exact_rational_short_cycle_rank",
                "32_node_50_edge_evaluation_budget_is_not_a_physical_restriction",
                "no_graph_write_live_phase_admission_or_trajectory_claim"
              ]
            },
            "degrees": [
              3,
              3,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              3,
              3,
              2,
              2,
              2,
              2,
              2,
              2,
              2
            ],
            "dipole": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": -1,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              }
            ],
            "post_event_initial_box": [
              {
                "lo": {
                  "numerator": 92804281887528670049556049799869909625,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057340099112099599739819251,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670270916978684384529017,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057340541833957368769058035,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670492277907568899148409,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057340984555815137798296819,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670713638836453413767801,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057341427277672906827535603,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670934999765337928387193,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057341869999530675856774387,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671156360694222443006585,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057342312721388444886013171,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671377721623106957625977,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057342755443246213915251955,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671599082551991472245369,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057343198165103982944490739,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671820443480875986864761,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057343640886961751973729523,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672041804409760501484153,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344083608819521002968307,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672263165338645016103545,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344526330677290032207091,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672484526267529530722937,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344969052535059061445875,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672705887196414045342329,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057345411774392828090684659,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672927248125298559961721,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057345854496250597119923443,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673148609054183074581113,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346297218108366149162227,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673369969983067589200505,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346739939966135178401011,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673591330911952103819897,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057347182661823904207639795,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673812691840836618439289,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057347625383681673236878579,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1460966971720108629915832506557133013607,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -730483485860054314957916253278566506723,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -1098099855051033967936984117900793279831,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -549049927525516983968492058950396639833,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -608943952602184926339448238243435443543,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -304471976301092463169724119121717721689,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -119788050153335886439012813367356355927,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -59894025076667943219506406683678177881,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 454438444025747771024366718147943533225,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 227219222012873885512183359073971766695,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 773453163014127580890215294089417263785,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 386726581507063790445107647044708631975,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 1347679657193211238353594825604717152937,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 673839828596605619176797412802358576551,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 1836835559642060278254030250480796240553,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 918417779821030139127015125240398120359,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 2325991462090909319851566130138154076841,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1162995731045454659925783065069077038503,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -707823180076973342285006286116802076963,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -707823180076973342285006286116802076881,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -571710233308597956715189002406999276221,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -1143420466617195913430378004813998552277,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -910191557293048072442860490792516645443,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -910191557293048072442860490792516645277,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -169240661992225058288110857888078371779,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -676962647968900233152443431552313486949,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -443733738644752392164925917530831580117,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -443733738644752392164925917530831579949,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -105252414660302275588704201754674836559,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -210504829320604551177408403509349672949,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 22724080003543289810109110512132233881,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 22724080003543289810109110512132234051,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 15997061832980695568782885609520962013,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": 255952989327691129100526169752335392379,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 489181898651838970088043683773817299207,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 489181898651838970088043683773817299379,
                  "denominator": 340282366920938463463374607431768211456
                }
              }
            ],
            "baseline_readout_bounds": {
              "lo": {
                "numerator": -442721857769029238785,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -442721857769029238783,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            "step": {
              "time": {
                "numerator": 0,
                "denominator": 1
              },
              "duration": {
                "numerator": 633318697598975,
                "denominator": 18889465931478580854784
              },
              "order": 4,
              "initial_box": [
                {
                  "lo": {
                    "numerator": 92804281887528670049556049799869909625,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057340099112099599739819251,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528670270916978684384529017,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057340541833957368769058035,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528670492277907568899148409,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057340984555815137798296819,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528670713638836453413767801,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057341427277672906827535603,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528670934999765337928387193,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057341869999530675856774387,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528671156360694222443006585,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057342312721388444886013171,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528671377721623106957625977,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057342755443246213915251955,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528671599082551991472245369,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057343198165103982944490739,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528671820443480875986864761,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057343640886961751973729523,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528672041804409760501484153,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057344083608819521002968307,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528672263165338645016103545,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057344526330677290032207091,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528672484526267529530722937,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057344969052535059061445875,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528672705887196414045342329,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057345411774392828090684659,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528672927248125298559961721,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057345854496250597119923443,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673148609054183074581113,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057346297218108366149162227,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673369969983067589200505,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057346739939966135178401011,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673591330911952103819897,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057347182661823904207639795,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673812691840836618439289,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057347625383681673236878579,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1460966971720108629915832506557133013607,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -730483485860054314957916253278566506723,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1098099855051033967936984117900793279831,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -549049927525516983968492058950396639833,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -608943952602184926339448238243435443543,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -304471976301092463169724119121717721689,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -119788050153335886439012813367356355927,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -59894025076667943219506406683678177881,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 454438444025747771024366718147943533225,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 227219222012873885512183359073971766695,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 773453163014127580890215294089417263785,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 386726581507063790445107647044708631975,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 1347679657193211238353594825604717152937,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 673839828596605619176797412802358576551,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 1836835559642060278254030250480796240553,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 918417779821030139127015125240398120359,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 2325991462090909319851566130138154076841,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1162995731045454659925783065069077038503,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -707823180076973342285006286116802076963,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -707823180076973342285006286116802076881,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -571710233308597956715189002406999276221,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1143420466617195913430378004813998552277,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -910191557293048072442860490792516645443,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -910191557293048072442860490792516645277,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -169240661992225058288110857888078371779,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -676962647968900233152443431552313486949,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -443733738644752392164925917530831580117,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -443733738644752392164925917530831579949,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -105252414660302275588704201754674836559,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -210504829320604551177408403509349672949,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 22724080003543289810109110512132233881,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 22724080003543289810109110512132234051,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 15997061832980695568782885609520962013,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 255952989327691129100526169752335392379,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 489181898651838970088043683773817299207,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 489181898651838970088043683773817299379,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              "tube": [
                {
                  "lo": {
                    "numerator": 92804281887527404294956969716358581735,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775080123681895538903920465713,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775034556959050668353474055249,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775059872051032100837026642295,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528670492051758190325559251,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 23201070471882167623091270619567837925,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764220613874476869457427681,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775061472173295559568784703947,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943670925814553625220217379349,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775098857271308978675191275781,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 5800267617969244590981623138923484743,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": 185608563775430980924506418239873270161,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887526606004712679775979041805,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057801727223011642913076833,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343198086239055682868387,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057343198182416012219431211,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343640791409790330084999,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1450066904492635497197827202808200899,
                    "denominator": 2658455991569831745807614120560689152
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887496445267440980961031715517,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 23201070471883063198627864381763743161,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 23201070471881272877614573415395530123,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 92804281887560899037528742396410323243,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528672484391206538364049445,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057344970283089740941073117,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528672705887196276178066675,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057345411774393110678390877,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057345854496250322241993417,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528672927248125435998926791,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057346297218108091271232087,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764336574304527160256773063,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 23201070471882168342492495731573836849,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 185608563775057346739939966410912952319,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673591330911814236535495,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 46402140943764336795665456046698875869,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057347624153060189469104083,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471882168453206717106710842941,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -730483485860054314957916321060212291951,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1460966971720108629915831890122323171499,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -68631240940689622996061545898573143971,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": -536181569849137679656730460146029733,
                    "denominator": 166153499473114484112975882535043072
                  }
                },
                {
                  "lo": {
                    "numerator": -304471976301092463169724146383879959139,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -304471976301092463169724048617182953081,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -59894025076667943219506655825455446825,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -119788050153335886439010544386284908709,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 454438444025747771024360034449494283663,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 227219222012873885512184092757900257783,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 773453163014127580890213826721560281609,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 96681645376765947611277747223483314189,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 336919914298302809588398139155911426471,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 1347679657193211238353595323888271690825,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1836835559642060278254030244819308170073,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1836835559642060278254030275294676003667,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1162995731045454659925782997268239146485,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 2325991462090909319851566160144260288325,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1415646360153946684570013683783240947097,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -353911590038486671142503082005091134945,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -571710233308597956715189124506691219047,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1143420466617195913430376893250506032349,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -910191557293048072442860873958533767561,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -910191557293048072442860406468364276443,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -676962647968900233152443431827191394089,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -84620330996112529144055428909679447497,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -221866869322376196082462958902854743545,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -27733358665297024510307869828497104561,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": -210504829320604551177408403784227580091,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -26313103665075568897176050404308970747,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 5681020000885822452527277559313581727,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 710127500110727806565909712094066907,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": 15997061832980695568782885592341092821,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 255952989327691129100526170027213299799,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 30573868665739935630502724966903032571,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 489181898651838970088044066960618013713,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              "series": [
                [
                  {
                    "lo": {
                      "numerator": 92804281887528670049556049799869909625,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057340099112099599739819251,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 604041617327482494947074141460973,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 604041617327482494947074141460979,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -687494701890220514583118902954243,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -687494701890220514583118902954235,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 230047984225498605470512490481177,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 230047984225498605470512490481181,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -13967366754933745467132633614217,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": -223477868078939927474122137827467,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528670270916978684384529017,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057340541833957368769058035,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -604041617323498014414746793504929,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -604041617323498014414746793504923,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 687494701888338948128153000062969,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 343747350944169474064076500031489,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -228526943811082064624474498871203,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -228526943811082064624474498871199,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 186673858696091297082240489229451,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 11667116168505706067640030576841,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528670492277907568899148409,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057340984555815137798296819,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -8772500294717025,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -274140634209907,
                      "denominator": 2658455991569831745807614120560689152
                    }
                  },
                  {
                    "lo": {
                      "numerator": -123631676525622336684218673537169,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -123631676525622336684218673537163,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -133040792996084534998418418612245,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -66520396498042267499209209306121,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 133816336084567277818959169006717,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 267632672169134555637918338013439,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528670713638836453413767801,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057341427277672906827535603,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 109514911221008597514959366939103,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 109514911221008597514959366939107,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2531247591434771813180363998309629,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -2531247591434771813180363998309623,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1032976060270065362273167231286555,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 516488030135032681136583615643279,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -534267806856487705042273294092395,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -1068535613712975410084546588184785,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528670934999765337928387193,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057341869999530675856774387,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -9905960543297070022601536080492197,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -9905960543297070022601536080492193,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 7456849135278054666329891902103919,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 3728424567639027333164945951051963,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -4150299042560811578783682312375379,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1037574760640202894695920578093843,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1814606105338105232879292147661479,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 1814606105338105232879292147661483,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528671156360694222443006585,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057342312721388444886013171,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 9905960543297070022601536080492193,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 9905960543297070022601536080492197,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -3728424567639027333164945951051963,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -7456849135278054666329891902103919,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1037574760640202894695920578093843,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 4150299042560811578783682312375379,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1817752155423327706924804965719033,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -454438038855831926731201241429757,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528671377721623106957625977,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057342755443246213915251955,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -109514911221008597514959366939107,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -109514911221008597514959366939103,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 2531247591434771813180363998309623,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 2531247591434771813180363998309629,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2091120520938182087125296441783735,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -130695032558636380445331027611483,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1098588669756087395468192176055541,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 549294334878043697734096088027773,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528671599082551991472245369,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057343198165103982944490739,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 274140634209907,
                      "denominator": 2658455991569831745807614120560689152
                    },
                    "hi": {
                      "numerator": 8772500294717025,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -27378727805750228625908923275777,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -13689363902875114312954461637885,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 456169236026952702767372376082163,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 228084618013476351383686188041085,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -396617665380638264428501966645583,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -198308832690319132214250983322789,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528671820443480875986864761,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057343640886961751973729523,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -124515427144275400397,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": -498061708577101601587,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 151010404332866755905061001636643,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 151010404332866755905061001636649,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -42370592719884794390393041721341,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -169482370879539177561572166885357,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 156903741260733961059890680875161,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 78451870630366980529945340437583,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528672041804409760501484153,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057344083608819521002968307,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1708801742033385341785295666318513,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1708801742033385341785295666318507,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1239874764242950577711975475603981,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 1239874764242950577711975475603989,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -674910413022637152334928986990847,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -84363801627829644041866123373855,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 292398604739858809617049589967851,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 292398604739858809617049589967857,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528672263165338645016103545,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057344526330677290032207091,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1708801742032057185457763451134227,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 1708801742032057185457763451134233,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1239874764242175852903354090050413,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1239874764242175852903354090050405,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 674910413022329737801429496018121,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 674910413022329737801429496018129,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -146072549014206175567987547935605,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -292145098028412351135975095871205,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528672484526267529530722937,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057344969052535059061445875,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -204402755792934101,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -12775172237058381,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": 53400054438501806211424362546129,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 26700027219250903105712181273065,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -349045913047981859095890328386415,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -43630739130997732386986291048301,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 180525274765049353440363316035533,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 90262637382524676720181658017769,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528672705887196414045342329,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057345411774392828090684659,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 12775172237058381,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 204402755792934101,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -76651033422350289,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -76651033422350285,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 71200067248075639158031264186109,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 71200067248075639158031264186117,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -15357687834663351224827478155271,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -30715375669326702449654956310539,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528672927248125298559961721,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057345854496250597119923443,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -3,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 3,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 3193793059264595,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 51100688948233529,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -6387585639766329,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -798448204970791,
                      "denominator": 5316911983139663491615228241121378304
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1112500967366910891438596212063,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 4450003869467643565754384848255,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528673148609054183074581113,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057346297218108366149162227,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -3,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 3,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -51100688948233529,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -3193793059264595,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": 798448204970791,
                      "denominator": 5316911983139663491615228241121378304
                    },
                    "hi": {
                      "numerator": 6387585639766329,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -5203026826094852425,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -10406053652189704845,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528673369969983067589200505,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057346739939966135178401011,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -204402755792934101,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -12775172237058381,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": 76651033422350285,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 76651033422350289,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -41547566700903530469,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -41547566700903530465,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -8900007738879879007055543517129,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -2225001934719969751763885879281,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528673591330911952103819897,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057347182661823904207639795,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 12775172237058381,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 204402755792934101,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -498213132957128561047,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -31138320809820535065,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -8900008405974846099840740627281,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -71200067247798768798725925018241,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 61430751338551872963611548453881,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 30715375669275936481805774226943,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528673812691840836618439289,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057347625383681673236878579,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -498059868221073187827,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -249029934110536593913,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -427200435507350164683854400625167,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -53400054438418770585481800078145,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 349045913047806490502120665146917,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 87261478261951622625530166286731,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -22565659345626166164586884830881,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -180525274765009329316695078647043,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -1460966971720108629915832506557133013607,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -730483485860054314957916253278566506723,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -826526358695226153,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -413263179347613075,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 53479071434661581004610917627,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 213916285738646324018443670509,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -8947525937778543184426966057,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": -71580207502228345475415728455,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 69535893445825970425951324461,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 34767946722912985212975662231,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -1098099855051033967936984117900793279831,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -549049927525516983968492058950396639833,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -413263179347613077,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -413263179347613075,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -106958142869030434132754145131,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -53479071434515217066377072565,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 71106930662127042075840588137,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 35553465331063521037920294069,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -58084202150414736003377320409,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -7260525268801842000422165051,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -608943952602184926339448238243435443543,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -304471976301092463169724119121717721689,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 38468411420901340097391489407,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 38468411420901340097391489409,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 82792180295763453382026392063,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 82792180295763453382026392065,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -41637402987961850857670319191,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -83274805975923701715340638381,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -119788050153335886439012813367356355927,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -59894025076667943219506406683678177881,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 787606190354444268765990501311,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 12306346724288191699468601583,
                      "denominator": 5316911983139663491615228241121378304
                    }
                  },
                  {
                    "lo": {
                      "numerator": -642827937458727007534056013049,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -642827937458727007534056013047,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 83119610945734884245798095059,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 332478443782939536983192380237,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 454438444025747771024366718147943533225,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 227219222012873885512183359073971766695,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2320223655464374847771075938651,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1160111827732187423885537969325,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 322844881531148700503300763219,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 645689763062297401006601526439,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -564620800580275169407275648923,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -282310400290137584703637824461,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 773453163014127580890215294089417263785,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 386726581507063790445107647044708631975,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1160111827732187423885537969325,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 2320223655464374847771075938651,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -645689763062297401006601526439,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -322844881531148700503300763219,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 282799852310306927387859679853,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 565599704620613854775719359707,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 1347679657193211238353594825604717152937,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 673839828596605619176797412802358576551,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -12306346724288191699468601583,
                      "denominator": 5316911983139663491615228241121378304
                    },
                    "hi": {
                      "numerator": -787606190354444268765990501311,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 650659169882201659066908250219,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 325329584941100829533454125111,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -42728694151688614733228206747,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -170914776606754458932912826987,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 1836835559642060278254030250480796240553,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 918417779821030139127015125240398120359,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 4259491559973284550193310209,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 2129745779986642275096655105,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -35484647963985426607599243851,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -70969295927970853215198487701,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 123408920381453937933617741563,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 123408920381453937933617741565,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 2325991462090909319851566130138154076841,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 1162995731045454659925783065069077038503,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 619894769021419613,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 619894769021419615,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -46987394541312831626253098915,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -46987394541312831626253098913,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 13183752414217439847354381529,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 26367504828434879694708763059,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -24410563374950766861178191781,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -48821126749901533722356383561,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -707823180076973342285006286116802076963,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -707823180076973342285006286116802076881,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -192895598772398773332807572787,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -385791197544797546665615145573,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 210000658484599824681573247969,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 210000658484599824681573247971,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -45490407592875844480816541263,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -90980815185751688961633082525,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -571710233308597956715189002406999276221,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -1143420466617195913430378004813998552277,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 413263179347613075,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 413263179347613077,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 96447799386139122103827776985,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 192895598772278244207655553971,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -13125041155281510725487056109,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": -105000329242252085803896448871,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 11362741964175628250803957193,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 45450967856702513003215828773,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -910191557293048072442860490792516645443,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -910191557293048072442860490792516645277,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -132924850444009664206200908697,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -16615606305501208025775113587,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 108606816405429310761113439019,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 108606816405429310761113439021,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -28085524912380677702528253815,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -56171049824761355405056507629,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -169240661992225058288110857888078371779,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -676962647968900233152443431552313486949,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 5962556628675,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 47700453029401,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -22154141740668295919166951827,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -22154141740668295919166951825,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 4778596513295662704881236855,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 19114386053182650819524947421,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -443733738644752392164925917530831580117,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -443733738644752392164925917530831579949,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -15900151009801,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1987518876225,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 15900151009799,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 15900151009801,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1384633755010584517985574813,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -2769267510021169035971149625,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -105252414660302275588704201754674836559,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -210504829320604551177408403509349672949,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1987518876225,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 15900151009801,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -15900151009801,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -15900151009799,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1618939394877059,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 3237878789754119,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 22724080003543289810109110512132233881,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 22724080003543289810109110512132234051,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -47700453029401,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -5962556628675,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 25855331806489823,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 25855331806489825,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1384633755001964305321699237,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 2769267510003928610643398475,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 15997061832980695568782885609520962013,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 255952989327691129100526169752335392379,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 77510350698735417,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 155020701397470835,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 22154141740582146770424307319,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 22154141740582146770424307321,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1194649128321941175895375285,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": -19114386053151058814326004559,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 489181898651838970088043683773817299207,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 489181898651838970088043683773817299379,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 619894769021419613,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 619894769021419615,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 66462425221901484839665706513,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 33231212610950742419832853257,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -108606816405374744230021568673,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -108606816405374744230021568671,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 56171049824748901763605536525,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 28085524912374450881802768263,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ]
              ],
              "local_remainder_bounds": [
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                }
              ],
              "increment": [
                {
                  "lo": {
                    "numerator": 20252072619262463325563471,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 20252072619262463325563473,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -20252072619128873092983975,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -20252072619128873092983973,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -138974479229579209,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -138974479229579207,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 458971335174933540095523,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 1835885340699734160382093,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -332123199997769238125769405,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -332123199997769238125769403,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 332123199997769238125769399,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 332123199997769238125769401,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -3671770681399469269321309,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -3671770681399469269321307,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -30776431801045207,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -30776431801045205,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 42421029132162125,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 84842058264324251,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -57292041570581804017119821,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -57292041570581804017119819,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 57292041570537274107054519,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 57292041570537274107054521,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 60027042077269069,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 240108168309076277,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 4768276989,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 2384138495,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 67,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 69,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -59,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -7,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -1713284067,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -3426568133,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 2084579331,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 521144833,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -480283138503967197,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -480283138503967195,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 240435753740335,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 240435753740337,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -240477320958797,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -240477320958795,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 21621187825773,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 10810593912887,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 885348734227497,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 885348734227499,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -2608165247463645,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -2608165247463643,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 2608165247463643,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 2608165247463645,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -13833573967693,
                    "denominator": 5316911983139663491615228241121378304
                  },
                  "hi": {
                    "numerator": -442674366966175,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 9576190496793,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 9576190496795,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -26398891399389,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -6599722849847,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -433668190675003,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -433668190675001,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 27105127900159,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 216841023201273,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -4669404008857,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": -74710464141711,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -208739,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -417477,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 104391,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 417565,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 149441711874911,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 149441711874913,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              "endpoint": [
                {
                  "lo": {
                    "numerator": 185608563775077592171731362063065382721,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943769398042932840515766345681,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775037088469214828495676074059,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887518544234607414247838037031,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057340984416840658568717609,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764335246104210164642179403,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887530506598979536187574149893,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775061013197959072375148299789,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563774725218670001761437731004981,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471840652333750220179716375623,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775389465512719157683011782569,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943847366378179789420752945643,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775053670984761846744645930645,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471881708873095230843080741331,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343198134327551143445531,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528671599067163775571722767,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528671820528322934251189011,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057343641056645868502378025,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775000052042038237716985848485,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471875006505254779714623231061,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775114636567901214564139261609,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943778659141975303641034815403,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528672484766375697839799213,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057344969532751395679598429,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764336352943598209406809659,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775057345411774392837627238639,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057345854496250597119923509,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471882168231812031324639990439,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057346297218108366149162167,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057346297218108366149162171,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673369969983064162632371,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057346739939966128325264745,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 23201070471882168397832727988547099807,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 185608563775057347182661823908376798459,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057347624903398534732911381,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471882168453112924816841613923,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -182620871465013578739479033265172409159,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -1460966971720108629915832266121379273109,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -274524963762758491984246089594528559657,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -1098099855051033967936984358378114238461,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -608943952602184926339448195001059791997,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -304471976301092463169724097500529895915,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -59894025076667943219505964009311064215,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -119788050153335886439011928018622128263,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 113609611006436942756091027495674017395,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 454438444025747771024364109982696069747,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 193363290753531895222554475563666181857,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 773453163014127580890217902254664727595,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1347679657193211238353593940255983220585,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 84229978574575702397099621265998951297,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 918417779821030139127015130028493368673,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1836835559642060278254030260056986737513,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 2325991462090909319851566077340371278063,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1162995731045454659925783038670185639115,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1415646360153946684570013005901794828929,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1415646360153946684570013005901794828763,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -571710233308597956715188785565976074949,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1143420466617195913430377571131952149731,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -910191557293048072442860640213444928867,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -910191557293048072442860640213444928699,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -84620330996112529144055428944039290259,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -676962647968900233152443431552314321903,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -221866869322376196082462958765415790059,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -110933434661188098041231479382707894987,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -210504829320604551177408403509349673119,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -210504829320604551177408403509349672947,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 22724080003543289810109110512132233879,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 22724080003543289810109110512132234051,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 31994123665961391137565771219042028417,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 255952989327691129100526169752336227509,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 244590949325919485044021916607764587059,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 122295474662959742522010958303882293573,
                    "denominator": 85070591730234615865843651857942052864
                  }
                }
              ],
              "picard_interior_margin": {
                "numerator": 255105774935,
                "denominator": 340282366920938463463374607431768211456
              },
              "domain_lower_bounds": [
                {
                  "numerator": 1,
                  "denominator": 1
                }
              ],
              "method": "direct_source_box_Picard_Taylor_dyadic128_v1"
            },
            "true_increment_bounds": {
              "lo": {
                "numerator": -332123199997769238125769403,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": -332123199997769238125769401,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            "endpoint_readout_bounds": {
              "lo": {
                "numerator": -664246842717396245280777591,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -664246842717396245280777585,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            "failed_tube": null,
            "status": "admitted",
            "unavailable_reasons": [],
            "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
            "law": "normalized_sine_reciprocal_exchange",
            "clock": "tau=e*t",
            "capacity": [
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              }
            ],
            "state_order": [
              "x_0",
              "x_1",
              "x_2",
              "x_3",
              "x_4",
              "x_5",
              "x_6",
              "x_7",
              "x_8",
              "x_9",
              "x_10",
              "x_11",
              "x_12",
              "x_13",
              "x_14",
              "x_15",
              "x_16",
              "x_17",
              "theta_0",
              "theta_1",
              "theta_2",
              "theta_3",
              "theta_4",
              "theta_5",
              "theta_6",
              "theta_7",
              "theta_8",
              "theta_9",
              "theta_10",
              "theta_11",
              "theta_12",
              "theta_13",
              "theta_14",
              "theta_15",
              "theta_16",
              "theta_17"
            ],
            "scope": [
              "fixed_two_port_C9_support_and_full_thirty_six_coordinate_source_box",
              "complete_shared_sine_rates_with_both_rows_transformed_to_fast_clock",
              "supplied_phase_dipole_then_unforced_continuous_flow",
              "zero_phase_increment_means_no_event_and_preserves_all_source_coordinates",
              "one_fixed_Picard_Taylor_step_without_retry_or_adaptive_budget",
              "direct_source_box_coefficients_and_whole_tube_derivative_remainder",
              "readout_increment_cancels_the_same_initial_form_coordinate_symbolically",
              "independent_of_inverse_error_bound_target_root_or_forward_verdict",
              "global_smooth_domain_is_not_acute_chart_or_identity_retention",
              "primitive_source_enclosure_is_not_acquisition_or_calibration_evidence",
              "no_sensor_gain_noise_realization_or_physical_measurement"
            ]
          }
        },
        {
          "schema": "tnfr.sine-two-port-readout.v1",
          "report": {
            "initial_form_bounds": [
              {
                "lo": {
                  "numerator": 185608563775077592171731362063065382721,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943769398042932840515766345681,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775037088469214828495676074059,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887518544234607414247838037031,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057340984416840658568717609,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764335246104210164642179403,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 92804281887530506598979536187574149893,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775061013197959072375148299789,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563774725218670001761437731004981,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471840652333750220179716375623,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775389465512719157683011782569,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943847366378179789420752945643,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775053670984761846744645930645,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471881708873095230843080741331,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343198134327551143445531,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528671599067163775571722767,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671820528322934251189011,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057343641056645868502378025,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775000052042038237716985848485,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471875006505254779714623231061,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775114636567901214564139261609,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943778659141975303641034815403,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672484766375697839799213,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344969532751395679598429,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943764336352943598209406809659,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775057345411774392837627238639,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057345854496250597119923509,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471882168231812031324639990439,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057346297218108366149162167,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 185608563775057346297218108366149162171,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673369969983064162632371,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346739939966128325264745,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 23201070471882168397832727988547099807,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 185608563775057347182661823908376798459,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057347624903398534732911381,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471882168453112924816841613923,
                  "denominator": 42535295865117307932921825928971026432
                }
              }
            ],
            "initial_phase_bounds": [
              {
                "lo": {
                  "numerator": -182620871465013578739479033265172409159,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -1460966971720108629915832266121379273109,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -274524963762758491984246089594528559657,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -1098099855051033967936984358378114238461,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -608943952602184926339448195001059791997,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -304471976301092463169724097500529895915,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -59894025076667943219505964009311064215,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -119788050153335886439011928018622128263,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 113609611006436942756091027495674017395,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 454438444025747771024364109982696069747,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 193363290753531895222554475563666181857,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 773453163014127580890217902254664727595,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 1347679657193211238353593940255983220585,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 84229978574575702397099621265998951297,
                  "denominator": 21267647932558653966460912964485513216
                }
              },
              {
                "lo": {
                  "numerator": 918417779821030139127015130028493368673,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 1836835559642060278254030260056986737513,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 2325991462090909319851566077340371278063,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1162995731045454659925783038670185639115,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -1415646360153946684570013005901794828929,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -1415646360153946684570013005901794828763,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -571710233308597956715188785565976074949,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -1143420466617195913430377571131952149731,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -910191557293048072442860640213444928867,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -910191557293048072442860640213444928699,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -84620330996112529144055428944039290259,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -676962647968900233152443431552314321903,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -221866869322376196082462958765415790059,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -110933434661188098041231479382707894987,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -210504829320604551177408403509349673119,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -210504829320604551177408403509349672947,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 22724080003543289810109110512132233879,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 22724080003543289810109110512132234051,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 31994123665961391137565771219042028417,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 255952989327691129100526169752336227509,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 244590949325919485044021916607764587059,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 122295474662959742522010958303882293573,
                  "denominator": 85070591730234615865843651857942052864
                }
              }
            ],
            "phase_increment": {
              "numerator": 0,
              "denominator": 1
            },
            "probe_duration": {
              "numerator": 633318697598977,
              "denominator": 18889465931478580854784
            },
            "order": 4,
            "reference_model": {
              "storage_scale": 1.0,
              "epi_weight": 0.9990234375,
              "phase_weight": 0.0009765625,
              "phase_domain": "regular"
            },
            "geometry": {
              "nodes": [
                0,
                1,
                2,
                3,
                4,
                5,
                6,
                7,
                8,
                9,
                10,
                11,
                12,
                13,
                14,
                15,
                16,
                17
              ],
              "edges": [
                [
                  0,
                  1
                ],
                [
                  0,
                  8
                ],
                [
                  0,
                  9
                ],
                [
                  1,
                  2
                ],
                [
                  1,
                  10
                ],
                [
                  2,
                  3
                ],
                [
                  3,
                  4
                ],
                [
                  4,
                  5
                ],
                [
                  5,
                  6
                ],
                [
                  6,
                  7
                ],
                [
                  7,
                  8
                ],
                [
                  9,
                  10
                ],
                [
                  9,
                  17
                ],
                [
                  10,
                  11
                ],
                [
                  11,
                  12
                ],
                [
                  12,
                  13
                ],
                [
                  13,
                  14
                ],
                [
                  14,
                  15
                ],
                [
                  15,
                  16
                ],
                [
                  16,
                  17
                ]
              ],
              "incidence": [
                [
                  -1,
                  -1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  1,
                  0,
                  0,
                  -1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  1,
                  0,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  -1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1
                ]
              ],
              "tree_edge_indices": [
                0,
                1,
                2,
                3,
                4,
                10,
                12,
                5,
                13,
                9,
                19,
                6,
                14,
                8,
                18,
                15,
                17
              ],
              "fundamental_cycles": [
                [
                  4,
                  5,
                  6,
                  7,
                  8,
                  0,
                  1,
                  2,
                  3
                ],
                [
                  9,
                  10,
                  1,
                  0
                ],
                [
                  13,
                  14,
                  15,
                  16,
                  17,
                  9,
                  0,
                  1,
                  10,
                  11,
                  12
                ]
              ],
              "cycle_rows": [
                [
                  1,
                  -1,
                  0,
                  1,
                  0,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  -1,
                  0,
                  1,
                  0,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  1,
                  0,
                  -1,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  -1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              ],
              "bridge_edge_indices": [],
              "cycle_rank": 3,
              "short_cycle_span_rank": 1,
              "scope": [
                "connected_simple_undirected_phase_support_without_self_loops",
                "node_order_and_cycle_basis_are_coordinates_not_physical_selectors",
                "all_support_edges_retained_independently_of_transport_weights",
                "integer_fundamental_cycles_and_exact_rational_short_cycle_rank",
                "32_node_50_edge_evaluation_budget_is_not_a_physical_restriction",
                "no_graph_write_live_phase_admission_or_trajectory_claim"
              ]
            },
            "degrees": [
              3,
              3,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              3,
              3,
              2,
              2,
              2,
              2,
              2,
              2,
              2
            ],
            "dipole": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": -1,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              }
            ],
            "post_event_initial_box": [
              {
                "lo": {
                  "numerator": 185608563775077592171731362063065382721,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943769398042932840515766345681,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775037088469214828495676074059,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887518544234607414247838037031,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057340984416840658568717609,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764335246104210164642179403,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 92804281887530506598979536187574149893,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775061013197959072375148299789,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563774725218670001761437731004981,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471840652333750220179716375623,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775389465512719157683011782569,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943847366378179789420752945643,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775053670984761846744645930645,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471881708873095230843080741331,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343198134327551143445531,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528671599067163775571722767,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671820528322934251189011,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057343641056645868502378025,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775000052042038237716985848485,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471875006505254779714623231061,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775114636567901214564139261609,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943778659141975303641034815403,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672484766375697839799213,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344969532751395679598429,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943764336352943598209406809659,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775057345411774392837627238639,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057345854496250597119923509,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471882168231812031324639990439,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057346297218108366149162167,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 185608563775057346297218108366149162171,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673369969983064162632371,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346739939966128325264745,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 23201070471882168397832727988547099807,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 185608563775057347182661823908376798459,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057347624903398534732911381,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471882168453112924816841613923,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": -182620871465013578739479033265172409159,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -1460966971720108629915832266121379273109,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -274524963762758491984246089594528559657,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -1098099855051033967936984358378114238461,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -608943952602184926339448195001059791997,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -304471976301092463169724097500529895915,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -59894025076667943219505964009311064215,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -119788050153335886439011928018622128263,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 113609611006436942756091027495674017395,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 454438444025747771024364109982696069747,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 193363290753531895222554475563666181857,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 773453163014127580890217902254664727595,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 1347679657193211238353593940255983220585,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 84229978574575702397099621265998951297,
                  "denominator": 21267647932558653966460912964485513216
                }
              },
              {
                "lo": {
                  "numerator": 918417779821030139127015130028493368673,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 1836835559642060278254030260056986737513,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 2325991462090909319851566077340371278063,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1162995731045454659925783038670185639115,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -1415646360153946684570013005901794828929,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -1415646360153946684570013005901794828763,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -571710233308597956715188785565976074949,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -1143420466617195913430377571131952149731,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -910191557293048072442860640213444928867,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -910191557293048072442860640213444928699,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -84620330996112529144055428944039290259,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -676962647968900233152443431552314321903,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -221866869322376196082462958765415790059,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -110933434661188098041231479382707894987,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -210504829320604551177408403509349673119,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -210504829320604551177408403509349672947,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 22724080003543289810109110512132233879,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 22724080003543289810109110512132234051,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 31994123665961391137565771219042028417,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 255952989327691129100526169752336227509,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 244590949325919485044021916607764587059,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 122295474662959742522010958303882293573,
                  "denominator": 85070591730234615865843651857942052864
                }
              }
            ],
            "baseline_readout_bounds": {
              "lo": {
                "numerator": -664246842717396245280777591,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -664246842717396245280777585,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            "step": {
              "time": {
                "numerator": 0,
                "denominator": 1
              },
              "duration": {
                "numerator": 633318697598977,
                "denominator": 18889465931478580854784
              },
              "order": 4,
              "initial_box": [
                {
                  "lo": {
                    "numerator": 185608563775077592171731362063065382721,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943769398042932840515766345681,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775037088469214828495676074059,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887518544234607414247838037031,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057340984416840658568717609,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764335246104210164642179403,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887530506598979536187574149893,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775061013197959072375148299789,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563774725218670001761437731004981,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471840652333750220179716375623,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775389465512719157683011782569,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943847366378179789420752945643,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775053670984761846744645930645,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471881708873095230843080741331,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343198134327551143445531,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528671599067163775571722767,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528671820528322934251189011,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057343641056645868502378025,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775000052042038237716985848485,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471875006505254779714623231061,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775114636567901214564139261609,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943778659141975303641034815403,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528672484766375697839799213,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057344969532751395679598429,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764336352943598209406809659,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775057345411774392837627238639,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057345854496250597119923509,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471882168231812031324639990439,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057346297218108366149162167,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057346297218108366149162171,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673369969983064162632371,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057346739939966128325264745,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 23201070471882168397832727988547099807,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 185608563775057347182661823908376798459,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057347624903398534732911381,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471882168453112924816841613923,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -182620871465013578739479033265172409159,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -1460966971720108629915832266121379273109,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -274524963762758491984246089594528559657,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -1098099855051033967936984358378114238461,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -608943952602184926339448195001059791997,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -304471976301092463169724097500529895915,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -59894025076667943219505964009311064215,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -119788050153335886439011928018622128263,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 113609611006436942756091027495674017395,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 454438444025747771024364109982696069747,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 193363290753531895222554475563666181857,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 773453163014127580890217902254664727595,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1347679657193211238353593940255983220585,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 84229978574575702397099621265998951297,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 918417779821030139127015130028493368673,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1836835559642060278254030260056986737513,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 2325991462090909319851566077340371278063,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1162995731045454659925783038670185639115,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1415646360153946684570013005901794828929,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1415646360153946684570013005901794828763,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -571710233308597956715188785565976074949,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1143420466617195913430377571131952149731,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -910191557293048072442860640213444928867,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -910191557293048072442860640213444928699,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -84620330996112529144055428944039290259,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -676962647968900233152443431552314321903,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -221866869322376196082462958765415790059,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -110933434661188098041231479382707894987,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -210504829320604551177408403509349673119,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -210504829320604551177408403509349672947,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 22724080003543289810109110512132233879,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 22724080003543289810109110512132234051,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 31994123665961391137565771219042028417,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 255952989327691129100526169752336227509,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 244590949325919485044021916607764587059,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 122295474662959742522010958303882293573,
                    "denominator": 85070591730234615865843651857942052864
                  }
                }
              ],
              "tube": [
                {
                  "lo": {
                    "numerator": 92804281887537530331363202610406577331,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775100375752775971444312179693,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 23201070471876788111021296175570836463,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 185608563775039619978219768639024144941,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764335245916452488018752593,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 92804281887528670492250144379590856739,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887530277113445325645651221031,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 92804281887532571968787429965368881875,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943587895019269198237993204703,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 92804281887383367034607823534686693699,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943836987528376318012842350039,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 92804281887881552052822063084384984365,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887524770122573029592602189313,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775054129955830267828919798157,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764335799496794388222146817,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775057343198150677795285458181,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343640966473773588026113,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057343641868192523708289647,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563774935598496447304352075648817,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775007213547103897224089565735,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775107475062835560623274337531,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 2900133808987173283023314028639067543,
                    "denominator": 5316911983139663491615228241121378304
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057344969277636193201852819,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057344971828786018956053337,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 11600535235941084088235899534913891991,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 23201070471882168176471799143706085513,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528672927248125161120996803,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 5800267617970542057953007839749932937,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057346297218108091271231913,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057346297218108641027092081,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764336684984991461434389713,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775057346739939966404059816017,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057347182661823611670421237,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057347182661824186585076229,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1450066904492635528301619443432300747,
                    "denominator": 2658455991569831745807614120560689152
                  },
                  "hi": {
                    "numerator": 46402140943764336906289630521861607605,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -1460966971720108629915832394139005608673,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -730483485860054314957915558080882755109,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -549049927525516983968492754192245585187,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1098099855051033967936984230355291995409,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -608943952602184926339448221241008925951,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -608943952602184926339447961040540841963,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -29947012538333971609753099658749609395,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -59894025076667943219503847335129300817,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 454438444025747771024351639418029872919,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 454438444025747771024365495845328231123,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 193363290753531895222554129098008141513,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 24170411344191486902819699150604091383,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": 673839828596605619176794853453811239923,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1347679657193211238353594410872359220359,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1836835559642060278254030254694760929719,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1836835559642060278254030306117995750431,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 2325991462090909319851565824550111223731,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 581497865522727329962891526418128467059,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -1415646360153946684570015079652665126173,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -353911590038486671142503193810173886275,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -1143420466617195913430377801794783399357,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1143420466617195913430375497365494160319,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -910191557293048072442861354907124954025,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -28443486165407752263839392517459378741,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": -676962647968900233152443431827201387451,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -84620330996112529144055428909679424667,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -443733738644752392164925917805709487091,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -443733738644752392164925917255953672975,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -52626207330151137794352100946056895023,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -105252414660302275588704201617235882987,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 11362040001771644905054555118627163453,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 710127500110727806565909712094066907,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": 63988247331922782275131542369364325669,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 127976494663845564550263085013611646861,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 122295474662959742522010938389546604045,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 489181898651838970088044547932590740007,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              "series": [
                [
                  {
                    "lo": {
                      "numerator": 185608563775077592171731362063065382721,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 46402140943769398042932840515766345681,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 604041571227371869008993175804039,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 37752598201710741813062073487753,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -343747327806231867895365030539361,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -687494655612463735790730061078711,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 28755996155017535653116523495435,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 230047969240140285224932187963485,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -223477853478673869745808723467579,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -55869463369668467436452180866893,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775037088469214828495676074059,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 92804281887518544234607414247838037031,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -302020785611693689172011822671905,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -75505196402923422293002955667975,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 42968415994785190279660891873629,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 171873663979140761118643567494519,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -457053862587249402801496440588805,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -457053862587249402801496440588795,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 186673849665855868209523115072469,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 186673849665855868209523115072475,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057340984416840658568717609,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 46402140943764335246104210164642179403,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -4145075432490106394974341,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -4145075432490106394974337,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -123631703288861605799252613483867,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -7726981455553850362453288342741,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -266081550099832364398420475493771,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -133040775049916182199210237746881,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 133816324206345759809894867316025,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 267632648412691519619789734632057,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887530506598979536187574149893,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775061013197959072375148299789,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 54757370743818923871839121192133,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 109514741487637847743678242384275,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1265623691817725721593455106536117,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -79101480738607857599590944158507,
                      "denominator": 10633823966279326983230456482242756608
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1032975988619171337870235573638769,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 516487994309585668935117786819387,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -534267771490640814844644990872049,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -267133885745320407422322495436023,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563774725218670001761437731004981,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 23201070471840652333750220179716375623,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -9905960043276384685247527743981785,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -619122502704774042827970483998861,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": 7456848717829210413007316625286877,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 932106089728651301625914578160861,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1037574699800794048003421489630449,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -4150298799203176192013685958521787,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 907302998056765815536445796662957,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1814605996113531631072891593325921,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775389465512719157683011782569,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 46402140943847366378179789420752945643,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 9905960043276384685247527269703211,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 2476490010819096171311881817425805,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -7456848717829210434226180114585503,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1864212179457302608556545028646373,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 4150298798781258034338463621959151,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 4150298798781258034338463621959161,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1817752045642210744622301503456709,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1817752045642210744622301503456703,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775053670984761846744645930645,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 23201070471881708873095230843080741331,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -54757370743818966309565858519639,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -109514741487637932619131717039269,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1265623690551971252227460442912009,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 2531247381103942504454920885824029,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -261390046700745670277253944335341,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -2091120373605965362218031554682719,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1098588595801767345755776851205697,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 137323574475220918219472106400713,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057343198134327551143445531,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 92804281887528671599067163775571722767,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1835885189991263183959401,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -57371412187226974498731,
                      "denominator": 10633823966279326983230456482242756608
                    }
                  },
                  {
                    "lo": {
                      "numerator": -6844670480739127274903661912453,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -27378681922956509099614647649801,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 456169182836381128264089101023229,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 456169182836381128264089101023239,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -198308815518082460164185949866749,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -396617631036164920328371899733491,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528671820528322934251189011,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057343641056645868502378025,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 10124043877724598179902761,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 5062021938862299089951385,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 151010387285849950216265356981513,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 37752596821462487554066339245381,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -84741174918554381683520360482785,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -21185293729638595420880090120695,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 156903725604965532081133040371011,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 156903725604965532081133040371017,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775000052042038237716985848485,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 23201070471875006505254779714623231061,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1708801658893305868031113212693523,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -854400829446652934015556606346757,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 619937348179273886396474736350589,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 619937348179273886396474736350595,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -674910373808929652636709502271413,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -674910373808929652636709502271403,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 292398587156370705169838465003667,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 146199293578185352584919232501837,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775114636567901214564139261609,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 46402140943778659141975303641034815403,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 427200414722994427938882595333305,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 854400829445988855877765190666615,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1239874696357773046305447049084491,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1239874696357773046305447049084479,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 674910373842620109481186661518789,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 674910373842620109481186661518799,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -146072540430953672388718955532077,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -292145080861907344777437911064147,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528672484766375697839799213,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057344969532751395679598429,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 14323010050324818818806489,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 28646020100649637637612987,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 427200400399987120186525186350937,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 106800100099996780046631296587737,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -174522944418828346434607800025765,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -5453842013088385826081493750805,
                      "denominator": 5316911983139663491615228241121378304
                    }
                  },
                  {
                    "lo": {
                      "numerator": 180525262785192081188238173568001,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 22565657848149010148529771696001,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 46402140943764336352943598209406809659,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 185608563775057345411774392837627238639,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 111127724142212467,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 444510896568849877,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 3580752133068637019570775,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 7161504266137274039141561,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 17800014752392559647953570369213,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 35600029504785119295907140738431,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -7678843262942350788464167200705,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -61430746103538806307713337605633,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057345854496250597119923509,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 23201070471882168231812031324639990439,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1192069197,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 4768276797,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 27781929100570213,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 111127716402280863,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1193583909335250187856415,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 1193583909335250187856425,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 8900006410726221503619678070985,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 8900006410726221503619678070991,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057346297218108366149162167,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 185608563775057346297218108366149162171,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -3426568047,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -856642009,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -51100683808451779,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -51100683808451767,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 25549644778835267,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 3193705597354409,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -10406052374448650193,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -5203026187224325093,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528673369969983064162632371,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057346739939966128325264745,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -204402746855218433,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -204402746855218423,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 93266676306828603,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 93266676306828615,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1193667055561906304764745,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1193667055561906304764735,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -4450003205335406691537552625589,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -8900006410670813383075105251171,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 23201070471882168397832727988547099807,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 185608563775057347182661823908376798459,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -4467350381958315,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -17869401527833255,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -7162002632544449606574771,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -7162002632544449606574759,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1112500922020208878845709906915,
                      "denominator": 5316911983139663491615228241121378304
                    },
                    "hi": {
                      "numerator": -71200059009293368246125434042549,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 15357686525859318603159941483347,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 61430746103437274412639765933395,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057347624903398534732911381,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 23201070471882168453112924816841613923,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -14324006272240366971498855,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -28648012544480733942997701,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -213600200199661417598311873825271,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -427200400399322835196623747650531,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 349045888837481324565780509380587,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 349045888837481324565780509380597,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -90262631390451161767567489491201,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -180525262780902323535134978982395,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -182620871465013578739479033265172409159,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -1460966971720108629915832266121379273109,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 14343377741874421554913,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 14343377741874421554915,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 213916271339165954233715533889,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 106958135669582977116857766945,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -71580202839483491313652860253,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -17895050709870872828413215063,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 69535888902903889415317862713,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 69535888902903889415317862715,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -274524963762758491984246089594528559657,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -1098099855051033967936984358378114238461,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -7172308767282635041541,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -1793077191820658760385,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -213916271433787476773120156779,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -213916271433787476773120156777,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 142213853534555741028419265465,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 142213853534555741028419265467,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -14521049835156606875847932271,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -58084199340626427503391729083,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -608943952602184926339448195001059791997,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -304471976301092463169724097500529895915,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 2579508276743709397501,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 2579508276743709397503,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 38468419748373241638298007265,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 38468419748373241638298007267,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 82792169127742183944734681237,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 82792169127742183944734681239,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -41637399292013279877016401285,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -83274798584026559754032802569,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -59894025076667943219505964009311064215,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -119788050153335886439011928018622128263,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 26406554215518502353573,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 13203277107759251176787,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 196901531424247044582319053471,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 393803062848494089164638106943,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -642827892869894524709850664447,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -642827892869894524709850664445,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 332478421774535514372404487835,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 83119605443633878593101121959,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 113609611006436942756091027495674017395,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 454438444025747771024364109982696069747,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -77791557888208226170543,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -155583115776416452341083,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1160111762786880453849695863661,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -290027940696720113462423965915,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 322844862600761753827767237009,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 645689725201523507655534474019,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -564620766594681299630256666499,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -564620766594681299630256666497,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 193363290753531895222554475563666181857,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 773453163014127580890217902254664727595,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 155583115776416452488657,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 155583115776416452488659,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1160111762786880457150856150115,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 290027940696720114287714037529,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1291379450271765764837485661473,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1291379450271765764837485661471,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 565599670461849650943202097683,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 141399917615462412735800524421,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 1347679657193211238353593940255983220585,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 84229978574575702397099621265998951297,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -13203277101156930482031,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -26406554202313860964061,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -787606124909300658750209865547,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -787606124909300658750209865545,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 650659124039287742785049084315,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 650659124039287742785049084317,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -341829530202373898264139850167,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -341829530202373898264139850165,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 918417779821030139127015130028493368673,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1836835559642060278254030260056986737513,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 285620927195559080143,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 17851307949722442509,
                      "denominator": 10633823966279326983230456482242756608
                    }
                  },
                  {
                    "lo": {
                      "numerator": 4259484421680501275549618859,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 8518968843361002551099237719,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -141938575305516484744475392645,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -141938575305516484744475392643,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 123408909695055558785862200151,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 15426113711881944848232775019,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 2325991462090909319851566077340371278063,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 1162995731045454659925783038670185639115,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -3150130258018169191027,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -3150130258018169191025,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -23493694618538112288294397229,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -46987389237076224576588794457,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 26367501554723385874307378299,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 6591875388680846468576844575,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -48821121878556537759809104107,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -24410560939278268879904552053,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -1415646360153946684570013005901794828929,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1415646360153946684570013005901794828763,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -25869314989835726231911,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -25869314989835726231909,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -192895588211167967883182448089,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -24111948526395995985397806011,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": 210000646283122057876647515021,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 210000646283122057876647515023,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -90980809714589871069166265619,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -90980809714589871069166265617,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -571710233308597956715188785565976074949,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -1143420466617195913430377571131952149731,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 12934864126499454809057,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 6467432063249727404529,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 192895588211047438496835667087,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 385791176422094876993671334175,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -26250080786700619711706116893,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -105000323146802478846824467571,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 45450965185994456066195612541,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 22725482592997228033097806271,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -910191557293048072442860640213444928867,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -910191557293048072442860640213444928699,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2228326359462305914507,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -4456652718924611829013,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -4153901235000881765758892845,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": -66462419760014108252142285519,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 108606808872304749916629051161,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 108606808872304749916629051163,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -28085523048594123135585871031,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -56171046097188246271171742061,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -84620330996112529144055428944039290259,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -676962647968900233152443431552314321903,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -37355230054097,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -2334701878381,
                      "denominator": 10633823966279326983230456482242756608
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2228326274406632864803,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1114163137203316432401,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -5538534794307368961959702613,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -11077069588614737923919405225,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 4778596106064759250308561969,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 19114384424259037001234247877,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -221866869322376196082462958765415790059,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -110933434661188098041231479382707894987,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -741833,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -92729,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -34577763628543,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -34577763628541,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -371387670388877919733,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -371387670388877919731,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2769267096744425930699537419,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1384633548372212965349768709,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -210504829320604551177408403509349673119,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -210504829320604551177408403509349672947,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1066187,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 533095,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 15900149410539,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 3975037352635,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -3974929194111,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -7949858388221,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 3237878392180667,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 809469598045167,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 22724080003543289810109110512132233879,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 22724080003543289810109110512132234051,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2781001,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -2780999,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -29020238208841,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -29020238208839,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 371413541618523298225,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 371413541618523298227,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 692316774181796376646994245,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 2769267096727185506587976981,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 31994123665961391137565771219042028417,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 255952989327691129100526169752336227509,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 9340107281817,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 37360429127269,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 557120335699954559843,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 1114240671399909119687,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 22154139177143326703332983401,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 22154139177143326703332983403,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -19114384424227445008675846603,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -9557192212113722504337923301,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 244590949325919485044021916607764587059,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 122295474662959742522010958303882293573,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 4456962666302192564871,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 557120333287774070609,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": 132924839519821521982903528871,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 132924839519821521982903528873,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -54303404436125091737937882527,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -27151702218062545868968941263,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 7021380761981684208546964823,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 56171046095853473668375718585,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ]
              ],
              "local_remainder_bounds": [
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                }
              ],
              "increment": [
                {
                  "lo": {
                    "numerator": 10126035536817962723179885,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 5063017768408981361589943,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -20252071073502334530103807,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -20252071073502334530103805,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -208461737724271049,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -26057717215533881,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 1835882495322499544599699,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 458970623830624886149925,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -166061591616635441578467059,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -83030795808317720789233529,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 332123183233270883156934057,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 332123183233270883156934059,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -3671764990645005729098957,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -3671764990645005729098955,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -23082307246731255,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -46164614493462509,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 254592957298166507,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 63648239324541627,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -57292038783093677960078701,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -57292038783093677960078699,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 57292038783049148051755141,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 57292038783049148051755143,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1440648970940788101,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1440648970940788103,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 25637059351,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 25637059353,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 85,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 171,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -87,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -171,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -428321005,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": -3426568039,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -11932467139,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -11932467137,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -360178943206277325,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -720357886412554649,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 721362662550313,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 721362662550315,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -11271941093461,
                    "denominator": 5316911983139663491615228241121378304
                  },
                  "hi": {
                    "numerator": -360702114990751,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 16215892429483,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 64863569717933,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 1328023052886921,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 664011526443461,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -7824495547710777,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -7824495547710775,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 7824495547710775,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 7824495547710777,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -2656046103707817,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -2656046103707815,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 28728550092619,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 28728550092621,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -158434907629781,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -158434907629779,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1301004540366645,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1301004540366643,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 325254599023411,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 650509198046823,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -448262768477397,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -448262768477395,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -5844683,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -5844681,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 1461301,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 2922603,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 112070888017105,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 224141776034211,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              "endpoint": [
                {
                  "lo": {
                    "numerator": 185608563775097844242804997988511742491,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 5800267617971807632587656187140991953,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943754209099535331540286492563,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775016836398141326161145970257,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057340983999917183120175511,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764335245999979295780043879,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 11600535235941542810184357335889843699,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 185608563775064684962949717374237499189,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563774393095486768490554574070863,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943598273871692122638643517717,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887860794347976214283084358313,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775721588695952428566168716631,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 23201070471881249902471400217364603961,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 185608563775049999219771201738916831693,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343198041998322156520511,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764335799510499580539130129,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764335910391457945774677759,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775057343641565831783098711041,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 23201070471867845000406893004878221223,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 185608563774942760003255144039025769789,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887585964303342131856095508375,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775171928606684263712191016755,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057344970973400366620386527,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764336242743350091655096633,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057345411774392863264297987,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471882168176471799107908037249,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057345854496250597119923849,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528672927248125298559961927,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057346297218108366149161993,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 11600535235941084143576131772884322625,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673369969983060736064331,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057346739939966121472128667,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057347182661823896444331317,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528673591330911948222165661,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057347623462682761907802081,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528673811731341380953901043,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1460966971720108629915831544758716722959,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -730483485860054314957915772379358361397,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -274524963762758491984246269945586055033,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -1098099855051033967936985079782344219963,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -608943952602184926339448065273920356133,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -152235988150546231584862016318480088991,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -29947012538333971609752317993129088647,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -119788050153335886439009271972516354419,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 454438444025747771024356285487148358803,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 113609611006436942756089071371787089743,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 773453163014127580890225726750212438203,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 193363290753531895222556431687553109593,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 21057494643643925599274863815779367387,
                    "denominator": 5316911983139663491615228241121378304
                  },
                  "hi": {
                    "numerator": 1347679657193211238353591284209879512937,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1836835559642060278254030288785536829965,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 918417779821030139127015144392768415067,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 1162995731045454659925782959452731824141,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 2325991462090909319851565918905463648451,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -707823180076973342285007153453167597787,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -707823180076973342285007153453167597703,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -571710233308597956715188135056778028127,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1143420466617195913430376270113556056085,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -113773944661631009055357636059526675783,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -455095778646524036221430544238106703047,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -676962647968900233152443431552320166755,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -84620330996112529144055428944040020823,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -443733738644752392164925917530831580119,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -443733738644752392164925917530831579947,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -6578275916268892224294012609667177285,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": -210504829320604551177408403509349672945,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 22724080003543289810109110512132233877,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 22724080003543289810109110512132234051,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 63988247331922782275131542438085518135,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 255952989327691129100526169752342072715,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 244590949325919485044022140749540621269,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 244590949325919485044022140749540621357,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              "picard_interior_margin": {
                "numerator": 64254146499,
                "denominator": 85070591730234615865843651857942052864
              },
              "domain_lower_bounds": [
                {
                  "numerator": 1,
                  "denominator": 1
                }
              ],
              "method": "direct_source_box_Picard_Taylor_dyadic128_v1"
            },
            "true_increment_bounds": {
              "lo": {
                "numerator": -664246366466541766313868177,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -664246366466541766313868173,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            "endpoint_readout_bounds": {
              "lo": {
                "numerator": -166061651147992251449330721,
                "denominator": 42535295865117307932921825928971026432
              },
              "hi": {
                "numerator": -664246604591969005797322879,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            "failed_tube": null,
            "status": "admitted",
            "unavailable_reasons": [],
            "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
            "law": "normalized_sine_reciprocal_exchange",
            "clock": "tau=e*t",
            "capacity": [
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              }
            ],
            "state_order": [
              "x_0",
              "x_1",
              "x_2",
              "x_3",
              "x_4",
              "x_5",
              "x_6",
              "x_7",
              "x_8",
              "x_9",
              "x_10",
              "x_11",
              "x_12",
              "x_13",
              "x_14",
              "x_15",
              "x_16",
              "x_17",
              "theta_0",
              "theta_1",
              "theta_2",
              "theta_3",
              "theta_4",
              "theta_5",
              "theta_6",
              "theta_7",
              "theta_8",
              "theta_9",
              "theta_10",
              "theta_11",
              "theta_12",
              "theta_13",
              "theta_14",
              "theta_15",
              "theta_16",
              "theta_17"
            ],
            "scope": [
              "fixed_two_port_C9_support_and_full_thirty_six_coordinate_source_box",
              "complete_shared_sine_rates_with_both_rows_transformed_to_fast_clock",
              "supplied_phase_dipole_then_unforced_continuous_flow",
              "zero_phase_increment_means_no_event_and_preserves_all_source_coordinates",
              "one_fixed_Picard_Taylor_step_without_retry_or_adaptive_budget",
              "direct_source_box_coefficients_and_whole_tube_derivative_remainder",
              "readout_increment_cancels_the_same_initial_form_coordinate_symbolically",
              "independent_of_inverse_error_bound_target_root_or_forward_verdict",
              "global_smooth_domain_is_not_acute_chart_or_identity_retention",
              "primitive_source_enclosure_is_not_acquisition_or_calibration_evidence",
              "no_sensor_gain_noise_realization_or_physical_measurement"
            ]
          }
        },
        {
          "schema": "tnfr.sine-two-port-readout.v1",
          "report": {
            "initial_form_bounds": [
              {
                "lo": {
                  "numerator": 185608563775097844242804997988511742491,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 5800267617971807632587656187140991953,
                  "denominator": 10633823966279326983230456482242756608
                }
              },
              {
                "lo": {
                  "numerator": 46402140943754209099535331540286492563,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775016836398141326161145970257,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057340983999917183120175511,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764335245999979295780043879,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 11600535235941542810184357335889843699,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": 185608563775064684962949717374237499189,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563774393095486768490554574070863,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943598273871692122638643517717,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 92804281887860794347976214283084358313,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775721588695952428566168716631,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 23201070471881249902471400217364603961,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 185608563775049999219771201738916831693,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343198041998322156520511,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764335799510499580539130129,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 46402140943764335910391457945774677759,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775057343641565831783098711041,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 23201070471867845000406893004878221223,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 185608563774942760003255144039025769789,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887585964303342131856095508375,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775171928606684263712191016755,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057344970973400366620386527,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764336242743350091655096633,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057345411774392863264297987,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471882168176471799107908037249,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057345854496250597119923849,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528672927248125298559961927,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057346297218108366149161993,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 11600535235941084143576131772884322625,
                  "denominator": 21267647932558653966460912964485513216
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673369969983060736064331,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346739939966121472128667,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057347182661823896444331317,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528673591330911948222165661,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057347623462682761907802081,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528673811731341380953901043,
                  "denominator": 170141183460469231731687303715884105728
                }
              }
            ],
            "initial_phase_bounds": [
              {
                "lo": {
                  "numerator": -1460966971720108629915831544758716722959,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -730483485860054314957915772379358361397,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -274524963762758491984246269945586055033,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -1098099855051033967936985079782344219963,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -608943952602184926339448065273920356133,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -152235988150546231584862016318480088991,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -29947012538333971609752317993129088647,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -119788050153335886439009271972516354419,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 454438444025747771024356285487148358803,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 113609611006436942756089071371787089743,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 773453163014127580890225726750212438203,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 193363290753531895222556431687553109593,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 21057494643643925599274863815779367387,
                  "denominator": 5316911983139663491615228241121378304
                },
                "hi": {
                  "numerator": 1347679657193211238353591284209879512937,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 1836835559642060278254030288785536829965,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 918417779821030139127015144392768415067,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 1162995731045454659925782959452731824141,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 2325991462090909319851565918905463648451,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -707823180076973342285007153453167597787,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -707823180076973342285007153453167597703,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -571710233308597956715188135056778028127,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -1143420466617195913430376270113556056085,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -113773944661631009055357636059526675783,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -455095778646524036221430544238106703047,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -676962647968900233152443431552320166755,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -84620330996112529144055428944040020823,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": -443733738644752392164925917530831580119,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -443733738644752392164925917530831579947,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -6578275916268892224294012609667177285,
                  "denominator": 10633823966279326983230456482242756608
                },
                "hi": {
                  "numerator": -210504829320604551177408403509349672945,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 22724080003543289810109110512132233877,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 22724080003543289810109110512132234051,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 63988247331922782275131542438085518135,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 255952989327691129100526169752342072715,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 244590949325919485044022140749540621269,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 244590949325919485044022140749540621357,
                  "denominator": 170141183460469231731687303715884105728
                }
              }
            ],
            "phase_increment": {
              "numerator": 1,
              "denominator": 2
            },
            "probe_duration": {
              "numerator": 158329674399745,
              "denominator": 2361183241434822606848
            },
            "order": 4,
            "reference_model": {
              "storage_scale": 1.0,
              "epi_weight": 0.9990234375,
              "phase_weight": 0.0009765625,
              "phase_domain": "regular"
            },
            "geometry": {
              "nodes": [
                0,
                1,
                2,
                3,
                4,
                5,
                6,
                7,
                8,
                9,
                10,
                11,
                12,
                13,
                14,
                15,
                16,
                17
              ],
              "edges": [
                [
                  0,
                  1
                ],
                [
                  0,
                  8
                ],
                [
                  0,
                  9
                ],
                [
                  1,
                  2
                ],
                [
                  1,
                  10
                ],
                [
                  2,
                  3
                ],
                [
                  3,
                  4
                ],
                [
                  4,
                  5
                ],
                [
                  5,
                  6
                ],
                [
                  6,
                  7
                ],
                [
                  7,
                  8
                ],
                [
                  9,
                  10
                ],
                [
                  9,
                  17
                ],
                [
                  10,
                  11
                ],
                [
                  11,
                  12
                ],
                [
                  12,
                  13
                ],
                [
                  13,
                  14
                ],
                [
                  14,
                  15
                ],
                [
                  15,
                  16
                ],
                [
                  16,
                  17
                ]
              ],
              "incidence": [
                [
                  -1,
                  -1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  1,
                  0,
                  0,
                  -1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  1,
                  0,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  -1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1
                ]
              ],
              "tree_edge_indices": [
                0,
                1,
                2,
                3,
                4,
                10,
                12,
                5,
                13,
                9,
                19,
                6,
                14,
                8,
                18,
                15,
                17
              ],
              "fundamental_cycles": [
                [
                  4,
                  5,
                  6,
                  7,
                  8,
                  0,
                  1,
                  2,
                  3
                ],
                [
                  9,
                  10,
                  1,
                  0
                ],
                [
                  13,
                  14,
                  15,
                  16,
                  17,
                  9,
                  0,
                  1,
                  10,
                  11,
                  12
                ]
              ],
              "cycle_rows": [
                [
                  1,
                  -1,
                  0,
                  1,
                  0,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  -1,
                  0,
                  1,
                  0,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  1,
                  0,
                  -1,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  -1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              ],
              "bridge_edge_indices": [],
              "cycle_rank": 3,
              "short_cycle_span_rank": 1,
              "scope": [
                "connected_simple_undirected_phase_support_without_self_loops",
                "node_order_and_cycle_basis_are_coordinates_not_physical_selectors",
                "all_support_edges_retained_independently_of_transport_weights",
                "integer_fundamental_cycles_and_exact_rational_short_cycle_rank",
                "32_node_50_edge_evaluation_budget_is_not_a_physical_restriction",
                "no_graph_write_live_phase_admission_or_trajectory_claim"
              ]
            },
            "degrees": [
              3,
              3,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              3,
              3,
              2,
              2,
              2,
              2,
              2,
              2,
              2
            ],
            "dipole": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": -1,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              }
            ],
            "post_event_initial_box": [
              {
                "lo": {
                  "numerator": 185608563775097844242804997988511742491,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 5800267617971807632587656187140991953,
                  "denominator": 10633823966279326983230456482242756608
                }
              },
              {
                "lo": {
                  "numerator": 46402140943754209099535331540286492563,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775016836398141326161145970257,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057340983999917183120175511,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764335245999979295780043879,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 11600535235941542810184357335889843699,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": 185608563775064684962949717374237499189,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563774393095486768490554574070863,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943598273871692122638643517717,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 92804281887860794347976214283084358313,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775721588695952428566168716631,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 23201070471881249902471400217364603961,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 185608563775049999219771201738916831693,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343198041998322156520511,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764335799510499580539130129,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 46402140943764335910391457945774677759,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775057343641565831783098711041,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 23201070471867845000406893004878221223,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 185608563774942760003255144039025769789,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887585964303342131856095508375,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775171928606684263712191016755,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057344970973400366620386527,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764336242743350091655096633,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057345411774392863264297987,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471882168176471799107908037249,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057345854496250597119923849,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528672927248125298559961927,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057346297218108366149161993,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 11600535235941084143576131772884322625,
                  "denominator": 21267647932558653966460912964485513216
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673369969983060736064331,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346739939966121472128667,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057347182661823896444331317,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528673591330911948222165661,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057347623462682761907802081,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528673811731341380953901043,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -1460966971720108629915831544758716722959,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -730483485860054314957915772379358361397,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -274524963762758491984246269945586055033,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -1098099855051033967936985079782344219963,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -608943952602184926339448065273920356133,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -152235988150546231584862016318480088991,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -29947012538333971609752317993129088647,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -119788050153335886439009271972516354419,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 624579627486217002756043589203032464531,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 156144906871554250689010897300758116175,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 603311979553658349158538423034328332475,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 150827994888414587289634605758582083161,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 21057494643643925599274863815779367387,
                  "denominator": 5316911983139663491615228241121378304
                },
                "hi": {
                  "numerator": 1347679657193211238353591284209879512937,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 1836835559642060278254030288785536829965,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 918417779821030139127015144392768415067,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 1162995731045454659925782959452731824141,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 2325991462090909319851565918905463648451,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -707823180076973342285007153453167597787,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -707823180076973342285007153453167597703,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -571710233308597956715188135056778028127,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -1143420466617195913430376270113556056085,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -113773944661631009055357636059526675783,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -455095778646524036221430544238106703047,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -676962647968900233152443431552320166755,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -84620330996112529144055428944040020823,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": -443733738644752392164925917530831580119,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -443733738644752392164925917530831579947,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -6578275916268892224294012609667177285,
                  "denominator": 10633823966279326983230456482242756608
                },
                "hi": {
                  "numerator": -210504829320604551177408403509349672945,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 22724080003543289810109110512132233877,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 22724080003543289810109110512132234051,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 63988247331922782275131542438085518135,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 255952989327691129100526169752342072715,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 244590949325919485044022140749540621269,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 244590949325919485044022140749540621357,
                  "denominator": 170141183460469231731687303715884105728
                }
              }
            ],
            "baseline_readout_bounds": {
              "lo": {
                "numerator": -166061651147992251449330721,
                "denominator": 42535295865117307932921825928971026432
              },
              "hi": {
                "numerator": -664246604591969005797322879,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            "step": {
              "time": {
                "numerator": 0,
                "denominator": 1
              },
              "duration": {
                "numerator": 158329674399745,
                "denominator": 2361183241434822606848
              },
              "order": 4,
              "initial_box": [
                {
                  "lo": {
                    "numerator": 185608563775097844242804997988511742491,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 5800267617971807632587656187140991953,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943754209099535331540286492563,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775016836398141326161145970257,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057340983999917183120175511,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764335245999979295780043879,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 11600535235941542810184357335889843699,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 185608563775064684962949717374237499189,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563774393095486768490554574070863,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943598273871692122638643517717,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887860794347976214283084358313,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775721588695952428566168716631,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 23201070471881249902471400217364603961,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 185608563775049999219771201738916831693,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343198041998322156520511,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764335799510499580539130129,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764335910391457945774677759,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775057343641565831783098711041,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 23201070471867845000406893004878221223,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 185608563774942760003255144039025769789,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887585964303342131856095508375,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775171928606684263712191016755,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057344970973400366620386527,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764336242743350091655096633,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057345411774392863264297987,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471882168176471799107908037249,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057345854496250597119923849,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528672927248125298559961927,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057346297218108366149161993,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 11600535235941084143576131772884322625,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673369969983060736064331,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057346739939966121472128667,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057347182661823896444331317,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528673591330911948222165661,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057347623462682761907802081,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528673811731341380953901043,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1460966971720108629915831544758716722959,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -730483485860054314957915772379358361397,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -274524963762758491984246269945586055033,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -1098099855051033967936985079782344219963,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -608943952602184926339448065273920356133,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -152235988150546231584862016318480088991,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -29947012538333971609752317993129088647,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -119788050153335886439009271972516354419,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 624579627486217002756043589203032464531,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 156144906871554250689010897300758116175,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 603311979553658349158538423034328332475,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 150827994888414587289634605758582083161,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 21057494643643925599274863815779367387,
                    "denominator": 5316911983139663491615228241121378304
                  },
                  "hi": {
                    "numerator": 1347679657193211238353591284209879512937,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1836835559642060278254030288785536829965,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 918417779821030139127015144392768415067,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 1162995731045454659925782959452731824141,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 2325991462090909319851565918905463648451,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -707823180076973342285007153453167597787,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -707823180076973342285007153453167597703,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -571710233308597956715188135056778028127,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1143420466617195913430376270113556056085,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -113773944661631009055357636059526675783,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -455095778646524036221430544238106703047,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -676962647968900233152443431552320166755,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -84620330996112529144055428944040020823,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -443733738644752392164925917530831580119,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -443733738644752392164925917530831579947,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -6578275916268892224294012609667177285,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": -210504829320604551177408403509349672945,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 22724080003543289810109110512132233877,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 22724080003543289810109110512132234051,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 63988247331922782275131542438085518135,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 255952989327691129100526169752342072715,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 244590949325919485044022140749540621269,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 244590949325919485044022140749540621357,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              "tube": [
                {
                  "lo": {
                    "numerator": 185608563775092781225133190363993776423,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471892926425231408051268772693,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563774971269239095360327317403183,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887510949707906550193509197497,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528670477204937061085204479,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057340989139444029724824059,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563774364440162484414089226639037,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887571244970389597880676200467,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140942721421297095561812251421599,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563774782807742144740055084253093,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943832969110144044766414633635,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 92804281889614499497169335935868549923,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563774972194241941723359760537483,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775750244020236504952300223977,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528671595963201943821176633,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 2900133808985270987883345119095251695,
                    "denominator": 5316911983139663491615228241121378304
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343641205127552635042513,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764335911203041914562118047,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563774813852917561144401415356093,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563774957083012776699798651733039,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 23201070471894700699645339885630311517,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 5800267617978151115386817598672015085,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057344969952940423634763769,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528672490078768827233867897,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057345411774392560509779305,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528672705887196694515855283,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764336463624062580560492813,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 46402140943764336463624062717999470357,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057346297218108091271207905,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528673148609054320513557355,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 5800267617970542085623123932224206929,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": 46402140943764336684984991599515831125,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057347182661823401505321161,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057347182661824195773471957,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673807139197584908686235,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 23201070471882168453060394925670609777,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -1460966971720108629915832056011490642437,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -365241742930027157478956736420693675803,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -68631240940689622996061854934488319599,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": -549049927525516983968492284259589212805,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -608943952602184926339449664729755089935,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -152235988150546231584859714489459864685,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -119788050153335886439027976408647765665,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -59894025076667943219478432142261087195,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 312289813743108501377947855344499786045,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 312289813743108501378030010196686018359,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 603311979553658349158521991843988760457,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 603311979553658349158686301548361225085,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 336919914298302809588384719130476638613,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 1347679657193211238353609988646018036385,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1836835559642060278254022045408174476035,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1836835559642060278254032191948080083163,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 2325991462090909319851564908522359543585,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 18171808297585229061340359620426475865,
                    "denominator": 2658455991569831745807614120560689152
                  }
                },
                {
                  "lo": {
                    "numerator": -1415646360153946684570022601084854197469,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1415646360153946684570013385086608277893,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -142927558327149489178797148992093363125,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -142927558327149489178795996987982709137,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -227547889323262018110715986606544138867,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -227547889323262018110715192670470395831,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -676962647968900233152443431827271340987,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -676962647968900233152443431277434118811,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -443733738644752392164925917805709487101,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -221866869322376196082462958627976836483,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -210504829320604551177408403784227580101,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -52626207330151137794352100808617941491,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 22724080003543289810109110237254326895,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 2840510000442911226263638848376267629,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 63988247331922782275131542369364006099,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 255952989327691129100526170027293250281,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 489181898651838970088043963699553521895,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 489181898651838970088047139495807472769,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              "series": [
                [
                  {
                    "lo": {
                      "numerator": 185608563775097844242804997988511742491,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 5800267617971807632587656187140991953,
                      "denominator": 10633823966279326983230456482242756608
                    }
                  },
                  {
                    "lo": {
                      "numerator": 151010381281816086559019021063477,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 302020762563632173118038042126961,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -687494609334709971537834949392245,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -687494609334709971537834949392229,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 460095908509565888006806616675267,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 28755994281847868000425413542205,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -13287966162595486759938909183815,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": -26575932325190973519877818367629,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 46402140943754209099535331540286492563,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 185608563775016836398141326161145970257,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -302020762561639912460432237127231,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -37752595320204989057554029640903,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": 343747304972394829451781597529985,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 343747304972394829451781597529993,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -717942949853170485488574532493749,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -89742868731646310686071816561717,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 255297191733524456355169840560733,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 255297191733524456355169840560741,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057340983999917183120175511,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 46402140943764335245999979295780043879,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -8290151744742685212468787,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -16580303489485370424937561,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -154477110685722567709674956028585,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": -2471633770971561083354799296457345,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -112634298405496641808198564017049,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -225268596810993283616397128034085,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 884144146443919184802390136209473,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 884144146443919184802390136209481,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 11600535235941542810184357335889843699,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 185608563775064684962949717374237499189,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1160311698990446780296474514548003,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -9282493591923574242371796116384011,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -6982373750145178948093886107048569,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -3491186875072589474046943053524277,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 7340559018793428598524958827676049,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 3670279509396714299262479413838031,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1010788603667591558243035079374383,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -4043154414670366232972140317497525,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563774393095486768490554574070863,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 46402140943598273871692122638643517717,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -46494482167847631637031325339142843,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -46494482167847631637031325339142829,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 16275119113952429865933161339620581,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 32550238227904859731866322679241177,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -4359711848206179464246600960116751,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -1089927962051544866061650240029187,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": 7457137401721736684138323212680407,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 3728568700860868342069161606340207,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887860794347976214283084358313,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775721588695952428566168716631,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 46494482167847631637031321544914309,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 23247241083923815818515660772457161,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -32550238227904859816741775427221241,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -16275119113952429908370887713610613,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 17438847391980881578537461999084169,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 17438847391980881578537461999084181,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -233133857838580167381820173566103,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": -932535431354320669527280694264411,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 23201070471881249902471400217364603961,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 185608563775049999219771201738916831693,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 9282493591923573902870000340195207,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 2320623397980893475717500085048805,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 436398359067635092251364772061833,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 6982373745082161476021836352989343,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -3682863705565311501676087416022585,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -3682863705565311501676087416022579,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1018301866102229706387534625182995,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 4073207464408918825550138500731987,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057343198041998322156520511,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 46402140943764335799510499580539130129,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1835883669195819572441313,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -3671767338391639144882613,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1160311702439647839480883822772915,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 2320623404879295678961767645545845,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 12979881632790893704456462003605,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": 415356212249308598542606784115373,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -996823549170366158426454805938873,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -996823549170366158426454805938865,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 46402140943764335910391457945774677759,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 185608563775057343641565831783098711041,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 20250078859192053874246223,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 5062519714798013468561559,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 75505185119417630517340497011519,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 151010370238835261034680994023053,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 110925669828285724177012552017305,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 221851339656571448354025104034623,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 53968679486296564087091358471249,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 53968679486296564087091358471257,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 23201070471867845000406893004878221223,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 185608563774942760003255144039025769789,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -854400787876615473140232656869063,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -1708801575753230946280465313738113,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 154984328559268614012447701725463,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 1239874628474148912099581613803719,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -674910334595224511067809214022155,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -674910334595224511067809214022143,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 292398569572883679208996576299031,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 292398569572883679208996576299039,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887585964303342131856095508375,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775171928606684263712191016755,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1708801575751902790056832093430593,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 1708801575751902790056832093430607,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1239874628473374180513598573366179,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1239874628473374180513598573366163,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 337455167331456391684238347816287,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 674910334662912783368476695632587,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -156942910483792328800327502689201,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -156942910483792328800327502689197,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057344970973400366620386527,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 46402140943764336242743350091655096633,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 28646019025762759109286241,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 57292038051525518218572495,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 213600182645981112912339670220385,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 427200365291962225824679340440785,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -10907683269604160414577216860661,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": -87261466156833283316617734885285,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 180525250805335586128419625791629,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 180525250805335586128419625791637,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057345411774392863264297987,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 23201070471882168176471799107908037249,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1164835302412367839,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 291208825603091963,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 14323007856924418298563189,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 3580751964231104574640801,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 71200050771065540109123069543095,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 17800012692766385027280767385777,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -61430740868424606330797566043733,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -61430740868424606330797566043725,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057345854496250597119923849,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 92804281887528672927248125298559961927,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 8793402665,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 549587667,
                      "denominator": 10633823966279326983230456482242756608
                    }
                  },
                  {
                    "lo": {
                      "numerator": 72802199274950165,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 72802199274950169,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 2387167691644481659561347,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 149197980727780103722585,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": 2225001270629322041959337703593,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 2225001270629322041959337703595,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057346297218108366149161993,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 11600535235941084143576131772884322625,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -6853135747,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -6853135731,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1596896208400325,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": -51100678668810383,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 25548946998690901,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 6387236749672727,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -10406051096707703899,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -10406051096707703891,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528673369969983060736064331,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057346739939966121472128667,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -204402745968315307,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -204402745968315293,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -86822767473768427,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -86822767473768411,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2387250837863706968710631,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1193625418931853484355309,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -4450002541230940025600714951039,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -4450002541230940025600714951035,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057347182661823896444331317,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 92804281887528673591330911948222165661,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -756096626970001953,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -189024156742500485,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -14323506223303745461537591,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1790438277912968182692197,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -17800012692697167444262675904259,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -69531299580848310329151077751,
                      "denominator": 332306998946228968225951765070086144
                    }
                  },
                  {
                    "lo": {
                      "numerator": 61430740868323074547590429016347,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 61430740868323074547590429016355,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057347623462682761907802081,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 92804281887528673811731341380953901043,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -57294030495312070744839325,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -3580876905957004421552457,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -213600182645648970426208452459207,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -427200365291297940852416904918399,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1363460408699835022747279774729,
                      "denominator": 1329227995784915872903807060280344576
                    },
                    "hi": {
                      "numerator": 349045864627157765823303622330637,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -180525250796796102078587529324605,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -180525250796796102078587529324597,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -1460966971720108629915831544758716722959,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -730483485860054314957915772379358361397,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 7171895261136803410687,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 28687581044547213642751,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 106958128469843261216566216107,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 213916256939686522433132432215,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -143160396353477883557058446829,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -143160396353477883557058446827,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 16538382302492789433015488417,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 66153529209971157732061953669,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -274524963762758491984246269945586055033,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -1098099855051033967936985079782344219963,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -28688820846774988067113,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -28688820846774988067111,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -213916257129514868790634870665,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -26739532141189358598829358833,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 223390370389626183019727768823,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 223390370389626183019727768825,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -39718291896101617549585396243,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -19859145948050808774792698121,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -608943952602184926339448065273920356133,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -152235988150546231584862016318480088991,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 5159017111887894418507,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 5159017111887894418509,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 769057149878759694501645739041,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 384528574939379847250822869521,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 35046540730365110763304478379,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 8761635182591277690826119595,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -275104424482734086033291170493,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -68776106120683521508322792623,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -29947012538333971609752317993129088647,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -119788050153335886439009271972516354419,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 26406553131613509104659,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 52813106263227018209319,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 2172589045651422475953221661587,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 2172589045651422475953221661589,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1142019741663122859582825861091,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -2284039483326245719165651722179,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 78627564163255199986978639561,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 1258041026612083199791658232977,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 624579627486217002756043589203032464531,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 156144906871554250689010897300758116175,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -311166222842989259864757,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -311166222842989259864755,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -10128115958533390666652532431973,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -10128115958533390666652532431971,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 678269519192742012260769814633,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 2713078076770968049043079258533,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2320313427650113007472588810985,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -2320313427650113007472588810983,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 603311979553658349158538423034328332475,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 150827994888414587289634605758582083161,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 155583111421494630522671,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 9723944463843414407667,
                      "denominator": 10633823966279326983230456482242756608
                    }
                  },
                  {
                    "lo": {
                      "numerator": 2532028989633347673265453291581,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 10128115958533390693061813166325,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2713078076639686810181471078491,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -1356539038319843405090735539245,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 2321292331344111041507135703387,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 2321292331344111041507135703389,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 21057494643643925599274863815779367387,
                      "denominator": 5316911983139663491615228241121378304
                    },
                    "hi": {
                      "numerator": 1347679657193211238353591284209879512937,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -52813106210408455470699,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -26406553105204227735349,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2172589044076047562934149448003,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -2172589044076047562934149448001,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1145935356620778819129946392311,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 143241919577597352391243299039,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -633696067018595337019908813287,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -1267392134037190674039817626573,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 1836835559642060278254030288785536829965,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 918417779821030139127015144392768415067,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 285620687865657806369,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 571241375731315612739,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -361034883618069286971602635907,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -180517441809034643485801317953,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -64619741128050505952365862593,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -1009683455125789155505716603,
                      "denominator": 2658455991569831745807614120560689152
                    }
                  },
                  {
                    "lo": {
                      "numerator": 155082499787122838740444156477,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 310164999574245677480888312955,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 1162995731045454659925782959452731824141,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 2325991462090909319851565918905463648451,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -6300880055128610717727,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -6300880055128610717725,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -46987383932840276085260950289,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -46987383932840276085260950287,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -8628723800641021879112949049,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -34514895202564087516451796195,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -8396268057582234685262104365,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -16792536115164469370524208729,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -707823180076973342285007153453167597787,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -707823180076973342285007153453167597703,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -51738628563300151568441,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -51738628563300151568439,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -385791155299875552126273334493,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -385791155299875552126273334491,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 6562519815051407025363695079,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": 105000317040822512405819121265,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -90980804243428388751382391911,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -90980804243428388751382391909,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -571710233308597956715188135056778028127,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -1143420466617195913430376270113556056085,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 25869520913223585328535,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 3233690114152948166067,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": 385791155299634491767170250895,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 24111947206227155735448140681,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -210000634102706460119168112579,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -210000634102706460119168112577,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 24416658832648752874366976141,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 97666635330595011497467904565,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -113773944661631009055357636059526675783,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -455095778646524036221430544238106703047,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -4456652535797115732331,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -17826610143188462929321,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -132924828596047526505356372513,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -4153900893626485203292386641,
                      "denominator": 10633823966279326983230456482242756608
                    }
                  },
                  {
                    "lo": {
                      "numerator": 3393962541849396530581703367,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": 54303400669590344489307253873,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -7021380296201922370412729017,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -56171042369615378963301832135,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -676962647968900233152443431552320166755,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -84620330996112529144055428944040020823,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -298841835303647,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -298841835303645,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -4456652338675785070399,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -2228326169337892535199,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -22154136613790874232174334681,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -22154136613790874232174334679,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 19114382795335547213249694843,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 4778595698833886803312423711,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -443733738644752392164925917530831580119,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -443733738644752392164925917530831579947,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2736097,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -85503,
                      "denominator": 5316911983139663491615228241121378304
                    }
                  },
                  {
                    "lo": {
                      "numerator": -90610600966817,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -2831581280213,
                      "denominator": 10633823966279326983230456482242756608
                    }
                  },
                  {
                    "lo": {
                      "numerator": -371387650626590241089,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -5802932041040472517,
                      "denominator": 2658455991569831745807614120560689152
                    }
                  },
                  {
                    "lo": {
                      "numerator": -346158335433465498570548741,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -2769266683467723988564389927,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -6578275916268892224294012609667177285,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": -210504829320604551177408403509349672945,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 2132375,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 2132377,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 7950073905661,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 15900147811323,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -3974820635785,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -7949641271569,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1618938997303625,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 3237877994607251,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 22724080003543289810109110512132233877,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 22724080003543289810109110512132234051,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -764241,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -1528481,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 27015201331019,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 6753800332755,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 742801172480513739703,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 742801172480513739705,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1384633341725241782834509875,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 2769266683450483565669019751,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 63988247331922782275131542438085518135,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 255952989327691129100526169752342072715,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 37357828949469,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 149431315797877,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 4456807407060305319731,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 4456807407060305319733,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 22154136613704725091905321905,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 22154136613704725091905321907,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -9557191397651977627749456535,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -19114382795303955255498913069,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 244590949325919485044022140749540621269,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 244590949325919485044022140749540621357,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 17827230037929764453507,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 17827230037929764453509,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 132924828595840831989463765843,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 132924828595840831989463765845,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -54303400669563061402768224495,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -27151700334781530701384112247,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 56171042366958289618526369991,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 7021380295869786202315796249,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  }
                ]
              ],
              "local_remainder_bounds": [
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                }
              ],
              "increment": [
                {
                  "lo": {
                    "numerator": 40504137510392653421928139,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 40504137510392653421928141,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -40504137510125545446744511,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -40504137510125545446744509,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -6112629087546337513,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -764078635943292189,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": -155609932804767429498057129,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -311219865609534858996114257,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -97428057311722075262800045,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": -1558848916987553204204800719,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 779424458493776602102400121,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 1558848916987553204204800243,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 155609932804767416218259155,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 311219865609534832436518311,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 10188247557945634121,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 10188247557945634123,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 2036877188085201419,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 2036877188085201421,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -28646017300930897055045707,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -57292034601861794110091413,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 114584069203634528408760549,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 114584069203634528408760551,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1440648882282462567,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 2881297764564925135,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 163977648993,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 163977648995,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 3387,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 3389,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -691,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -43,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": -856642093,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": -6853136743,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -136571825851,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -136571825849,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -5762729132894012325,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -5762729132894012323,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 2885505922038851,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 2885505922038853,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -2885589033920273,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -2885589033920271,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 3803930144215283,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 3803930144215285,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 8425812621364923,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 2106453155341231,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -33202706537287121,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -2075169158580445,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": 66405413074574241,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 66405413074574243,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -16851625226201633,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -16851625226201631,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -3170107448517097,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -3170107448517095,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -633781178765587,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -633781178765585,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -5204017939858051,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -5204017939858049,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 5204045651310427,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 5204045651310429,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1793050959299481,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1793050959299479,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -5844681,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -23378723,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 23379769,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 11689885,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 896546263240067,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 224136565810017,
                    "denominator": 42535295865117307932921825928971026432
                  }
                }
              ],
              "endpoint": [
                {
                  "lo": {
                    "numerator": 92804281887569174190157695320966835315,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775138348380315390641933670637,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563774976332260631200615699225741,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943744083065157800153924806437,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057340971774659008027500485,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764335242943664752006875123,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943610561307932661914061317667,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563774442245231730647656245270675,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563771275397652793384146164469423,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281885637698826396692073082234715,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281889419643264963767487289158555,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563778839286529927534974578317117,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943918109737747567850947467077,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775672438950990271403789868315,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 23201070471882167901028780735012769329,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 185608563775057343208230245880102154639,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343643602708971183912455,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528671821801354485591956231,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943707043983512855112701396739,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563774828175934051420450805586963,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775286512675887898240599777299,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887643256337943949120299888653,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057344976735995895750236795,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528672488367997947875118401,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764336352943598256810486745,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775057345411774393027241946987,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764336463624062649279981809,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775057345854496250597119927243,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673148609054183074580651,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 5800267617970542071788065886442161291,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673369969983053882927587,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057346739939966107765855181,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673591330911879936252733,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057347182661823759872505473,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764336904424988407253447439,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775057347617699953629013789763,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -365241742930027157478957164813198671027,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -1460966971720108629915828659252794683941,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1098099855051033967936987965371378140405,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -549049927525516983968493982685689070117,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -304471976301092463169722130671888070425,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -608943952602184926339444261343776140679,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -59894025076667943219496210173636812371,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -119788050153335886438992420347273624571,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 624579627486217002755977183789957890289,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 156144906871554250688994295947489472615,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 150827994888414587289651207111850726679,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 603311979553658349158604828447402906887,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1347679657193211238353574432584653311135,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 673839828596605619176787216292326655653,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 459208889910515069563506779669522078217,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 1836835559642060278254027118678088313039,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 2325991462090909319851565285124284882695,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1162995731045454659925782642562142441433,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1415646360153946684570019510924275053625,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1415646360153946684570019510924275053455,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1143420466617195913430371066067904745827,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -142927558327149489178796383258488093207,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -910191557293048072442862881527172705745,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -910191557293048072442862881527172705573,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -676962647968900233152443431552366924203,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -338481323984450116576221715776183462015,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -443733738644752392164925917530831580121,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -443733738644752392164925917530831579947,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -210504829320604551177408403509349673121,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -210504829320604551177408403509349672943,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 5681020000885822452527277628033058469,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 5681020000885822452527277628033058513,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 127976494663845564550263084876194416039,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 255952989327691129100526169752388832255,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 30573868665739935630502879661975482667,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 244590949325919485044023037295803861425,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              "picard_interior_margin": {
                "numerator": 34077876781,
                "denominator": 85070591730234615865843651857942052864
              },
              "domain_lower_bounds": [
                {
                  "numerator": 1,
                  "denominator": 1
                }
              ],
              "method": "direct_source_box_Picard_Taylor_dyadic128_v1"
            },
            "true_increment_bounds": {
              "lo": {
                "numerator": -3117697833975106408409600963,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": -3117697833975106408409600961,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            "endpoint_readout_bounds": {
              "lo": {
                "numerator": -3781944438567075414206923847,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": -59092881852610553346983185,
                "denominator": 2658455991569831745807614120560689152
              }
            },
            "failed_tube": null,
            "status": "admitted",
            "unavailable_reasons": [],
            "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
            "law": "normalized_sine_reciprocal_exchange",
            "clock": "tau=e*t",
            "capacity": [
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              }
            ],
            "state_order": [
              "x_0",
              "x_1",
              "x_2",
              "x_3",
              "x_4",
              "x_5",
              "x_6",
              "x_7",
              "x_8",
              "x_9",
              "x_10",
              "x_11",
              "x_12",
              "x_13",
              "x_14",
              "x_15",
              "x_16",
              "x_17",
              "theta_0",
              "theta_1",
              "theta_2",
              "theta_3",
              "theta_4",
              "theta_5",
              "theta_6",
              "theta_7",
              "theta_8",
              "theta_9",
              "theta_10",
              "theta_11",
              "theta_12",
              "theta_13",
              "theta_14",
              "theta_15",
              "theta_16",
              "theta_17"
            ],
            "scope": [
              "fixed_two_port_C9_support_and_full_thirty_six_coordinate_source_box",
              "complete_shared_sine_rates_with_both_rows_transformed_to_fast_clock",
              "supplied_phase_dipole_then_unforced_continuous_flow",
              "zero_phase_increment_means_no_event_and_preserves_all_source_coordinates",
              "one_fixed_Picard_Taylor_step_without_retry_or_adaptive_budget",
              "direct_source_box_coefficients_and_whole_tube_derivative_remainder",
              "readout_increment_cancels_the_same_initial_form_coordinate_symbolically",
              "independent_of_inverse_error_bound_target_root_or_forward_verdict",
              "global_smooth_domain_is_not_acute_chart_or_identity_retention",
              "primitive_source_enclosure_is_not_acquisition_or_calibration_evidence",
              "no_sensor_gain_noise_realization_or_physical_measurement"
            ]
          }
        }
      ],
      "observed_reading_times": [
        {
          "numerator": 0,
          "denominator": 1
        },
        {
          "numerator": 1,
          "denominator": 33554432
        },
        {
          "numerator": 1,
          "denominator": 16777216
        },
        {
          "numerator": 1,
          "denominator": 8388608
        }
      ],
      "structural_reading_times": [
        {
          "numerator": 0,
          "denominator": 1
        },
        {
          "numerator": 633318697598975,
          "denominator": 18889465931478580854784
        },
        {
          "numerator": 9,
          "denominator": 134217728
        },
        {
          "numerator": 316659348799489,
          "denominator": 2361183241434822606848
        }
      ],
      "structural_segment_starts": [
        {
          "numerator": 0,
          "denominator": 1
        },
        {
          "numerator": 633318697598975,
          "denominator": 18889465931478580854784
        },
        {
          "numerator": 9,
          "denominator": 134217728
        }
      ],
      "actual_phase_jumps": [
        {
          "numerator": 1,
          "denominator": 4
        },
        {
          "numerator": 0,
          "denominator": 1
        },
        {
          "numerator": 1,
          "denominator": 2
        }
      ],
      "stopping_rule": {
        "clock_profile_admitted": true,
        "first_window_mean_identity": true,
        "segment_1_source_association": true,
        "segment_1_phase_only_or_zero_event": true,
        "segment_1_complete_horizon": true,
        "segment_2_source_association": true,
        "segment_2_phase_only_or_zero_event": true,
        "segment_2_complete_horizon": true,
        "segment_2_shared_baseline": true,
        "segment_3_source_association": true,
        "segment_3_phase_only_or_zero_event": true,
        "segment_3_complete_horizon": true,
        "segment_3_shared_baseline": true,
        "passive_half_window_reading": true,
        "held_sensor_admitted": true,
        "numerical_reading_halfwidths": true,
        "public_only_packet": true,
        "primary_bounded_candidate": true,
        "primary_certificates": true,
        "nominal_angle_covered": true,
        "actual_angle_covered": true,
        "actual_angle_resolution": true,
        "effective_gain_covered": true,
        "effective_gain_resolution": true,
        "gain_covered": true,
        "gain_resolution": true,
        "mean_clock_covered": true,
        "mean_clock_resolution": true,
        "false_angle_prior_excluded": true,
        "false_gain_coarse_available": true,
        "false_gain_curvature_excluded": true,
        "false_clock_coarse_available": true,
        "false_clock_curvature_excluded": true,
        "equal_amplitude_rank_abstention": true,
        "window_1_phase_blind_excluded": true,
        "window_2_phase_blind_excluded": true,
        "transfer_bounds_match_public_primitives": true,
        "half_reading_signed_separation": true,
        "final_reading_signed_separation": true,
        "half_full_difference_within_transfer": true,
        "final_full_difference_within_transfer": true,
        "H_full_state_enclosures_intersect": true,
        "H_post_event_full_state_enclosures_intersect": true
      },
      "readings": {
        "raw_readout_bounds": [
          {
            "lo": {
              "numerator": -442721857769029238785,
              "denominator": 340282366920938463463374607431768211456
            },
            "hi": {
              "numerator": -442721857769029238783,
              "denominator": 340282366920938463463374607431768211456
            }
          },
          {
            "lo": {
              "numerator": -664246842717396245280777591,
              "denominator": 340282366920938463463374607431768211456
            },
            "hi": {
              "numerator": -664246842717396245280777585,
              "denominator": 340282366920938463463374607431768211456
            }
          },
          {
            "lo": {
              "numerator": -166061651147992251449330721,
              "denominator": 42535295865117307932921825928971026432
            },
            "hi": {
              "numerator": -664246604591969005797322879,
              "denominator": 170141183460469231731687303715884105728
            }
          },
          {
            "lo": {
              "numerator": -3781944438567075414206923847,
              "denominator": 170141183460469231731687303715884105728
            },
            "hi": {
              "numerator": -59092881852610553346983185,
              "denominator": 2658455991569831745807614120560689152
            }
          }
        ],
        "recorded_reading_bounds": [
          {
            "lo": {
              "numerator": 65438916715565088817666739383684712163,
              "denominator": 170141183460469231731687303715884105728
            },
            "hi": {
              "numerator": 130877833431130177635333478767369424331,
              "denominator": 340282366920938463463374607431768211456
            }
          },
          {
            "lo": {
              "numerator": 65438916715100116337669862587747588471,
              "denominator": 170141183460469231731687303715884105728
            },
            "hi": {
              "numerator": 130877833430200232675339725175495176953,
              "denominator": 340282366920938463463374607431768211456
            }
          },
          {
            "lo": {
              "numerator": 65438916714635143881143283213888927275,
              "denominator": 170141183460469231731687303715884105728
            },
            "hi": {
              "numerator": 65438916714635143881143283213888927283,
              "denominator": 170141183460469231731687303715884105728
            }
          },
          {
            "lo": {
              "numerator": 65438916710270366913578134379554439399,
              "denominator": 170141183460469231731687303715884105728
            },
            "hi": {
              "numerator": 32719458355135183456789067189777219705,
              "denominator": 85070591730234615865843651857942052864
            }
          }
        ],
        "recorded_increment_bounds": [
          {
            "lo": {
              "numerator": -1859889873046912339591569781,
              "denominator": 340282366920938463463374607431768211456
            },
            "hi": {
              "numerator": -58121558532716010612236555,
              "denominator": 10633823966279326983230456482242756608
            }
          },
          {
            "lo": {
              "numerator": -1091194241891287208583621971,
              "denominator": 42535295865117307932921825928971026432
            },
            "hi": {
              "numerator": -4364776967565148834334487865,
              "denominator": 170141183460469231731687303715884105728
            }
          }
        ],
        "recorded_curvature_bounds": {
          "lo": {
            "numerator": 23470297422078462485,
            "denominator": 170141183460469231731687303715884105728
          },
          "hi": {
            "numerator": 46940594844156925013,
            "denominator": 340282366920938463463374607431768211456
          }
        }
      },
      "public_packet": {
        "schema": "tnfr.sine-clock-drift-public-inference.v1",
        "inputs": {
          "bulk_angle_bounds": [
            {
              "numerator": 11,
              "denominator": 8
            },
            {
              "numerator": 3,
              "denominator": 2
            }
          ],
          "receiver_short_angle_bounds": [
            {
              "numerator": 2,
              "denominator": 3
            },
            {
              "numerator": 1,
              "denominator": 1
            }
          ],
          "form_radius": {
            "numerator": 1,
            "denominator": 281474976710656
          },
          "phase_radius": {
            "numerator": 1,
            "denominator": 281474976710656
          },
          "phase_increments": [
            {
              "numerator": 1,
              "denominator": 4
            },
            {
              "numerator": 3,
              "denominator": 4
            }
          ],
          "probe_duration": {
            "numerator": 1,
            "denominator": 16777216
          },
          "readout_error_bound": {
            "numerator": 1,
            "denominator": 1237940039285380274899124224
          },
          "readout_gain_bounds": [
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 2,
              "denominator": 1
            }
          ],
          "clock_rate_bounds": [
            {
              "numerator": 1,
              "denominator": 2
            },
            {
              "numerator": 2,
              "denominator": 1
            }
          ],
          "clock_rate_derivative_bound": {
            "numerator": 1,
            "denominator": 4194304
          },
          "recorded_reading_bounds": [
            [
              {
                "numerator": 65438916715565088817666739383684712163,
                "denominator": 170141183460469231731687303715884105728
              },
              {
                "numerator": 130877833431130177635333478767369424331,
                "denominator": 340282366920938463463374607431768211456
              }
            ],
            [
              {
                "numerator": 65438916715100116337669862587747588471,
                "denominator": 170141183460469231731687303715884105728
              },
              {
                "numerator": 130877833430200232675339725175495176953,
                "denominator": 340282366920938463463374607431768211456
              }
            ],
            [
              {
                "numerator": 65438916714635143881143283213888927275,
                "denominator": 170141183460469231731687303715884105728
              },
              {
                "numerator": 65438916714635143881143283213888927283,
                "denominator": 170141183460469231731687303715884105728
              }
            ],
            [
              {
                "numerator": 65438916710270366913578134379554439399,
                "denominator": 170141183460469231731687303715884105728
              },
              {
                "numerator": 32719458355135183456789067189777219705,
                "denominator": 85070591730234615865843651857942052864
              }
            ]
          ]
        },
        "controls": {
          "false_bulk_angle_bounds": [
            {
              "numerator": 11,
              "denominator": 8
            },
            {
              "numerator": 353,
              "denominator": 256
            }
          ],
          "false_gain_bounds": [
            {
              "numerator": 31,
              "denominator": 16
            },
            {
              "numerator": 2,
              "denominator": 1
            }
          ],
          "false_clock_bounds": [
            {
              "numerator": 25,
              "denominator": 32
            },
            {
              "numerator": 13,
              "denominator": 16
            }
          ],
          "equal_phase_increments": [
            {
              "numerator": 1,
              "denominator": 4
            },
            {
              "numerator": 1,
              "denominator": 4
            }
          ]
        }
      },
      "inverse_outputs": {
        "request_sha256": "f43f7fe4aa7fdc67727b558a66812d644c476f725f42a513f47f49f204ab0439",
        "primary": {
          "schema": "tnfr.sine-clock-drift-inference.v1",
          "report": {
            "bulk_angle_bounds": [
              {
                "numerator": 11,
                "denominator": 8
              },
              {
                "numerator": 3,
                "denominator": 2
              }
            ],
            "receiver_short_angle_bounds": [
              {
                "numerator": 2,
                "denominator": 3
              },
              {
                "numerator": 1,
                "denominator": 1
              }
            ],
            "form_radius": {
              "numerator": 1,
              "denominator": 281474976710656
            },
            "phase_radius": {
              "numerator": 1,
              "denominator": 281474976710656
            },
            "phase_increments": [
              {
                "numerator": 1,
                "denominator": 4
              },
              {
                "numerator": 3,
                "denominator": 4
              }
            ],
            "probe_duration": {
              "numerator": 1,
              "denominator": 16777216
            },
            "recorded_reading_bounds": [
              [
                {
                  "numerator": 65438916715565088817666739383684712163,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833431130177635333478767369424331,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 65438916715100116337669862587747588471,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833430200232675339725175495176953,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 65438916714635143881143283213888927275,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 65438916714635143881143283213888927283,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              [
                {
                  "numerator": 65438916710270366913578134379554439399,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 32719458355135183456789067189777219705,
                  "denominator": 85070591730234615865843651857942052864
                }
              ]
            ],
            "readout_error_bound": {
              "numerator": 1,
              "denominator": 1237940039285380274899124224
            },
            "readout_gain_bounds": [
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 2,
                "denominator": 1
              }
            ],
            "clock_rate_bounds": [
              {
                "numerator": 1,
                "denominator": 2
              },
              {
                "numerator": 2,
                "denominator": 1
              }
            ],
            "clock_rate_derivative_bound": {
              "numerator": 1,
              "denominator": 4194304
            },
            "reference_envelope": {
              "bulk_angle_bounds": [
                {
                  "numerator": 11,
                  "denominator": 8
                },
                {
                  "numerator": 3,
                  "denominator": 2
                }
              ],
              "receiver_short_angle_bounds": [
                {
                  "numerator": 2,
                  "denominator": 3
                },
                {
                  "numerator": 1,
                  "denominator": 1
                }
              ],
              "form_radius": {
                "numerator": 1,
                "denominator": 281474976710656
              },
              "phase_radius": {
                "numerator": 1,
                "denominator": 281474976710656
              },
              "phase_increments": [
                {
                  "numerator": 1,
                  "denominator": 4
                },
                {
                  "numerator": 3,
                  "denominator": 4
                }
              ],
              "probe_duration": {
                "numerator": 1,
                "denominator": 16777216
              },
              "recorded_reading_bounds": [
                [
                  {
                    "numerator": 65438916715565088817666739383684712163,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  {
                    "numerator": 130877833431130177635333478767369424331,
                    "denominator": 340282366920938463463374607431768211456
                  }
                ],
                [
                  {
                    "numerator": 22314670599849139671145395120010884044419,
                    "denominator": 58018143560020008020505370567116480053248
                  },
                  {
                    "numerator": 44629341199698279342290902329665942589357,
                    "denominator": 116036287120040016041010741134232960106496
                  }
                ],
                [
                  {
                    "numerator": 65438916714635143881143283213888927275,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  {
                    "numerator": 65438916714635143881143283213888927283,
                    "denominator": 170141183460469231731687303715884105728
                  }
                ],
                [
                  {
                    "numerator": 22314670598202195117529919644139714841523,
                    "denominator": 58018143560020008020505370567116480053248
                  },
                  {
                    "numerator": 11157335299101097558765184001358206416173,
                    "denominator": 29009071780010004010252685283558240026624
                  }
                ]
              ],
              "readout_error_bound": {
                "numerator": 1,
                "denominator": 1237940039285380274899124224
              },
              "readout_gain_bounds": [
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": 2,
                  "denominator": 1
                }
              ],
              "clock_rate_bounds": [
                {
                  "numerator": 1,
                  "denominator": 2
                },
                {
                  "numerator": 2,
                  "denominator": 1
                }
              ],
              "clock_envelope": {
                "bulk_angle_bounds": [
                  {
                    "numerator": 11,
                    "denominator": 8
                  },
                  {
                    "numerator": 3,
                    "denominator": 2
                  }
                ],
                "receiver_short_angle_bounds": [
                  {
                    "numerator": 2,
                    "denominator": 3
                  },
                  {
                    "numerator": 1,
                    "denominator": 1
                  }
                ],
                "form_radius": {
                  "numerator": 1,
                  "denominator": 281474976710656
                },
                "phase_radius": {
                  "numerator": 1,
                  "denominator": 281474976710656
                },
                "phase_increments": [
                  {
                    "numerator": 1,
                    "denominator": 4
                  },
                  {
                    "numerator": 3,
                    "denominator": 4
                  }
                ],
                "probe_duration": {
                  "numerator": 1,
                  "denominator": 16777216
                },
                "recorded_reading_bounds": [
                  [
                    {
                      "numerator": 65438916715565088817666739383684712163,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 130877833431130177635333478767369424331,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  [
                    {
                      "numerator": 65438916714635143881143283213888927275,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 65438916714635143881143283213888927283,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  ],
                  [
                    {
                      "numerator": 22314670598202195117529919644139714841523,
                      "denominator": 58018143560020008020505370567116480053248
                    },
                    {
                      "numerator": 11157335299101097558765184001358206416173,
                      "denominator": 29009071780010004010252685283558240026624
                    }
                  ]
                ],
                "readout_error_bound": {
                  "numerator": 1,
                  "denominator": 1237940039285380274899124224
                },
                "readout_gain_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 1
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "clock_rate_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 2
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "structural_probe_duration_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 33554432
                  },
                  {
                    "numerator": 1,
                    "denominator": 8388608
                  }
                ],
                "auxiliary_gain_prior_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 4
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "effective_gain_prior_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 2
                  },
                  {
                    "numerator": 4,
                    "denominator": 1
                  }
                ],
                "constraint_envelope": {
                  "bulk_angle_bounds": [
                    {
                      "numerator": 11,
                      "denominator": 8
                    },
                    {
                      "numerator": 3,
                      "denominator": 2
                    }
                  ],
                  "receiver_short_angle_bounds": [
                    {
                      "numerator": 2,
                      "denominator": 3
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    }
                  ],
                  "form_radius": {
                    "numerator": 1,
                    "denominator": 281474976710656
                  },
                  "phase_radius": {
                    "numerator": 1,
                    "denominator": 281474976710656
                  },
                  "phase_increments": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 3,
                      "denominator": 4
                    }
                  ],
                  "probe_duration": {
                    "numerator": 1,
                    "denominator": 8388608
                  },
                  "recorded_reading_bounds": [
                    [
                      {
                        "numerator": 65438916715565088817666739383684712163,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      {
                        "numerator": 130877833431130177635333478767369424331,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    ],
                    [
                      {
                        "numerator": 65438916714635143881143283213888927275,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      {
                        "numerator": 65438916714635143881143283213888927283,
                        "denominator": 170141183460469231731687303715884105728
                      }
                    ],
                    [
                      {
                        "numerator": 22314670598202195117529919644139714841523,
                        "denominator": 58018143560020008020505370567116480053248
                      },
                      {
                        "numerator": 11157335299101097558765184001358206416173,
                        "denominator": 29009071780010004010252685283558240026624
                      }
                    ]
                  ],
                  "readout_error_bound": {
                    "numerator": 1,
                    "denominator": 1237940039285380274899124224
                  },
                  "readout_gain_bounds": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 2,
                      "denominator": 1
                    }
                  ],
                  "reference_model": {
                    "storage_scale": 1.0,
                    "epi_weight": 0.9990234375,
                    "phase_weight": 0.0009765625,
                    "phase_domain": "regular"
                  },
                  "geometry": {
                    "nodes": [
                      0,
                      1,
                      2,
                      3,
                      4,
                      5,
                      6,
                      7,
                      8,
                      9,
                      10,
                      11,
                      12,
                      13,
                      14,
                      15,
                      16,
                      17
                    ],
                    "edges": [
                      [
                        0,
                        1
                      ],
                      [
                        0,
                        8
                      ],
                      [
                        0,
                        9
                      ],
                      [
                        1,
                        2
                      ],
                      [
                        1,
                        10
                      ],
                      [
                        2,
                        3
                      ],
                      [
                        3,
                        4
                      ],
                      [
                        4,
                        5
                      ],
                      [
                        5,
                        6
                      ],
                      [
                        6,
                        7
                      ],
                      [
                        7,
                        8
                      ],
                      [
                        9,
                        10
                      ],
                      [
                        9,
                        17
                      ],
                      [
                        10,
                        11
                      ],
                      [
                        11,
                        12
                      ],
                      [
                        12,
                        13
                      ],
                      [
                        13,
                        14
                      ],
                      [
                        14,
                        15
                      ],
                      [
                        15,
                        16
                      ],
                      [
                        16,
                        17
                      ]
                    ],
                    "incidence": [
                      [
                        -1,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        1,
                        0,
                        0,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1
                      ]
                    ],
                    "tree_edge_indices": [
                      0,
                      1,
                      2,
                      3,
                      4,
                      10,
                      12,
                      5,
                      13,
                      9,
                      19,
                      6,
                      14,
                      8,
                      18,
                      15,
                      17
                    ],
                    "fundamental_cycles": [
                      [
                        4,
                        5,
                        6,
                        7,
                        8,
                        0,
                        1,
                        2,
                        3
                      ],
                      [
                        9,
                        10,
                        1,
                        0
                      ],
                      [
                        13,
                        14,
                        15,
                        16,
                        17,
                        9,
                        0,
                        1,
                        10,
                        11,
                        12
                      ]
                    ],
                    "cycle_rows": [
                      [
                        1,
                        -1,
                        0,
                        1,
                        0,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        -1,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        1,
                        0,
                        -1,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        -1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1
                      ]
                    ],
                    "bridge_edge_indices": [],
                    "cycle_rank": 3,
                    "short_cycle_span_rank": 1,
                    "scope": [
                      "connected_simple_undirected_phase_support_without_self_loops",
                      "node_order_and_cycle_basis_are_coordinates_not_physical_selectors",
                      "all_support_edges_retained_independently_of_transport_weights",
                      "integer_fundamental_cycles_and_exact_rational_short_cycle_rank",
                      "32_node_50_edge_evaluation_budget_is_not_a_physical_restriction",
                      "no_graph_write_live_phase_admission_or_trajectory_claim"
                    ]
                  },
                  "degrees": [
                    3,
                    3,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    3,
                    3,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2
                  ],
                  "nodal_angle_affine_coefficients": [
                    [
                      {
                        "numerator": -61,
                        "denominator": 20
                      },
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -4,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -3,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -21,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": -21,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": -4,
                        "denominator": 5
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": -11,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 4
                      }
                    ],
                    [
                      {
                        "numerator": -3,
                        "denominator": 10
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 5
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 9,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 4
                      }
                    ],
                    [
                      {
                        "numerator": 7,
                        "denominator": 10
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -3,
                        "denominator": 8
                      }
                    ]
                  ],
                  "edge_angle_affine_coefficients": [
                    [
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": -8,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -4,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -2,
                        "denominator": 1
                      },
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ]
                  ],
                  "edge_integer_offsets": [
                    0,
                    2,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    1,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0
                  ],
                  "named_cycle_periods": [
                    {
                      "numerator": 2,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "laplacian": [
                    [
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_laplacian": [
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_upper_slack_matrix": [
                    [
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_sine_symbol_coefficients": [
                    [
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ]
                  ],
                  "readout_forcing_moments": [
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ]
                  ],
                  "dipole": [
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": -1,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "nominal_edge_angle_bounds": [
                    {
                      "lo": {
                        "numerator": 12045370825537839367389137716641537233,
                        "denominator": 21267647932558653966460912964485513216
                      },
                      "hi": {
                        "numerator": 133252075032385973335400202724508201797,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    },
                    {
                      "lo": {
                        "numerator": -3,
                        "denominator": 2
                      },
                      "hi": {
                        "numerator": -11,
                        "denominator": 8
                      }
                    },
                    {
                      "lo": {
                        "numerator": -9222277107020814599071775247843975983,
                        "denominator": 42535295865117307932921825928971026432
                      },
                      "hi": {
                        "numerator": 153076694424459125516342202971760333109,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": -153076694424459125516342202971760333109,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 9222277107020814599071775247843975983,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 113427455640312821154458202477256070485,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 1,
                        "denominator": 1
                      }
                    },
                    {
                      "lo": {
                        "numerator": -238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": -224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "nominal_acute_margin": {
                    "numerator": 752995951469740294119687841451292231,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "source_acute_margin": {
                    "numerator": 752995951469135831209880526863939143,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "total_duration": {
                    "numerator": 1,
                    "denominator": 4194304
                  },
                  "actual_phase_jumps": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 1,
                      "denominator": 2
                    }
                  ],
                  "whole_window_form_norm_candidate": {
                    "numerator": 3023483214910983165,
                    "denominator": 5559855157069972802690351104
                  },
                  "whole_window_phase_norm_candidate": {
                    "numerator": 8339782735604978957078760445,
                    "denominator": 5559855157069972802690351104
                  },
                  "whole_window_acute_margin_candidate": {
                    "numerator": -10540738374106502853183819213961903794648891197124951881287,
                    "denominator": 7047953727041767680220543876983511860363048493743660335104
                  },
                  "finite_remainder_candidate": {
                    "numerator": 4639535003157425283587,
                    "denominator": 35784114521081635733937455184060874752
                  },
                  "finite_remainder_upper_bound": {
                    "numerator": 4639535003157425283587,
                    "denominator": 35784114521081635733937455184060874752
                  },
                  "gamma_bounds": {
                    "lo": {
                      "numerator": 3308750045361523034179564622145679,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": 105880001451568737093746067908661729,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "response_scale_bounds": [
                    {
                      "lo": {
                        "numerator": 9246095636201016491825598365,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 9246095636201016491825598367,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 22776626151303202614030398685,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 22776626151303202614030398687,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "response_matrix_bounds": [
                    [
                      {
                        "lo": {
                          "numerator": 4586977260608963831896929583,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 9173954521217927663793859169,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 288188627074419732126565583,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": 1152754508297678928506262333,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": 21193824235234970656065224535,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 10596912117617485328032612269,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": 4171226232242616901931199729,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 8342452464485233803862399459,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ]
                  ],
                  "determinant_angle_factor_bounds": {
                    "lo": {
                      "numerator": 21046801210185120193770697126998656397,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 84187204840740480775082788507994625591,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "determinant_bounds": {
                    "lo": {
                      "numerator": 19139253210804655,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 76557012843218621,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  "inverse_matrix_bounds": [
                    [
                      {
                        "lo": {
                          "numerator": 18540362045956643852135291317419266613400975079083,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 9270181022978321926067645660714843157499026655537,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": -640473710366729561686044817866962297943543119411,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": -1280947420733459123372089635621445476830023063829,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": -47101398075976061409491892021296181590516706511879,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": -23550699037988030704745946005553897533816769575475,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": 10194150877131574339968306122523176018060256614483,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 5097075438565787169984153061709158725341529596067,
                          "denominator": 85070591730234615865843651857942052864
                        }
                      }
                    ]
                  ],
                  "inverse_row_sum_upper_bounds": [
                    {
                      "numerator": 10551128443711781049439735296448767753386112894359,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 67489699830239210089428504268132816491882824896147,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  "reading_midpoints": [
                    {
                      "numerator": 261755666862260355270666957534738848657,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": 65438916714635143881143283213888927279,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 130877833420540733827156268759108878809,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  "reading_radii": [
                    {
                      "numerator": 5,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": 1,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    {
                      "numerator": 448358576697990823,
                      "denominator": 116036287120040016041010741134232960106496
                    }
                  ],
                  "recorded_increment_midpoints": [
                    {
                      "numerator": -3719779746093824679183139541,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": -8729553935130297668668975749,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  "transformed_reading_coefficients": [
                    [
                      {
                        "lo": {
                          "numerator": 18540362045956643852135291317419266613400975079083,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 9270181022978321926067645660714843157499026655537,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": -10551128443711781049439735296448767753386112894359,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": -21102256887423562098879470588662157567061021206741,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 1280947420733459123372089635621445476830023063829,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 640473710366729561686044817866962297943543119411,
                          "denominator": 85070591730234615865843651857942052864
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": -47101398075976061409491892021296181590516706511879,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": -23550699037988030704745946005553897533816769575475,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": 16872424957559802522357126064038536775938513094979,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": 67489699830239210089428504268132816491882824896147,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": -5097075438565787169984153061709158725341529596067,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": -10194150877131574339968306122523176018060256614483,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      }
                    ]
                  ],
                  "transformed_centers": [
                    {
                      "lo": {
                        "numerator": 17807023806197176984815633854026360391,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 8903511903098588492407816947557211291,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    },
                    {
                      "lo": {
                        "numerator": 33199401183889065628900867745630131851,
                        "denominator": 42535295865117307932921825928971026432
                      },
                      "hi": {
                        "numerator": 33199401183889065628900867775634274647,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    }
                  ],
                  "transformed_observation_error_radii": [
                    {
                      "numerator": 1152603495917922222813831357454035756861380100087430861916061388445,
                      "denominator": 39485102429924822639437705887962576577965064770983432337455036146698377207218176
                    },
                    {
                      "numerator": 18307844058675592957733004410432041341343951083880339039361656740407,
                      "denominator": 78970204859849645278875411775925153155930129541966864674910072293396754414436352
                    }
                  ],
                  "transformed_flow_error_radii": [
                    {
                      "numerator": 48952329737410737809761914545529542384562203325081731449979062947585733,
                      "denominator": 3044175796850895832534184118722269040603787012611444895918585408674466889728
                    },
                    {
                      "numerator": 313120824714982558207951219224312253482238080003409530526291605298639289,
                      "denominator": 6088351593701791665068368237444538081207574025222889791837170817348933779456
                    }
                  ],
                  "raw_transformed_bounds": [
                    {
                      "lo": {
                        "numerator": 35608575650270218320233241122761630597,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 35619519574518489619029294375519935349,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 66394427230509581703525837261305694297,
                        "denominator": 85070591730234615865843651857942052864
                      },
                      "hi": {
                        "numerator": 66403177505046680812077633781223118699,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    }
                  ],
                  "prior_transformed_bounds": [
                    {
                      "lo": {
                        "numerator": 3008827801606212730430961139259982705,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 16550288638384032083354480997374461905,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 83445152785038620452101670385288163211,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 42428744379174680903648820235267800471,
                        "denominator": 21267647932558653966460912964485513216
                      }
                    }
                  ],
                  "transformed_coordinate_bounds": [
                    {
                      "lo": {
                        "numerator": 35608575650270218320233241122761630597,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 35619519574518489619029294375519935349,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 66394427230509581703525837261305694297,
                        "denominator": 85070591730234615865843651857942052864
                      },
                      "hi": {
                        "numerator": 66403177505046680812077633781223118699,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    }
                  ],
                  "nominal_bulk_angle_outer_bounds": {
                    "lo": {
                      "numerator": 30571628650641341737092621227647827679,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 489165739119411533144732107268805134345,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "actual_long_arc_mean_outer_bounds": {
                    "lo": {
                      "numerator": 30571628650641332292359655488357400287,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 489165739119411684260459559097451972617,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "readout_gain_outer_bounds": {
                    "lo": {
                      "numerator": 66988567185061480552054420625814954275,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 267990413819202321071587582496532612857,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "source_admitted": true,
                  "finite_response_certified": true,
                  "rank_deficient": false,
                  "rank_certified": true,
                  "whole_window_acute_certified": false,
                  "inverse_enclosure_available": true,
                  "status": "bounded_candidate",
                  "unavailable_reasons": [],
                  "incompatibility_reasons": [],
                  "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
                  "law": "normalized_sine_reciprocal_exchange",
                  "clock": "tau=e*t",
                  "capacity": [
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    }
                  ],
                  "transformed_coordinate_order": [
                    "gain_times_cos_bulk",
                    "gain_times_sin_bulk"
                  ],
                  "scope": [
                    "same_noncritical_affine_source_family_and_full_two_port_sine_law",
                    "two_successive_equal_windows_without_source_or_equilibrium_reset",
                    "cumulative_amplitudes_determine_first_jump_and_second_amplitude_difference",
                    "three_scalar_readings_share_one_held_positive_gain_and_one_held_offset",
                    "shared_middle_observation_error_retained_before_coordinate_projection",
                    "exact_reading_midpoint_differences_cancel_arbitrary_common_offset",
                    "full_original_source_errors_and_both_evolving_rows_enter_uniform_remainder",
                    "positive_gain_prior_is_supplied_information_not_inferred_physical_calibration",
                    "coordinate_box_can_discard_joint_error_correlations_without_claiming_realizability",
                    "bounded_candidate_gives_necessary_marginals_not_existence_or_point_identification",
                    "actual_pre_probe_arc_mean_expands_nominal_angle_by_original_phase_radius_over_eight",
                    "leading_rank_failure_does_not_exclude_a_full_nonlinear_response",
                    "no_target_root_trajectory_producer_hidden_source_or_cached_report_consumed",
                    "whole_window_acuity_is_optional_and_not_an_inverse_admission_gate"
                  ]
                },
                "finite_remainder_over_clock_candidate": {
                  "numerator": 4639535003157425283587,
                  "denominator": 71568229042163271467874910368121749504
                },
                "finite_remainder_over_clock_upper_bound": {
                  "numerator": 4639535003157425283587,
                  "denominator": 71568229042163271467874910368121749504
                },
                "nominal_bulk_angle_outer_bounds": {
                  "lo": {
                    "numerator": 30571628650641341737092621227647827679,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 489165739119411533144732107268805134345,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                "actual_long_arc_mean_outer_bounds": {
                  "lo": {
                    "numerator": 30571628650641332292359655488357400287,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 489165739119411684260459559097451972617,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                "effective_gain_outer_bounds": {
                  "lo": {
                    "numerator": 66988567185061480552054420625814954275,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 267990413819202321071587582496532612857,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                "readout_gain_outer_bounds": {
                  "lo": {
                    "numerator": 1,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 2,
                    "denominator": 1
                  }
                },
                "clock_rate_outer_bounds": {
                  "lo": {
                    "numerator": 66988567185061480552054420625814954275,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 267990413819202321071587582496532612857,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                "source_admitted": true,
                "finite_response_certified": true,
                "rank_deficient": false,
                "rank_certified": true,
                "whole_window_acute_certified": false,
                "inverse_enclosure_available": true,
                "status": "bounded_candidate",
                "unavailable_reasons": [],
                "incompatibility_reasons": [],
                "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
                "clock": "tau=rho*s; rho is one held positive rate",
                "effective_gain_relation": "J=G*rho",
                "complete_observed_rows": [
                  "dx/ds=rho*(-A*x+gamma*f(theta))",
                  "dtheta/ds=rho*gamma*A*x"
                ],
                "scope": [
                  "fixed_gamma_and_complete_two_port_law_under_one_unknown_constant_clock_rate",
                  "two_events_at_observed_times_zero_and_H_without_source_reset",
                  "auxiliary_envelope_gain_is_L_equal_G_times_rho_over_rho_upper",
                  "auxiliary_upper_duration_is_not_the_actual_unknown_trajectory_duration",
                  "monotone_finite_remainder_over_clock_rate_retains_full_flow_dependence",
                  "three_reading_errors_remain_in_sensor_units_without_clock_division",
                  "effective_gain_J_is_G_times_rho_not_sensor_gain_alone",
                  "separate_gain_and_clock_bounds_project_one_necessary_product_relation",
                  "coordinate_product_need_not_be_jointly_realizable",
                  "no_exact_full_flow_gain_clock_symmetry_or_separate_point_identification",
                  "original_source_actual_arc_mean_retains_original_phase_radius_over_eight",
                  "no_acquisition_calibration_trajectory_producer_or_physical_identification"
                ]
              },
              "observation_times": [
                {
                  "numerator": 0,
                  "denominator": 1
                },
                {
                  "numerator": 1,
                  "denominator": 33554432
                },
                {
                  "numerator": 1,
                  "denominator": 16777216
                },
                {
                  "numerator": 1,
                  "denominator": 8388608
                }
              ],
              "reading_midpoints": [
                {
                  "numerator": 261755666862260355270666957534738848657,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 261755666860400465350679450350990353895,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 65438916714635143881143283213888927279,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833420540733827156268759108878809,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              "reading_radii": [
                {
                  "numerator": 5,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 112089644174500519,
                  "denominator": 232072574240080032082021482268465920212992
                },
                {
                  "numerator": 1,
                  "denominator": 42535295865117307932921825928971026432
                },
                {
                  "numerator": 448358576697990823,
                  "denominator": 116036287120040016041010741134232960106496
                }
              ],
              "curvature_midpoint": {
                "numerator": 93881189688313849983,
                "denominator": 680564733841876926926749214863536422912
              },
              "curvature_observation_radius": {
                "numerator": 224929155279151431,
                "denominator": 232072574240080032082021482268465920212992
              },
              "sensor_corrected_curvature_bounds": {
                "lo": {
                  "numerator": 11735066259002838597,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 46940924652302495595,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "embedded_inverse_reading_coefficients": [
                [
                  {
                    "lo": {
                      "numerator": 18540362045956643852135291317419266613400975079083,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 9270181022978321926067645660714843157499026655537,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 0,
                      "denominator": 1
                    },
                    "hi": {
                      "numerator": 0,
                      "denominator": 1
                    }
                  },
                  {
                    "lo": {
                      "numerator": -10551128443711781049439735296448767753386112894359,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -21102256887423562098879470588662157567061021206741,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1280947420733459123372089635621445476830023063829,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 640473710366729561686044817866962297943543119411,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -47101398075976061409491892021296181590516706511879,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -23550699037988030704745946005553897533816769575475,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 0,
                      "denominator": 1
                    },
                    "hi": {
                      "numerator": 0,
                      "denominator": 1
                    }
                  },
                  {
                    "lo": {
                      "numerator": 16872424957559802522357126064038536775938513094979,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 67489699830239210089428504268132816491882824896147,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -5097075438565787169984153061709158725341529596067,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -10194150877131574339968306122523176018060256614483,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ]
              ],
              "first_window_sine_norm_candidate": {
                "numerator": 13899637892674951759769111549,
                "denominator": 2779927578534986401345175552
              },
              "initial_curvature_error_candidate": {
                "numerator": 9421831,
                "denominator": 662786383279558754304
              },
              "third_derivative_bound_candidate": {
                "numerator": 727882162916499764311947118381803509998888464858299459116709897,
                "denominator": 111693431477012008439152141089655636231611737613829992124847751168
              },
              "normalized_curvature_error_candidate": {
                "numerator": 727908801385579642623680855779531050201302810552846225220024329,
                "denominator": 936952412835514750088739163961813987337588075041275182578434844229894144
              },
              "normalized_curvature_error_upper_bound": {
                "numerator": 727908801385579642623680855779531050201302810552846225220024329,
                "denominator": 936952412835514750088739163961813987337588075041275182578434844229894144
              },
              "effective_gain_denominator_bounds": [
                {
                  "numerator": 66988567185061480552054420625814954275,
                  "denominator": 42535295865117307932921825928971026432
                },
                {
                  "numerator": 267990413819202321071587582496532612857,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              "curvature_coefficient_bounds": {
                "lo": {
                  "numerator": 14911654551639694164871639959399423,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 29831486700327938249236838431791437,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "normalized_curvature_observation_bounds": {
                "lo": {
                  "numerator": 33553320914344949678694414328803507,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 33558318576140379405202466846514251,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "clock_rate_constraint_bounds": {
                "lo": {
                  "numerator": 5980213130063033978893536233218891735,
                  "denominator": 5316911983139663491615228241121378304
                },
                "hi": {
                  "numerator": 191450821119928423259829128475147815267,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              "nominal_bulk_angle_outer_bounds": {
                "lo": {
                  "numerator": 30571628650641341737092621227647827679,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": 489165739119411533144732107268805134345,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "actual_long_arc_mean_outer_bounds": {
                "lo": {
                  "numerator": 30571628650641332292359655488357400287,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": 489165739119411684260459559097451972617,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "effective_gain_outer_bounds": {
                "lo": {
                  "numerator": 66988567185061480552054420625814954275,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 267990413819202321071587582496532612857,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              "readout_gain_outer_bounds": {
                "lo": {
                  "numerator": 476258666638902339359131530081054918545,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 476531993630419402629564752138151554959,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "clock_rate_outer_bounds": {
                "lo": {
                  "numerator": 5980213130063033978893536233218891735,
                  "denominator": 5316911983139663491615228241121378304
                },
                "hi": {
                  "numerator": 191450821119928423259829128475147815267,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              "source_admitted": true,
              "finite_curvature_bound_certified": true,
              "base_inverse_enclosure_available": true,
              "curvature_coefficient_positive": true,
              "curvature_refinement_available": true,
              "inverse_enclosure_available": true,
              "status": "bounded_candidate",
              "unavailable_reasons": [],
              "incompatibility_reasons": [],
              "curvature_reading_coefficients": [
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": -2,
                  "denominator": 1
                },
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": 0,
                  "denominator": 1
                }
              ],
              "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
              "clock": "tau=rho*s; rho is one held positive rate",
              "effective_gain_relation": "J=G*rho",
              "scope": [
                "four_readings_on_one_complete_two_pulse_trajectory_at_zero_H_over_two_H_two_H",
                "first_and_second_phase_events_remain_at_zero_and_H_without_reset",
                "finite_second_difference_is_not_a_supplied_derivative_observation",
                "all_four_readings_are_admitted_before_the_three_reading_clock_envelope",
                "exact_midpoint_second_difference_cancels_arbitrary_held_offset",
                "four_reading_error_coefficients_are_retained_before_marginal_relaxation",
                "complete_initial_state_error_and_third_derivative_remainder_are_retained",
                "clock_refinement_uses_positive_factors_and_exact_endpoint_division",
                "necessary_constraint_intersection_does_not_assert_joint_error_or_state_realizability",
                "original_angle_and_actual_pre_probe_arc_mean_remain_the_child_statistics",
                "unavailable_refinement_retains_the_coarse_clock_report_separately",
                "no_clock_grid_shooting_repeated_fit_or_additional_response_evaluation",
                "no_physical_calibration_source_acquisition_or_unique_law_identification"
              ]
            },
            "observation_times": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 33554432
              },
              {
                "numerator": 1,
                "denominator": 16777216
              },
              {
                "numerator": 1,
                "denominator": 8388608
              }
            ],
            "structural_duration_upper_bound": {
              "numerator": 1,
              "denominator": 4194304
            },
            "whole_window_form_norm_candidate": {
              "numerator": 469765117,
              "denominator": 863846703525003264
            },
            "whole_window_form_norm_upper_bound": {
              "numerator": 469765117,
              "denominator": 863846703525003264
            },
            "structural_readout_speed_candidate": {
              "numerator": 109462543139157,
              "denominator": 47991483529166848
            },
            "structural_readout_speed_upper_bound": {
              "numerator": 109462543139157,
              "denominator": 47991483529166848
            },
            "exposure_discrepancy_bounds": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 9444732965739290427392
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1180591620717411303424
              }
            ],
            "recorded_discrepancy_candidates": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 226633373281328156330099103777798750208
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 28329171660166019541262387972224843776
              }
            ],
            "recorded_discrepancy_upper_bounds": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 226633373281328156330099103777798750208
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 28329171660166019541262387972224843776
              }
            ],
            "comparison_reading_bounds": [
              [
                {
                  "numerator": 65438916715565088817666739383684712163,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833431130177635333478767369424331,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 22314670599849139671145395120010884044419,
                  "denominator": 58018143560020008020505370567116480053248
                },
                {
                  "numerator": 44629341199698279342290902329665942589357,
                  "denominator": 116036287120040016041010741134232960106496
                }
              ],
              [
                {
                  "numerator": 65438916714635143881143283213888927275,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 65438916714635143881143283213888927283,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              [
                {
                  "numerator": 22314670598202195117529919644139714841523,
                  "denominator": 58018143560020008020505370567116480053248
                },
                {
                  "numerator": 11157335299101097558765184001358206416173,
                  "denominator": 29009071780010004010252685283558240026624
                }
              ]
            ],
            "nominal_bulk_angle_outer_bounds": {
              "lo": {
                "numerator": 30571628650641341737092621227647827679,
                "denominator": 21267647932558653966460912964485513216
              },
              "hi": {
                "numerator": 489165739119411533144732107268805134345,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            "actual_long_arc_mean_outer_bounds": {
              "lo": {
                "numerator": 30571628650641332292359655488357400287,
                "denominator": 21267647932558653966460912964485513216
              },
              "hi": {
                "numerator": 489165739119411684260459559097451972617,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            "effective_gain_outer_bounds": {
              "lo": {
                "numerator": 66988567185061480552054420625814954275,
                "denominator": 42535295865117307932921825928971026432
              },
              "hi": {
                "numerator": 267990413819202321071587582496532612857,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            "readout_gain_outer_bounds": {
              "lo": {
                "numerator": 476258666638902339359131530081054918545,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 476531993630419402629564752138151554959,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            "first_window_mean_clock_rate_outer_bounds": {
              "lo": {
                "numerator": 5980213130063033978893536233218891735,
                "denominator": 5316911983139663491615228241121378304
              },
              "hi": {
                "numerator": 191450821119928423259829128475147815267,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            "source_admitted": true,
            "clock_drift_transfer_certified": true,
            "finite_curvature_bound_certified": true,
            "rank_deficient": false,
            "rank_certified": true,
            "inverse_enclosure_available": true,
            "status": "bounded_candidate",
            "unavailable_reasons": [],
            "incompatibility_reasons": [],
            "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
            "clock": "tau(s)=integral_0^s rho(u) du; positive C1 rho with supplied bounds",
            "inferred_clock_statistic": "rho_bar_1=(1/H)*integral_0^H rho(s) ds",
            "effective_gain_relation": "J=G*rho_bar_1",
            "complete_observed_rows": [
              "dx/ds=rho(s)*(-A*x+gamma*f(theta))",
              "dtheta/ds=rho(s)*gamma*A*x"
            ],
            "scope": [
              "global_positive_clock_rate_and_C1_derivative_bounds_are_supplied_premises",
              "fixed_complete_two_port_law_and_both_rows_share_one_clock_exposure",
              "four_point_readings_at_zero_H_over_two_H_two_H_are_not_exposure_averages",
              "original_source_and_phase_events_at_zero_and_H_are_preserved",
              "constant_first_window_mean_reference_agrees_exactly_at_zero_and_H",
              "second_event_starts_from_the_same_complete_state_in_both_histories",
              "only_half_time_and_final_reading_bands_receive_clock_comparison_allowances",
              "original_sensor_error_gain_and_offset_premises_remain_unchanged",
              "reference_envelope_is_a_constraint_on_a_comparison_history_not_actual_constant_clock_flow",
              "reference_status_and_reasons_apply_to_the_widened_necessary_constraints",
              "effective_gain_uses_first_window_mean_rate_not_pointwise_clock_rate",
              "original_actual_arc_mean_retains_the_original_phase_radius_over_eight",
              "marginal_intersections_do_not_certify_joint_state_error_or_clock_profile_realizability",
              "no_profile_fit_clock_grid_response_producer_or_cached_report_input",
              "no_physical_clock_calibration_acquisition_or_unique_law_identification"
            ]
          }
        },
        "false_angle": {
          "schema": "tnfr.sine-clock-drift-inference.v1",
          "report": {
            "bulk_angle_bounds": [
              {
                "numerator": 11,
                "denominator": 8
              },
              {
                "numerator": 353,
                "denominator": 256
              }
            ],
            "receiver_short_angle_bounds": [
              {
                "numerator": 2,
                "denominator": 3
              },
              {
                "numerator": 1,
                "denominator": 1
              }
            ],
            "form_radius": {
              "numerator": 1,
              "denominator": 281474976710656
            },
            "phase_radius": {
              "numerator": 1,
              "denominator": 281474976710656
            },
            "phase_increments": [
              {
                "numerator": 1,
                "denominator": 4
              },
              {
                "numerator": 3,
                "denominator": 4
              }
            ],
            "probe_duration": {
              "numerator": 1,
              "denominator": 16777216
            },
            "recorded_reading_bounds": [
              [
                {
                  "numerator": 65438916715565088817666739383684712163,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833431130177635333478767369424331,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 65438916715100116337669862587747588471,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833430200232675339725175495176953,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 65438916714635143881143283213888927275,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 65438916714635143881143283213888927283,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              [
                {
                  "numerator": 65438916710270366913578134379554439399,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 32719458355135183456789067189777219705,
                  "denominator": 85070591730234615865843651857942052864
                }
              ]
            ],
            "readout_error_bound": {
              "numerator": 1,
              "denominator": 1237940039285380274899124224
            },
            "readout_gain_bounds": [
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 2,
                "denominator": 1
              }
            ],
            "clock_rate_bounds": [
              {
                "numerator": 1,
                "denominator": 2
              },
              {
                "numerator": 2,
                "denominator": 1
              }
            ],
            "clock_rate_derivative_bound": {
              "numerator": 1,
              "denominator": 4194304
            },
            "reference_envelope": {
              "bulk_angle_bounds": [
                {
                  "numerator": 11,
                  "denominator": 8
                },
                {
                  "numerator": 353,
                  "denominator": 256
                }
              ],
              "receiver_short_angle_bounds": [
                {
                  "numerator": 2,
                  "denominator": 3
                },
                {
                  "numerator": 1,
                  "denominator": 1
                }
              ],
              "form_radius": {
                "numerator": 1,
                "denominator": 281474976710656
              },
              "phase_radius": {
                "numerator": 1,
                "denominator": 281474976710656
              },
              "phase_increments": [
                {
                  "numerator": 1,
                  "denominator": 4
                },
                {
                  "numerator": 3,
                  "denominator": 4
                }
              ],
              "probe_duration": {
                "numerator": 1,
                "denominator": 16777216
              },
              "recorded_reading_bounds": [
                [
                  {
                    "numerator": 65438916715565088817666739383684712163,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  {
                    "numerator": 130877833431130177635333478767369424331,
                    "denominator": 340282366920938463463374607431768211456
                  }
                ],
                [
                  {
                    "numerator": 22314670599849139671145395120010884044419,
                    "denominator": 58018143560020008020505370567116480053248
                  },
                  {
                    "numerator": 44629341199698279342290902329665942589357,
                    "denominator": 116036287120040016041010741134232960106496
                  }
                ],
                [
                  {
                    "numerator": 65438916714635143881143283213888927275,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  {
                    "numerator": 65438916714635143881143283213888927283,
                    "denominator": 170141183460469231731687303715884105728
                  }
                ],
                [
                  {
                    "numerator": 22314670598202195117529919644139714841523,
                    "denominator": 58018143560020008020505370567116480053248
                  },
                  {
                    "numerator": 11157335299101097558765184001358206416173,
                    "denominator": 29009071780010004010252685283558240026624
                  }
                ]
              ],
              "readout_error_bound": {
                "numerator": 1,
                "denominator": 1237940039285380274899124224
              },
              "readout_gain_bounds": [
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": 2,
                  "denominator": 1
                }
              ],
              "clock_rate_bounds": [
                {
                  "numerator": 1,
                  "denominator": 2
                },
                {
                  "numerator": 2,
                  "denominator": 1
                }
              ],
              "clock_envelope": {
                "bulk_angle_bounds": [
                  {
                    "numerator": 11,
                    "denominator": 8
                  },
                  {
                    "numerator": 353,
                    "denominator": 256
                  }
                ],
                "receiver_short_angle_bounds": [
                  {
                    "numerator": 2,
                    "denominator": 3
                  },
                  {
                    "numerator": 1,
                    "denominator": 1
                  }
                ],
                "form_radius": {
                  "numerator": 1,
                  "denominator": 281474976710656
                },
                "phase_radius": {
                  "numerator": 1,
                  "denominator": 281474976710656
                },
                "phase_increments": [
                  {
                    "numerator": 1,
                    "denominator": 4
                  },
                  {
                    "numerator": 3,
                    "denominator": 4
                  }
                ],
                "probe_duration": {
                  "numerator": 1,
                  "denominator": 16777216
                },
                "recorded_reading_bounds": [
                  [
                    {
                      "numerator": 65438916715565088817666739383684712163,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 130877833431130177635333478767369424331,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  [
                    {
                      "numerator": 65438916714635143881143283213888927275,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 65438916714635143881143283213888927283,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  ],
                  [
                    {
                      "numerator": 22314670598202195117529919644139714841523,
                      "denominator": 58018143560020008020505370567116480053248
                    },
                    {
                      "numerator": 11157335299101097558765184001358206416173,
                      "denominator": 29009071780010004010252685283558240026624
                    }
                  ]
                ],
                "readout_error_bound": {
                  "numerator": 1,
                  "denominator": 1237940039285380274899124224
                },
                "readout_gain_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 1
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "clock_rate_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 2
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "structural_probe_duration_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 33554432
                  },
                  {
                    "numerator": 1,
                    "denominator": 8388608
                  }
                ],
                "auxiliary_gain_prior_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 4
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "effective_gain_prior_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 2
                  },
                  {
                    "numerator": 4,
                    "denominator": 1
                  }
                ],
                "constraint_envelope": {
                  "bulk_angle_bounds": [
                    {
                      "numerator": 11,
                      "denominator": 8
                    },
                    {
                      "numerator": 353,
                      "denominator": 256
                    }
                  ],
                  "receiver_short_angle_bounds": [
                    {
                      "numerator": 2,
                      "denominator": 3
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    }
                  ],
                  "form_radius": {
                    "numerator": 1,
                    "denominator": 281474976710656
                  },
                  "phase_radius": {
                    "numerator": 1,
                    "denominator": 281474976710656
                  },
                  "phase_increments": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 3,
                      "denominator": 4
                    }
                  ],
                  "probe_duration": {
                    "numerator": 1,
                    "denominator": 8388608
                  },
                  "recorded_reading_bounds": [
                    [
                      {
                        "numerator": 65438916715565088817666739383684712163,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      {
                        "numerator": 130877833431130177635333478767369424331,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    ],
                    [
                      {
                        "numerator": 65438916714635143881143283213888927275,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      {
                        "numerator": 65438916714635143881143283213888927283,
                        "denominator": 170141183460469231731687303715884105728
                      }
                    ],
                    [
                      {
                        "numerator": 22314670598202195117529919644139714841523,
                        "denominator": 58018143560020008020505370567116480053248
                      },
                      {
                        "numerator": 11157335299101097558765184001358206416173,
                        "denominator": 29009071780010004010252685283558240026624
                      }
                    ]
                  ],
                  "readout_error_bound": {
                    "numerator": 1,
                    "denominator": 1237940039285380274899124224
                  },
                  "readout_gain_bounds": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 2,
                      "denominator": 1
                    }
                  ],
                  "reference_model": {
                    "storage_scale": 1.0,
                    "epi_weight": 0.9990234375,
                    "phase_weight": 0.0009765625,
                    "phase_domain": "regular"
                  },
                  "geometry": {
                    "nodes": [
                      0,
                      1,
                      2,
                      3,
                      4,
                      5,
                      6,
                      7,
                      8,
                      9,
                      10,
                      11,
                      12,
                      13,
                      14,
                      15,
                      16,
                      17
                    ],
                    "edges": [
                      [
                        0,
                        1
                      ],
                      [
                        0,
                        8
                      ],
                      [
                        0,
                        9
                      ],
                      [
                        1,
                        2
                      ],
                      [
                        1,
                        10
                      ],
                      [
                        2,
                        3
                      ],
                      [
                        3,
                        4
                      ],
                      [
                        4,
                        5
                      ],
                      [
                        5,
                        6
                      ],
                      [
                        6,
                        7
                      ],
                      [
                        7,
                        8
                      ],
                      [
                        9,
                        10
                      ],
                      [
                        9,
                        17
                      ],
                      [
                        10,
                        11
                      ],
                      [
                        11,
                        12
                      ],
                      [
                        12,
                        13
                      ],
                      [
                        13,
                        14
                      ],
                      [
                        14,
                        15
                      ],
                      [
                        15,
                        16
                      ],
                      [
                        16,
                        17
                      ]
                    ],
                    "incidence": [
                      [
                        -1,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        1,
                        0,
                        0,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1
                      ]
                    ],
                    "tree_edge_indices": [
                      0,
                      1,
                      2,
                      3,
                      4,
                      10,
                      12,
                      5,
                      13,
                      9,
                      19,
                      6,
                      14,
                      8,
                      18,
                      15,
                      17
                    ],
                    "fundamental_cycles": [
                      [
                        4,
                        5,
                        6,
                        7,
                        8,
                        0,
                        1,
                        2,
                        3
                      ],
                      [
                        9,
                        10,
                        1,
                        0
                      ],
                      [
                        13,
                        14,
                        15,
                        16,
                        17,
                        9,
                        0,
                        1,
                        10,
                        11,
                        12
                      ]
                    ],
                    "cycle_rows": [
                      [
                        1,
                        -1,
                        0,
                        1,
                        0,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        -1,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        1,
                        0,
                        -1,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        -1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1
                      ]
                    ],
                    "bridge_edge_indices": [],
                    "cycle_rank": 3,
                    "short_cycle_span_rank": 1,
                    "scope": [
                      "connected_simple_undirected_phase_support_without_self_loops",
                      "node_order_and_cycle_basis_are_coordinates_not_physical_selectors",
                      "all_support_edges_retained_independently_of_transport_weights",
                      "integer_fundamental_cycles_and_exact_rational_short_cycle_rank",
                      "32_node_50_edge_evaluation_budget_is_not_a_physical_restriction",
                      "no_graph_write_live_phase_admission_or_trajectory_claim"
                    ]
                  },
                  "degrees": [
                    3,
                    3,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    3,
                    3,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2
                  ],
                  "nodal_angle_affine_coefficients": [
                    [
                      {
                        "numerator": -61,
                        "denominator": 20
                      },
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -4,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -3,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -21,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": -21,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": -4,
                        "denominator": 5
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": -11,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 4
                      }
                    ],
                    [
                      {
                        "numerator": -3,
                        "denominator": 10
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 5
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 9,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 4
                      }
                    ],
                    [
                      {
                        "numerator": 7,
                        "denominator": 10
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -3,
                        "denominator": 8
                      }
                    ]
                  ],
                  "edge_angle_affine_coefficients": [
                    [
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": -8,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -4,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -2,
                        "denominator": 1
                      },
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ]
                  ],
                  "edge_integer_offsets": [
                    0,
                    2,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    1,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0
                  ],
                  "named_cycle_periods": [
                    {
                      "numerator": 2,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "laplacian": [
                    [
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_laplacian": [
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_upper_slack_matrix": [
                    [
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_sine_symbol_coefficients": [
                    [
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ]
                  ],
                  "readout_forcing_moments": [
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ]
                  ],
                  "dipole": [
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": -1,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "nominal_edge_angle_bounds": [
                    {
                      "lo": {
                        "numerator": 32648404760204035397398147150986878161,
                        "denominator": 21267647932558653966460912964485513216
                      },
                      "hi": {
                        "numerator": 133252075032385973335400202724508201797,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    },
                    {
                      "lo": {
                        "numerator": -353,
                        "denominator": 256
                      },
                      "hi": {
                        "numerator": -11,
                        "denominator": 8
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11380756827645381430937234186501364945,
                        "denominator": 42535295865117307932921825928971026432
                      },
                      "hi": {
                        "numerator": 153076694424459125516342202971760333109,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 353,
                        "denominator": 256
                      }
                    },
                    {
                      "lo": {
                        "numerator": -153076694424459125516342202971760333109,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": -11380756827645381430937234186501364945,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 353,
                        "denominator": 256
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 353,
                        "denominator": 256
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 353,
                        "denominator": 256
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 353,
                        "denominator": 256
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 353,
                        "denominator": 256
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 353,
                        "denominator": 256
                      }
                    },
                    {
                      "lo": {
                        "numerator": 113427455640312821154458202477256070485,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 1,
                        "denominator": 1
                      }
                    },
                    {
                      "lo": {
                        "numerator": -238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": -224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "nominal_acute_margin": {
                    "numerator": 752995951469740294119687841451292231,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "source_acute_margin": {
                    "numerator": 752995951469135831209880526863939143,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "total_duration": {
                    "numerator": 1,
                    "denominator": 4194304
                  },
                  "actual_phase_jumps": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 1,
                      "denominator": 2
                    }
                  ],
                  "whole_window_form_norm_candidate": {
                    "numerator": 3023483214910983165,
                    "denominator": 5559855157069972802690351104
                  },
                  "whole_window_phase_norm_candidate": {
                    "numerator": 8339782735604978957078760445,
                    "denominator": 5559855157069972802690351104
                  },
                  "whole_window_acute_margin_candidate": {
                    "numerator": -10540738374106502853183819213961903794648891197124951881287,
                    "denominator": 7047953727041767680220543876983511860363048493743660335104
                  },
                  "finite_remainder_candidate": {
                    "numerator": 4639535003157425283587,
                    "denominator": 35784114521081635733937455184060874752
                  },
                  "finite_remainder_upper_bound": {
                    "numerator": 4639535003157425283587,
                    "denominator": 35784114521081635733937455184060874752
                  },
                  "gamma_bounds": {
                    "lo": {
                      "numerator": 3308750045361523034179564622145679,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": 105880001451568737093746067908661729,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "response_scale_bounds": [
                    {
                      "lo": {
                        "numerator": 9246095636201016491825598365,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 9246095636201016491825598367,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 22776626151303202614030398685,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 22776626151303202614030398687,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "response_matrix_bounds": [
                    [
                      {
                        "lo": {
                          "numerator": 4586977260608963831896929583,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 9173954521217927663793859169,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 288188627074419732126565583,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": 1152754508297678928506262333,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": 21193824235234970656065224535,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 10596912117617485328032612269,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": 4171226232242616901931199729,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 8342452464485233803862399459,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ]
                  ],
                  "determinant_angle_factor_bounds": {
                    "lo": {
                      "numerator": 21046801210185120193770697126998656397,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 84187204840740480775082788507994625591,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "determinant_bounds": {
                    "lo": {
                      "numerator": 19139253210804655,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 76557012843218621,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  "inverse_matrix_bounds": [
                    [
                      {
                        "lo": {
                          "numerator": 18540362045956643852135291317419266613400975079083,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 9270181022978321926067645660714843157499026655537,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": -640473710366729561686044817866962297943543119411,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": -1280947420733459123372089635621445476830023063829,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": -47101398075976061409491892021296181590516706511879,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": -23550699037988030704745946005553897533816769575475,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": 10194150877131574339968306122523176018060256614483,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 5097075438565787169984153061709158725341529596067,
                          "denominator": 85070591730234615865843651857942052864
                        }
                      }
                    ]
                  ],
                  "inverse_row_sum_upper_bounds": [
                    {
                      "numerator": 10551128443711781049439735296448767753386112894359,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 67489699830239210089428504268132816491882824896147,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  "reading_midpoints": [
                    {
                      "numerator": 261755666862260355270666957534738848657,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": 65438916714635143881143283213888927279,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 130877833420540733827156268759108878809,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  "reading_radii": [
                    {
                      "numerator": 5,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": 1,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    {
                      "numerator": 448358576697990823,
                      "denominator": 116036287120040016041010741134232960106496
                    }
                  ],
                  "recorded_increment_midpoints": [
                    {
                      "numerator": -3719779746093824679183139541,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": -8729553935130297668668975749,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  "transformed_reading_coefficients": [
                    [
                      {
                        "lo": {
                          "numerator": 18540362045956643852135291317419266613400975079083,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 9270181022978321926067645660714843157499026655537,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": -10551128443711781049439735296448767753386112894359,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": -21102256887423562098879470588662157567061021206741,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 1280947420733459123372089635621445476830023063829,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 640473710366729561686044817866962297943543119411,
                          "denominator": 85070591730234615865843651857942052864
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": -47101398075976061409491892021296181590516706511879,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": -23550699037988030704745946005553897533816769575475,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": 16872424957559802522357126064038536775938513094979,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": 67489699830239210089428504268132816491882824896147,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": -5097075438565787169984153061709158725341529596067,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": -10194150877131574339968306122523176018060256614483,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      }
                    ]
                  ],
                  "transformed_centers": [
                    {
                      "lo": {
                        "numerator": 17807023806197176984815633854026360391,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 8903511903098588492407816947557211291,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    },
                    {
                      "lo": {
                        "numerator": 33199401183889065628900867745630131851,
                        "denominator": 42535295865117307932921825928971026432
                      },
                      "hi": {
                        "numerator": 33199401183889065628900867775634274647,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    }
                  ],
                  "transformed_observation_error_radii": [
                    {
                      "numerator": 1152603495917922222813831357454035756861380100087430861916061388445,
                      "denominator": 39485102429924822639437705887962576577965064770983432337455036146698377207218176
                    },
                    {
                      "numerator": 18307844058675592957733004410432041341343951083880339039361656740407,
                      "denominator": 78970204859849645278875411775925153155930129541966864674910072293396754414436352
                    }
                  ],
                  "transformed_flow_error_radii": [
                    {
                      "numerator": 48952329737410737809761914545529542384562203325081731449979062947585733,
                      "denominator": 3044175796850895832534184118722269040603787012611444895918585408674466889728
                    },
                    {
                      "numerator": 313120824714982558207951219224312253482238080003409530526291605298639289,
                      "denominator": 6088351593701791665068368237444538081207574025222889791837170817348933779456
                    }
                  ],
                  "raw_transformed_bounds": [
                    {
                      "lo": {
                        "numerator": 35608575650270218320233241122761630597,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 35619519574518489619029294375519935349,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 66394427230509581703525837261305694297,
                        "denominator": 85070591730234615865843651857942052864
                      },
                      "hi": {
                        "numerator": 66403177505046680812077633781223118699,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    }
                  ],
                  "prior_transformed_bounds": [
                    {
                      "lo": {
                        "numerator": 8112102785374444040925304043342967057,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 16550288638384032083354480997374461905,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 83445152785038620452101670385288163211,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 167018331100874588528261255032437823953,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    }
                  ],
                  "transformed_coordinate_bounds": [
                    {
                      "lo": {
                        "numerator": 35608575650270218320233241122761630597,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 35619519574518489619029294375519935349,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 66394427230509581703525837261305694297,
                        "denominator": 85070591730234615865843651857942052864
                      },
                      "hi": {
                        "numerator": 66403177505046680812077633781223118699,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    }
                  ],
                  "nominal_bulk_angle_outer_bounds": null,
                  "actual_long_arc_mean_outer_bounds": null,
                  "readout_gain_outer_bounds": null,
                  "source_admitted": true,
                  "finite_response_certified": true,
                  "rank_deficient": false,
                  "rank_certified": true,
                  "whole_window_acute_certified": false,
                  "inverse_enclosure_available": false,
                  "status": "incompatible",
                  "unavailable_reasons": [],
                  "incompatibility_reasons": [
                    "joint_angle_or_gain_projection_excludes_its_supplied_prior"
                  ],
                  "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
                  "law": "normalized_sine_reciprocal_exchange",
                  "clock": "tau=e*t",
                  "capacity": [
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    }
                  ],
                  "transformed_coordinate_order": [
                    "gain_times_cos_bulk",
                    "gain_times_sin_bulk"
                  ],
                  "scope": [
                    "same_noncritical_affine_source_family_and_full_two_port_sine_law",
                    "two_successive_equal_windows_without_source_or_equilibrium_reset",
                    "cumulative_amplitudes_determine_first_jump_and_second_amplitude_difference",
                    "three_scalar_readings_share_one_held_positive_gain_and_one_held_offset",
                    "shared_middle_observation_error_retained_before_coordinate_projection",
                    "exact_reading_midpoint_differences_cancel_arbitrary_common_offset",
                    "full_original_source_errors_and_both_evolving_rows_enter_uniform_remainder",
                    "positive_gain_prior_is_supplied_information_not_inferred_physical_calibration",
                    "coordinate_box_can_discard_joint_error_correlations_without_claiming_realizability",
                    "bounded_candidate_gives_necessary_marginals_not_existence_or_point_identification",
                    "actual_pre_probe_arc_mean_expands_nominal_angle_by_original_phase_radius_over_eight",
                    "leading_rank_failure_does_not_exclude_a_full_nonlinear_response",
                    "no_target_root_trajectory_producer_hidden_source_or_cached_report_consumed",
                    "whole_window_acuity_is_optional_and_not_an_inverse_admission_gate"
                  ]
                },
                "finite_remainder_over_clock_candidate": {
                  "numerator": 4639535003157425283587,
                  "denominator": 71568229042163271467874910368121749504
                },
                "finite_remainder_over_clock_upper_bound": {
                  "numerator": 4639535003157425283587,
                  "denominator": 71568229042163271467874910368121749504
                },
                "nominal_bulk_angle_outer_bounds": null,
                "actual_long_arc_mean_outer_bounds": null,
                "effective_gain_outer_bounds": null,
                "readout_gain_outer_bounds": null,
                "clock_rate_outer_bounds": null,
                "source_admitted": true,
                "finite_response_certified": true,
                "rank_deficient": false,
                "rank_certified": true,
                "whole_window_acute_certified": false,
                "inverse_enclosure_available": false,
                "status": "incompatible",
                "unavailable_reasons": [],
                "incompatibility_reasons": [
                  "joint_angle_or_gain_projection_excludes_its_supplied_prior"
                ],
                "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
                "clock": "tau=rho*s; rho is one held positive rate",
                "effective_gain_relation": "J=G*rho",
                "complete_observed_rows": [
                  "dx/ds=rho*(-A*x+gamma*f(theta))",
                  "dtheta/ds=rho*gamma*A*x"
                ],
                "scope": [
                  "fixed_gamma_and_complete_two_port_law_under_one_unknown_constant_clock_rate",
                  "two_events_at_observed_times_zero_and_H_without_source_reset",
                  "auxiliary_envelope_gain_is_L_equal_G_times_rho_over_rho_upper",
                  "auxiliary_upper_duration_is_not_the_actual_unknown_trajectory_duration",
                  "monotone_finite_remainder_over_clock_rate_retains_full_flow_dependence",
                  "three_reading_errors_remain_in_sensor_units_without_clock_division",
                  "effective_gain_J_is_G_times_rho_not_sensor_gain_alone",
                  "separate_gain_and_clock_bounds_project_one_necessary_product_relation",
                  "coordinate_product_need_not_be_jointly_realizable",
                  "no_exact_full_flow_gain_clock_symmetry_or_separate_point_identification",
                  "original_source_actual_arc_mean_retains_original_phase_radius_over_eight",
                  "no_acquisition_calibration_trajectory_producer_or_physical_identification"
                ]
              },
              "observation_times": [
                {
                  "numerator": 0,
                  "denominator": 1
                },
                {
                  "numerator": 1,
                  "denominator": 33554432
                },
                {
                  "numerator": 1,
                  "denominator": 16777216
                },
                {
                  "numerator": 1,
                  "denominator": 8388608
                }
              ],
              "reading_midpoints": [
                {
                  "numerator": 261755666862260355270666957534738848657,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 261755666860400465350679450350990353895,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 65438916714635143881143283213888927279,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833420540733827156268759108878809,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              "reading_radii": [
                {
                  "numerator": 5,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 112089644174500519,
                  "denominator": 232072574240080032082021482268465920212992
                },
                {
                  "numerator": 1,
                  "denominator": 42535295865117307932921825928971026432
                },
                {
                  "numerator": 448358576697990823,
                  "denominator": 116036287120040016041010741134232960106496
                }
              ],
              "curvature_midpoint": {
                "numerator": 93881189688313849983,
                "denominator": 680564733841876926926749214863536422912
              },
              "curvature_observation_radius": {
                "numerator": 224929155279151431,
                "denominator": 232072574240080032082021482268465920212992
              },
              "sensor_corrected_curvature_bounds": {
                "lo": {
                  "numerator": 11735066259002838597,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 46940924652302495595,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "embedded_inverse_reading_coefficients": [
                [
                  {
                    "lo": {
                      "numerator": 18540362045956643852135291317419266613400975079083,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 9270181022978321926067645660714843157499026655537,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 0,
                      "denominator": 1
                    },
                    "hi": {
                      "numerator": 0,
                      "denominator": 1
                    }
                  },
                  {
                    "lo": {
                      "numerator": -10551128443711781049439735296448767753386112894359,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -21102256887423562098879470588662157567061021206741,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1280947420733459123372089635621445476830023063829,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 640473710366729561686044817866962297943543119411,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -47101398075976061409491892021296181590516706511879,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -23550699037988030704745946005553897533816769575475,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 0,
                      "denominator": 1
                    },
                    "hi": {
                      "numerator": 0,
                      "denominator": 1
                    }
                  },
                  {
                    "lo": {
                      "numerator": 16872424957559802522357126064038536775938513094979,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 67489699830239210089428504268132816491882824896147,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -5097075438565787169984153061709158725341529596067,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -10194150877131574339968306122523176018060256614483,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ]
              ],
              "first_window_sine_norm_candidate": {
                "numerator": 13899637892674951759769111549,
                "denominator": 2779927578534986401345175552
              },
              "initial_curvature_error_candidate": {
                "numerator": 9421831,
                "denominator": 662786383279558754304
              },
              "third_derivative_bound_candidate": {
                "numerator": 727882162916499764311947118381803509998888464858299459116709897,
                "denominator": 111693431477012008439152141089655636231611737613829992124847751168
              },
              "normalized_curvature_error_candidate": {
                "numerator": 727908801385579642623680855779531050201302810552846225220024329,
                "denominator": 936952412835514750088739163961813987337588075041275182578434844229894144
              },
              "normalized_curvature_error_upper_bound": {
                "numerator": 727908801385579642623680855779531050201302810552846225220024329,
                "denominator": 936952412835514750088739163961813987337588075041275182578434844229894144
              },
              "effective_gain_denominator_bounds": null,
              "curvature_coefficient_bounds": null,
              "normalized_curvature_observation_bounds": null,
              "clock_rate_constraint_bounds": null,
              "nominal_bulk_angle_outer_bounds": null,
              "actual_long_arc_mean_outer_bounds": null,
              "effective_gain_outer_bounds": null,
              "readout_gain_outer_bounds": null,
              "clock_rate_outer_bounds": null,
              "source_admitted": true,
              "finite_curvature_bound_certified": true,
              "base_inverse_enclosure_available": false,
              "curvature_coefficient_positive": false,
              "curvature_refinement_available": false,
              "inverse_enclosure_available": false,
              "status": "incompatible",
              "unavailable_reasons": [],
              "incompatibility_reasons": [
                "joint_angle_or_gain_projection_excludes_its_supplied_prior"
              ],
              "curvature_reading_coefficients": [
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": -2,
                  "denominator": 1
                },
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": 0,
                  "denominator": 1
                }
              ],
              "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
              "clock": "tau=rho*s; rho is one held positive rate",
              "effective_gain_relation": "J=G*rho",
              "scope": [
                "four_readings_on_one_complete_two_pulse_trajectory_at_zero_H_over_two_H_two_H",
                "first_and_second_phase_events_remain_at_zero_and_H_without_reset",
                "finite_second_difference_is_not_a_supplied_derivative_observation",
                "all_four_readings_are_admitted_before_the_three_reading_clock_envelope",
                "exact_midpoint_second_difference_cancels_arbitrary_held_offset",
                "four_reading_error_coefficients_are_retained_before_marginal_relaxation",
                "complete_initial_state_error_and_third_derivative_remainder_are_retained",
                "clock_refinement_uses_positive_factors_and_exact_endpoint_division",
                "necessary_constraint_intersection_does_not_assert_joint_error_or_state_realizability",
                "original_angle_and_actual_pre_probe_arc_mean_remain_the_child_statistics",
                "unavailable_refinement_retains_the_coarse_clock_report_separately",
                "no_clock_grid_shooting_repeated_fit_or_additional_response_evaluation",
                "no_physical_calibration_source_acquisition_or_unique_law_identification"
              ]
            },
            "observation_times": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 33554432
              },
              {
                "numerator": 1,
                "denominator": 16777216
              },
              {
                "numerator": 1,
                "denominator": 8388608
              }
            ],
            "structural_duration_upper_bound": {
              "numerator": 1,
              "denominator": 4194304
            },
            "whole_window_form_norm_candidate": {
              "numerator": 469765117,
              "denominator": 863846703525003264
            },
            "whole_window_form_norm_upper_bound": {
              "numerator": 469765117,
              "denominator": 863846703525003264
            },
            "structural_readout_speed_candidate": {
              "numerator": 109462543139157,
              "denominator": 47991483529166848
            },
            "structural_readout_speed_upper_bound": {
              "numerator": 109462543139157,
              "denominator": 47991483529166848
            },
            "exposure_discrepancy_bounds": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 9444732965739290427392
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1180591620717411303424
              }
            ],
            "recorded_discrepancy_candidates": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 226633373281328156330099103777798750208
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 28329171660166019541262387972224843776
              }
            ],
            "recorded_discrepancy_upper_bounds": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 226633373281328156330099103777798750208
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 28329171660166019541262387972224843776
              }
            ],
            "comparison_reading_bounds": [
              [
                {
                  "numerator": 65438916715565088817666739383684712163,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833431130177635333478767369424331,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 22314670599849139671145395120010884044419,
                  "denominator": 58018143560020008020505370567116480053248
                },
                {
                  "numerator": 44629341199698279342290902329665942589357,
                  "denominator": 116036287120040016041010741134232960106496
                }
              ],
              [
                {
                  "numerator": 65438916714635143881143283213888927275,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 65438916714635143881143283213888927283,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              [
                {
                  "numerator": 22314670598202195117529919644139714841523,
                  "denominator": 58018143560020008020505370567116480053248
                },
                {
                  "numerator": 11157335299101097558765184001358206416173,
                  "denominator": 29009071780010004010252685283558240026624
                }
              ]
            ],
            "nominal_bulk_angle_outer_bounds": null,
            "actual_long_arc_mean_outer_bounds": null,
            "effective_gain_outer_bounds": null,
            "readout_gain_outer_bounds": null,
            "first_window_mean_clock_rate_outer_bounds": null,
            "source_admitted": true,
            "clock_drift_transfer_certified": true,
            "finite_curvature_bound_certified": true,
            "rank_deficient": false,
            "rank_certified": true,
            "inverse_enclosure_available": false,
            "status": "incompatible",
            "unavailable_reasons": [],
            "incompatibility_reasons": [
              "joint_angle_or_gain_projection_excludes_its_supplied_prior"
            ],
            "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
            "clock": "tau(s)=integral_0^s rho(u) du; positive C1 rho with supplied bounds",
            "inferred_clock_statistic": "rho_bar_1=(1/H)*integral_0^H rho(s) ds",
            "effective_gain_relation": "J=G*rho_bar_1",
            "complete_observed_rows": [
              "dx/ds=rho(s)*(-A*x+gamma*f(theta))",
              "dtheta/ds=rho(s)*gamma*A*x"
            ],
            "scope": [
              "global_positive_clock_rate_and_C1_derivative_bounds_are_supplied_premises",
              "fixed_complete_two_port_law_and_both_rows_share_one_clock_exposure",
              "four_point_readings_at_zero_H_over_two_H_two_H_are_not_exposure_averages",
              "original_source_and_phase_events_at_zero_and_H_are_preserved",
              "constant_first_window_mean_reference_agrees_exactly_at_zero_and_H",
              "second_event_starts_from_the_same_complete_state_in_both_histories",
              "only_half_time_and_final_reading_bands_receive_clock_comparison_allowances",
              "original_sensor_error_gain_and_offset_premises_remain_unchanged",
              "reference_envelope_is_a_constraint_on_a_comparison_history_not_actual_constant_clock_flow",
              "reference_status_and_reasons_apply_to_the_widened_necessary_constraints",
              "effective_gain_uses_first_window_mean_rate_not_pointwise_clock_rate",
              "original_actual_arc_mean_retains_the_original_phase_radius_over_eight",
              "marginal_intersections_do_not_certify_joint_state_error_or_clock_profile_realizability",
              "no_profile_fit_clock_grid_response_producer_or_cached_report_input",
              "no_physical_clock_calibration_acquisition_or_unique_law_identification"
            ]
          }
        },
        "false_gain": {
          "schema": "tnfr.sine-clock-drift-inference.v1",
          "report": {
            "bulk_angle_bounds": [
              {
                "numerator": 11,
                "denominator": 8
              },
              {
                "numerator": 3,
                "denominator": 2
              }
            ],
            "receiver_short_angle_bounds": [
              {
                "numerator": 2,
                "denominator": 3
              },
              {
                "numerator": 1,
                "denominator": 1
              }
            ],
            "form_radius": {
              "numerator": 1,
              "denominator": 281474976710656
            },
            "phase_radius": {
              "numerator": 1,
              "denominator": 281474976710656
            },
            "phase_increments": [
              {
                "numerator": 1,
                "denominator": 4
              },
              {
                "numerator": 3,
                "denominator": 4
              }
            ],
            "probe_duration": {
              "numerator": 1,
              "denominator": 16777216
            },
            "recorded_reading_bounds": [
              [
                {
                  "numerator": 65438916715565088817666739383684712163,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833431130177635333478767369424331,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 65438916715100116337669862587747588471,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833430200232675339725175495176953,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 65438916714635143881143283213888927275,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 65438916714635143881143283213888927283,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              [
                {
                  "numerator": 65438916710270366913578134379554439399,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 32719458355135183456789067189777219705,
                  "denominator": 85070591730234615865843651857942052864
                }
              ]
            ],
            "readout_error_bound": {
              "numerator": 1,
              "denominator": 1237940039285380274899124224
            },
            "readout_gain_bounds": [
              {
                "numerator": 31,
                "denominator": 16
              },
              {
                "numerator": 2,
                "denominator": 1
              }
            ],
            "clock_rate_bounds": [
              {
                "numerator": 1,
                "denominator": 2
              },
              {
                "numerator": 2,
                "denominator": 1
              }
            ],
            "clock_rate_derivative_bound": {
              "numerator": 1,
              "denominator": 4194304
            },
            "reference_envelope": {
              "bulk_angle_bounds": [
                {
                  "numerator": 11,
                  "denominator": 8
                },
                {
                  "numerator": 3,
                  "denominator": 2
                }
              ],
              "receiver_short_angle_bounds": [
                {
                  "numerator": 2,
                  "denominator": 3
                },
                {
                  "numerator": 1,
                  "denominator": 1
                }
              ],
              "form_radius": {
                "numerator": 1,
                "denominator": 281474976710656
              },
              "phase_radius": {
                "numerator": 1,
                "denominator": 281474976710656
              },
              "phase_increments": [
                {
                  "numerator": 1,
                  "denominator": 4
                },
                {
                  "numerator": 3,
                  "denominator": 4
                }
              ],
              "probe_duration": {
                "numerator": 1,
                "denominator": 16777216
              },
              "recorded_reading_bounds": [
                [
                  {
                    "numerator": 65438916715565088817666739383684712163,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  {
                    "numerator": 130877833431130177635333478767369424331,
                    "denominator": 340282366920938463463374607431768211456
                  }
                ],
                [
                  {
                    "numerator": 22314670599849139671145395120010884044419,
                    "denominator": 58018143560020008020505370567116480053248
                  },
                  {
                    "numerator": 44629341199698279342290902329665942589357,
                    "denominator": 116036287120040016041010741134232960106496
                  }
                ],
                [
                  {
                    "numerator": 65438916714635143881143283213888927275,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  {
                    "numerator": 65438916714635143881143283213888927283,
                    "denominator": 170141183460469231731687303715884105728
                  }
                ],
                [
                  {
                    "numerator": 22314670598202195117529919644139714841523,
                    "denominator": 58018143560020008020505370567116480053248
                  },
                  {
                    "numerator": 11157335299101097558765184001358206416173,
                    "denominator": 29009071780010004010252685283558240026624
                  }
                ]
              ],
              "readout_error_bound": {
                "numerator": 1,
                "denominator": 1237940039285380274899124224
              },
              "readout_gain_bounds": [
                {
                  "numerator": 31,
                  "denominator": 16
                },
                {
                  "numerator": 2,
                  "denominator": 1
                }
              ],
              "clock_rate_bounds": [
                {
                  "numerator": 1,
                  "denominator": 2
                },
                {
                  "numerator": 2,
                  "denominator": 1
                }
              ],
              "clock_envelope": {
                "bulk_angle_bounds": [
                  {
                    "numerator": 11,
                    "denominator": 8
                  },
                  {
                    "numerator": 3,
                    "denominator": 2
                  }
                ],
                "receiver_short_angle_bounds": [
                  {
                    "numerator": 2,
                    "denominator": 3
                  },
                  {
                    "numerator": 1,
                    "denominator": 1
                  }
                ],
                "form_radius": {
                  "numerator": 1,
                  "denominator": 281474976710656
                },
                "phase_radius": {
                  "numerator": 1,
                  "denominator": 281474976710656
                },
                "phase_increments": [
                  {
                    "numerator": 1,
                    "denominator": 4
                  },
                  {
                    "numerator": 3,
                    "denominator": 4
                  }
                ],
                "probe_duration": {
                  "numerator": 1,
                  "denominator": 16777216
                },
                "recorded_reading_bounds": [
                  [
                    {
                      "numerator": 65438916715565088817666739383684712163,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 130877833431130177635333478767369424331,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  [
                    {
                      "numerator": 65438916714635143881143283213888927275,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 65438916714635143881143283213888927283,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  ],
                  [
                    {
                      "numerator": 22314670598202195117529919644139714841523,
                      "denominator": 58018143560020008020505370567116480053248
                    },
                    {
                      "numerator": 11157335299101097558765184001358206416173,
                      "denominator": 29009071780010004010252685283558240026624
                    }
                  ]
                ],
                "readout_error_bound": {
                  "numerator": 1,
                  "denominator": 1237940039285380274899124224
                },
                "readout_gain_bounds": [
                  {
                    "numerator": 31,
                    "denominator": 16
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "clock_rate_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 2
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "structural_probe_duration_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 33554432
                  },
                  {
                    "numerator": 1,
                    "denominator": 8388608
                  }
                ],
                "auxiliary_gain_prior_bounds": [
                  {
                    "numerator": 31,
                    "denominator": 64
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "effective_gain_prior_bounds": [
                  {
                    "numerator": 31,
                    "denominator": 32
                  },
                  {
                    "numerator": 4,
                    "denominator": 1
                  }
                ],
                "constraint_envelope": {
                  "bulk_angle_bounds": [
                    {
                      "numerator": 11,
                      "denominator": 8
                    },
                    {
                      "numerator": 3,
                      "denominator": 2
                    }
                  ],
                  "receiver_short_angle_bounds": [
                    {
                      "numerator": 2,
                      "denominator": 3
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    }
                  ],
                  "form_radius": {
                    "numerator": 1,
                    "denominator": 281474976710656
                  },
                  "phase_radius": {
                    "numerator": 1,
                    "denominator": 281474976710656
                  },
                  "phase_increments": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 3,
                      "denominator": 4
                    }
                  ],
                  "probe_duration": {
                    "numerator": 1,
                    "denominator": 8388608
                  },
                  "recorded_reading_bounds": [
                    [
                      {
                        "numerator": 65438916715565088817666739383684712163,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      {
                        "numerator": 130877833431130177635333478767369424331,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    ],
                    [
                      {
                        "numerator": 65438916714635143881143283213888927275,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      {
                        "numerator": 65438916714635143881143283213888927283,
                        "denominator": 170141183460469231731687303715884105728
                      }
                    ],
                    [
                      {
                        "numerator": 22314670598202195117529919644139714841523,
                        "denominator": 58018143560020008020505370567116480053248
                      },
                      {
                        "numerator": 11157335299101097558765184001358206416173,
                        "denominator": 29009071780010004010252685283558240026624
                      }
                    ]
                  ],
                  "readout_error_bound": {
                    "numerator": 1,
                    "denominator": 1237940039285380274899124224
                  },
                  "readout_gain_bounds": [
                    {
                      "numerator": 31,
                      "denominator": 64
                    },
                    {
                      "numerator": 2,
                      "denominator": 1
                    }
                  ],
                  "reference_model": {
                    "storage_scale": 1.0,
                    "epi_weight": 0.9990234375,
                    "phase_weight": 0.0009765625,
                    "phase_domain": "regular"
                  },
                  "geometry": {
                    "nodes": [
                      0,
                      1,
                      2,
                      3,
                      4,
                      5,
                      6,
                      7,
                      8,
                      9,
                      10,
                      11,
                      12,
                      13,
                      14,
                      15,
                      16,
                      17
                    ],
                    "edges": [
                      [
                        0,
                        1
                      ],
                      [
                        0,
                        8
                      ],
                      [
                        0,
                        9
                      ],
                      [
                        1,
                        2
                      ],
                      [
                        1,
                        10
                      ],
                      [
                        2,
                        3
                      ],
                      [
                        3,
                        4
                      ],
                      [
                        4,
                        5
                      ],
                      [
                        5,
                        6
                      ],
                      [
                        6,
                        7
                      ],
                      [
                        7,
                        8
                      ],
                      [
                        9,
                        10
                      ],
                      [
                        9,
                        17
                      ],
                      [
                        10,
                        11
                      ],
                      [
                        11,
                        12
                      ],
                      [
                        12,
                        13
                      ],
                      [
                        13,
                        14
                      ],
                      [
                        14,
                        15
                      ],
                      [
                        15,
                        16
                      ],
                      [
                        16,
                        17
                      ]
                    ],
                    "incidence": [
                      [
                        -1,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        1,
                        0,
                        0,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1
                      ]
                    ],
                    "tree_edge_indices": [
                      0,
                      1,
                      2,
                      3,
                      4,
                      10,
                      12,
                      5,
                      13,
                      9,
                      19,
                      6,
                      14,
                      8,
                      18,
                      15,
                      17
                    ],
                    "fundamental_cycles": [
                      [
                        4,
                        5,
                        6,
                        7,
                        8,
                        0,
                        1,
                        2,
                        3
                      ],
                      [
                        9,
                        10,
                        1,
                        0
                      ],
                      [
                        13,
                        14,
                        15,
                        16,
                        17,
                        9,
                        0,
                        1,
                        10,
                        11,
                        12
                      ]
                    ],
                    "cycle_rows": [
                      [
                        1,
                        -1,
                        0,
                        1,
                        0,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        -1,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        1,
                        0,
                        -1,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        -1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1
                      ]
                    ],
                    "bridge_edge_indices": [],
                    "cycle_rank": 3,
                    "short_cycle_span_rank": 1,
                    "scope": [
                      "connected_simple_undirected_phase_support_without_self_loops",
                      "node_order_and_cycle_basis_are_coordinates_not_physical_selectors",
                      "all_support_edges_retained_independently_of_transport_weights",
                      "integer_fundamental_cycles_and_exact_rational_short_cycle_rank",
                      "32_node_50_edge_evaluation_budget_is_not_a_physical_restriction",
                      "no_graph_write_live_phase_admission_or_trajectory_claim"
                    ]
                  },
                  "degrees": [
                    3,
                    3,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    3,
                    3,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2
                  ],
                  "nodal_angle_affine_coefficients": [
                    [
                      {
                        "numerator": -61,
                        "denominator": 20
                      },
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -4,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -3,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -21,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": -21,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": -4,
                        "denominator": 5
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": -11,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 4
                      }
                    ],
                    [
                      {
                        "numerator": -3,
                        "denominator": 10
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 5
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 9,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 4
                      }
                    ],
                    [
                      {
                        "numerator": 7,
                        "denominator": 10
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -3,
                        "denominator": 8
                      }
                    ]
                  ],
                  "edge_angle_affine_coefficients": [
                    [
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": -8,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -4,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -2,
                        "denominator": 1
                      },
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ]
                  ],
                  "edge_integer_offsets": [
                    0,
                    2,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    1,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0
                  ],
                  "named_cycle_periods": [
                    {
                      "numerator": 2,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "laplacian": [
                    [
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_laplacian": [
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_upper_slack_matrix": [
                    [
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_sine_symbol_coefficients": [
                    [
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ]
                  ],
                  "readout_forcing_moments": [
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ]
                  ],
                  "dipole": [
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": -1,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "nominal_edge_angle_bounds": [
                    {
                      "lo": {
                        "numerator": 12045370825537839367389137716641537233,
                        "denominator": 21267647932558653966460912964485513216
                      },
                      "hi": {
                        "numerator": 133252075032385973335400202724508201797,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    },
                    {
                      "lo": {
                        "numerator": -3,
                        "denominator": 2
                      },
                      "hi": {
                        "numerator": -11,
                        "denominator": 8
                      }
                    },
                    {
                      "lo": {
                        "numerator": -9222277107020814599071775247843975983,
                        "denominator": 42535295865117307932921825928971026432
                      },
                      "hi": {
                        "numerator": 153076694424459125516342202971760333109,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": -153076694424459125516342202971760333109,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 9222277107020814599071775247843975983,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 113427455640312821154458202477256070485,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 1,
                        "denominator": 1
                      }
                    },
                    {
                      "lo": {
                        "numerator": -238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": -224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "nominal_acute_margin": {
                    "numerator": 752995951469740294119687841451292231,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "source_acute_margin": {
                    "numerator": 752995951469135831209880526863939143,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "total_duration": {
                    "numerator": 1,
                    "denominator": 4194304
                  },
                  "actual_phase_jumps": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 1,
                      "denominator": 2
                    }
                  ],
                  "whole_window_form_norm_candidate": {
                    "numerator": 3023483214910983165,
                    "denominator": 5559855157069972802690351104
                  },
                  "whole_window_phase_norm_candidate": {
                    "numerator": 8339782735604978957078760445,
                    "denominator": 5559855157069972802690351104
                  },
                  "whole_window_acute_margin_candidate": {
                    "numerator": -10540738374106502853183819213961903794648891197124951881287,
                    "denominator": 7047953727041767680220543876983511860363048493743660335104
                  },
                  "finite_remainder_candidate": {
                    "numerator": 4639535003157425283587,
                    "denominator": 35784114521081635733937455184060874752
                  },
                  "finite_remainder_upper_bound": {
                    "numerator": 4639535003157425283587,
                    "denominator": 35784114521081635733937455184060874752
                  },
                  "gamma_bounds": {
                    "lo": {
                      "numerator": 3308750045361523034179564622145679,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": 105880001451568737093746067908661729,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "response_scale_bounds": [
                    {
                      "lo": {
                        "numerator": 9246095636201016491825598365,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 9246095636201016491825598367,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 22776626151303202614030398685,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 22776626151303202614030398687,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "response_matrix_bounds": [
                    [
                      {
                        "lo": {
                          "numerator": 4586977260608963831896929583,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 9173954521217927663793859169,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 288188627074419732126565583,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": 1152754508297678928506262333,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": 21193824235234970656065224535,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 10596912117617485328032612269,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": 4171226232242616901931199729,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 8342452464485233803862399459,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ]
                  ],
                  "determinant_angle_factor_bounds": {
                    "lo": {
                      "numerator": 21046801210185120193770697126998656397,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 84187204840740480775082788507994625591,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "determinant_bounds": {
                    "lo": {
                      "numerator": 19139253210804655,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 76557012843218621,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  "inverse_matrix_bounds": [
                    [
                      {
                        "lo": {
                          "numerator": 18540362045956643852135291317419266613400975079083,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 9270181022978321926067645660714843157499026655537,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": -640473710366729561686044817866962297943543119411,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": -1280947420733459123372089635621445476830023063829,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": -47101398075976061409491892021296181590516706511879,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": -23550699037988030704745946005553897533816769575475,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": 10194150877131574339968306122523176018060256614483,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 5097075438565787169984153061709158725341529596067,
                          "denominator": 85070591730234615865843651857942052864
                        }
                      }
                    ]
                  ],
                  "inverse_row_sum_upper_bounds": [
                    {
                      "numerator": 10551128443711781049439735296448767753386112894359,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 67489699830239210089428504268132816491882824896147,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  "reading_midpoints": [
                    {
                      "numerator": 261755666862260355270666957534738848657,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": 65438916714635143881143283213888927279,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 130877833420540733827156268759108878809,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  "reading_radii": [
                    {
                      "numerator": 5,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": 1,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    {
                      "numerator": 448358576697990823,
                      "denominator": 116036287120040016041010741134232960106496
                    }
                  ],
                  "recorded_increment_midpoints": [
                    {
                      "numerator": -3719779746093824679183139541,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": -8729553935130297668668975749,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  "transformed_reading_coefficients": [
                    [
                      {
                        "lo": {
                          "numerator": 18540362045956643852135291317419266613400975079083,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 9270181022978321926067645660714843157499026655537,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": -10551128443711781049439735296448767753386112894359,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": -21102256887423562098879470588662157567061021206741,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 1280947420733459123372089635621445476830023063829,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 640473710366729561686044817866962297943543119411,
                          "denominator": 85070591730234615865843651857942052864
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": -47101398075976061409491892021296181590516706511879,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": -23550699037988030704745946005553897533816769575475,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": 16872424957559802522357126064038536775938513094979,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": 67489699830239210089428504268132816491882824896147,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": -5097075438565787169984153061709158725341529596067,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": -10194150877131574339968306122523176018060256614483,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      }
                    ]
                  ],
                  "transformed_centers": [
                    {
                      "lo": {
                        "numerator": 17807023806197176984815633854026360391,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 8903511903098588492407816947557211291,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    },
                    {
                      "lo": {
                        "numerator": 33199401183889065628900867745630131851,
                        "denominator": 42535295865117307932921825928971026432
                      },
                      "hi": {
                        "numerator": 33199401183889065628900867775634274647,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    }
                  ],
                  "transformed_observation_error_radii": [
                    {
                      "numerator": 1152603495917922222813831357454035756861380100087430861916061388445,
                      "denominator": 39485102429924822639437705887962576577965064770983432337455036146698377207218176
                    },
                    {
                      "numerator": 18307844058675592957733004410432041341343951083880339039361656740407,
                      "denominator": 78970204859849645278875411775925153155930129541966864674910072293396754414436352
                    }
                  ],
                  "transformed_flow_error_radii": [
                    {
                      "numerator": 48952329737410737809761914545529542384562203325081731449979062947585733,
                      "denominator": 3044175796850895832534184118722269040603787012611444895918585408674466889728
                    },
                    {
                      "numerator": 313120824714982558207951219224312253482238080003409530526291605298639289,
                      "denominator": 6088351593701791665068368237444538081207574025222889791837170817348933779456
                    }
                  ],
                  "raw_transformed_bounds": [
                    {
                      "lo": {
                        "numerator": 35608575650270218320233241122761630597,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 35619519574518489619029294375519935349,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 66394427230509581703525837261305694297,
                        "denominator": 85070591730234615865843651857942052864
                      },
                      "hi": {
                        "numerator": 66403177505046680812077633781223118699,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    }
                  ],
                  "prior_transformed_bounds": [
                    {
                      "lo": {
                        "numerator": 5829603865612037165209987207316216491,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 16550288638384032083354480997374461905,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 80837491760506163562973493185747908111,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 42428744379174680903648820235267800471,
                        "denominator": 21267647932558653966460912964485513216
                      }
                    }
                  ],
                  "transformed_coordinate_bounds": [
                    {
                      "lo": {
                        "numerator": 35608575650270218320233241122761630597,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 35619519574518489619029294375519935349,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 66394427230509581703525837261305694297,
                        "denominator": 85070591730234615865843651857942052864
                      },
                      "hi": {
                        "numerator": 66403177505046680812077633781223118699,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    }
                  ],
                  "nominal_bulk_angle_outer_bounds": {
                    "lo": {
                      "numerator": 30571628650641341737092621227647827679,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 489165739119411533144732107268805134345,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "actual_long_arc_mean_outer_bounds": {
                    "lo": {
                      "numerator": 30571628650641332292359655488357400287,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 489165739119411684260459559097451972617,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "readout_gain_outer_bounds": {
                    "lo": {
                      "numerator": 66988567185061480552054420625814954275,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 267990413819202321071587582496532612857,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "source_admitted": true,
                  "finite_response_certified": true,
                  "rank_deficient": false,
                  "rank_certified": true,
                  "whole_window_acute_certified": false,
                  "inverse_enclosure_available": true,
                  "status": "bounded_candidate",
                  "unavailable_reasons": [],
                  "incompatibility_reasons": [],
                  "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
                  "law": "normalized_sine_reciprocal_exchange",
                  "clock": "tau=e*t",
                  "capacity": [
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    }
                  ],
                  "transformed_coordinate_order": [
                    "gain_times_cos_bulk",
                    "gain_times_sin_bulk"
                  ],
                  "scope": [
                    "same_noncritical_affine_source_family_and_full_two_port_sine_law",
                    "two_successive_equal_windows_without_source_or_equilibrium_reset",
                    "cumulative_amplitudes_determine_first_jump_and_second_amplitude_difference",
                    "three_scalar_readings_share_one_held_positive_gain_and_one_held_offset",
                    "shared_middle_observation_error_retained_before_coordinate_projection",
                    "exact_reading_midpoint_differences_cancel_arbitrary_common_offset",
                    "full_original_source_errors_and_both_evolving_rows_enter_uniform_remainder",
                    "positive_gain_prior_is_supplied_information_not_inferred_physical_calibration",
                    "coordinate_box_can_discard_joint_error_correlations_without_claiming_realizability",
                    "bounded_candidate_gives_necessary_marginals_not_existence_or_point_identification",
                    "actual_pre_probe_arc_mean_expands_nominal_angle_by_original_phase_radius_over_eight",
                    "leading_rank_failure_does_not_exclude_a_full_nonlinear_response",
                    "no_target_root_trajectory_producer_hidden_source_or_cached_report_consumed",
                    "whole_window_acuity_is_optional_and_not_an_inverse_admission_gate"
                  ]
                },
                "finite_remainder_over_clock_candidate": {
                  "numerator": 4639535003157425283587,
                  "denominator": 71568229042163271467874910368121749504
                },
                "finite_remainder_over_clock_upper_bound": {
                  "numerator": 4639535003157425283587,
                  "denominator": 71568229042163271467874910368121749504
                },
                "nominal_bulk_angle_outer_bounds": {
                  "lo": {
                    "numerator": 30571628650641341737092621227647827679,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 489165739119411533144732107268805134345,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                "actual_long_arc_mean_outer_bounds": {
                  "lo": {
                    "numerator": 30571628650641332292359655488357400287,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 489165739119411684260459559097451972617,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                "effective_gain_outer_bounds": {
                  "lo": {
                    "numerator": 66988567185061480552054420625814954275,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 267990413819202321071587582496532612857,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                "readout_gain_outer_bounds": {
                  "lo": {
                    "numerator": 31,
                    "denominator": 16
                  },
                  "hi": {
                    "numerator": 2,
                    "denominator": 1
                  }
                },
                "clock_rate_outer_bounds": {
                  "lo": {
                    "numerator": 66988567185061480552054420625814954275,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 138317632938943133456303268385307155023,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                "source_admitted": true,
                "finite_response_certified": true,
                "rank_deficient": false,
                "rank_certified": true,
                "whole_window_acute_certified": false,
                "inverse_enclosure_available": true,
                "status": "bounded_candidate",
                "unavailable_reasons": [],
                "incompatibility_reasons": [],
                "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
                "clock": "tau=rho*s; rho is one held positive rate",
                "effective_gain_relation": "J=G*rho",
                "complete_observed_rows": [
                  "dx/ds=rho*(-A*x+gamma*f(theta))",
                  "dtheta/ds=rho*gamma*A*x"
                ],
                "scope": [
                  "fixed_gamma_and_complete_two_port_law_under_one_unknown_constant_clock_rate",
                  "two_events_at_observed_times_zero_and_H_without_source_reset",
                  "auxiliary_envelope_gain_is_L_equal_G_times_rho_over_rho_upper",
                  "auxiliary_upper_duration_is_not_the_actual_unknown_trajectory_duration",
                  "monotone_finite_remainder_over_clock_rate_retains_full_flow_dependence",
                  "three_reading_errors_remain_in_sensor_units_without_clock_division",
                  "effective_gain_J_is_G_times_rho_not_sensor_gain_alone",
                  "separate_gain_and_clock_bounds_project_one_necessary_product_relation",
                  "coordinate_product_need_not_be_jointly_realizable",
                  "no_exact_full_flow_gain_clock_symmetry_or_separate_point_identification",
                  "original_source_actual_arc_mean_retains_original_phase_radius_over_eight",
                  "no_acquisition_calibration_trajectory_producer_or_physical_identification"
                ]
              },
              "observation_times": [
                {
                  "numerator": 0,
                  "denominator": 1
                },
                {
                  "numerator": 1,
                  "denominator": 33554432
                },
                {
                  "numerator": 1,
                  "denominator": 16777216
                },
                {
                  "numerator": 1,
                  "denominator": 8388608
                }
              ],
              "reading_midpoints": [
                {
                  "numerator": 261755666862260355270666957534738848657,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 261755666860400465350679450350990353895,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 65438916714635143881143283213888927279,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833420540733827156268759108878809,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              "reading_radii": [
                {
                  "numerator": 5,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 112089644174500519,
                  "denominator": 232072574240080032082021482268465920212992
                },
                {
                  "numerator": 1,
                  "denominator": 42535295865117307932921825928971026432
                },
                {
                  "numerator": 448358576697990823,
                  "denominator": 116036287120040016041010741134232960106496
                }
              ],
              "curvature_midpoint": {
                "numerator": 93881189688313849983,
                "denominator": 680564733841876926926749214863536422912
              },
              "curvature_observation_radius": {
                "numerator": 224929155279151431,
                "denominator": 232072574240080032082021482268465920212992
              },
              "sensor_corrected_curvature_bounds": {
                "lo": {
                  "numerator": 11735066259002838597,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 46940924652302495595,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "embedded_inverse_reading_coefficients": [
                [
                  {
                    "lo": {
                      "numerator": 18540362045956643852135291317419266613400975079083,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 9270181022978321926067645660714843157499026655537,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 0,
                      "denominator": 1
                    },
                    "hi": {
                      "numerator": 0,
                      "denominator": 1
                    }
                  },
                  {
                    "lo": {
                      "numerator": -10551128443711781049439735296448767753386112894359,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -21102256887423562098879470588662157567061021206741,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1280947420733459123372089635621445476830023063829,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 640473710366729561686044817866962297943543119411,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -47101398075976061409491892021296181590516706511879,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -23550699037988030704745946005553897533816769575475,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 0,
                      "denominator": 1
                    },
                    "hi": {
                      "numerator": 0,
                      "denominator": 1
                    }
                  },
                  {
                    "lo": {
                      "numerator": 16872424957559802522357126064038536775938513094979,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 67489699830239210089428504268132816491882824896147,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -5097075438565787169984153061709158725341529596067,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -10194150877131574339968306122523176018060256614483,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ]
              ],
              "first_window_sine_norm_candidate": {
                "numerator": 13899637892674951759769111549,
                "denominator": 2779927578534986401345175552
              },
              "initial_curvature_error_candidate": {
                "numerator": 9421831,
                "denominator": 662786383279558754304
              },
              "third_derivative_bound_candidate": {
                "numerator": 727882162916499764311947118381803509998888464858299459116709897,
                "denominator": 111693431477012008439152141089655636231611737613829992124847751168
              },
              "normalized_curvature_error_candidate": {
                "numerator": 727908801385579642623680855779531050201302810552846225220024329,
                "denominator": 936952412835514750088739163961813987337588075041275182578434844229894144
              },
              "normalized_curvature_error_upper_bound": {
                "numerator": 727908801385579642623680855779531050201302810552846225220024329,
                "denominator": 936952412835514750088739163961813987337588075041275182578434844229894144
              },
              "effective_gain_denominator_bounds": [
                {
                  "numerator": 66988567185061480552054420625814954275,
                  "denominator": 42535295865117307932921825928971026432
                },
                {
                  "numerator": 267990413819202321071587582496532612857,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              "curvature_coefficient_bounds": {
                "lo": {
                  "numerator": 14911654551639694164871639959399423,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 29831486700327938249236838431791437,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "normalized_curvature_observation_bounds": {
                "lo": {
                  "numerator": 33553320914344949678694414328803507,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 33558318576140379405202466846514251,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "clock_rate_constraint_bounds": {
                "lo": {
                  "numerator": 5980213130063033978893536233218891735,
                  "denominator": 5316911983139663491615228241121378304
                },
                "hi": {
                  "numerator": 191450821119928423259829128475147815267,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              "nominal_bulk_angle_outer_bounds": null,
              "actual_long_arc_mean_outer_bounds": null,
              "effective_gain_outer_bounds": null,
              "readout_gain_outer_bounds": null,
              "clock_rate_outer_bounds": null,
              "source_admitted": true,
              "finite_curvature_bound_certified": true,
              "base_inverse_enclosure_available": true,
              "curvature_coefficient_positive": true,
              "curvature_refinement_available": false,
              "inverse_enclosure_available": false,
              "status": "incompatible",
              "unavailable_reasons": [],
              "incompatibility_reasons": [
                "finite_curvature_excludes_the_clock_prior_and_coarse_envelope"
              ],
              "curvature_reading_coefficients": [
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": -2,
                  "denominator": 1
                },
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": 0,
                  "denominator": 1
                }
              ],
              "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
              "clock": "tau=rho*s; rho is one held positive rate",
              "effective_gain_relation": "J=G*rho",
              "scope": [
                "four_readings_on_one_complete_two_pulse_trajectory_at_zero_H_over_two_H_two_H",
                "first_and_second_phase_events_remain_at_zero_and_H_without_reset",
                "finite_second_difference_is_not_a_supplied_derivative_observation",
                "all_four_readings_are_admitted_before_the_three_reading_clock_envelope",
                "exact_midpoint_second_difference_cancels_arbitrary_held_offset",
                "four_reading_error_coefficients_are_retained_before_marginal_relaxation",
                "complete_initial_state_error_and_third_derivative_remainder_are_retained",
                "clock_refinement_uses_positive_factors_and_exact_endpoint_division",
                "necessary_constraint_intersection_does_not_assert_joint_error_or_state_realizability",
                "original_angle_and_actual_pre_probe_arc_mean_remain_the_child_statistics",
                "unavailable_refinement_retains_the_coarse_clock_report_separately",
                "no_clock_grid_shooting_repeated_fit_or_additional_response_evaluation",
                "no_physical_calibration_source_acquisition_or_unique_law_identification"
              ]
            },
            "observation_times": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 33554432
              },
              {
                "numerator": 1,
                "denominator": 16777216
              },
              {
                "numerator": 1,
                "denominator": 8388608
              }
            ],
            "structural_duration_upper_bound": {
              "numerator": 1,
              "denominator": 4194304
            },
            "whole_window_form_norm_candidate": {
              "numerator": 469765117,
              "denominator": 863846703525003264
            },
            "whole_window_form_norm_upper_bound": {
              "numerator": 469765117,
              "denominator": 863846703525003264
            },
            "structural_readout_speed_candidate": {
              "numerator": 109462543139157,
              "denominator": 47991483529166848
            },
            "structural_readout_speed_upper_bound": {
              "numerator": 109462543139157,
              "denominator": 47991483529166848
            },
            "exposure_discrepancy_bounds": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 9444732965739290427392
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1180591620717411303424
              }
            ],
            "recorded_discrepancy_candidates": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 226633373281328156330099103777798750208
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 28329171660166019541262387972224843776
              }
            ],
            "recorded_discrepancy_upper_bounds": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 226633373281328156330099103777798750208
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 28329171660166019541262387972224843776
              }
            ],
            "comparison_reading_bounds": [
              [
                {
                  "numerator": 65438916715565088817666739383684712163,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833431130177635333478767369424331,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 22314670599849139671145395120010884044419,
                  "denominator": 58018143560020008020505370567116480053248
                },
                {
                  "numerator": 44629341199698279342290902329665942589357,
                  "denominator": 116036287120040016041010741134232960106496
                }
              ],
              [
                {
                  "numerator": 65438916714635143881143283213888927275,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 65438916714635143881143283213888927283,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              [
                {
                  "numerator": 22314670598202195117529919644139714841523,
                  "denominator": 58018143560020008020505370567116480053248
                },
                {
                  "numerator": 11157335299101097558765184001358206416173,
                  "denominator": 29009071780010004010252685283558240026624
                }
              ]
            ],
            "nominal_bulk_angle_outer_bounds": null,
            "actual_long_arc_mean_outer_bounds": null,
            "effective_gain_outer_bounds": null,
            "readout_gain_outer_bounds": null,
            "first_window_mean_clock_rate_outer_bounds": null,
            "source_admitted": true,
            "clock_drift_transfer_certified": true,
            "finite_curvature_bound_certified": true,
            "rank_deficient": false,
            "rank_certified": true,
            "inverse_enclosure_available": false,
            "status": "incompatible",
            "unavailable_reasons": [],
            "incompatibility_reasons": [
              "finite_curvature_excludes_the_clock_prior_and_coarse_envelope"
            ],
            "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
            "clock": "tau(s)=integral_0^s rho(u) du; positive C1 rho with supplied bounds",
            "inferred_clock_statistic": "rho_bar_1=(1/H)*integral_0^H rho(s) ds",
            "effective_gain_relation": "J=G*rho_bar_1",
            "complete_observed_rows": [
              "dx/ds=rho(s)*(-A*x+gamma*f(theta))",
              "dtheta/ds=rho(s)*gamma*A*x"
            ],
            "scope": [
              "global_positive_clock_rate_and_C1_derivative_bounds_are_supplied_premises",
              "fixed_complete_two_port_law_and_both_rows_share_one_clock_exposure",
              "four_point_readings_at_zero_H_over_two_H_two_H_are_not_exposure_averages",
              "original_source_and_phase_events_at_zero_and_H_are_preserved",
              "constant_first_window_mean_reference_agrees_exactly_at_zero_and_H",
              "second_event_starts_from_the_same_complete_state_in_both_histories",
              "only_half_time_and_final_reading_bands_receive_clock_comparison_allowances",
              "original_sensor_error_gain_and_offset_premises_remain_unchanged",
              "reference_envelope_is_a_constraint_on_a_comparison_history_not_actual_constant_clock_flow",
              "reference_status_and_reasons_apply_to_the_widened_necessary_constraints",
              "effective_gain_uses_first_window_mean_rate_not_pointwise_clock_rate",
              "original_actual_arc_mean_retains_the_original_phase_radius_over_eight",
              "marginal_intersections_do_not_certify_joint_state_error_or_clock_profile_realizability",
              "no_profile_fit_clock_grid_response_producer_or_cached_report_input",
              "no_physical_clock_calibration_acquisition_or_unique_law_identification"
            ]
          }
        },
        "false_clock": {
          "schema": "tnfr.sine-clock-drift-inference.v1",
          "report": {
            "bulk_angle_bounds": [
              {
                "numerator": 11,
                "denominator": 8
              },
              {
                "numerator": 3,
                "denominator": 2
              }
            ],
            "receiver_short_angle_bounds": [
              {
                "numerator": 2,
                "denominator": 3
              },
              {
                "numerator": 1,
                "denominator": 1
              }
            ],
            "form_radius": {
              "numerator": 1,
              "denominator": 281474976710656
            },
            "phase_radius": {
              "numerator": 1,
              "denominator": 281474976710656
            },
            "phase_increments": [
              {
                "numerator": 1,
                "denominator": 4
              },
              {
                "numerator": 3,
                "denominator": 4
              }
            ],
            "probe_duration": {
              "numerator": 1,
              "denominator": 16777216
            },
            "recorded_reading_bounds": [
              [
                {
                  "numerator": 65438916715565088817666739383684712163,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833431130177635333478767369424331,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 65438916715100116337669862587747588471,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833430200232675339725175495176953,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 65438916714635143881143283213888927275,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 65438916714635143881143283213888927283,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              [
                {
                  "numerator": 65438916710270366913578134379554439399,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 32719458355135183456789067189777219705,
                  "denominator": 85070591730234615865843651857942052864
                }
              ]
            ],
            "readout_error_bound": {
              "numerator": 1,
              "denominator": 1237940039285380274899124224
            },
            "readout_gain_bounds": [
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 2,
                "denominator": 1
              }
            ],
            "clock_rate_bounds": [
              {
                "numerator": 25,
                "denominator": 32
              },
              {
                "numerator": 13,
                "denominator": 16
              }
            ],
            "clock_rate_derivative_bound": {
              "numerator": 1,
              "denominator": 4194304
            },
            "reference_envelope": {
              "bulk_angle_bounds": [
                {
                  "numerator": 11,
                  "denominator": 8
                },
                {
                  "numerator": 3,
                  "denominator": 2
                }
              ],
              "receiver_short_angle_bounds": [
                {
                  "numerator": 2,
                  "denominator": 3
                },
                {
                  "numerator": 1,
                  "denominator": 1
                }
              ],
              "form_radius": {
                "numerator": 1,
                "denominator": 281474976710656
              },
              "phase_radius": {
                "numerator": 1,
                "denominator": 281474976710656
              },
              "phase_increments": [
                {
                  "numerator": 1,
                  "denominator": 4
                },
                {
                  "numerator": 3,
                  "denominator": 4
                }
              ],
              "probe_duration": {
                "numerator": 1,
                "denominator": 16777216
              },
              "recorded_reading_bounds": [
                [
                  {
                    "numerator": 65438916715565088817666739383684712163,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  {
                    "numerator": 130877833431130177635333478767369424331,
                    "denominator": 340282366920938463463374607431768211456
                  }
                ],
                [
                  {
                    "numerator": 18257457763512932458209868734560850930097,
                    "denominator": 47469390185470915653140757736731665498112
                  },
                  {
                    "numerator": 36514915527025864916419829178804606876511,
                    "denominator": 94938780370941831306281515473463330996224
                  }
                ],
                [
                  {
                    "numerator": 65438916714635143881143283213888927275,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  {
                    "numerator": 65438916714635143881143283213888927283,
                    "denominator": 170141183460469231731687303715884105728
                  }
                ],
                [
                  {
                    "numerator": 18257457762165432368888116072529878565825,
                    "denominator": 47469390185470915653140757736731665498112
                  },
                  {
                    "numerator": 9128728881082716184444241455630749310943,
                    "denominator": 23734695092735457826570378868365832749056
                  }
                ]
              ],
              "readout_error_bound": {
                "numerator": 1,
                "denominator": 1237940039285380274899124224
              },
              "readout_gain_bounds": [
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": 2,
                  "denominator": 1
                }
              ],
              "clock_rate_bounds": [
                {
                  "numerator": 25,
                  "denominator": 32
                },
                {
                  "numerator": 13,
                  "denominator": 16
                }
              ],
              "clock_envelope": {
                "bulk_angle_bounds": [
                  {
                    "numerator": 11,
                    "denominator": 8
                  },
                  {
                    "numerator": 3,
                    "denominator": 2
                  }
                ],
                "receiver_short_angle_bounds": [
                  {
                    "numerator": 2,
                    "denominator": 3
                  },
                  {
                    "numerator": 1,
                    "denominator": 1
                  }
                ],
                "form_radius": {
                  "numerator": 1,
                  "denominator": 281474976710656
                },
                "phase_radius": {
                  "numerator": 1,
                  "denominator": 281474976710656
                },
                "phase_increments": [
                  {
                    "numerator": 1,
                    "denominator": 4
                  },
                  {
                    "numerator": 3,
                    "denominator": 4
                  }
                ],
                "probe_duration": {
                  "numerator": 1,
                  "denominator": 16777216
                },
                "recorded_reading_bounds": [
                  [
                    {
                      "numerator": 65438916715565088817666739383684712163,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 130877833431130177635333478767369424331,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  [
                    {
                      "numerator": 65438916714635143881143283213888927275,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 65438916714635143881143283213888927283,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  ],
                  [
                    {
                      "numerator": 18257457762165432368888116072529878565825,
                      "denominator": 47469390185470915653140757736731665498112
                    },
                    {
                      "numerator": 9128728881082716184444241455630749310943,
                      "denominator": 23734695092735457826570378868365832749056
                    }
                  ]
                ],
                "readout_error_bound": {
                  "numerator": 1,
                  "denominator": 1237940039285380274899124224
                },
                "readout_gain_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 1
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "clock_rate_bounds": [
                  {
                    "numerator": 25,
                    "denominator": 32
                  },
                  {
                    "numerator": 13,
                    "denominator": 16
                  }
                ],
                "structural_probe_duration_bounds": [
                  {
                    "numerator": 25,
                    "denominator": 536870912
                  },
                  {
                    "numerator": 13,
                    "denominator": 268435456
                  }
                ],
                "auxiliary_gain_prior_bounds": [
                  {
                    "numerator": 25,
                    "denominator": 26
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "effective_gain_prior_bounds": [
                  {
                    "numerator": 25,
                    "denominator": 32
                  },
                  {
                    "numerator": 13,
                    "denominator": 8
                  }
                ],
                "constraint_envelope": {
                  "bulk_angle_bounds": [
                    {
                      "numerator": 11,
                      "denominator": 8
                    },
                    {
                      "numerator": 3,
                      "denominator": 2
                    }
                  ],
                  "receiver_short_angle_bounds": [
                    {
                      "numerator": 2,
                      "denominator": 3
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    }
                  ],
                  "form_radius": {
                    "numerator": 1,
                    "denominator": 281474976710656
                  },
                  "phase_radius": {
                    "numerator": 1,
                    "denominator": 281474976710656
                  },
                  "phase_increments": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 3,
                      "denominator": 4
                    }
                  ],
                  "probe_duration": {
                    "numerator": 13,
                    "denominator": 268435456
                  },
                  "recorded_reading_bounds": [
                    [
                      {
                        "numerator": 65438916715565088817666739383684712163,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      {
                        "numerator": 130877833431130177635333478767369424331,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    ],
                    [
                      {
                        "numerator": 65438916714635143881143283213888927275,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      {
                        "numerator": 65438916714635143881143283213888927283,
                        "denominator": 170141183460469231731687303715884105728
                      }
                    ],
                    [
                      {
                        "numerator": 18257457762165432368888116072529878565825,
                        "denominator": 47469390185470915653140757736731665498112
                      },
                      {
                        "numerator": 9128728881082716184444241455630749310943,
                        "denominator": 23734695092735457826570378868365832749056
                      }
                    ]
                  ],
                  "readout_error_bound": {
                    "numerator": 1,
                    "denominator": 1237940039285380274899124224
                  },
                  "readout_gain_bounds": [
                    {
                      "numerator": 25,
                      "denominator": 26
                    },
                    {
                      "numerator": 2,
                      "denominator": 1
                    }
                  ],
                  "reference_model": {
                    "storage_scale": 1.0,
                    "epi_weight": 0.9990234375,
                    "phase_weight": 0.0009765625,
                    "phase_domain": "regular"
                  },
                  "geometry": {
                    "nodes": [
                      0,
                      1,
                      2,
                      3,
                      4,
                      5,
                      6,
                      7,
                      8,
                      9,
                      10,
                      11,
                      12,
                      13,
                      14,
                      15,
                      16,
                      17
                    ],
                    "edges": [
                      [
                        0,
                        1
                      ],
                      [
                        0,
                        8
                      ],
                      [
                        0,
                        9
                      ],
                      [
                        1,
                        2
                      ],
                      [
                        1,
                        10
                      ],
                      [
                        2,
                        3
                      ],
                      [
                        3,
                        4
                      ],
                      [
                        4,
                        5
                      ],
                      [
                        5,
                        6
                      ],
                      [
                        6,
                        7
                      ],
                      [
                        7,
                        8
                      ],
                      [
                        9,
                        10
                      ],
                      [
                        9,
                        17
                      ],
                      [
                        10,
                        11
                      ],
                      [
                        11,
                        12
                      ],
                      [
                        12,
                        13
                      ],
                      [
                        13,
                        14
                      ],
                      [
                        14,
                        15
                      ],
                      [
                        15,
                        16
                      ],
                      [
                        16,
                        17
                      ]
                    ],
                    "incidence": [
                      [
                        -1,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        1,
                        0,
                        0,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1
                      ]
                    ],
                    "tree_edge_indices": [
                      0,
                      1,
                      2,
                      3,
                      4,
                      10,
                      12,
                      5,
                      13,
                      9,
                      19,
                      6,
                      14,
                      8,
                      18,
                      15,
                      17
                    ],
                    "fundamental_cycles": [
                      [
                        4,
                        5,
                        6,
                        7,
                        8,
                        0,
                        1,
                        2,
                        3
                      ],
                      [
                        9,
                        10,
                        1,
                        0
                      ],
                      [
                        13,
                        14,
                        15,
                        16,
                        17,
                        9,
                        0,
                        1,
                        10,
                        11,
                        12
                      ]
                    ],
                    "cycle_rows": [
                      [
                        1,
                        -1,
                        0,
                        1,
                        0,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        -1,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        1,
                        0,
                        -1,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        -1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1
                      ]
                    ],
                    "bridge_edge_indices": [],
                    "cycle_rank": 3,
                    "short_cycle_span_rank": 1,
                    "scope": [
                      "connected_simple_undirected_phase_support_without_self_loops",
                      "node_order_and_cycle_basis_are_coordinates_not_physical_selectors",
                      "all_support_edges_retained_independently_of_transport_weights",
                      "integer_fundamental_cycles_and_exact_rational_short_cycle_rank",
                      "32_node_50_edge_evaluation_budget_is_not_a_physical_restriction",
                      "no_graph_write_live_phase_admission_or_trajectory_claim"
                    ]
                  },
                  "degrees": [
                    3,
                    3,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    3,
                    3,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2
                  ],
                  "nodal_angle_affine_coefficients": [
                    [
                      {
                        "numerator": -61,
                        "denominator": 20
                      },
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -4,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -3,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -21,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": -21,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": -4,
                        "denominator": 5
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": -11,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 4
                      }
                    ],
                    [
                      {
                        "numerator": -3,
                        "denominator": 10
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 5
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 9,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 4
                      }
                    ],
                    [
                      {
                        "numerator": 7,
                        "denominator": 10
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -3,
                        "denominator": 8
                      }
                    ]
                  ],
                  "edge_angle_affine_coefficients": [
                    [
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": -8,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -4,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -2,
                        "denominator": 1
                      },
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ]
                  ],
                  "edge_integer_offsets": [
                    0,
                    2,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    1,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0
                  ],
                  "named_cycle_periods": [
                    {
                      "numerator": 2,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "laplacian": [
                    [
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_laplacian": [
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_upper_slack_matrix": [
                    [
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_sine_symbol_coefficients": [
                    [
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ]
                  ],
                  "readout_forcing_moments": [
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ]
                  ],
                  "dipole": [
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": -1,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "nominal_edge_angle_bounds": [
                    {
                      "lo": {
                        "numerator": 12045370825537839367389137716641537233,
                        "denominator": 21267647932558653966460912964485513216
                      },
                      "hi": {
                        "numerator": 133252075032385973335400202724508201797,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    },
                    {
                      "lo": {
                        "numerator": -3,
                        "denominator": 2
                      },
                      "hi": {
                        "numerator": -11,
                        "denominator": 8
                      }
                    },
                    {
                      "lo": {
                        "numerator": -9222277107020814599071775247843975983,
                        "denominator": 42535295865117307932921825928971026432
                      },
                      "hi": {
                        "numerator": 153076694424459125516342202971760333109,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": -153076694424459125516342202971760333109,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 9222277107020814599071775247843975983,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 113427455640312821154458202477256070485,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 1,
                        "denominator": 1
                      }
                    },
                    {
                      "lo": {
                        "numerator": -238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": -224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "nominal_acute_margin": {
                    "numerator": 752995951469740294119687841451292231,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "source_acute_margin": {
                    "numerator": 752995951469135831209880526863939143,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "total_duration": {
                    "numerator": 13,
                    "denominator": 134217728
                  },
                  "actual_phase_jumps": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 1,
                      "denominator": 2
                    }
                  ],
                  "whole_window_form_norm_candidate": {
                    "numerator": 39305657092738685913,
                    "denominator": 177915365026239129689677365248
                  },
                  "whole_window_phase_norm_candidate": {
                    "numerator": 266873047539359326619348016089,
                    "denominator": 177915365026239129689677365248
                  },
                  "whole_window_acute_margin_candidate": {
                    "numerator": -10793716095085058921368643274465907674442698781821008573027551,
                    "denominator": 7217104616490770104691307641889817338142354302270589093543936
                  },
                  "finite_remainder_candidate": {
                    "numerator": 784088904623049083728891,
                    "denominator": 36642933269587594992290543039992213536768
                  },
                  "finite_remainder_upper_bound": {
                    "numerator": 784088904623049083728891,
                    "denominator": 36642933269587594992290543039992213536768
                  },
                  "gamma_bounds": {
                    "lo": {
                      "numerator": 3308750045361523034179564622145679,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": 105880001451568737093746067908661729,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "response_scale_bounds": [
                    {
                      "lo": {
                        "numerator": 3756226352206662949804149335,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 3756226352206662949804149337,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 9253004373966926061949849465,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 9253004373966926061949849467,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "response_matrix_bounds": [
                    [
                      {
                        "lo": {
                          "numerator": 3726919024244783113416255285,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 465864878030597889177031911,
                          "denominator": 42535295865117307932921825928971026432
                        }
                      },
                      {
                        "lo": {
                          "numerator": 29269157437245754044104317,
                          "denominator": 21267647932558653966460912964485513216
                        },
                        "hi": {
                          "numerator": 468306518995932064705669073,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": 4304995547782103414513248733,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 8609991095564206829026497469,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 3389121313697126232819099779,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 3389121313697126232819099781,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ]
                  ],
                  "determinant_angle_factor_bounds": {
                    "lo": {
                      "numerator": 21046801210185120193770697126998656397,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 84187204840740480775082788507994625591,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "determinant_bounds": {
                    "lo": {
                      "numerator": 25269795254890521,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 12634897627445261,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  "inverse_matrix_bounds": [
                    [
                      {
                        "lo": {
                          "numerator": 45637814266970200251409947853326908955477086641443,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 45637814266970200251409947877626730101952172084059,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": -6306202686687798761216441284145612774638988966165,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": -3153101343343899380608220641391276104295543873145,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": -28985475739062191636610395096057050517845870453133,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": -115941902956248766546441580322495019832916839395035,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 50186588933570827519843968600987595332673204949607,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 25093294466785413759921984305917613209307468113617,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      }
                    ]
                  ],
                  "inverse_row_sum_upper_bounds": [
                    {
                      "numerator": 3246501059603624938289149322610771429786947565639,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    {
                      "numerator": 83064245944909797033142774498031714244999209019883,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  ],
                  "reading_midpoints": [
                    {
                      "numerator": 261755666862260355270666957534738848657,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": 65438916714635143881143283213888927279,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 130877833420540733827156268759108878809,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  "reading_radii": [
                    {
                      "numerator": 5,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": 1,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    {
                      "numerator": 366838731620056061,
                      "denominator": 94938780370941831306281515473463330996224
                    }
                  ],
                  "recorded_increment_midpoints": [
                    {
                      "numerator": -3719779746093824679183139541,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": -8729553935130297668668975749,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  "transformed_reading_coefficients": [
                    [
                      {
                        "lo": {
                          "numerator": 45637814266970200251409947853326908955477086641443,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 45637814266970200251409947877626730101952172084059,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": -3246501059603624938289149322610771429786947565639,
                          "denominator": 21267647932558653966460912964485513216
                        },
                        "hi": {
                          "numerator": -51944016953657999012626389136109461164068174387733,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 3153101343343899380608220641391276104295543873145,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 6306202686687798761216441284145612774638988966165,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": -28985475739062191636610395096057050517845870453133,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": -115941902956248766546441580322495019832916839395035,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 83064245944909797033142774461741307582795022172321,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 83064245944909797033142774498031714244999209019883,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": -25093294466785413759921984305917613209307468113617,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": -50186588933570827519843968600987595332673204949607,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ]
                  ],
                  "transformed_centers": [
                    {
                      "lo": {
                        "numerator": 87665347968970717463707735856107600323,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 87665347968970717463707736158008980617,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 163443205828376938480742733469865915379,
                        "denominator": 85070591730234615865843651857942052864
                      },
                      "hi": {
                        "numerator": 653772823313507753922970934835886431849,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "transformed_observation_error_radii": [
                    {
                      "numerator": 4642653330974248760472414759938859403442356093787394361438758503267,
                      "denominator": 64611985794422437046352609634847852582124651443427434734017331876415526339084288
                    },
                    {
                      "numerator": 256053690664162941216009466177363132660601826308329990841580618779,
                      "denominator": 448694345794600257266337566908665642931421190579357185652898138030663377354752
                    }
                  ],
                  "transformed_flow_error_radii": [
                    {
                      "numerator": 848515153227391487600372997523584682724463104801931978008433085701058783,
                      "denominator": 129884833998971555524076530625870450442641794574225864742962283011591160987648
                    },
                    {
                      "numerator": 65129753616283869461186668581927810107961532193176604421547150379000539753,
                      "denominator": 3117236015975317332577836735020890810623403069781420753831094792278187863703552
                    }
                  ],
                  "raw_transformed_bounds": [
                    {
                      "lo": {
                        "numerator": 21915781240776179107480825525320206065,
                        "denominator": 85070591730234615865843651857942052864
                      },
                      "hi": {
                        "numerator": 10958446371854589812186521239104469585,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 653765713647377478962764850534176173985,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 163444983244909507220794254545293479845,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    }
                  ],
                  "prior_transformed_bounds": [
                    {
                      "lo": {
                        "numerator": 23144829243124713311007393378922943885,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 16550288638384032083354480997374461905,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 320942895327071617123467963020339089275,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 42428744379174680903648820235267800471,
                        "denominator": 21267647932558653966460912964485513216
                      }
                    }
                  ],
                  "transformed_coordinate_bounds": [
                    {
                      "lo": {
                        "numerator": 21915781240776179107480825525320206065,
                        "denominator": 85070591730234615865843651857942052864
                      },
                      "hi": {
                        "numerator": 10958446371854589812186521239104469585,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 653765713647377478962764850534176173985,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 163444983244909507220794254545293479845,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    }
                  ],
                  "nominal_bulk_angle_outer_bounds": {
                    "lo": {
                      "numerator": 489154275300033930416939822509853875941,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 489157523416877056615415766850940788717,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "actual_long_arc_mean_outer_bounds": {
                    "lo": {
                      "numerator": 489154275300033779301212370681207037669,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 489157523416877207731143218679587626989,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "readout_gain_outer_bounds": {
                    "lo": {
                      "numerator": 659616882606230509250659383622515082371,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 659631566685136761459349495793794177063,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "source_admitted": true,
                  "finite_response_certified": true,
                  "rank_deficient": false,
                  "rank_certified": true,
                  "whole_window_acute_certified": false,
                  "inverse_enclosure_available": true,
                  "status": "bounded_candidate",
                  "unavailable_reasons": [],
                  "incompatibility_reasons": [],
                  "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
                  "law": "normalized_sine_reciprocal_exchange",
                  "clock": "tau=e*t",
                  "capacity": [
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    }
                  ],
                  "transformed_coordinate_order": [
                    "gain_times_cos_bulk",
                    "gain_times_sin_bulk"
                  ],
                  "scope": [
                    "same_noncritical_affine_source_family_and_full_two_port_sine_law",
                    "two_successive_equal_windows_without_source_or_equilibrium_reset",
                    "cumulative_amplitudes_determine_first_jump_and_second_amplitude_difference",
                    "three_scalar_readings_share_one_held_positive_gain_and_one_held_offset",
                    "shared_middle_observation_error_retained_before_coordinate_projection",
                    "exact_reading_midpoint_differences_cancel_arbitrary_common_offset",
                    "full_original_source_errors_and_both_evolving_rows_enter_uniform_remainder",
                    "positive_gain_prior_is_supplied_information_not_inferred_physical_calibration",
                    "coordinate_box_can_discard_joint_error_correlations_without_claiming_realizability",
                    "bounded_candidate_gives_necessary_marginals_not_existence_or_point_identification",
                    "actual_pre_probe_arc_mean_expands_nominal_angle_by_original_phase_radius_over_eight",
                    "leading_rank_failure_does_not_exclude_a_full_nonlinear_response",
                    "no_target_root_trajectory_producer_hidden_source_or_cached_report_consumed",
                    "whole_window_acuity_is_optional_and_not_an_inverse_admission_gate"
                  ]
                },
                "finite_remainder_over_clock_candidate": {
                  "numerator": 60314531124849929517607,
                  "denominator": 2290183329349224687018158939999513346048
                },
                "finite_remainder_over_clock_upper_bound": {
                  "numerator": 60314531124849929517607,
                  "denominator": 2290183329349224687018158939999513346048
                },
                "nominal_bulk_angle_outer_bounds": {
                  "lo": {
                    "numerator": 489154275300033930416939822509853875941,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 489157523416877056615415766850940788717,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                "actual_long_arc_mean_outer_bounds": {
                  "lo": {
                    "numerator": 489154275300033779301212370681207037669,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 489157523416877207731143218679587626989,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                "effective_gain_outer_bounds": {
                  "lo": {
                    "numerator": 267969358558781144383080374596646752213,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 16748457747864800583928795791639305277,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                "readout_gain_outer_bounds": {
                  "lo": {
                    "numerator": 659616882606230509250659383622515082371,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 2,
                    "denominator": 1
                  }
                },
                "clock_rate_outer_bounds": {
                  "lo": {
                    "numerator": 267969358558781144383080374596646752213,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 13,
                    "denominator": 16
                  }
                },
                "source_admitted": true,
                "finite_response_certified": true,
                "rank_deficient": false,
                "rank_certified": true,
                "whole_window_acute_certified": false,
                "inverse_enclosure_available": true,
                "status": "bounded_candidate",
                "unavailable_reasons": [],
                "incompatibility_reasons": [],
                "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
                "clock": "tau=rho*s; rho is one held positive rate",
                "effective_gain_relation": "J=G*rho",
                "complete_observed_rows": [
                  "dx/ds=rho*(-A*x+gamma*f(theta))",
                  "dtheta/ds=rho*gamma*A*x"
                ],
                "scope": [
                  "fixed_gamma_and_complete_two_port_law_under_one_unknown_constant_clock_rate",
                  "two_events_at_observed_times_zero_and_H_without_source_reset",
                  "auxiliary_envelope_gain_is_L_equal_G_times_rho_over_rho_upper",
                  "auxiliary_upper_duration_is_not_the_actual_unknown_trajectory_duration",
                  "monotone_finite_remainder_over_clock_rate_retains_full_flow_dependence",
                  "three_reading_errors_remain_in_sensor_units_without_clock_division",
                  "effective_gain_J_is_G_times_rho_not_sensor_gain_alone",
                  "separate_gain_and_clock_bounds_project_one_necessary_product_relation",
                  "coordinate_product_need_not_be_jointly_realizable",
                  "no_exact_full_flow_gain_clock_symmetry_or_separate_point_identification",
                  "original_source_actual_arc_mean_retains_original_phase_radius_over_eight",
                  "no_acquisition_calibration_trajectory_producer_or_physical_identification"
                ]
              },
              "observation_times": [
                {
                  "numerator": 0,
                  "denominator": 1
                },
                {
                  "numerator": 1,
                  "denominator": 33554432
                },
                {
                  "numerator": 1,
                  "denominator": 16777216
                },
                {
                  "numerator": 1,
                  "denominator": 8388608
                }
              ],
              "reading_midpoints": [
                {
                  "numerator": 261755666862260355270666957534738848657,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 261755666860400465350679450350990353895,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 65438916714635143881143283213888927279,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833420540733827156268759108878809,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              "reading_radii": [
                {
                  "numerator": 5,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 91709682905016317,
                  "denominator": 189877560741883662612563030946926661992448
                },
                {
                  "numerator": 1,
                  "denominator": 42535295865117307932921825928971026432
                },
                {
                  "numerator": 366838731620056061,
                  "denominator": 94938780370941831306281515473463330996224
                }
              ],
              "curvature_midpoint": {
                "numerator": 93881189688313849983,
                "denominator": 680564733841876926926749214863536422912
              },
              "curvature_observation_radius": {
                "numerator": 184032893298337501,
                "denominator": 189877560741883662612563030946926661992448
              },
              "sensor_corrected_curvature_bounds": {
                "lo": {
                  "numerator": 23470132518052209505,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 46940924652209430973,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "embedded_inverse_reading_coefficients": [
                [
                  {
                    "lo": {
                      "numerator": 45637814266970200251409947853326908955477086641443,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 45637814266970200251409947877626730101952172084059,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 0,
                      "denominator": 1
                    },
                    "hi": {
                      "numerator": 0,
                      "denominator": 1
                    }
                  },
                  {
                    "lo": {
                      "numerator": -3246501059603624938289149322610771429786947565639,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": -51944016953657999012626389136109461164068174387733,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 3153101343343899380608220641391276104295543873145,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 6306202686687798761216441284145612774638988966165,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -28985475739062191636610395096057050517845870453133,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -115941902956248766546441580322495019832916839395035,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 0,
                      "denominator": 1
                    },
                    "hi": {
                      "numerator": 0,
                      "denominator": 1
                    }
                  },
                  {
                    "lo": {
                      "numerator": 83064245944909797033142774461741307582795022172321,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 83064245944909797033142774498031714244999209019883,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -25093294466785413759921984305917613209307468113617,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -50186588933570827519843968600987595332673204949607,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ]
              ],
              "first_window_sine_norm_candidate": {
                "numerator": 444788412565598456309025381337,
                "denominator": 88957682513119564844838682624
              },
              "initial_curvature_error_candidate": {
                "numerator": 9421831,
                "denominator": 662786383279558754304
              },
              "third_derivative_bound_candidate": {
                "numerator": 745351039391091342117917939661206914037062736163405394140691725809,
                "denominator": 114374073832460296646302527340470511775445672618541247126818302984192
              },
              "normalized_curvature_error_candidate": {
                "numerator": 125975673218706959700674173645932794258882512607354441983395129140249,
                "denominator": 982465813241412714628655668498933410655844119442714679273477151702647689969664
              },
              "normalized_curvature_error_upper_bound": {
                "numerator": 125975673218706959700674173645932794258882512607354441983395129140249,
                "denominator": 982465813241412714628655668498933410655844119442714679273477151702647689969664
              },
              "effective_gain_denominator_bounds": [
                {
                  "numerator": 267969358558781144383080374596646752213,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 16748457747864800583928795791639305277,
                  "denominator": 10633823966279326983230456482242756608
                }
              ],
              "curvature_coefficient_bounds": {
                "lo": {
                  "numerator": 29826722864623041830628473385385917,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 7457018125119369955972977772608353,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              "normalized_curvature_observation_bounds": {
                "lo": {
                  "numerator": 33555210322305570751451416273120189,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 33556428849052878491567291466506863,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "clock_rate_constraint_bounds": {
                "lo": {
                  "numerator": 191400760868794859964851017409035529853,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 382833740512451117481462832539077725227,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "nominal_bulk_angle_outer_bounds": null,
              "actual_long_arc_mean_outer_bounds": null,
              "effective_gain_outer_bounds": null,
              "readout_gain_outer_bounds": null,
              "clock_rate_outer_bounds": null,
              "source_admitted": true,
              "finite_curvature_bound_certified": true,
              "base_inverse_enclosure_available": true,
              "curvature_coefficient_positive": true,
              "curvature_refinement_available": false,
              "inverse_enclosure_available": false,
              "status": "incompatible",
              "unavailable_reasons": [],
              "incompatibility_reasons": [
                "finite_curvature_excludes_the_clock_prior_and_coarse_envelope"
              ],
              "curvature_reading_coefficients": [
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": -2,
                  "denominator": 1
                },
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": 0,
                  "denominator": 1
                }
              ],
              "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
              "clock": "tau=rho*s; rho is one held positive rate",
              "effective_gain_relation": "J=G*rho",
              "scope": [
                "four_readings_on_one_complete_two_pulse_trajectory_at_zero_H_over_two_H_two_H",
                "first_and_second_phase_events_remain_at_zero_and_H_without_reset",
                "finite_second_difference_is_not_a_supplied_derivative_observation",
                "all_four_readings_are_admitted_before_the_three_reading_clock_envelope",
                "exact_midpoint_second_difference_cancels_arbitrary_held_offset",
                "four_reading_error_coefficients_are_retained_before_marginal_relaxation",
                "complete_initial_state_error_and_third_derivative_remainder_are_retained",
                "clock_refinement_uses_positive_factors_and_exact_endpoint_division",
                "necessary_constraint_intersection_does_not_assert_joint_error_or_state_realizability",
                "original_angle_and_actual_pre_probe_arc_mean_remain_the_child_statistics",
                "unavailable_refinement_retains_the_coarse_clock_report_separately",
                "no_clock_grid_shooting_repeated_fit_or_additional_response_evaluation",
                "no_physical_calibration_source_acquisition_or_unique_law_identification"
              ]
            },
            "observation_times": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 33554432
              },
              {
                "numerator": 1,
                "denominator": 16777216
              },
              {
                "numerator": 1,
                "denominator": 8388608
              }
            ],
            "structural_duration_upper_bound": {
              "numerator": 13,
              "denominator": 134217728
            },
            "whole_window_form_norm_candidate": {
              "numerator": 190843901,
              "denominator": 863846703525003264
            },
            "whole_window_form_norm_upper_bound": {
              "numerator": 190843901,
              "denominator": 863846703525003264
            },
            "structural_readout_speed_candidate": {
              "numerator": 89560237211927,
              "denominator": 39265759251136512
            },
            "structural_readout_speed_upper_bound": {
              "numerator": 89560237211927,
              "denominator": 39265759251136512
            },
            "exposure_discrepancy_bounds": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 9444732965739290427392
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1180591620717411303424
              }
            ],
            "recorded_discrepancy_candidates": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 89560237211927,
                "denominator": 185427305411995764270081084909108068352
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 89560237211927,
                "denominator": 23178413176499470533760135613638508544
              }
            ],
            "recorded_discrepancy_upper_bounds": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 89560237211927,
                "denominator": 185427305411995764270081084909108068352
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 89560237211927,
                "denominator": 23178413176499470533760135613638508544
              }
            ],
            "comparison_reading_bounds": [
              [
                {
                  "numerator": 65438916715565088817666739383684712163,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833431130177635333478767369424331,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 18257457763512932458209868734560850930097,
                  "denominator": 47469390185470915653140757736731665498112
                },
                {
                  "numerator": 36514915527025864916419829178804606876511,
                  "denominator": 94938780370941831306281515473463330996224
                }
              ],
              [
                {
                  "numerator": 65438916714635143881143283213888927275,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 65438916714635143881143283213888927283,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              [
                {
                  "numerator": 18257457762165432368888116072529878565825,
                  "denominator": 47469390185470915653140757736731665498112
                },
                {
                  "numerator": 9128728881082716184444241455630749310943,
                  "denominator": 23734695092735457826570378868365832749056
                }
              ]
            ],
            "nominal_bulk_angle_outer_bounds": null,
            "actual_long_arc_mean_outer_bounds": null,
            "effective_gain_outer_bounds": null,
            "readout_gain_outer_bounds": null,
            "first_window_mean_clock_rate_outer_bounds": null,
            "source_admitted": true,
            "clock_drift_transfer_certified": true,
            "finite_curvature_bound_certified": true,
            "rank_deficient": false,
            "rank_certified": true,
            "inverse_enclosure_available": false,
            "status": "incompatible",
            "unavailable_reasons": [],
            "incompatibility_reasons": [
              "finite_curvature_excludes_the_clock_prior_and_coarse_envelope"
            ],
            "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
            "clock": "tau(s)=integral_0^s rho(u) du; positive C1 rho with supplied bounds",
            "inferred_clock_statistic": "rho_bar_1=(1/H)*integral_0^H rho(s) ds",
            "effective_gain_relation": "J=G*rho_bar_1",
            "complete_observed_rows": [
              "dx/ds=rho(s)*(-A*x+gamma*f(theta))",
              "dtheta/ds=rho(s)*gamma*A*x"
            ],
            "scope": [
              "global_positive_clock_rate_and_C1_derivative_bounds_are_supplied_premises",
              "fixed_complete_two_port_law_and_both_rows_share_one_clock_exposure",
              "four_point_readings_at_zero_H_over_two_H_two_H_are_not_exposure_averages",
              "original_source_and_phase_events_at_zero_and_H_are_preserved",
              "constant_first_window_mean_reference_agrees_exactly_at_zero_and_H",
              "second_event_starts_from_the_same_complete_state_in_both_histories",
              "only_half_time_and_final_reading_bands_receive_clock_comparison_allowances",
              "original_sensor_error_gain_and_offset_premises_remain_unchanged",
              "reference_envelope_is_a_constraint_on_a_comparison_history_not_actual_constant_clock_flow",
              "reference_status_and_reasons_apply_to_the_widened_necessary_constraints",
              "effective_gain_uses_first_window_mean_rate_not_pointwise_clock_rate",
              "original_actual_arc_mean_retains_the_original_phase_radius_over_eight",
              "marginal_intersections_do_not_certify_joint_state_error_or_clock_profile_realizability",
              "no_profile_fit_clock_grid_response_producer_or_cached_report_input",
              "no_physical_clock_calibration_acquisition_or_unique_law_identification"
            ]
          }
        },
        "equal_inputs": {
          "schema": "tnfr.sine-clock-drift-inference.v1",
          "report": {
            "bulk_angle_bounds": [
              {
                "numerator": 11,
                "denominator": 8
              },
              {
                "numerator": 3,
                "denominator": 2
              }
            ],
            "receiver_short_angle_bounds": [
              {
                "numerator": 2,
                "denominator": 3
              },
              {
                "numerator": 1,
                "denominator": 1
              }
            ],
            "form_radius": {
              "numerator": 1,
              "denominator": 281474976710656
            },
            "phase_radius": {
              "numerator": 1,
              "denominator": 281474976710656
            },
            "phase_increments": [
              {
                "numerator": 1,
                "denominator": 4
              },
              {
                "numerator": 1,
                "denominator": 4
              }
            ],
            "probe_duration": {
              "numerator": 1,
              "denominator": 16777216
            },
            "recorded_reading_bounds": [
              [
                {
                  "numerator": 65438916715565088817666739383684712163,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833431130177635333478767369424331,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 65438916715100116337669862587747588471,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833430200232675339725175495176953,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 65438916714635143881143283213888927275,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 65438916714635143881143283213888927283,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              [
                {
                  "numerator": 65438916710270366913578134379554439399,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 32719458355135183456789067189777219705,
                  "denominator": 85070591730234615865843651857942052864
                }
              ]
            ],
            "readout_error_bound": {
              "numerator": 1,
              "denominator": 1237940039285380274899124224
            },
            "readout_gain_bounds": [
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 2,
                "denominator": 1
              }
            ],
            "clock_rate_bounds": [
              {
                "numerator": 1,
                "denominator": 2
              },
              {
                "numerator": 2,
                "denominator": 1
              }
            ],
            "clock_rate_derivative_bound": {
              "numerator": 1,
              "denominator": 4194304
            },
            "reference_envelope": {
              "bulk_angle_bounds": [
                {
                  "numerator": 11,
                  "denominator": 8
                },
                {
                  "numerator": 3,
                  "denominator": 2
                }
              ],
              "receiver_short_angle_bounds": [
                {
                  "numerator": 2,
                  "denominator": 3
                },
                {
                  "numerator": 1,
                  "denominator": 1
                }
              ],
              "form_radius": {
                "numerator": 1,
                "denominator": 281474976710656
              },
              "phase_radius": {
                "numerator": 1,
                "denominator": 281474976710656
              },
              "phase_increments": [
                {
                  "numerator": 1,
                  "denominator": 4
                },
                {
                  "numerator": 1,
                  "denominator": 4
                }
              ],
              "probe_duration": {
                "numerator": 1,
                "denominator": 16777216
              },
              "recorded_reading_bounds": [
                [
                  {
                    "numerator": 65438916715565088817666739383684712163,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  {
                    "numerator": 130877833431130177635333478767369424331,
                    "denominator": 340282366920938463463374607431768211456
                  }
                ],
                [
                  {
                    "numerator": 22314670599849139671145395120010884044419,
                    "denominator": 58018143560020008020505370567116480053248
                  },
                  {
                    "numerator": 44629341199698279342290902329665942589357,
                    "denominator": 116036287120040016041010741134232960106496
                  }
                ],
                [
                  {
                    "numerator": 65438916714635143881143283213888927275,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  {
                    "numerator": 65438916714635143881143283213888927283,
                    "denominator": 170141183460469231731687303715884105728
                  }
                ],
                [
                  {
                    "numerator": 22314670598202195117529919644139714841523,
                    "denominator": 58018143560020008020505370567116480053248
                  },
                  {
                    "numerator": 11157335299101097558765184001358206416173,
                    "denominator": 29009071780010004010252685283558240026624
                  }
                ]
              ],
              "readout_error_bound": {
                "numerator": 1,
                "denominator": 1237940039285380274899124224
              },
              "readout_gain_bounds": [
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": 2,
                  "denominator": 1
                }
              ],
              "clock_rate_bounds": [
                {
                  "numerator": 1,
                  "denominator": 2
                },
                {
                  "numerator": 2,
                  "denominator": 1
                }
              ],
              "clock_envelope": {
                "bulk_angle_bounds": [
                  {
                    "numerator": 11,
                    "denominator": 8
                  },
                  {
                    "numerator": 3,
                    "denominator": 2
                  }
                ],
                "receiver_short_angle_bounds": [
                  {
                    "numerator": 2,
                    "denominator": 3
                  },
                  {
                    "numerator": 1,
                    "denominator": 1
                  }
                ],
                "form_radius": {
                  "numerator": 1,
                  "denominator": 281474976710656
                },
                "phase_radius": {
                  "numerator": 1,
                  "denominator": 281474976710656
                },
                "phase_increments": [
                  {
                    "numerator": 1,
                    "denominator": 4
                  },
                  {
                    "numerator": 1,
                    "denominator": 4
                  }
                ],
                "probe_duration": {
                  "numerator": 1,
                  "denominator": 16777216
                },
                "recorded_reading_bounds": [
                  [
                    {
                      "numerator": 65438916715565088817666739383684712163,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 130877833431130177635333478767369424331,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  [
                    {
                      "numerator": 65438916714635143881143283213888927275,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 65438916714635143881143283213888927283,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  ],
                  [
                    {
                      "numerator": 22314670598202195117529919644139714841523,
                      "denominator": 58018143560020008020505370567116480053248
                    },
                    {
                      "numerator": 11157335299101097558765184001358206416173,
                      "denominator": 29009071780010004010252685283558240026624
                    }
                  ]
                ],
                "readout_error_bound": {
                  "numerator": 1,
                  "denominator": 1237940039285380274899124224
                },
                "readout_gain_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 1
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "clock_rate_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 2
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "structural_probe_duration_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 33554432
                  },
                  {
                    "numerator": 1,
                    "denominator": 8388608
                  }
                ],
                "auxiliary_gain_prior_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 4
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "effective_gain_prior_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 2
                  },
                  {
                    "numerator": 4,
                    "denominator": 1
                  }
                ],
                "constraint_envelope": {
                  "bulk_angle_bounds": [
                    {
                      "numerator": 11,
                      "denominator": 8
                    },
                    {
                      "numerator": 3,
                      "denominator": 2
                    }
                  ],
                  "receiver_short_angle_bounds": [
                    {
                      "numerator": 2,
                      "denominator": 3
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    }
                  ],
                  "form_radius": {
                    "numerator": 1,
                    "denominator": 281474976710656
                  },
                  "phase_radius": {
                    "numerator": 1,
                    "denominator": 281474976710656
                  },
                  "phase_increments": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 1,
                      "denominator": 4
                    }
                  ],
                  "probe_duration": {
                    "numerator": 1,
                    "denominator": 8388608
                  },
                  "recorded_reading_bounds": [
                    [
                      {
                        "numerator": 65438916715565088817666739383684712163,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      {
                        "numerator": 130877833431130177635333478767369424331,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    ],
                    [
                      {
                        "numerator": 65438916714635143881143283213888927275,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      {
                        "numerator": 65438916714635143881143283213888927283,
                        "denominator": 170141183460469231731687303715884105728
                      }
                    ],
                    [
                      {
                        "numerator": 22314670598202195117529919644139714841523,
                        "denominator": 58018143560020008020505370567116480053248
                      },
                      {
                        "numerator": 11157335299101097558765184001358206416173,
                        "denominator": 29009071780010004010252685283558240026624
                      }
                    ]
                  ],
                  "readout_error_bound": {
                    "numerator": 1,
                    "denominator": 1237940039285380274899124224
                  },
                  "readout_gain_bounds": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 2,
                      "denominator": 1
                    }
                  ],
                  "reference_model": {
                    "storage_scale": 1.0,
                    "epi_weight": 0.9990234375,
                    "phase_weight": 0.0009765625,
                    "phase_domain": "regular"
                  },
                  "geometry": {
                    "nodes": [
                      0,
                      1,
                      2,
                      3,
                      4,
                      5,
                      6,
                      7,
                      8,
                      9,
                      10,
                      11,
                      12,
                      13,
                      14,
                      15,
                      16,
                      17
                    ],
                    "edges": [
                      [
                        0,
                        1
                      ],
                      [
                        0,
                        8
                      ],
                      [
                        0,
                        9
                      ],
                      [
                        1,
                        2
                      ],
                      [
                        1,
                        10
                      ],
                      [
                        2,
                        3
                      ],
                      [
                        3,
                        4
                      ],
                      [
                        4,
                        5
                      ],
                      [
                        5,
                        6
                      ],
                      [
                        6,
                        7
                      ],
                      [
                        7,
                        8
                      ],
                      [
                        9,
                        10
                      ],
                      [
                        9,
                        17
                      ],
                      [
                        10,
                        11
                      ],
                      [
                        11,
                        12
                      ],
                      [
                        12,
                        13
                      ],
                      [
                        13,
                        14
                      ],
                      [
                        14,
                        15
                      ],
                      [
                        15,
                        16
                      ],
                      [
                        16,
                        17
                      ]
                    ],
                    "incidence": [
                      [
                        -1,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        1,
                        0,
                        0,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1
                      ]
                    ],
                    "tree_edge_indices": [
                      0,
                      1,
                      2,
                      3,
                      4,
                      10,
                      12,
                      5,
                      13,
                      9,
                      19,
                      6,
                      14,
                      8,
                      18,
                      15,
                      17
                    ],
                    "fundamental_cycles": [
                      [
                        4,
                        5,
                        6,
                        7,
                        8,
                        0,
                        1,
                        2,
                        3
                      ],
                      [
                        9,
                        10,
                        1,
                        0
                      ],
                      [
                        13,
                        14,
                        15,
                        16,
                        17,
                        9,
                        0,
                        1,
                        10,
                        11,
                        12
                      ]
                    ],
                    "cycle_rows": [
                      [
                        1,
                        -1,
                        0,
                        1,
                        0,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        -1,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        1,
                        0,
                        -1,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        -1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1
                      ]
                    ],
                    "bridge_edge_indices": [],
                    "cycle_rank": 3,
                    "short_cycle_span_rank": 1,
                    "scope": [
                      "connected_simple_undirected_phase_support_without_self_loops",
                      "node_order_and_cycle_basis_are_coordinates_not_physical_selectors",
                      "all_support_edges_retained_independently_of_transport_weights",
                      "integer_fundamental_cycles_and_exact_rational_short_cycle_rank",
                      "32_node_50_edge_evaluation_budget_is_not_a_physical_restriction",
                      "no_graph_write_live_phase_admission_or_trajectory_claim"
                    ]
                  },
                  "degrees": [
                    3,
                    3,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    3,
                    3,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2
                  ],
                  "nodal_angle_affine_coefficients": [
                    [
                      {
                        "numerator": -61,
                        "denominator": 20
                      },
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -4,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -3,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -21,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": -21,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": -4,
                        "denominator": 5
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": -11,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 4
                      }
                    ],
                    [
                      {
                        "numerator": -3,
                        "denominator": 10
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 5
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 9,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 4
                      }
                    ],
                    [
                      {
                        "numerator": 7,
                        "denominator": 10
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -3,
                        "denominator": 8
                      }
                    ]
                  ],
                  "edge_angle_affine_coefficients": [
                    [
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": -8,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -4,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -2,
                        "denominator": 1
                      },
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ]
                  ],
                  "edge_integer_offsets": [
                    0,
                    2,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    1,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0
                  ],
                  "named_cycle_periods": [
                    {
                      "numerator": 2,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "laplacian": [
                    [
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_laplacian": [
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_upper_slack_matrix": [
                    [
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_sine_symbol_coefficients": [
                    [
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ]
                  ],
                  "readout_forcing_moments": [
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ]
                  ],
                  "dipole": [
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": -1,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "nominal_edge_angle_bounds": [
                    {
                      "lo": {
                        "numerator": 12045370825537839367389137716641537233,
                        "denominator": 21267647932558653966460912964485513216
                      },
                      "hi": {
                        "numerator": 133252075032385973335400202724508201797,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    },
                    {
                      "lo": {
                        "numerator": -3,
                        "denominator": 2
                      },
                      "hi": {
                        "numerator": -11,
                        "denominator": 8
                      }
                    },
                    {
                      "lo": {
                        "numerator": -9222277107020814599071775247843975983,
                        "denominator": 42535295865117307932921825928971026432
                      },
                      "hi": {
                        "numerator": 153076694424459125516342202971760333109,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": -153076694424459125516342202971760333109,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 9222277107020814599071775247843975983,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 113427455640312821154458202477256070485,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 1,
                        "denominator": 1
                      }
                    },
                    {
                      "lo": {
                        "numerator": -238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": -224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "nominal_acute_margin": {
                    "numerator": 752995951469740294119687841451292231,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "source_acute_margin": {
                    "numerator": 752995951469135831209880526863939143,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "total_duration": {
                    "numerator": 1,
                    "denominator": 4194304
                  },
                  "actual_phase_jumps": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "whole_window_form_norm_candidate": {
                    "numerator": 2159636511385979901,
                    "denominator": 5559855157069972802690351104
                  },
                  "whole_window_phase_norm_candidate": {
                    "numerator": 2779927578535006154254191613,
                    "denominator": 5559855157069972802690351104
                  },
                  "whole_window_acute_margin_candidate": {
                    "numerator": -3492784647064735172793134153517922702554155399665407440455,
                    "denominator": 7047953727041767680220543876983511860363048493743660335104
                  },
                  "finite_remainder_candidate": {
                    "numerator": 3313962236598240666115,
                    "denominator": 35784114521081635733937455184060874752
                  },
                  "finite_remainder_upper_bound": {
                    "numerator": 3313962236598240666115,
                    "denominator": 35784114521081635733937455184060874752
                  },
                  "gamma_bounds": {
                    "lo": {
                      "numerator": 3308750045361523034179564622145679,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": 105880001451568737093746067908661729,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "response_scale_bounds": [
                    {
                      "lo": {
                        "numerator": 9246095636201016491825598365,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 9246095636201016491825598367,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 9246095636201016491825598365,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 9246095636201016491825598367,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "response_matrix_bounds": [
                    [
                      {
                        "lo": {
                          "numerator": 4586977260608963831896929583,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 9173954521217927663793859169,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 288188627074419732126565583,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": 1152754508297678928506262333,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": 4586977260608963831896929583,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 9173954521217927663793859169,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 288188627074419732126565583,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": 1152754508297678928506262333,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ]
                  ],
                  "determinant_angle_factor_bounds": {
                    "lo": {
                      "numerator": 0,
                      "denominator": 1
                    },
                    "hi": {
                      "numerator": 0,
                      "denominator": 1
                    }
                  },
                  "determinant_bounds": {
                    "lo": {
                      "numerator": 0,
                      "denominator": 1
                    },
                    "hi": {
                      "numerator": 0,
                      "denominator": 1
                    }
                  },
                  "inverse_matrix_bounds": null,
                  "inverse_row_sum_upper_bounds": null,
                  "reading_midpoints": [
                    {
                      "numerator": 261755666862260355270666957534738848657,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": 65438916714635143881143283213888927279,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 130877833420540733827156268759108878809,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  "reading_radii": [
                    {
                      "numerator": 5,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": 1,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    {
                      "numerator": 448358576697990823,
                      "denominator": 116036287120040016041010741134232960106496
                    }
                  ],
                  "recorded_increment_midpoints": [
                    {
                      "numerator": -3719779746093824679183139541,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": -8729553935130297668668975749,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  "transformed_reading_coefficients": null,
                  "transformed_centers": null,
                  "transformed_observation_error_radii": null,
                  "transformed_flow_error_radii": null,
                  "raw_transformed_bounds": null,
                  "prior_transformed_bounds": [
                    {
                      "lo": {
                        "numerator": 3008827801606212730430961139259982705,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 16550288638384032083354480997374461905,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 83445152785038620452101670385288163211,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 42428744379174680903648820235267800471,
                        "denominator": 21267647932558653966460912964485513216
                      }
                    }
                  ],
                  "transformed_coordinate_bounds": null,
                  "nominal_bulk_angle_outer_bounds": null,
                  "actual_long_arc_mean_outer_bounds": null,
                  "readout_gain_outer_bounds": null,
                  "source_admitted": true,
                  "finite_response_certified": true,
                  "rank_deficient": true,
                  "rank_certified": false,
                  "whole_window_acute_certified": false,
                  "inverse_enclosure_available": false,
                  "status": "unavailable",
                  "unavailable_reasons": [
                    "equal_cumulative_amplitudes_leave_the_leading_response_rank_deficient"
                  ],
                  "incompatibility_reasons": [],
                  "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
                  "law": "normalized_sine_reciprocal_exchange",
                  "clock": "tau=e*t",
                  "capacity": [
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    }
                  ],
                  "transformed_coordinate_order": [
                    "gain_times_cos_bulk",
                    "gain_times_sin_bulk"
                  ],
                  "scope": [
                    "same_noncritical_affine_source_family_and_full_two_port_sine_law",
                    "two_successive_equal_windows_without_source_or_equilibrium_reset",
                    "cumulative_amplitudes_determine_first_jump_and_second_amplitude_difference",
                    "three_scalar_readings_share_one_held_positive_gain_and_one_held_offset",
                    "shared_middle_observation_error_retained_before_coordinate_projection",
                    "exact_reading_midpoint_differences_cancel_arbitrary_common_offset",
                    "full_original_source_errors_and_both_evolving_rows_enter_uniform_remainder",
                    "positive_gain_prior_is_supplied_information_not_inferred_physical_calibration",
                    "coordinate_box_can_discard_joint_error_correlations_without_claiming_realizability",
                    "bounded_candidate_gives_necessary_marginals_not_existence_or_point_identification",
                    "actual_pre_probe_arc_mean_expands_nominal_angle_by_original_phase_radius_over_eight",
                    "leading_rank_failure_does_not_exclude_a_full_nonlinear_response",
                    "no_target_root_trajectory_producer_hidden_source_or_cached_report_consumed",
                    "whole_window_acuity_is_optional_and_not_an_inverse_admission_gate"
                  ]
                },
                "finite_remainder_over_clock_candidate": {
                  "numerator": 3313962236598240666115,
                  "denominator": 71568229042163271467874910368121749504
                },
                "finite_remainder_over_clock_upper_bound": {
                  "numerator": 3313962236598240666115,
                  "denominator": 71568229042163271467874910368121749504
                },
                "nominal_bulk_angle_outer_bounds": null,
                "actual_long_arc_mean_outer_bounds": null,
                "effective_gain_outer_bounds": null,
                "readout_gain_outer_bounds": null,
                "clock_rate_outer_bounds": null,
                "source_admitted": true,
                "finite_response_certified": true,
                "rank_deficient": true,
                "rank_certified": false,
                "whole_window_acute_certified": false,
                "inverse_enclosure_available": false,
                "status": "unavailable",
                "unavailable_reasons": [
                  "equal_cumulative_amplitudes_leave_the_leading_response_rank_deficient"
                ],
                "incompatibility_reasons": [],
                "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
                "clock": "tau=rho*s; rho is one held positive rate",
                "effective_gain_relation": "J=G*rho",
                "complete_observed_rows": [
                  "dx/ds=rho*(-A*x+gamma*f(theta))",
                  "dtheta/ds=rho*gamma*A*x"
                ],
                "scope": [
                  "fixed_gamma_and_complete_two_port_law_under_one_unknown_constant_clock_rate",
                  "two_events_at_observed_times_zero_and_H_without_source_reset",
                  "auxiliary_envelope_gain_is_L_equal_G_times_rho_over_rho_upper",
                  "auxiliary_upper_duration_is_not_the_actual_unknown_trajectory_duration",
                  "monotone_finite_remainder_over_clock_rate_retains_full_flow_dependence",
                  "three_reading_errors_remain_in_sensor_units_without_clock_division",
                  "effective_gain_J_is_G_times_rho_not_sensor_gain_alone",
                  "separate_gain_and_clock_bounds_project_one_necessary_product_relation",
                  "coordinate_product_need_not_be_jointly_realizable",
                  "no_exact_full_flow_gain_clock_symmetry_or_separate_point_identification",
                  "original_source_actual_arc_mean_retains_original_phase_radius_over_eight",
                  "no_acquisition_calibration_trajectory_producer_or_physical_identification"
                ]
              },
              "observation_times": [
                {
                  "numerator": 0,
                  "denominator": 1
                },
                {
                  "numerator": 1,
                  "denominator": 33554432
                },
                {
                  "numerator": 1,
                  "denominator": 16777216
                },
                {
                  "numerator": 1,
                  "denominator": 8388608
                }
              ],
              "reading_midpoints": [
                {
                  "numerator": 261755666862260355270666957534738848657,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 261755666860400465350679450350990353895,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 65438916714635143881143283213888927279,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833420540733827156268759108878809,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              "reading_radii": [
                {
                  "numerator": 5,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 112089644174500519,
                  "denominator": 232072574240080032082021482268465920212992
                },
                {
                  "numerator": 1,
                  "denominator": 42535295865117307932921825928971026432
                },
                {
                  "numerator": 448358576697990823,
                  "denominator": 116036287120040016041010741134232960106496
                }
              ],
              "curvature_midpoint": {
                "numerator": 93881189688313849983,
                "denominator": 680564733841876926926749214863536422912
              },
              "curvature_observation_radius": {
                "numerator": 224929155279151431,
                "denominator": 232072574240080032082021482268465920212992
              },
              "sensor_corrected_curvature_bounds": {
                "lo": {
                  "numerator": 11735066259002838597,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 46940924652302495595,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "embedded_inverse_reading_coefficients": null,
              "first_window_sine_norm_candidate": {
                "numerator": 13899637892674951759634893821,
                "denominator": 2779927578534986401345175552
              },
              "initial_curvature_error_candidate": {
                "numerator": 9421831,
                "denominator": 662786383279558754304
              },
              "third_derivative_bound_candidate": {
                "numerator": 237172376697319282121272846358382816290712107564166434262013,
                "denominator": 36394079985992834291023832222110015064063778955304656932175872
              },
              "normalized_curvature_error_candidate": {
                "numerator": 79060352183463968191801901039600782382818486348319056462847,
                "denominator": 101765223507713125892118949056349949748841976218233429192835325755392
              },
              "normalized_curvature_error_upper_bound": {
                "numerator": 79060352183463968191801901039600782382818486348319056462847,
                "denominator": 101765223507713125892118949056349949748841976218233429192835325755392
              },
              "effective_gain_denominator_bounds": null,
              "curvature_coefficient_bounds": null,
              "normalized_curvature_observation_bounds": null,
              "clock_rate_constraint_bounds": null,
              "nominal_bulk_angle_outer_bounds": null,
              "actual_long_arc_mean_outer_bounds": null,
              "effective_gain_outer_bounds": null,
              "readout_gain_outer_bounds": null,
              "clock_rate_outer_bounds": null,
              "source_admitted": true,
              "finite_curvature_bound_certified": true,
              "base_inverse_enclosure_available": false,
              "curvature_coefficient_positive": false,
              "curvature_refinement_available": false,
              "inverse_enclosure_available": false,
              "status": "unavailable",
              "unavailable_reasons": [
                "equal_cumulative_amplitudes_leave_the_leading_response_rank_deficient"
              ],
              "incompatibility_reasons": [],
              "curvature_reading_coefficients": [
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": -2,
                  "denominator": 1
                },
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": 0,
                  "denominator": 1
                }
              ],
              "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
              "clock": "tau=rho*s; rho is one held positive rate",
              "effective_gain_relation": "J=G*rho",
              "scope": [
                "four_readings_on_one_complete_two_pulse_trajectory_at_zero_H_over_two_H_two_H",
                "first_and_second_phase_events_remain_at_zero_and_H_without_reset",
                "finite_second_difference_is_not_a_supplied_derivative_observation",
                "all_four_readings_are_admitted_before_the_three_reading_clock_envelope",
                "exact_midpoint_second_difference_cancels_arbitrary_held_offset",
                "four_reading_error_coefficients_are_retained_before_marginal_relaxation",
                "complete_initial_state_error_and_third_derivative_remainder_are_retained",
                "clock_refinement_uses_positive_factors_and_exact_endpoint_division",
                "necessary_constraint_intersection_does_not_assert_joint_error_or_state_realizability",
                "original_angle_and_actual_pre_probe_arc_mean_remain_the_child_statistics",
                "unavailable_refinement_retains_the_coarse_clock_report_separately",
                "no_clock_grid_shooting_repeated_fit_or_additional_response_evaluation",
                "no_physical_calibration_source_acquisition_or_unique_law_identification"
              ]
            },
            "observation_times": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 33554432
              },
              {
                "numerator": 1,
                "denominator": 16777216
              },
              {
                "numerator": 1,
                "denominator": 8388608
              }
            ],
            "structural_duration_upper_bound": {
              "numerator": 1,
              "denominator": 4194304
            },
            "whole_window_form_norm_candidate": {
              "numerator": 469765117,
              "denominator": 863846703525003264
            },
            "whole_window_form_norm_upper_bound": {
              "numerator": 469765117,
              "denominator": 863846703525003264
            },
            "structural_readout_speed_candidate": {
              "numerator": 109462543139157,
              "denominator": 47991483529166848
            },
            "structural_readout_speed_upper_bound": {
              "numerator": 109462543139157,
              "denominator": 47991483529166848
            },
            "exposure_discrepancy_bounds": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 9444732965739290427392
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1180591620717411303424
              }
            ],
            "recorded_discrepancy_candidates": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 226633373281328156330099103777798750208
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 28329171660166019541262387972224843776
              }
            ],
            "recorded_discrepancy_upper_bounds": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 226633373281328156330099103777798750208
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 28329171660166019541262387972224843776
              }
            ],
            "comparison_reading_bounds": [
              [
                {
                  "numerator": 65438916715565088817666739383684712163,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833431130177635333478767369424331,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 22314670599849139671145395120010884044419,
                  "denominator": 58018143560020008020505370567116480053248
                },
                {
                  "numerator": 44629341199698279342290902329665942589357,
                  "denominator": 116036287120040016041010741134232960106496
                }
              ],
              [
                {
                  "numerator": 65438916714635143881143283213888927275,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 65438916714635143881143283213888927283,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              [
                {
                  "numerator": 22314670598202195117529919644139714841523,
                  "denominator": 58018143560020008020505370567116480053248
                },
                {
                  "numerator": 11157335299101097558765184001358206416173,
                  "denominator": 29009071780010004010252685283558240026624
                }
              ]
            ],
            "nominal_bulk_angle_outer_bounds": null,
            "actual_long_arc_mean_outer_bounds": null,
            "effective_gain_outer_bounds": null,
            "readout_gain_outer_bounds": null,
            "first_window_mean_clock_rate_outer_bounds": null,
            "source_admitted": true,
            "clock_drift_transfer_certified": true,
            "finite_curvature_bound_certified": true,
            "rank_deficient": true,
            "rank_certified": false,
            "inverse_enclosure_available": false,
            "status": "unavailable",
            "unavailable_reasons": [
              "equal_cumulative_amplitudes_leave_the_leading_response_rank_deficient"
            ],
            "incompatibility_reasons": [],
            "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
            "clock": "tau(s)=integral_0^s rho(u) du; positive C1 rho with supplied bounds",
            "inferred_clock_statistic": "rho_bar_1=(1/H)*integral_0^H rho(s) ds",
            "effective_gain_relation": "J=G*rho_bar_1",
            "complete_observed_rows": [
              "dx/ds=rho(s)*(-A*x+gamma*f(theta))",
              "dtheta/ds=rho(s)*gamma*A*x"
            ],
            "scope": [
              "global_positive_clock_rate_and_C1_derivative_bounds_are_supplied_premises",
              "fixed_complete_two_port_law_and_both_rows_share_one_clock_exposure",
              "four_point_readings_at_zero_H_over_two_H_two_H_are_not_exposure_averages",
              "original_source_and_phase_events_at_zero_and_H_are_preserved",
              "constant_first_window_mean_reference_agrees_exactly_at_zero_and_H",
              "second_event_starts_from_the_same_complete_state_in_both_histories",
              "only_half_time_and_final_reading_bands_receive_clock_comparison_allowances",
              "original_sensor_error_gain_and_offset_premises_remain_unchanged",
              "reference_envelope_is_a_constraint_on_a_comparison_history_not_actual_constant_clock_flow",
              "reference_status_and_reasons_apply_to_the_widened_necessary_constraints",
              "effective_gain_uses_first_window_mean_rate_not_pointwise_clock_rate",
              "original_actual_arc_mean_retains_the_original_phase_radius_over_eight",
              "marginal_intersections_do_not_certify_joint_state_error_or_clock_profile_realizability",
              "no_profile_fit_clock_grid_response_producer_or_cached_report_input",
              "no_physical_clock_calibration_acquisition_or_unique_law_identification"
            ]
          }
        }
      },
      "phase_blind_recorded_bound": {
        "numerator": 1048577,
        "denominator": 618970019642690137449562112
      },
      "reference_comparison": {
        "reference_history_id": "constant-mean-reference",
        "recorded_difference_bounds": [
          {
            "lo": {
              "numerator": -5,
              "denominator": 340282366920938463463374607431768211456
            },
            "hi": {
              "numerator": 5,
              "denominator": 340282366920938463463374607431768211456
            }
          },
          {
            "lo": {
              "numerator": 1468368042885,
              "denominator": 340282366920938463463374607431768211456
            },
            "hi": {
              "numerator": 1468368042907,
              "denominator": 340282366920938463463374607431768211456
            }
          },
          {
            "lo": {
              "numerator": -9,
              "denominator": 170141183460469231731687303715884105728
            },
            "hi": {
              "numerator": 7,
              "denominator": 170141183460469231731687303715884105728
            }
          },
          {
            "lo": {
              "numerator": -13783824097447,
              "denominator": 85070591730234615865843651857942052864
            },
            "hi": {
              "numerator": -3445956024359,
              "denominator": 21267647932558653966460912964485513216
            }
          }
        ],
        "reconstructed_recorded_discrepancy_bounds": [
          {
            "numerator": 0,
            "denominator": 1
          },
          {
            "numerator": 109462543139157,
            "denominator": 226633373281328156330099103777798750208
          },
          {
            "numerator": 0,
            "denominator": 1
          },
          {
            "numerator": 109462543139157,
            "denominator": 28329171660166019541262387972224843776
          }
        ],
        "scope": "Same source, gain, offset and four sensor errors; interval overlap at H is consistency with separately proved exact exposure equality"
      }
    },
    {
      "id": "linear-negative",
      "clock_audit": {
        "definition": "rho(s)=first_window_mean+slope*(s-H/2)",
        "profile_id": "linear-negative",
        "first_window_mean": {
          "numerator": 9,
          "denominator": 8
        },
        "slope": {
          "numerator": -1,
          "denominator": 8388608
        },
        "observed_reading_times": [
          {
            "numerator": 0,
            "denominator": 1
          },
          {
            "numerator": 1,
            "denominator": 33554432
          },
          {
            "numerator": 1,
            "denominator": 16777216
          },
          {
            "numerator": 1,
            "denominator": 8388608
          }
        ],
        "sampled_rates": [
          {
            "numerator": 316659348799489,
            "denominator": 281474976710656
          },
          {
            "numerator": 9,
            "denominator": 8
          },
          {
            "numerator": 316659348799487,
            "denominator": 281474976710656
          },
          {
            "numerator": 316659348799485,
            "denominator": 281474976710656
          }
        ],
        "global_rate_bounds": [
          {
            "numerator": 316659348799485,
            "denominator": 281474976710656
          },
          {
            "numerator": 316659348799489,
            "denominator": 281474976710656
          }
        ],
        "derivative_upper_bound": {
          "numerator": 1,
          "denominator": 8388608
        },
        "structural_reading_times": [
          {
            "numerator": 0,
            "denominator": 1
          },
          {
            "numerator": 633318697598977,
            "denominator": 18889465931478580854784
          },
          {
            "numerator": 9,
            "denominator": 134217728
          },
          {
            "numerator": 316659348799487,
            "denominator": 2361183241434822606848
          }
        ],
        "structural_segment_durations": [
          {
            "numerator": 633318697598977,
            "denominator": 18889465931478580854784
          },
          {
            "numerator": 633318697598975,
            "denominator": 18889465931478580854784
          },
          {
            "numerator": 158329674399743,
            "denominator": 2361183241434822606848
          }
        ],
        "admitted": true,
        "first_window_mean_identity": true,
        "signed_half_exposure_difference": {
          "numerator": 1,
          "denominator": 18889465931478580854784
        },
        "signed_final_exposure_difference": {
          "numerator": -1,
          "denominator": 2361183241434822606848
        }
      },
      "responses": [
        {
          "schema": "tnfr.sine-two-port-readout.v1",
          "report": {
            "initial_form_bounds": [
              {
                "lo": {
                  "numerator": 92804281887528670049556049799869909625,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057340099112099599739819251,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670270916978684384529017,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057340541833957368769058035,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670492277907568899148409,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057340984555815137798296819,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670713638836453413767801,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057341427277672906827535603,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670934999765337928387193,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057341869999530675856774387,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671156360694222443006585,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057342312721388444886013171,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671377721623106957625977,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057342755443246213915251955,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671599082551991472245369,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057343198165103982944490739,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671820443480875986864761,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057343640886961751973729523,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672041804409760501484153,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344083608819521002968307,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672263165338645016103545,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344526330677290032207091,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672484526267529530722937,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344969052535059061445875,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672705887196414045342329,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057345411774392828090684659,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672927248125298559961721,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057345854496250597119923443,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673148609054183074581113,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346297218108366149162227,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673369969983067589200505,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346739939966135178401011,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673591330911952103819897,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057347182661823904207639795,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673812691840836618439289,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057347625383681673236878579,
                  "denominator": 340282366920938463463374607431768211456
                }
              }
            ],
            "initial_phase_bounds": [
              {
                "lo": {
                  "numerator": -1460966971720108629915832506557133013607,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -730483485860054314957916253278566506723,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -1098099855051033967936984117900793279831,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -549049927525516983968492058950396639833,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -608943952602184926339448238243435443543,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -304471976301092463169724119121717721689,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -119788050153335886439012813367356355927,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -59894025076667943219506406683678177881,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 369367852295513155158523066290001480361,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 184683926147756577579261533145000740263,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 858523754744362196756058945947359316649,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 429261877372181098378029472973679658407,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 1347679657193211238353594825604717152937,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 673839828596605619176797412802358576551,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 1836835559642060278254030250480796240553,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 918417779821030139127015125240398120359,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 2325991462090909319851566130138154076841,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1162995731045454659925783065069077038503,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -707823180076973342285006286116802076963,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -707823180076973342285006286116802076881,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -571710233308597956715189002406999276221,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -1143420466617195913430378004813998552277,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -910191557293048072442860490792516645443,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -910191557293048072442860490792516645277,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -169240661992225058288110857888078371779,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -676962647968900233152443431552313486949,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -443733738644752392164925917530831580117,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -443733738644752392164925917530831579949,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -105252414660302275588704201754674836559,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -210504829320604551177408403509349672949,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 22724080003543289810109110512132233881,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 22724080003543289810109110512132234051,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 15997061832980695568782885609520962013,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": 255952989327691129100526169752335392379,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 489181898651838970088043683773817299207,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 489181898651838970088043683773817299379,
                  "denominator": 340282366920938463463374607431768211456
                }
              }
            ],
            "phase_increment": {
              "numerator": 1,
              "denominator": 4
            },
            "probe_duration": {
              "numerator": 633318697598977,
              "denominator": 18889465931478580854784
            },
            "order": 4,
            "reference_model": {
              "storage_scale": 1.0,
              "epi_weight": 0.9990234375,
              "phase_weight": 0.0009765625,
              "phase_domain": "regular"
            },
            "geometry": {
              "nodes": [
                0,
                1,
                2,
                3,
                4,
                5,
                6,
                7,
                8,
                9,
                10,
                11,
                12,
                13,
                14,
                15,
                16,
                17
              ],
              "edges": [
                [
                  0,
                  1
                ],
                [
                  0,
                  8
                ],
                [
                  0,
                  9
                ],
                [
                  1,
                  2
                ],
                [
                  1,
                  10
                ],
                [
                  2,
                  3
                ],
                [
                  3,
                  4
                ],
                [
                  4,
                  5
                ],
                [
                  5,
                  6
                ],
                [
                  6,
                  7
                ],
                [
                  7,
                  8
                ],
                [
                  9,
                  10
                ],
                [
                  9,
                  17
                ],
                [
                  10,
                  11
                ],
                [
                  11,
                  12
                ],
                [
                  12,
                  13
                ],
                [
                  13,
                  14
                ],
                [
                  14,
                  15
                ],
                [
                  15,
                  16
                ],
                [
                  16,
                  17
                ]
              ],
              "incidence": [
                [
                  -1,
                  -1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  1,
                  0,
                  0,
                  -1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  1,
                  0,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  -1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1
                ]
              ],
              "tree_edge_indices": [
                0,
                1,
                2,
                3,
                4,
                10,
                12,
                5,
                13,
                9,
                19,
                6,
                14,
                8,
                18,
                15,
                17
              ],
              "fundamental_cycles": [
                [
                  4,
                  5,
                  6,
                  7,
                  8,
                  0,
                  1,
                  2,
                  3
                ],
                [
                  9,
                  10,
                  1,
                  0
                ],
                [
                  13,
                  14,
                  15,
                  16,
                  17,
                  9,
                  0,
                  1,
                  10,
                  11,
                  12
                ]
              ],
              "cycle_rows": [
                [
                  1,
                  -1,
                  0,
                  1,
                  0,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  -1,
                  0,
                  1,
                  0,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  1,
                  0,
                  -1,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  -1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              ],
              "bridge_edge_indices": [],
              "cycle_rank": 3,
              "short_cycle_span_rank": 1,
              "scope": [
                "connected_simple_undirected_phase_support_without_self_loops",
                "node_order_and_cycle_basis_are_coordinates_not_physical_selectors",
                "all_support_edges_retained_independently_of_transport_weights",
                "integer_fundamental_cycles_and_exact_rational_short_cycle_rank",
                "32_node_50_edge_evaluation_budget_is_not_a_physical_restriction",
                "no_graph_write_live_phase_admission_or_trajectory_claim"
              ]
            },
            "degrees": [
              3,
              3,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              3,
              3,
              2,
              2,
              2,
              2,
              2,
              2,
              2
            ],
            "dipole": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": -1,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              }
            ],
            "post_event_initial_box": [
              {
                "lo": {
                  "numerator": 92804281887528670049556049799869909625,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057340099112099599739819251,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670270916978684384529017,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057340541833957368769058035,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670492277907568899148409,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057340984555815137798296819,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670713638836453413767801,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057341427277672906827535603,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528670934999765337928387193,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057341869999530675856774387,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671156360694222443006585,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057342312721388444886013171,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671377721623106957625977,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057342755443246213915251955,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671599082551991472245369,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057343198165103982944490739,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528671820443480875986864761,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057343640886961751973729523,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672041804409760501484153,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344083608819521002968307,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672263165338645016103545,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344526330677290032207091,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672484526267529530722937,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057344969052535059061445875,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672705887196414045342329,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057345411774392828090684659,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528672927248125298559961721,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057345854496250597119923443,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673148609054183074581113,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346297218108366149162227,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673369969983067589200505,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346739939966135178401011,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673591330911952103819897,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057347182661823904207639795,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673812691840836618439289,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057347625383681673236878579,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1460966971720108629915832506557133013607,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -730483485860054314957916253278566506723,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -1098099855051033967936984117900793279831,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -549049927525516983968492058950396639833,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -608943952602184926339448238243435443543,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -304471976301092463169724119121717721689,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -119788050153335886439012813367356355927,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -59894025076667943219506406683678177881,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 454438444025747771024366718147943533225,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 227219222012873885512183359073971766695,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 773453163014127580890215294089417263785,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 386726581507063790445107647044708631975,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 1347679657193211238353594825604717152937,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 673839828596605619176797412802358576551,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 1836835559642060278254030250480796240553,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 918417779821030139127015125240398120359,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 2325991462090909319851566130138154076841,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1162995731045454659925783065069077038503,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -707823180076973342285006286116802076963,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -707823180076973342285006286116802076881,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -571710233308597956715189002406999276221,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -1143420466617195913430378004813998552277,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -910191557293048072442860490792516645443,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -910191557293048072442860490792516645277,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -169240661992225058288110857888078371779,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -676962647968900233152443431552313486949,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -443733738644752392164925917530831580117,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -443733738644752392164925917530831579949,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -105252414660302275588704201754674836559,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -210504829320604551177408403509349672949,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 22724080003543289810109110512132233881,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 22724080003543289810109110512132234051,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 15997061832980695568782885609520962013,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": 255952989327691129100526169752335392379,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 489181898651838970088043683773817299207,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 489181898651838970088043683773817299379,
                  "denominator": 340282366920938463463374607431768211456
                }
              }
            ],
            "baseline_readout_bounds": {
              "lo": {
                "numerator": -442721857769029238785,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -442721857769029238783,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            "step": {
              "time": {
                "numerator": 0,
                "denominator": 1
              },
              "duration": {
                "numerator": 633318697598977,
                "denominator": 18889465931478580854784
              },
              "order": 4,
              "initial_box": [
                {
                  "lo": {
                    "numerator": 92804281887528670049556049799869909625,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057340099112099599739819251,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528670270916978684384529017,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057340541833957368769058035,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528670492277907568899148409,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057340984555815137798296819,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528670713638836453413767801,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057341427277672906827535603,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528670934999765337928387193,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057341869999530675856774387,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528671156360694222443006585,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057342312721388444886013171,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528671377721623106957625977,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057342755443246213915251955,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528671599082551991472245369,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057343198165103982944490739,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528671820443480875986864761,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057343640886961751973729523,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528672041804409760501484153,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057344083608819521002968307,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528672263165338645016103545,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057344526330677290032207091,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528672484526267529530722937,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057344969052535059061445875,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528672705887196414045342329,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057345411774392828090684659,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528672927248125298559961721,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057345854496250597119923443,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673148609054183074581113,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057346297218108366149162227,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673369969983067589200505,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057346739939966135178401011,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673591330911952103819897,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057347182661823904207639795,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673812691840836618439289,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057347625383681673236878579,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1460966971720108629915832506557133013607,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -730483485860054314957916253278566506723,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1098099855051033967936984117900793279831,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -549049927525516983968492058950396639833,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -608943952602184926339448238243435443543,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -304471976301092463169724119121717721689,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -119788050153335886439012813367356355927,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -59894025076667943219506406683678177881,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 454438444025747771024366718147943533225,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 227219222012873885512183359073971766695,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 773453163014127580890215294089417263785,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 386726581507063790445107647044708631975,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 1347679657193211238353594825604717152937,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 673839828596605619176797412802358576551,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 1836835559642060278254030250480796240553,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 918417779821030139127015125240398120359,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 2325991462090909319851566130138154076841,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1162995731045454659925783065069077038503,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -707823180076973342285006286116802076963,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -707823180076973342285006286116802076881,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -571710233308597956715189002406999276221,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1143420466617195913430378004813998552277,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -910191557293048072442860490792516645443,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -910191557293048072442860490792516645277,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -169240661992225058288110857888078371779,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -676962647968900233152443431552313486949,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -443733738644752392164925917530831580117,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -443733738644752392164925917530831579949,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -105252414660302275588704201754674836559,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -210504829320604551177408403509349672949,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 22724080003543289810109110512132233881,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 22724080003543289810109110512132234051,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 15997061832980695568782885609520962013,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 255952989327691129100526169752335392379,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 489181898651838970088043683773817299207,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 489181898651838970088043683773817299379,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              "tube": [
                {
                  "lo": {
                    "numerator": 185608563775054808589913939424722739077,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775080123681895538975870285249,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 2900133808984914952485166691898816183,
                    "denominator": 5316911983139663491615228241121378304
                  },
                  "hi": {
                    "numerator": 2900133808985310500797376575703454167,
                    "denominator": 5316911983139663491615228241121378304
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057340984103516380651115645,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057340984730164956542704501,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775056882455497907476380292381,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775061472173295559581829469035,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563774683703258214499700930837047,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887549428635654489403147786799,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775015826911411940314447213959,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887715490462253209709905975255,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887526606004712679769456659261,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 23201070471882225215902876455545311897,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343198086239055682867889,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057343198182416012219431321,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343640791409790330084395,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057343641321881959449717819,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563774992890534881961718521203833,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887532252794511457538362874155,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887525091510458293650274218981,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775121798075057484996362873687,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 5800267617970542030274450408647753037,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": 92804281887528672485141544870470540445,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528672705887196276178066675,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057345411774393110678390877,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057345854496250322241993417,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528672927248125435998926791,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057346297218108091271232087,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764336574304527160256773063,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 23201070471882168342492495731573836849,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 185608563775057346739939966410912952319,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673591330911814236535495,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 46402140943764336795665456046698875869,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057347624153060189469096311,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528673812826868426843372617,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1460966971720108629915832642120424583903,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -182620871465013578739478986265290396437,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -274524963762758491984246183594292575885,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -536181569849137679656730460146029733,
                    "denominator": 166153499473114484112975882535043072
                  }
                },
                {
                  "lo": {
                    "numerator": -304471976301092463169724146383879959139,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -608943952602184926339448097234365906161,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -29947012538333971609753327912727723413,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -119788050153335886439010544386284908695,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 454438444025747771024360034449494283621,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 454438444025747771024368185515800515575,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1510650709011967931426198880315547425,
                    "denominator": 664613997892457936451903530140172288
                  },
                  "hi": {
                    "numerator": 386726581507063790445110988893933256777,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 673839828596605619176796278311822852935,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1347679657193211238353595323888271690827,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1836835559642060278254030244819308170073,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1836835559642060278254030275294676003667,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 2325991462090909319851565994536478292969,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 2325991462090909319851566160144260288325,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -44238948754810833892812927618226279597,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": -707823180076973342285006164010182269889,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -71463779163574744589398640563336402381,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": -1143420466617195913430376893250506032341,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -227547889323262018110715218489633441891,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -455095778646524036221430203234182138221,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -676962647968900233152443431827191394089,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -84620330996112529144055428909679447497,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -221866869322376196082462958902854743545,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -27733358665297024510307869828497104561,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": -210504829320604551177408403784227580091,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -26313103665075568897176050404308970747,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 5681020000885822452527277559313581727,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 710127500110727806565909712094066907,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": 15997061832980695568782885592341092821,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 255952989327691129100526170027213299799,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 489181898651838970088043599470448521135,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 122295474662959742522011016740154503429,
                    "denominator": 85070591730234615865843651857942052864
                  }
                }
              ],
              "series": [
                [
                  {
                    "lo": {
                      "numerator": 92804281887528670049556049799869909625,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057340099112099599739819251,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 604041617327482494947074141460973,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 604041617327482494947074141460979,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -687494701890220514583118902954243,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -687494701890220514583118902954235,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 230047984225498605470512490481177,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 230047984225498605470512490481181,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -13967366754933745467132633614217,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": -223477868078939927474122137827467,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528670270916978684384529017,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057340541833957368769058035,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -604041617323498014414746793504929,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -604041617323498014414746793504923,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 687494701888338948128153000062969,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 343747350944169474064076500031489,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -228526943811082064624474498871203,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -228526943811082064624474498871199,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 186673858696091297082240489229451,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 11667116168505706067640030576841,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528670492277907568899148409,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057340984555815137798296819,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -8772500294717025,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -274140634209907,
                      "denominator": 2658455991569831745807614120560689152
                    }
                  },
                  {
                    "lo": {
                      "numerator": -123631676525622336684218673537169,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -123631676525622336684218673537163,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -133040792996084534998418418612245,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -66520396498042267499209209306121,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 133816336084567277818959169006717,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 267632672169134555637918338013439,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528670713638836453413767801,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057341427277672906827535603,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 109514911221008597514959366939103,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 109514911221008597514959366939107,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2531247591434771813180363998309629,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -2531247591434771813180363998309623,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1032976060270065362273167231286555,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 516488030135032681136583615643279,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -534267806856487705042273294092395,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -1068535613712975410084546588184785,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528670934999765337928387193,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057341869999530675856774387,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -9905960543297070022601536080492197,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -9905960543297070022601536080492193,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 7456849135278054666329891902103919,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 3728424567639027333164945951051963,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -4150299042560811578783682312375379,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1037574760640202894695920578093843,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1814606105338105232879292147661479,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 1814606105338105232879292147661483,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528671156360694222443006585,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057342312721388444886013171,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 9905960543297070022601536080492193,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 9905960543297070022601536080492197,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -3728424567639027333164945951051963,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -7456849135278054666329891902103919,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1037574760640202894695920578093843,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 4150299042560811578783682312375379,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1817752155423327706924804965719033,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -454438038855831926731201241429757,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528671377721623106957625977,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057342755443246213915251955,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -109514911221008597514959366939107,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -109514911221008597514959366939103,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 2531247591434771813180363998309623,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 2531247591434771813180363998309629,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2091120520938182087125296441783735,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -130695032558636380445331027611483,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1098588669756087395468192176055541,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 549294334878043697734096088027773,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528671599082551991472245369,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057343198165103982944490739,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 274140634209907,
                      "denominator": 2658455991569831745807614120560689152
                    },
                    "hi": {
                      "numerator": 8772500294717025,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -27378727805750228625908923275777,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -13689363902875114312954461637885,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 456169236026952702767372376082163,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 228084618013476351383686188041085,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -396617665380638264428501966645583,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -198308832690319132214250983322789,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528671820443480875986864761,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057343640886961751973729523,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -124515427144275400397,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": -498061708577101601587,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 151010404332866755905061001636643,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 151010404332866755905061001636649,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -42370592719884794390393041721341,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -169482370879539177561572166885357,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 156903741260733961059890680875161,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 78451870630366980529945340437583,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528672041804409760501484153,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057344083608819521002968307,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1708801742033385341785295666318513,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1708801742033385341785295666318507,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1239874764242950577711975475603981,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 1239874764242950577711975475603989,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -674910413022637152334928986990847,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -84363801627829644041866123373855,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 292398604739858809617049589967851,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 292398604739858809617049589967857,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528672263165338645016103545,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057344526330677290032207091,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1708801742032057185457763451134227,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 1708801742032057185457763451134233,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1239874764242175852903354090050413,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1239874764242175852903354090050405,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 674910413022329737801429496018121,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 674910413022329737801429496018129,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -146072549014206175567987547935605,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -292145098028412351135975095871205,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528672484526267529530722937,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057344969052535059061445875,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -204402755792934101,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -12775172237058381,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": 53400054438501806211424362546129,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 26700027219250903105712181273065,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -349045913047981859095890328386415,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -43630739130997732386986291048301,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 180525274765049353440363316035533,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 90262637382524676720181658017769,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528672705887196414045342329,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057345411774392828090684659,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 12775172237058381,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 204402755792934101,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -76651033422350289,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -76651033422350285,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 71200067248075639158031264186109,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 71200067248075639158031264186117,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -15357687834663351224827478155271,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -30715375669326702449654956310539,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528672927248125298559961721,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057345854496250597119923443,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -3,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 3,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 3193793059264595,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 51100688948233529,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -6387585639766329,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -798448204970791,
                      "denominator": 5316911983139663491615228241121378304
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1112500967366910891438596212063,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 4450003869467643565754384848255,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528673148609054183074581113,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057346297218108366149162227,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -3,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 3,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -51100688948233529,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -3193793059264595,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": 798448204970791,
                      "denominator": 5316911983139663491615228241121378304
                    },
                    "hi": {
                      "numerator": 6387585639766329,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -5203026826094852425,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -10406053652189704845,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528673369969983067589200505,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057346739939966135178401011,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -204402755792934101,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -12775172237058381,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": 76651033422350285,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 76651033422350289,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -41547566700903530469,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -41547566700903530465,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -8900007738879879007055543517129,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -2225001934719969751763885879281,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528673591330911952103819897,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057347182661823904207639795,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 12775172237058381,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 204402755792934101,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -498213132957128561047,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -31138320809820535065,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -8900008405974846099840740627281,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -71200067247798768798725925018241,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 61430751338551872963611548453881,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 30715375669275936481805774226943,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528673812691840836618439289,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057347625383681673236878579,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -498059868221073187827,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -249029934110536593913,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -427200435507350164683854400625167,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -53400054438418770585481800078145,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 349045913047806490502120665146917,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 87261478261951622625530166286731,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -22565659345626166164586884830881,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -180525274765009329316695078647043,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -1460966971720108629915832506557133013607,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -730483485860054314957916253278566506723,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -826526358695226153,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -413263179347613075,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 53479071434661581004610917627,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 213916285738646324018443670509,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -8947525937778543184426966057,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": -71580207502228345475415728455,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 69535893445825970425951324461,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 34767946722912985212975662231,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -1098099855051033967936984117900793279831,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -549049927525516983968492058950396639833,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -413263179347613077,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -413263179347613075,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -106958142869030434132754145131,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -53479071434515217066377072565,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 71106930662127042075840588137,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 35553465331063521037920294069,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -58084202150414736003377320409,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -7260525268801842000422165051,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -608943952602184926339448238243435443543,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -304471976301092463169724119121717721689,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 38468411420901340097391489407,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 38468411420901340097391489409,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 82792180295763453382026392063,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 82792180295763453382026392065,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -41637402987961850857670319191,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -83274805975923701715340638381,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -119788050153335886439012813367356355927,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -59894025076667943219506406683678177881,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 787606190354444268765990501311,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 12306346724288191699468601583,
                      "denominator": 5316911983139663491615228241121378304
                    }
                  },
                  {
                    "lo": {
                      "numerator": -642827937458727007534056013049,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -642827937458727007534056013047,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 83119610945734884245798095059,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 332478443782939536983192380237,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 454438444025747771024366718147943533225,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 227219222012873885512183359073971766695,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2320223655464374847771075938651,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1160111827732187423885537969325,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 322844881531148700503300763219,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 645689763062297401006601526439,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -564620800580275169407275648923,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -282310400290137584703637824461,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 773453163014127580890215294089417263785,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 386726581507063790445107647044708631975,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1160111827732187423885537969325,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 2320223655464374847771075938651,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -645689763062297401006601526439,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -322844881531148700503300763219,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 282799852310306927387859679853,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 565599704620613854775719359707,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 1347679657193211238353594825604717152937,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 673839828596605619176797412802358576551,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -12306346724288191699468601583,
                      "denominator": 5316911983139663491615228241121378304
                    },
                    "hi": {
                      "numerator": -787606190354444268765990501311,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 650659169882201659066908250219,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 325329584941100829533454125111,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -42728694151688614733228206747,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -170914776606754458932912826987,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 1836835559642060278254030250480796240553,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 918417779821030139127015125240398120359,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 4259491559973284550193310209,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 2129745779986642275096655105,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -35484647963985426607599243851,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -70969295927970853215198487701,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 123408920381453937933617741563,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 123408920381453937933617741565,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 2325991462090909319851566130138154076841,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 1162995731045454659925783065069077038503,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 619894769021419613,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 619894769021419615,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -46987394541312831626253098915,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -46987394541312831626253098913,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 13183752414217439847354381529,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 26367504828434879694708763059,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -24410563374950766861178191781,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -48821126749901533722356383561,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -707823180076973342285006286116802076963,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -707823180076973342285006286116802076881,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -192895598772398773332807572787,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -385791197544797546665615145573,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 210000658484599824681573247969,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 210000658484599824681573247971,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -45490407592875844480816541263,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -90980815185751688961633082525,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -571710233308597956715189002406999276221,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -1143420466617195913430378004813998552277,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 413263179347613075,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 413263179347613077,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 96447799386139122103827776985,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 192895598772278244207655553971,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -13125041155281510725487056109,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": -105000329242252085803896448871,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 11362741964175628250803957193,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 45450967856702513003215828773,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -910191557293048072442860490792516645443,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -910191557293048072442860490792516645277,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -132924850444009664206200908697,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -16615606305501208025775113587,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 108606816405429310761113439019,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 108606816405429310761113439021,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -28085524912380677702528253815,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -56171049824761355405056507629,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -169240661992225058288110857888078371779,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -676962647968900233152443431552313486949,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 5962556628675,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 47700453029401,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -22154141740668295919166951827,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -22154141740668295919166951825,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 4778596513295662704881236855,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 19114386053182650819524947421,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -443733738644752392164925917530831580117,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -443733738644752392164925917530831579949,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -15900151009801,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1987518876225,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 15900151009799,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 15900151009801,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1384633755010584517985574813,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -2769267510021169035971149625,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -105252414660302275588704201754674836559,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -210504829320604551177408403509349672949,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1987518876225,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 15900151009801,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -15900151009801,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -15900151009799,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1618939394877059,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 3237878789754119,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 22724080003543289810109110512132233881,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 22724080003543289810109110512132234051,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -47700453029401,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -5962556628675,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 25855331806489823,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 25855331806489825,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1384633755001964305321699237,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 2769267510003928610643398475,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 15997061832980695568782885609520962013,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 255952989327691129100526169752335392379,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 77510350698735417,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 155020701397470835,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 22154141740582146770424307319,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 22154141740582146770424307321,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1194649128321941175895375285,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": -19114386053151058814326004559,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 489181898651838970088043683773817299207,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 489181898651838970088043683773817299379,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 619894769021419613,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 619894769021419615,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 66462425221901484839665706513,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 33231212610950742419832853257,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -108606816405374744230021568673,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -108606816405374744230021568671,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 56171049824748901763605536525,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 28085524912374450881802768263,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ]
              ],
              "local_remainder_bounds": [
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                }
              ],
              "increment": [
                {
                  "lo": {
                    "numerator": 20252072619262527280952513,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 20252072619262527280952515,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -20252072619128937048373017,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -20252072619128937048373015,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -138974479229580087,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -138974479229580085,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 3671770681399479916088465,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 3671770681399479916088467,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1297356249991290183437835,
                    "denominator": 1329227995784915872903807060280344576
                  },
                  "hi": {
                    "numerator": -166061599998885143480042879,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 166061599998885143480042877,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 83030799999442571740021439,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -1835885340699740432322795,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -917942670349870216161397,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -30776431801045401,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -30776431801045399,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 169684116528649571,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 169684116528649573,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -57292041570581984943532997,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -57292041570581984943532995,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 57292041570537455033467695,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 57292041570537455033467697,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 480216336618155585,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 480216336618155587,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 4768276989,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 2384138495,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 67,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 69,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -59,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -7,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -1713284067,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -3426568133,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 2084579331,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 521144833,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -240141569251985115,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -120070784625992557,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 240435753740337,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 240435753740339,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -120238660479399,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -60119330239699,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 43242375651547,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 43242375651549,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 885348734227503,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 885348734227505,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -2608165247463661,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -2608165247463659,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 2608165247463659,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 2608165247463661,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -442674366966179,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -221337183483089,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 9576190496793,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 9576190496795,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -26398891399389,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -6599722849847,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -433668190675005,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -433668190675003,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 433682046402547,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 433682046402549,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -149420928283425,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -149420928283423,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -208739,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -417477,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 104391,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 417565,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 4670053496091,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": 74720855937457,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              "endpoint": [
                {
                  "lo": {
                    "numerator": 185608563775077592171731362127020771763,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887538796085865681063510385883,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775037088469214828431720685017,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943759272117303707107930171255,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057340984416840658568716731,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528670492208420329284358367,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775061013197959072386743624067,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887530506598979536193371812035,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887362609335000880194448344313,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563774725218670001760388896688629,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943847366378179789682961524731,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775389465512719158731846098927,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943763417746190461683262651591,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775053670984761846733050606367,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343198134327551143445337,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764335799533581887785861335,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343641056645868502379093,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471882167955132080733562797387,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775000052042038237536059435309,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 11600535235937503252627389846003714707,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775114636567901214745065674785,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943778659141975303686266418697,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057344969532751395679601459,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528672484766375697839800731,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764336352943598209406809659,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775057345411774392837627238639,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057345854496250597119923509,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471882168231812031324639990439,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057346297218108366149162167,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057346297218108366149162171,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673369969983064162632371,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057346739939966128325264745,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 23201070471882168397832727988547099807,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 185608563775057347182661823908376798459,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764336906225849633683227087,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775057347624903398534732908351,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -730483485860054314957916133060689636635,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1460966971720108629915832266121379273107,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1098099855051033967936984358378114238629,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -549049927525516983968492179189057119231,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -152235988150546231584862048750264947999,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -608943952602184926339448195001059791829,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -14973506269166985804876491002327766053,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -119788050153335886439011928018622128257,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 113609611006436942756091027495674017391,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 454438444025747771024364109982696069731,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 193363290753531895222554475563666181861,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 773453163014127580890217902254664727611,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1347679657193211238353593940255983220579,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 673839828596605619176796970127991610373,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 918417779821030139127015130028493368673,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1836835559642060278254030260056986737513,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 2325991462090909319851566077340371278063,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1162995731045454659925783038670185639115,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1415646360153946684570013005901794828931,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1415646360153946684570013005901794828765,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1143420466617195913430377571131952149895,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -35731889581787372294699299097873504679,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": -227547889323262018110715160053361232217,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -227547889323262018110715160053361232175,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -84620330996112529144055428944039290259,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -676962647968900233152443431552314321903,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -221866869322376196082462958765415790059,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -110933434661188098041231479382707894987,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -210504829320604551177408403509349673119,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -210504829320604551177408403509349672947,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 22724080003543289810109110512132233879,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 22724080003543289810109110512132234051,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 31994123665961391137565771219042028417,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 255952989327691129100526169752336227509,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 489181898651838970088043833215529174119,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 489181898651838970088043833215529174293,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              "picard_interior_margin": {
                "numerator": 255105774935,
                "denominator": 340282366920938463463374607431768211456
              },
              "domain_lower_bounds": [
                {
                  "numerator": 1,
                  "denominator": 1
                }
              ],
              "method": "direct_source_box_Picard_Taylor_dyadic128_v1"
            },
            "true_increment_bounds": {
              "lo": {
                "numerator": -166061599998885143480042879,
                "denominator": 85070591730234615865843651857942052864
              },
              "hi": {
                "numerator": -83030799999442571740021439,
                "denominator": 42535295865117307932921825928971026432
              }
            },
            "endpoint_readout_bounds": {
              "lo": {
                "numerator": -664246842717398342949410301,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -664246842717398342949410295,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            "failed_tube": null,
            "status": "admitted",
            "unavailable_reasons": [],
            "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
            "law": "normalized_sine_reciprocal_exchange",
            "clock": "tau=e*t",
            "capacity": [
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              }
            ],
            "state_order": [
              "x_0",
              "x_1",
              "x_2",
              "x_3",
              "x_4",
              "x_5",
              "x_6",
              "x_7",
              "x_8",
              "x_9",
              "x_10",
              "x_11",
              "x_12",
              "x_13",
              "x_14",
              "x_15",
              "x_16",
              "x_17",
              "theta_0",
              "theta_1",
              "theta_2",
              "theta_3",
              "theta_4",
              "theta_5",
              "theta_6",
              "theta_7",
              "theta_8",
              "theta_9",
              "theta_10",
              "theta_11",
              "theta_12",
              "theta_13",
              "theta_14",
              "theta_15",
              "theta_16",
              "theta_17"
            ],
            "scope": [
              "fixed_two_port_C9_support_and_full_thirty_six_coordinate_source_box",
              "complete_shared_sine_rates_with_both_rows_transformed_to_fast_clock",
              "supplied_phase_dipole_then_unforced_continuous_flow",
              "zero_phase_increment_means_no_event_and_preserves_all_source_coordinates",
              "one_fixed_Picard_Taylor_step_without_retry_or_adaptive_budget",
              "direct_source_box_coefficients_and_whole_tube_derivative_remainder",
              "readout_increment_cancels_the_same_initial_form_coordinate_symbolically",
              "independent_of_inverse_error_bound_target_root_or_forward_verdict",
              "global_smooth_domain_is_not_acute_chart_or_identity_retention",
              "primitive_source_enclosure_is_not_acquisition_or_calibration_evidence",
              "no_sensor_gain_noise_realization_or_physical_measurement"
            ]
          }
        },
        {
          "schema": "tnfr.sine-two-port-readout.v1",
          "report": {
            "initial_form_bounds": [
              {
                "lo": {
                  "numerator": 185608563775077592171731362127020771763,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887538796085865681063510385883,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775037088469214828431720685017,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943759272117303707107930171255,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057340984416840658568716731,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528670492208420329284358367,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775061013197959072386743624067,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887530506598979536193371812035,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 92804281887362609335000880194448344313,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563774725218670001760388896688629,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943847366378179789682961524731,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775389465512719158731846098927,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943763417746190461683262651591,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775053670984761846733050606367,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343198134327551143445337,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764335799533581887785861335,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343641056645868502379093,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471882167955132080733562797387,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775000052042038237536059435309,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 11600535235937503252627389846003714707,
                  "denominator": 21267647932558653966460912964485513216
                }
              },
              {
                "lo": {
                  "numerator": 185608563775114636567901214745065674785,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943778659141975303686266418697,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057344969532751395679601459,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528672484766375697839800731,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 46402140943764336352943598209406809659,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775057345411774392837627238639,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057345854496250597119923509,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471882168231812031324639990439,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057346297218108366149162167,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 185608563775057346297218108366149162171,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673369969983064162632371,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346739939966128325264745,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 23201070471882168397832727988547099807,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 185608563775057347182661823908376798459,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943764336906225849633683227087,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775057347624903398534732908351,
                  "denominator": 340282366920938463463374607431768211456
                }
              }
            ],
            "initial_phase_bounds": [
              {
                "lo": {
                  "numerator": -730483485860054314957916133060689636635,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -1460966971720108629915832266121379273107,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1098099855051033967936984358378114238629,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -549049927525516983968492179189057119231,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -152235988150546231584862048750264947999,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -608943952602184926339448195001059791829,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -14973506269166985804876491002327766053,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -119788050153335886439011928018622128257,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 113609611006436942756091027495674017391,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 454438444025747771024364109982696069731,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 193363290753531895222554475563666181861,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 773453163014127580890217902254664727611,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 1347679657193211238353593940255983220579,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 673839828596605619176796970127991610373,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 918417779821030139127015130028493368673,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 1836835559642060278254030260056986737513,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 2325991462090909319851566077340371278063,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1162995731045454659925783038670185639115,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -1415646360153946684570013005901794828931,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -1415646360153946684570013005901794828765,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1143420466617195913430377571131952149895,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -35731889581787372294699299097873504679,
                  "denominator": 10633823966279326983230456482242756608
                }
              },
              {
                "lo": {
                  "numerator": -227547889323262018110715160053361232217,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -227547889323262018110715160053361232175,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -84620330996112529144055428944039290259,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -676962647968900233152443431552314321903,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -221866869322376196082462958765415790059,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -110933434661188098041231479382707894987,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -210504829320604551177408403509349673119,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -210504829320604551177408403509349672947,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 22724080003543289810109110512132233879,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 22724080003543289810109110512132234051,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 31994123665961391137565771219042028417,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 255952989327691129100526169752336227509,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 489181898651838970088043833215529174119,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 489181898651838970088043833215529174293,
                  "denominator": 340282366920938463463374607431768211456
                }
              }
            ],
            "phase_increment": {
              "numerator": 0,
              "denominator": 1
            },
            "probe_duration": {
              "numerator": 633318697598975,
              "denominator": 18889465931478580854784
            },
            "order": 4,
            "reference_model": {
              "storage_scale": 1.0,
              "epi_weight": 0.9990234375,
              "phase_weight": 0.0009765625,
              "phase_domain": "regular"
            },
            "geometry": {
              "nodes": [
                0,
                1,
                2,
                3,
                4,
                5,
                6,
                7,
                8,
                9,
                10,
                11,
                12,
                13,
                14,
                15,
                16,
                17
              ],
              "edges": [
                [
                  0,
                  1
                ],
                [
                  0,
                  8
                ],
                [
                  0,
                  9
                ],
                [
                  1,
                  2
                ],
                [
                  1,
                  10
                ],
                [
                  2,
                  3
                ],
                [
                  3,
                  4
                ],
                [
                  4,
                  5
                ],
                [
                  5,
                  6
                ],
                [
                  6,
                  7
                ],
                [
                  7,
                  8
                ],
                [
                  9,
                  10
                ],
                [
                  9,
                  17
                ],
                [
                  10,
                  11
                ],
                [
                  11,
                  12
                ],
                [
                  12,
                  13
                ],
                [
                  13,
                  14
                ],
                [
                  14,
                  15
                ],
                [
                  15,
                  16
                ],
                [
                  16,
                  17
                ]
              ],
              "incidence": [
                [
                  -1,
                  -1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  1,
                  0,
                  0,
                  -1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  1,
                  0,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  -1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1
                ]
              ],
              "tree_edge_indices": [
                0,
                1,
                2,
                3,
                4,
                10,
                12,
                5,
                13,
                9,
                19,
                6,
                14,
                8,
                18,
                15,
                17
              ],
              "fundamental_cycles": [
                [
                  4,
                  5,
                  6,
                  7,
                  8,
                  0,
                  1,
                  2,
                  3
                ],
                [
                  9,
                  10,
                  1,
                  0
                ],
                [
                  13,
                  14,
                  15,
                  16,
                  17,
                  9,
                  0,
                  1,
                  10,
                  11,
                  12
                ]
              ],
              "cycle_rows": [
                [
                  1,
                  -1,
                  0,
                  1,
                  0,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  -1,
                  0,
                  1,
                  0,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  1,
                  0,
                  -1,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  -1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              ],
              "bridge_edge_indices": [],
              "cycle_rank": 3,
              "short_cycle_span_rank": 1,
              "scope": [
                "connected_simple_undirected_phase_support_without_self_loops",
                "node_order_and_cycle_basis_are_coordinates_not_physical_selectors",
                "all_support_edges_retained_independently_of_transport_weights",
                "integer_fundamental_cycles_and_exact_rational_short_cycle_rank",
                "32_node_50_edge_evaluation_budget_is_not_a_physical_restriction",
                "no_graph_write_live_phase_admission_or_trajectory_claim"
              ]
            },
            "degrees": [
              3,
              3,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              3,
              3,
              2,
              2,
              2,
              2,
              2,
              2,
              2
            ],
            "dipole": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": -1,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              }
            ],
            "post_event_initial_box": [
              {
                "lo": {
                  "numerator": 185608563775077592171731362127020771763,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887538796085865681063510385883,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775037088469214828431720685017,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943759272117303707107930171255,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057340984416840658568716731,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528670492208420329284358367,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775061013197959072386743624067,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887530506598979536193371812035,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 92804281887362609335000880194448344313,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563774725218670001760388896688629,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943847366378179789682961524731,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775389465512719158731846098927,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943763417746190461683262651591,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775053670984761846733050606367,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343198134327551143445337,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764335799533581887785861335,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343641056645868502379093,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471882167955132080733562797387,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775000052042038237536059435309,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 11600535235937503252627389846003714707,
                  "denominator": 21267647932558653966460912964485513216
                }
              },
              {
                "lo": {
                  "numerator": 185608563775114636567901214745065674785,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943778659141975303686266418697,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057344969532751395679601459,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528672484766375697839800731,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 46402140943764336352943598209406809659,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775057345411774392837627238639,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057345854496250597119923509,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471882168231812031324639990439,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057346297218108366149162167,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 185608563775057346297218108366149162171,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673369969983064162632371,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346739939966128325264745,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 23201070471882168397832727988547099807,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 185608563775057347182661823908376798459,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943764336906225849633683227087,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775057347624903398534732908351,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -730483485860054314957916133060689636635,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -1460966971720108629915832266121379273107,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1098099855051033967936984358378114238629,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -549049927525516983968492179189057119231,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -152235988150546231584862048750264947999,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -608943952602184926339448195001059791829,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -14973506269166985804876491002327766053,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -119788050153335886439011928018622128257,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 113609611006436942756091027495674017391,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 454438444025747771024364109982696069731,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 193363290753531895222554475563666181861,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 773453163014127580890217902254664727611,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 1347679657193211238353593940255983220579,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 673839828596605619176796970127991610373,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 918417779821030139127015130028493368673,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 1836835559642060278254030260056986737513,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 2325991462090909319851566077340371278063,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 1162995731045454659925783038670185639115,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -1415646360153946684570013005901794828931,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -1415646360153946684570013005901794828765,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1143420466617195913430377571131952149895,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -35731889581787372294699299097873504679,
                  "denominator": 10633823966279326983230456482242756608
                }
              },
              {
                "lo": {
                  "numerator": -227547889323262018110715160053361232217,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -227547889323262018110715160053361232175,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -84620330996112529144055428944039290259,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -676962647968900233152443431552314321903,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -221866869322376196082462958765415790059,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -110933434661188098041231479382707894987,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -210504829320604551177408403509349673119,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -210504829320604551177408403509349672947,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 22724080003543289810109110512132233879,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 22724080003543289810109110512132234051,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 31994123665961391137565771219042028417,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 255952989327691129100526169752336227509,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 489181898651838970088043833215529174119,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 489181898651838970088043833215529174293,
                  "denominator": 340282366920938463463374607431768211456
                }
              }
            ],
            "baseline_readout_bounds": {
              "lo": {
                "numerator": -664246842717398342949410301,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -664246842717398342949410295,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            "step": {
              "time": {
                "numerator": 0,
                "denominator": 1
              },
              "duration": {
                "numerator": 633318697598975,
                "denominator": 18889465931478580854784
              },
              "order": 4,
              "initial_box": [
                {
                  "lo": {
                    "numerator": 185608563775077592171731362127020771763,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887538796085865681063510385883,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775037088469214828431720685017,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943759272117303707107930171255,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057340984416840658568716731,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528670492208420329284358367,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775061013197959072386743624067,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887530506598979536193371812035,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887362609335000880194448344313,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563774725218670001760388896688629,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943847366378179789682961524731,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775389465512719158731846098927,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943763417746190461683262651591,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775053670984761846733050606367,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343198134327551143445337,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764335799533581887785861335,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343641056645868502379093,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471882167955132080733562797387,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775000052042038237536059435309,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 11600535235937503252627389846003714707,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775114636567901214745065674785,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943778659141975303686266418697,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057344969532751395679601459,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528672484766375697839800731,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764336352943598209406809659,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775057345411774392837627238639,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057345854496250597119923509,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471882168231812031324639990439,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057346297218108366149162167,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057346297218108366149162171,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673369969983064162632371,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057346739939966128325264745,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 23201070471882168397832727988547099807,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 185608563775057347182661823908376798459,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764336906225849633683227087,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775057347624903398534732908351,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -730483485860054314957916133060689636635,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1460966971720108629915832266121379273107,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1098099855051033967936984358378114238629,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -549049927525516983968492179189057119231,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -152235988150546231584862048750264947999,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -608943952602184926339448195001059791829,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -14973506269166985804876491002327766053,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -119788050153335886439011928018622128257,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 113609611006436942756091027495674017391,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 454438444025747771024364109982696069731,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 193363290753531895222554475563666181861,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 773453163014127580890217902254664727611,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1347679657193211238353593940255983220579,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 673839828596605619176796970127991610373,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 918417779821030139127015130028493368673,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 1836835559642060278254030260056986737513,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 2325991462090909319851566077340371278063,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1162995731045454659925783038670185639115,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1415646360153946684570013005901794828931,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1415646360153946684570013005901794828765,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1143420466617195913430377571131952149895,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -35731889581787372294699299097873504679,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": -227547889323262018110715160053361232217,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -227547889323262018110715160053361232175,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -84620330996112529144055428944039290259,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -676962647968900233152443431552314321903,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -221866869322376196082462958765415790059,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -110933434661188098041231479382707894987,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -210504829320604551177408403509349673119,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -210504829320604551177408403509349672947,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 22724080003543289810109110512132233879,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 22724080003543289810109110512132234051,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 31994123665961391137565771219042028417,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 255952989327691129100526169752336227509,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 489181898651838970088043833215529174119,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 489181898651838970088043833215529174293,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              "tube": [
                {
                  "lo": {
                    "numerator": 185608563775075060662726405292762968097,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887550187876387985718158874599,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775014304888170369412561122199,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887519809989109884283537165753,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528670491832904976037506131,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057340984500288759181712293,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887530277113445325652173592343,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775065143937574859929288322943,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887175790038538396541538591403,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563774766734069215645889434773227,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 23201070471918493764188159153913501791,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 185608563775763104105644126037665604735,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775049540245146059186653819435,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943763532488957566953968763883,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343197987177552888587567,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764335799537669448821364483,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528671820483236886794013743,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 46402140943764335910467048130927072001,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887467799248223652187345731421,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775007213547103897020547349537,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887553737531417780413408276865,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 92804281887589545056746048905142254363,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057344969277636193201856705,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057344971828786018956048693,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 11600535235941084088235899534913891991,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 23201070471882168176471799143706085513,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528672927248125161120996803,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 5800267617970542057953007839749932937,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057346297218108091271231913,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057346297218108641027092081,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764336684984991461434389713,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775057346739939966404059816017,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057347182661823611670421237,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057347182661824186585076229,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057347622607288759334500261,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528673812579261043723213267,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1460966971720108629915832394139005608671,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -365241742930027157478957779040441377555,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -1098099855051033967936985508384491170371,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -549049927525516983968492115177645997705,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -304471976301092463169724110620504462975,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -304471976301092463169723980520270420981,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -119788050153335886439012398634998437573,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -119788050153335886439007694670258601641,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 454438444025747771024351639418029872945,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 227219222012873885512182747922664115551,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 773453163014127580890216516392032566073,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 386726581507063790445115186409665462115,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 1347679657193211238353589706907622479855,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1347679657193211238353594410872359220351,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1836835559642060278254030254694760929719,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 918417779821030139127015153058997875215,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 2325991462090909319851565824550111223731,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 581497865522727329962891526418128467059,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -176955795019243335571251884956583140771,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -1415646360153946684570012775240695545103,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -571710233308597956715188900897391699677,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -571710233308597956715187748682747080161,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -113773944661631009055357669363390619253,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -910191557293048072442860560558700119713,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -676962647968900233152443431827201387451,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -84620330996112529144055428909679424667,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -443733738644752392164925917805709487091,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -443733738644752392164925917255953672975,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -52626207330151137794352100946056895023,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -105252414660302275588704201617235882987,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 11362040001771644905054555118627163453,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 710127500110727806565909712094066907,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": 63988247331922782275131542369364325669,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 127976494663845564550263085013611646861,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 489181898651838970088043753558186416181,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 244590949325919485044022273966295370003,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              "series": [
                [
                  {
                    "lo": {
                      "numerator": 185608563775077592171731362127020771763,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 92804281887538796085865681063510385883,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 604041571227371869008847593147947,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 604041571227371869008847593147957,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -171873663903115933947645979355419,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -21484207987889491743455747419427,
                      "denominator": 10633823966279326983230456482242756608
                    }
                  },
                  {
                    "lo": {
                      "numerator": 460095938480280570449769729374521,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 460095938480280570449769729374531,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -27934731684834233718220327037533,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -111738926739336934872881308150129,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775037088469214828431720685017,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 46402140943759272117303707107930171255,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -302020785611693689171939031343827,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -151010392805846844585969515671911,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 687494655916563044474429092597959,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 687494655916563044474429092597971,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -457053862587249402801417381138277,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -228526931293624701400708690569133,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 186673849665855868209494597881149,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 46668462416463967052373649470289,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057340984416840658568716731,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 92804281887528670492208420329284358367,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -8290150864980238969980185,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -518134429061264935623761,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -61815851644430802899668565461857,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -123631703288861605799337130923703,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -16630096881239522774894195541143,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": -266081550099832364398307128658279,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 133816324206345759809857356277411,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 267632648412691519619714712554829,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775061013197959072386743624067,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 92804281887530506598979536193371812035,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 109514741487637847743142229901369,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 54757370743818923871571114950689,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2531247383635451443186253989550173,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1265623691817725721593126994775081,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1032975988619171337870009302436215,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 258243997154792834467502325609055,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1068535542981281629689066613346013,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1068535542981281629689066613346007,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887362609335000880194448344313,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563774725218670001760388896688629,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1238245005409548085655743586855639,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -9905960043276384685245948694845103,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 7456848717829210413005998335352925,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 932106089728651301625749791919117,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1037574699800794048003229360747325,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -4150298799203176192012917442989291,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 453651499028382907768136666414853,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 907302998056765815536273332829709,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 46402140943847366378179789682961524731,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 185608563775389465512719158731846098927,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 9905960043276384685245948220566539,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 2476490010819096171311487055141637,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1864212179457302608556215456162921,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -7456848717829210434224861824651673,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 4150298798781258034337693774022853,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 2075149399390629017168846887011431,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -908876022821105372310977409122171,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -113609502852638171538872176140271,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 46402140943763417746190461683262651591,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 185608563775053670984761846733050606367,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -109514741487637932618595704556917,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -27378685371909483154648926139227,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 2531247381103942504454256667879099,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 1265623690551971252227128333939555,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -522780093401491340554391571078667,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -1045560186802982681108783142157329,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 274647148950441836438885826464591,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 549294297900883672877771652929185,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057343198134327551143445337,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 46402140943764335799533581887785861335,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -458971297497817245405203,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -1835885189991268981620803,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -13689340961478254549734875638521,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -27378681922956509099469751277031,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 228084591418190564131960563461377,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 114042295709095282065980281730691,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -24788601939760307520516465062481,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": -198308815518082460164131720499845,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057343641056645868502379093,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 23201070471882167955132080733562797387,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 10124043877724630157596113,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 5062021938862315078798061,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 151010387285849950216211523056155,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 75505193642924975108105761528083,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -169482349837108763366974269653003,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -169482349837108763366974269652993,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 156903725604965532081083599961891,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 78451862802482766040541799980949,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775000052042038237536059435309,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 11600535235937503252627389846003714707,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -26700025920207904187982041547093,
                      "denominator": 5316911983139663491615228241121378304
                    },
                    "hi": {
                      "numerator": -854400829446652934015425329506971,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1239874696358547772792735095955031,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 1239874696358547772792735095955043,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -674910373808929652636585666652887,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -674910373808929652636585666652877,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 73099646789092676292445734229407,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 292398587156370705169782936917635,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775114636567901214745065674785,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 46402140943778659141975303686266418697,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 854400829445988855877633913826825,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1708801658891977711755267827653659,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1239874696357773046305232672338333,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1239874696357773046305232672338321,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 337455186921310054740531466632177,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 674910373842620109481062933264365,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -292145080861907344777383699797163,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -73036270215476836194345924949289,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057344969532751395679601459,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 92804281887528672484766375697839800731,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 28646020100649728100816533,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 14323010050324864050408271,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 427200400399987120186414316337955,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 213600200199993560093207158168983,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -174522944418828346434569572314417,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -349045888837656692869139144628825,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 90262631392596040594100170783369,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 180525262785192081188200341566745,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 46402140943764336352943598209406809659,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 185608563775057345411774392837627238639,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 55563862071106423,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 444510896568851393,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 7161504266137296654939985,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 1790376066534324163734999,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 35600029504785119295894132271945,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 17800014752392559647947066135975,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -61430746103538806307696805283385,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -61430746103538806307696805283379,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057345854496250597119923509,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 23201070471882168231812031324639990439,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1192069197,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 4768276797,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 111127716402281231,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 111127716402281243,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1193583909335253957155745,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 1193583909335253957155755,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 8900006410726221503615483629847,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 8900006410726221503615483629853,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057346297218108366149162167,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 185608563775057346297218108366149162171,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -3426568047,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -856642009,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -51100683808451779,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -51100683808451767,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 25549644778835267,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 3193705597354409,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -10406052374448650193,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -5203026187224325093,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528673369969983064162632371,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057346739939966128325264745,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -204402746855218433,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -204402746855218423,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1457291817294191,
                      "denominator": 5316911983139663491615228241121378304
                    },
                    "hi": {
                      "numerator": 23316669076707059,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -298416763890477518516019,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -1193667055561910074064065,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -8900006410670813383070910810039,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -8900006410670813383070910810033,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 23201070471882168397832727988547099807,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 185608563775057347182661823908376798459,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -8934700763917009,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -17869401527834013,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -3581001316272236111186603,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -7162002632544472222373195,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -71200059009293368246099417109597,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -71200059009293368246099417109587,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 30715373051718637206311616805567,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 15357686525859318603155808402785,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 46402140943764336906225849633683227087,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 185608563775057347624903398534732908351,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -28648012544480824406201265,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -3581001568060103050775157,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -427200400399322835196512877637561,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -427200400399322835196512877637549,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 174522944418740662282852026978947,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 21815368052342582785356503372369,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -180525262780902323535097133560629,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -180525262780902323535097133560623,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -730483485860054314957916133060689636635,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -1460966971720108629915832266121379273107,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 7171688870937233426723,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1792922217734308356681,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 53479067834791488558417515199,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 213916271339165954233670060797,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -143160405678966982627276270911,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -143160405678966982627276270909,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 69535888902903889415303516313,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 34767944451451944707651758157,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -1098099855051033967936984358378114238629,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -549049927525516983968492179189057119231,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -7172308767282657690807,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -3586154383641328845403,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -106958135716893738386537492173,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -213916271433787476773074984345,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 71106926767277870514197332925,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 35553463383638935257098666463,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -58084199340626427503382855863,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -29042099670313213751691427931,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -152235988150546231584862048750264947999,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -608943952602184926339448195001059791829,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1289754138371858771753,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 644877069185929385877,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 38468419748373241638324305151,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 150267264642082975149704317,
                      "denominator": 1329227995784915872903807060280344576
                    }
                  },
                  {
                    "lo": {
                      "numerator": 20698042281935545986174853247,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 41396084563871091972349706495,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -41637399292013279877004729599,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -83274798584026559754009459197,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -14973506269166985804876491002327766053,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -119788050153335886439011928018622128257,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 26406554215518585744615,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 3300819276939823218077,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": 196901531424247044582268006933,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 393803062848494089164536013867,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -321413946434947262354854927179,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -160706973217473631177427463589,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 41559802721816939296541873251,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 332478421774535514372334986009,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 113609611006436942756091027495674017391,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 454438444025747771024364109982696069731,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -19447889472052117958441,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -77791557888208471833763,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2320223525573760907698981536969,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -2320223525573760907698981536967,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 80711215650190438456926863865,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 645689725201523507655414910921,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -282310383297340649815074670547,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -141155191648670324907537335273,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 193363290753531895222554475563666181861,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 773453163014127580890217902254664727611,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 155583115776416943815099,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 77791557888208471907551,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 2320223525573760914301302109877,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 2320223525573760914301302109879,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1291379450271765764837246120695,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1291379450271765764837246120693,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 565599670461849650943094225411,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 565599670461849650943094225413,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 1347679657193211238353593940255983220579,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 673839828596605619176796970127991610373,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -825204818822310761097,
                      "denominator": 5316911983139663491615228241121378304
                    },
                    "hi": {
                      "numerator": -26406554202313944355103,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -787606124909300658750003191903,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -393803062454650329375001595951,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 650659124039287742784904313877,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 650659124039287742784904313879,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -341829530202373898264067181747,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -170914765101186949132033590873,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 918417779821030139127015130028493368673,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 1836835559642060278254030260056986737513,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 71405231798889995531,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 285620927195559982125,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 2129742210840250637763538181,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 4259484421680501275527076363,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -141938575305516484744423126939,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -141938575305516484744423126937,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 123408909695055558785828452851,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 30852227423763889696457113213,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 2325991462090909319851566077340371278063,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 1162995731045454659925783038670185639115,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1575065129009089570497,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -24610392640767024539,
                      "denominator": 2658455991569831745807614120560689152
                    }
                  },
                  {
                    "lo": {
                      "numerator": -46987389237076224576572043851,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -23493694618538112288286021925,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 52735003109446771748594080049,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 52735003109446771748594080051,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -24410560939278268879896860279,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -12205280469639134439948430139,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -1415646360153946684570013005901794828931,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1415646360153946684570013005901794828765,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -25869314989835807926371,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -25869314989835807926369,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1506996782899749749087102313,
                      "denominator": 1329227995784915872903807060280344576
                    },
                    "hi": {
                      "numerator": -192895588211167967883149096063,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 105000323141561028938304491575,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 13125040392695128617288061447,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -90980809714589871069148987867,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -90980809714589871069148987865,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -1143420466617195913430377571131952149895,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -35731889581787372294699299097873504679,
                      "denominator": 10633823966279326983230456482242756608
                    }
                  },
                  {
                    "lo": {
                      "numerator": 25869728252998991312573,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 25869728252998991312575,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 96447794105523719248401157531,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 385791176422094876993604630125,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -210000646293604957693610436679,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -210000646293604957693610436677,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 90901930371988912132374357063,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 90901930371988912132374357065,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -227547889323262018110715160053361232217,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -227547889323262018110715160053361232175,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -8913305437849251805957,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -8913305437849251805955,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -33231209880007054126062518365,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -132924839520028216504250073459,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 54303404436152374958302630899,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 13575851109038093739575657725,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -56171046097188246271159970507,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -28085523048594123135579985253,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -84620330996112529144055428944039290259,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -676962647968900233152443431552314321903,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -37355230054097,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -2334701878381,
                      "denominator": 10633823966279326983230456482242756608
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1114163137203319950893,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -278540784300829987723,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -22154139177229475847830715195,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -22154139177229475847830715193,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 4778596106064759250307275947,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 19114384424259037001229103789,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -221866869322376196082462958765415790059,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -110933434661188098041231479382707894987,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -741833,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -92729,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -34577763628543,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -17288881814271,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -371387670388879092563,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -371387670388879092561,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -173079193546526620668639519,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": -2769267096744425930698232303,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -210504829320604551177408403509349673119,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -210504829320604551177408403509349672947,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1066187,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 533095,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 15900149410539,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 3975037352635,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -3974929194111,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -7949858388221,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 3237878392180667,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 809469598045167,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 22724080003543289810109110512132233879,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 22724080003543289810109110512132234051,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2781001,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -2780999,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -3627529776105,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -29020238208839,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 371413541618524471055,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 371413541618524471057,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 2769267096727185506586671865,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 1384633548363592753293335933,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 31994123665961391137565771219042028417,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 255952989327691129100526169752336227509,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 9340107281817,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 37360429127269,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1114240671399912638177,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 557120335699956319089,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1384633698571457918957805509,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 11077069588571663351662444073,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -4778596106056861252167675629,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -9557192212113722504335351257,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 489181898651838970088043833215529174119,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 489181898651838970088043833215529174293,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 8913925332604413277671,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 8913925332604413277673,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 33231209879955380495717257823,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 132924839519821521982869031293,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -108606808872250183475851975691,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -108606808872250183475851975689,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 56171046095853473668363942853,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 28085523047926736834181971427,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ]
              ],
              "local_remainder_bounds": [
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                }
              ],
              "increment": [
                {
                  "lo": {
                    "numerator": 20252071073635861490970727,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 20252071073635861490970729,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -20252071073502270574714765,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -20252071073502270574714763,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -104230868862135305,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -208461737724270609,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 3671764990644987493875117,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 3671764990644987493875119,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -332123183233269834322617763,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -332123183233269834322617761,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 166061591616634917161308851,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 41515397904158729290327213,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -3671764990644994133774675,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -3671764990644994133774673,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -46164614493462413,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -11541153623365603,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 254592957298165971,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 63648239324541493,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -28646019391546748516832763,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -14323009695773374258416381,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 28646019391524483562670983,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 3580752423940560445333873,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 360162242735196267,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 720324485470392535,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 25637059351,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 25637059353,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 85,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 171,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -87,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -171,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -428321005,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": -3426568039,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -11932467139,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -11932467137,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1440715772825106267,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1440715772825106265,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 90170332818789,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 360681331275157,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -360702114990751,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -180351057495375,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 16215892429483,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 64863569717933,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 664011526443459,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 1328023052886919,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -978061943463845,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -3912247773855379,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 3912247773855379,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 978061943463845,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -2656046103707811,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -2656046103707809,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 28728550092619,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 28728550092621,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -158434907629781,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -158434907629779,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -650502270183321,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -81312783772915,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 650509198046821,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 325254599023411,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -112065692119349,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -224131384238697,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -5844683,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -5844681,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 1461301,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 2922603,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 448283552068419,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 448283552068421,
                    "denominator": 340282366920938463463374607431768211456
                  }
                }
              ],
              "endpoint": [
                {
                  "lo": {
                    "numerator": 92804281887548922121402498994255871245,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775097844242804997988511742495,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943754209099535331540286492563,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775016836398141326161145970257,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057340983999917183120175511,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764335245999979295780043879,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 11600535235941542810184357335889843699,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 185608563775064684962949717374237499189,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563774393095486768490554574070863,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943598273871692122638643517717,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887860794347976214283084358313,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775721588695952428566168716631,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775049999219771201738916831689,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887524999609885600869458415847,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343198041998322156520511,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764335799510499580539130129,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343641565831783098711035,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 181258363061579437149966632600682335,
                    "denominator": 332306998946228968225951765070086144
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563774942760003255144039025769783,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943735690000813786009756442447,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775171928606684263712191016751,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943792982151671065928047754189,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057344970973400366620386527,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764336242743350091655096633,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057345411774392863264297987,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471882168176471799107908037249,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057345854496250597119923849,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528672927248125298559961927,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057346297218108366149161993,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 11600535235941084143576131772884322625,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673369969983060736064331,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057346739939966121472128667,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057347182661823896444331317,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528673591330911948222165661,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057347623462682761907802081,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528673811731341380953901043,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -730483485860054314957915772379358361479,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1460966971720108629915831544758716722793,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1098099855051033967936985079782344220131,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -549049927525516983968492539891172109981,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -152235988150546231584862016318480089033,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -608943952602184926339448065273920355963,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -29947012538333971609752317993129088647,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -119788050153335886439009271972516354419,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 113609611006436942756089071371787089701,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 454438444025747771024356285487148358973,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 386726581507063790445112863375106219101,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 773453163014127580890225726750212438371,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 21057494643643925599274863815779367387,
                    "denominator": 5316911983139663491615228241121378304
                  },
                  "hi": {
                    "numerator": 1347679657193211238353591284209879512937,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1836835559642060278254030288785536829965,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 918417779821030139127015144392768415067,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 1162995731045454659925782959452731824141,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 2325991462090909319851565918905463648451,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1415646360153946684570014306906335195573,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1415646360153946684570014306906335195405,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1143420466617195913430376270113556056253,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -285855116654298978357594067528389014021,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -113773944661631009055357636059526675783,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -455095778646524036221430544238106703047,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -676962647968900233152443431552320166755,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -84620330996112529144055428944040020823,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -443733738644752392164925917530831580119,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -443733738644752392164925917530831579947,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -6578275916268892224294012609667177285,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": -210504829320604551177408403509349672945,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 22724080003543289810109110512132233877,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 22724080003543289810109110512132234051,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 63988247331922782275131542438085518135,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 255952989327691129100526169752342072715,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 244590949325919485044022140749540621269,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 244590949325919485044022140749540621357,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              "picard_interior_margin": {
                "numerator": 64254146499,
                "denominator": 85070591730234615865843651857942052864
              },
              "domain_lower_bounds": [
                {
                  "numerator": 1,
                  "denominator": 1
                }
              ],
              "method": "direct_source_box_Picard_Taylor_dyadic128_v1"
            },
            "true_increment_bounds": {
              "lo": {
                "numerator": -664246366466539668645235467,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -664246366466539668645235463,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            "endpoint_readout_bounds": {
              "lo": {
                "numerator": -166061651147992251449330721,
                "denominator": 42535295865117307932921825928971026432
              },
              "hi": {
                "numerator": -664246604591969005797322879,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            "failed_tube": null,
            "status": "admitted",
            "unavailable_reasons": [],
            "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
            "law": "normalized_sine_reciprocal_exchange",
            "clock": "tau=e*t",
            "capacity": [
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              }
            ],
            "state_order": [
              "x_0",
              "x_1",
              "x_2",
              "x_3",
              "x_4",
              "x_5",
              "x_6",
              "x_7",
              "x_8",
              "x_9",
              "x_10",
              "x_11",
              "x_12",
              "x_13",
              "x_14",
              "x_15",
              "x_16",
              "x_17",
              "theta_0",
              "theta_1",
              "theta_2",
              "theta_3",
              "theta_4",
              "theta_5",
              "theta_6",
              "theta_7",
              "theta_8",
              "theta_9",
              "theta_10",
              "theta_11",
              "theta_12",
              "theta_13",
              "theta_14",
              "theta_15",
              "theta_16",
              "theta_17"
            ],
            "scope": [
              "fixed_two_port_C9_support_and_full_thirty_six_coordinate_source_box",
              "complete_shared_sine_rates_with_both_rows_transformed_to_fast_clock",
              "supplied_phase_dipole_then_unforced_continuous_flow",
              "zero_phase_increment_means_no_event_and_preserves_all_source_coordinates",
              "one_fixed_Picard_Taylor_step_without_retry_or_adaptive_budget",
              "direct_source_box_coefficients_and_whole_tube_derivative_remainder",
              "readout_increment_cancels_the_same_initial_form_coordinate_symbolically",
              "independent_of_inverse_error_bound_target_root_or_forward_verdict",
              "global_smooth_domain_is_not_acute_chart_or_identity_retention",
              "primitive_source_enclosure_is_not_acquisition_or_calibration_evidence",
              "no_sensor_gain_noise_realization_or_physical_measurement"
            ]
          }
        },
        {
          "schema": "tnfr.sine-two-port-readout.v1",
          "report": {
            "initial_form_bounds": [
              {
                "lo": {
                  "numerator": 92804281887548922121402498994255871245,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775097844242804997988511742495,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943754209099535331540286492563,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775016836398141326161145970257,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057340983999917183120175511,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764335245999979295780043879,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 11600535235941542810184357335889843699,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": 185608563775064684962949717374237499189,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563774393095486768490554574070863,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943598273871692122638643517717,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 92804281887860794347976214283084358313,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775721588695952428566168716631,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775049999219771201738916831689,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887524999609885600869458415847,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343198041998322156520511,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764335799510499580539130129,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343641565831783098711035,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 181258363061579437149966632600682335,
                  "denominator": 332306998946228968225951765070086144
                }
              },
              {
                "lo": {
                  "numerator": 185608563774942760003255144039025769783,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943735690000813786009756442447,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775171928606684263712191016751,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943792982151671065928047754189,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057344970973400366620386527,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764336242743350091655096633,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057345411774392863264297987,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471882168176471799107908037249,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057345854496250597119923849,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528672927248125298559961927,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057346297218108366149161993,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 11600535235941084143576131772884322625,
                  "denominator": 21267647932558653966460912964485513216
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673369969983060736064331,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346739939966121472128667,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057347182661823896444331317,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528673591330911948222165661,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057347623462682761907802081,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528673811731341380953901043,
                  "denominator": 170141183460469231731687303715884105728
                }
              }
            ],
            "initial_phase_bounds": [
              {
                "lo": {
                  "numerator": -730483485860054314957915772379358361479,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -1460966971720108629915831544758716722793,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1098099855051033967936985079782344220131,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -549049927525516983968492539891172109981,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -152235988150546231584862016318480089033,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -608943952602184926339448065273920355963,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -29947012538333971609752317993129088647,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -119788050153335886439009271972516354419,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 113609611006436942756089071371787089701,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 454438444025747771024356285487148358973,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 386726581507063790445112863375106219101,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 773453163014127580890225726750212438371,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 21057494643643925599274863815779367387,
                  "denominator": 5316911983139663491615228241121378304
                },
                "hi": {
                  "numerator": 1347679657193211238353591284209879512937,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 1836835559642060278254030288785536829965,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 918417779821030139127015144392768415067,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 1162995731045454659925782959452731824141,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 2325991462090909319851565918905463648451,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1415646360153946684570014306906335195573,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -1415646360153946684570014306906335195405,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1143420466617195913430376270113556056253,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -285855116654298978357594067528389014021,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -113773944661631009055357636059526675783,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -455095778646524036221430544238106703047,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -676962647968900233152443431552320166755,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -84620330996112529144055428944040020823,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": -443733738644752392164925917530831580119,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -443733738644752392164925917530831579947,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -6578275916268892224294012609667177285,
                  "denominator": 10633823966279326983230456482242756608
                },
                "hi": {
                  "numerator": -210504829320604551177408403509349672945,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 22724080003543289810109110512132233877,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 22724080003543289810109110512132234051,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 63988247331922782275131542438085518135,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 255952989327691129100526169752342072715,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 244590949325919485044022140749540621269,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 244590949325919485044022140749540621357,
                  "denominator": 170141183460469231731687303715884105728
                }
              }
            ],
            "phase_increment": {
              "numerator": 1,
              "denominator": 2
            },
            "probe_duration": {
              "numerator": 158329674399743,
              "denominator": 2361183241434822606848
            },
            "order": 4,
            "reference_model": {
              "storage_scale": 1.0,
              "epi_weight": 0.9990234375,
              "phase_weight": 0.0009765625,
              "phase_domain": "regular"
            },
            "geometry": {
              "nodes": [
                0,
                1,
                2,
                3,
                4,
                5,
                6,
                7,
                8,
                9,
                10,
                11,
                12,
                13,
                14,
                15,
                16,
                17
              ],
              "edges": [
                [
                  0,
                  1
                ],
                [
                  0,
                  8
                ],
                [
                  0,
                  9
                ],
                [
                  1,
                  2
                ],
                [
                  1,
                  10
                ],
                [
                  2,
                  3
                ],
                [
                  3,
                  4
                ],
                [
                  4,
                  5
                ],
                [
                  5,
                  6
                ],
                [
                  6,
                  7
                ],
                [
                  7,
                  8
                ],
                [
                  9,
                  10
                ],
                [
                  9,
                  17
                ],
                [
                  10,
                  11
                ],
                [
                  11,
                  12
                ],
                [
                  12,
                  13
                ],
                [
                  13,
                  14
                ],
                [
                  14,
                  15
                ],
                [
                  15,
                  16
                ],
                [
                  16,
                  17
                ]
              ],
              "incidence": [
                [
                  -1,
                  -1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  1,
                  0,
                  0,
                  -1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  1,
                  0,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  -1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1,
                  0
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  -1
                ],
                [
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1
                ]
              ],
              "tree_edge_indices": [
                0,
                1,
                2,
                3,
                4,
                10,
                12,
                5,
                13,
                9,
                19,
                6,
                14,
                8,
                18,
                15,
                17
              ],
              "fundamental_cycles": [
                [
                  4,
                  5,
                  6,
                  7,
                  8,
                  0,
                  1,
                  2,
                  3
                ],
                [
                  9,
                  10,
                  1,
                  0
                ],
                [
                  13,
                  14,
                  15,
                  16,
                  17,
                  9,
                  0,
                  1,
                  10,
                  11,
                  12
                ]
              ],
              "cycle_rows": [
                [
                  1,
                  -1,
                  0,
                  1,
                  0,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  -1,
                  0,
                  1,
                  0,
                  -1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0
                ],
                [
                  1,
                  0,
                  -1,
                  0,
                  1,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  0,
                  -1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1,
                  1
                ]
              ],
              "bridge_edge_indices": [],
              "cycle_rank": 3,
              "short_cycle_span_rank": 1,
              "scope": [
                "connected_simple_undirected_phase_support_without_self_loops",
                "node_order_and_cycle_basis_are_coordinates_not_physical_selectors",
                "all_support_edges_retained_independently_of_transport_weights",
                "integer_fundamental_cycles_and_exact_rational_short_cycle_rank",
                "32_node_50_edge_evaluation_budget_is_not_a_physical_restriction",
                "no_graph_write_live_phase_admission_or_trajectory_claim"
              ]
            },
            "degrees": [
              3,
              3,
              2,
              2,
              2,
              2,
              2,
              2,
              2,
              3,
              3,
              2,
              2,
              2,
              2,
              2,
              2,
              2
            ],
            "dipole": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": -1,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 0,
                "denominator": 1
              }
            ],
            "post_event_initial_box": [
              {
                "lo": {
                  "numerator": 92804281887548922121402498994255871245,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775097844242804997988511742495,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 46402140943754209099535331540286492563,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 185608563775016836398141326161145970257,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057340983999917183120175511,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764335245999979295780043879,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 11600535235941542810184357335889843699,
                  "denominator": 21267647932558653966460912964485513216
                },
                "hi": {
                  "numerator": 185608563775064684962949717374237499189,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563774393095486768490554574070863,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943598273871692122638643517717,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 92804281887860794347976214283084358313,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775721588695952428566168716631,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775049999219771201738916831689,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887524999609885600869458415847,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343198041998322156520511,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764335799510499580539130129,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057343641565831783098711035,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 181258363061579437149966632600682335,
                  "denominator": 332306998946228968225951765070086144
                }
              },
              {
                "lo": {
                  "numerator": 185608563774942760003255144039025769783,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943735690000813786009756442447,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775171928606684263712191016751,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943792982151671065928047754189,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057344970973400366620386527,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 46402140943764336242743350091655096633,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057345411774392863264297987,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 23201070471882168176471799107908037249,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057345854496250597119923849,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528672927248125298559961927,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057346297218108366149161993,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 11600535235941084143576131772884322625,
                  "denominator": 21267647932558653966460912964485513216
                }
              },
              {
                "lo": {
                  "numerator": 92804281887528673369969983060736064331,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 185608563775057346739939966121472128667,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057347182661823896444331317,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528673591330911948222165661,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 185608563775057347623462682761907802081,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 92804281887528673811731341380953901043,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -730483485860054314957915772379358361479,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": -1460966971720108629915831544758716722793,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1098099855051033967936985079782344220131,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -549049927525516983968492539891172109981,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -152235988150546231584862016318480089033,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -608943952602184926339448065273920355963,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -29947012538333971609752317993129088647,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": -119788050153335886439009271972516354419,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 156144906871554250689010897300758116133,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 624579627486217002756043589203032464701,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 301655989776829174579269211517164166237,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 603311979553658349158538423034328332643,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 21057494643643925599274863815779367387,
                  "denominator": 5316911983139663491615228241121378304
                },
                "hi": {
                  "numerator": 1347679657193211238353591284209879512937,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 1836835559642060278254030288785536829965,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 918417779821030139127015144392768415067,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": 1162995731045454659925782959452731824141,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 2325991462090909319851565918905463648451,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1415646360153946684570014306906335195573,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -1415646360153946684570014306906335195405,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -1143420466617195913430376270113556056253,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -285855116654298978357594067528389014021,
                  "denominator": 85070591730234615865843651857942052864
                }
              },
              {
                "lo": {
                  "numerator": -113773944661631009055357636059526675783,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": -455095778646524036221430544238106703047,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              {
                "lo": {
                  "numerator": -676962647968900233152443431552320166755,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -84620330996112529144055428944040020823,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              {
                "lo": {
                  "numerator": -443733738644752392164925917530831580119,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": -443733738644752392164925917530831579947,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": -6578275916268892224294012609667177285,
                  "denominator": 10633823966279326983230456482242756608
                },
                "hi": {
                  "numerator": -210504829320604551177408403509349672945,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 22724080003543289810109110512132233877,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 22724080003543289810109110512132234051,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 63988247331922782275131542438085518135,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 255952989327691129100526169752342072715,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              {
                "lo": {
                  "numerator": 244590949325919485044022140749540621269,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 244590949325919485044022140749540621357,
                  "denominator": 170141183460469231731687303715884105728
                }
              }
            ],
            "baseline_readout_bounds": {
              "lo": {
                "numerator": -166061651147992251449330721,
                "denominator": 42535295865117307932921825928971026432
              },
              "hi": {
                "numerator": -664246604591969005797322879,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            "step": {
              "time": {
                "numerator": 0,
                "denominator": 1
              },
              "duration": {
                "numerator": 158329674399743,
                "denominator": 2361183241434822606848
              },
              "order": 4,
              "initial_box": [
                {
                  "lo": {
                    "numerator": 92804281887548922121402498994255871245,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775097844242804997988511742495,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943754209099535331540286492563,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775016836398141326161145970257,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057340983999917183120175511,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764335245999979295780043879,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 11600535235941542810184357335889843699,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 185608563775064684962949717374237499189,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563774393095486768490554574070863,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943598273871692122638643517717,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887860794347976214283084358313,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775721588695952428566168716631,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775049999219771201738916831689,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887524999609885600869458415847,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343198041998322156520511,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764335799510499580539130129,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343641565831783098711035,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 181258363061579437149966632600682335,
                    "denominator": 332306998946228968225951765070086144
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563774942760003255144039025769783,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943735690000813786009756442447,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775171928606684263712191016751,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943792982151671065928047754189,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057344970973400366620386527,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943764336242743350091655096633,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057345411774392863264297987,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 23201070471882168176471799107908037249,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057345854496250597119923849,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528672927248125298559961927,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057346297218108366149161993,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 11600535235941084143576131772884322625,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673369969983060736064331,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057346739939966121472128667,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057347182661823896444331317,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528673591330911948222165661,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057347623462682761907802081,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528673811731341380953901043,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -730483485860054314957915772379358361479,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1460966971720108629915831544758716722793,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1098099855051033967936985079782344220131,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -549049927525516983968492539891172109981,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -152235988150546231584862016318480089033,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -608943952602184926339448065273920355963,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -29947012538333971609752317993129088647,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -119788050153335886439009271972516354419,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 156144906871554250689010897300758116133,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 624579627486217002756043589203032464701,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 301655989776829174579269211517164166237,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 603311979553658349158538423034328332643,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 21057494643643925599274863815779367387,
                    "denominator": 5316911983139663491615228241121378304
                  },
                  "hi": {
                    "numerator": 1347679657193211238353591284209879512937,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1836835559642060278254030288785536829965,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 918417779821030139127015144392768415067,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 1162995731045454659925782959452731824141,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 2325991462090909319851565918905463648451,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1415646360153946684570014306906335195573,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -1415646360153946684570014306906335195405,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1143420466617195913430376270113556056253,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -285855116654298978357594067528389014021,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -113773944661631009055357636059526675783,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -455095778646524036221430544238106703047,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -676962647968900233152443431552320166755,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -84620330996112529144055428944040020823,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -443733738644752392164925917530831580119,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -443733738644752392164925917530831579947,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -6578275916268892224294012609667177285,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": -210504829320604551177408403509349672945,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 22724080003543289810109110512132233877,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 22724080003543289810109110512132234051,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 63988247331922782275131542438085518135,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 255952989327691129100526169752342072715,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 244590949325919485044022140749540621269,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 244590949325919485044022140749540621357,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              "tube": [
                {
                  "lo": {
                    "numerator": 185608563775092781225133190427949163025,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775143411401851263834551702123,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887485634619547680451457941299,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 23201070471877737426976637540382876049,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057340954409874122171142469,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057340989139444029724680171,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563774364440162484422934630272739,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775142489940779194778529774967,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281885442842594191145777080256079,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563774782807742144735132289272453,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943832969110144045997113378795,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 46402140944807249748584656891645568521,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563774972194241941724342583163451,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943937561005059124026724147569,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343191926403887642504659,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057343224534087622095436081,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057343641205127552635049481,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057343644812167658248409469,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943703463229390286507438258765,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 23201070471869635376597087452215665533,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775157605597162719265968900911,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887650417846189080764583401877,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764336242488235105908695871,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 92804281887528672490078768827233779181,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057345411774392560509779305,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528672705887196694515855283,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764336463624062580560492813,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 46402140943764336463624062717999470357,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057346297218108091271207905,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887528673148609054320513557355,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 5800267617970542085623123932224206929,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": 46402140943764336684984991599515831125,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057347182661823401505321161,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057347182661824195773471957,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775057347614278395169817549903,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 185608563775057347624483159405364858501,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -730483485860054314957916028005745321213,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -365241742930027157478956736420693675825,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -549049927525516983968494839475906556747,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1098099855051033967936984568519178425619,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -608943952602184926339449664729755089889,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -608943952602184926339438857957839458967,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -7486753134583492902439248525540485319,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": -119788050153335886438956864284522175623,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 312289813743108501377947855344499787765,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 624579627486217002756060020393372036337,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 301655989776829174579260995921994380419,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 603311979553658349158686301548361221645,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1347679657193211238353538876521906555687,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1347679657193211238353609988646018035823,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 459208889910515069563505511352043619061,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 1836835559642060278254032191948080083117,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 581497865522727329962891227130589885901,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 1162995731045454659925783015707294455359,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1415646360153946684570022601084854197307,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -707823180076973342285006692543304138955,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1143420466617195913430377191936746904981,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -142927558327149489178795996987982709157,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -910191557293048072442863946426176555413,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -455095778646524036221430385340940791665,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -676962647968900233152443431827271340987,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -676962647968900233152443431277434118811,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -443733738644752392164925917805709487101,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -221866869322376196082462958627976836483,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -210504829320604551177408403784227580101,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -52626207330151137794352100808617941491,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 22724080003543289810109110237254326895,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 2840510000442911226263638848376267629,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 63988247331922782275131542369364006099,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 255952989327691129100526170027293250281,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 489181898651838970088043963699553521901,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 244590949325919485044023569747903736357,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              "series": [
                [
                  {
                    "lo": {
                      "numerator": 92804281887548922121402498994255871245,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775097844242804997988511742495,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 151010381281816086559019021063477,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 302020762563632173118038042126961,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -687494609334709971537834949392245,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -687494609334709971537834949392229,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 460095908509565888006806616675267,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 28755994281847868000425413542205,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -13287966162595486759938909183815,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": -26575932325190973519877818367629,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 46402140943754209099535331540286492563,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 185608563775016836398141326161145970257,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -302020762561639912460432237127231,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -37752595320204989057554029640903,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": 343747304972394829451781597529985,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 343747304972394829451781597529993,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -717942949853170485488574532493749,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -89742868731646310686071816561717,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 255297191733524456355169840560733,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 255297191733524456355169840560741,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057340983999917183120175511,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 46402140943764335245999979295780043879,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -8290151744742685212468787,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -16580303489485370424937561,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -154477110685722567709674956028585,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": -2471633770971561083354799296457345,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -112634298405496641808198564017049,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -225268596810993283616397128034085,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 884144146443919184802390136209473,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 884144146443919184802390136209481,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 11600535235941542810184357335889843699,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 185608563775064684962949717374237499189,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1160311698990446780296474514548003,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -9282493591923574242371796116384011,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -6982373750145178948093886107048569,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -3491186875072589474046943053524277,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 7340559018793428598524958827676049,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 3670279509396714299262479413838031,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1010788603667591558243035079374383,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -4043154414670366232972140317497525,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563774393095486768490554574070863,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 46402140943598273871692122638643517717,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -46494482167847631637031325339142843,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -46494482167847631637031325339142829,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 16275119113952429865933161339620581,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 32550238227904859731866322679241177,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -4359711848206179464246600960116751,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -1089927962051544866061650240029187,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": 7457137401721736684138323212680407,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 3728568700860868342069161606340207,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887860794347976214283084358313,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775721588695952428566168716631,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 46494482167847631637031321544914309,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 23247241083923815818515660772457161,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -32550238227904859816741775427221241,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -16275119113952429908370887713610613,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 17438847391980881578537461999084169,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 17438847391980881578537461999084181,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -233133857838580167381820173566103,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": -932535431354320669527280694264411,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775049999219771201738916831689,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 92804281887524999609885600869458415847,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 4641246795961786951435000170097603,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 9282493591923573902870000340195219,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 436398359067635092251364772061833,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 6982373745082161476021836352989343,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -3682863705565311501676087416022585,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -3682863705565311501676087416022579,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1018301866102229706387534625182995,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 4073207464408918825550138500731987,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057343198041998322156520511,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 46402140943764335799510499580539130129,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1835883669195819572441313,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -3671767338391639144882613,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1160311702439647839480883822772915,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 2320623404879295678961767645545845,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 12979881632790893704456462003605,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": 415356212249308598542606784115373,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -996823549170366158426454805938873,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -996823549170366158426454805938865,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057343641565831783098711035,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 181258363061579437149966632600682335,
                      "denominator": 332306998946228968225951765070086144
                    }
                  },
                  {
                    "lo": {
                      "numerator": 20250078859192053874246223,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 5062519714798013468561559,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 75505185119417630517340497011519,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 151010370238835261034680994023053,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 110925669828285724177012552017305,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 221851339656571448354025104034623,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 53968679486296564087091358471249,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 53968679486296564087091358471257,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563774942760003255144039025769783,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 46402140943735690000813786009756442447,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1708801575753230946280465313738125,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -13350012310572116767816135263579,
                      "denominator": 2658455991569831745807614120560689152
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1239874628474148912099581613803703,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 619937314237074456049790806901859,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -674910334595224511067809214022155,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -337455167297612255533904607011071,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 146199284786441839604498288149515,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 146199284786441839604498288149519,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775171928606684263712191016751,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 46402140943792982151671065928047754189,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 26700024621123481094638001459853,
                      "denominator": 5316911983139663491615228241121378304
                    },
                    "hi": {
                      "numerator": 1708801575751902790056832093430605,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -619937314236687090256799286683089,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -1239874628473374180513598573366163,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 337455167331456391684238347816287,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 337455167331456391684238347816293,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -156942910483792328800327502689201,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -156942910483792328800327502689197,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057344970973400366620386527,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 46402140943764336242743350091655096633,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 28646019025762759109286241,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 57292038051525518218572495,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 213600182645981112912339670220385,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 427200365291962225824679340440785,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -10907683269604160414577216860661,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": -87261466156833283316617734885285,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 180525250805335586128419625791629,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 45131312701333896532104906447909,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057345411774392863264297987,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 23201070471882168176471799107908037249,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1164835302412367839,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 291208825603091963,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 14323007856924418298563189,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 3580751964231104574640801,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 71200050771065540109123069543095,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 17800012692766385027280767385777,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -61430740868424606330797566043733,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -61430740868424606330797566043725,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057345854496250597119923849,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 92804281887528672927248125298559961927,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 8793402665,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 549587667,
                      "denominator": 10633823966279326983230456482242756608
                    }
                  },
                  {
                    "lo": {
                      "numerator": 72802199274950165,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 72802199274950169,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 2387167691644481659561347,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 149197980727780103722585,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": 2225001270629322041959337703593,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 2225001270629322041959337703595,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057346297218108366149161993,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 11600535235941084143576131772884322625,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -6853135747,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -6853135731,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1596896208400325,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": -51100678668810383,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 25548946998690901,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 6387236749672727,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -10406051096707703899,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -10406051096707703891,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 92804281887528673369969983060736064331,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 185608563775057346739939966121472128667,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -204402745968315307,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -204402745968315293,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -86822767473768427,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -86822767473768411,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2387250837863706968710631,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1193625418931853484355309,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -4450002541230940025600714951039,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -4450002541230940025600714951035,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057347182661823896444331317,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 92804281887528673591330911948222165661,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -756096626970001953,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -189024156742500485,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -14323506223303745461537591,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1790438277912968182692197,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -17800012692697167444262675904259,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -69531299580848310329151077751,
                      "denominator": 332306998946228968225951765070086144
                    }
                  },
                  {
                    "lo": {
                      "numerator": 61430740868323074547590429016347,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 61430740868323074547590429016355,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 185608563775057347623462682761907802081,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 92804281887528673811731341380953901043,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -28647015247656035372419663,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -57294030495312070744839313,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -213600182645648970426208452459207,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -427200365291297940852416904918399,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1363460408699835022747279774729,
                      "denominator": 1329227995784915872903807060280344576
                    },
                    "hi": {
                      "numerator": 87261466156789441455825905582659,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -45131312699199025519646882331151,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -180525250796796102078587529324597,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -730483485860054314957915772379358361479,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -1460966971720108629915831544758716722793,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 7171895261136803410687,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 28687581044547213642751,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 106958128469843261216566216107,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 213916256939686522433132432215,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -143160396353477883557058446829,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -143160396353477883557058446827,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 16538382302492789433015488417,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 66153529209971157732061953669,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -1098099855051033967936985079782344220131,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -549049927525516983968492539891172109981,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -28688820846774988067113,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -28688820846774988067111,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -213916257129514868790634870665,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -26739532141189358598829358833,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": 223390370389626183019727768823,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 223390370389626183019727768825,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -39718291896101617549585396243,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -19859145948050808774792698121,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -152235988150546231584862016318480089033,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -608943952602184926339448065273920355963,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 5159017111887894418507,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 5159017111887894418509,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 769057149878759694501645739041,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 384528574939379847250822869521,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 35046540730365110763304478379,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 8761635182591277690826119595,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -275104424482734086033291170493,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -68776106120683521508322792623,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -29947012538333971609752317993129088647,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -119788050153335886439009271972516354419,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 26406553131613509104659,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 52813106263227018209319,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 2172589045651422475953221661587,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 2172589045651422475953221661589,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -1142019741663122859582825861091,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -2284039483326245719165651722179,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 78627564163255199986978639561,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": 1258041026612083199791658232977,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 156144906871554250689010897300758116133,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 624579627486217002756043589203032464701,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -311166222842989259864757,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -311166222842989259864755,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -10128115958533390666652532431973,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -10128115958533390666652532431971,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 678269519192742012260769814633,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 2713078076770968049043079258533,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2320313427650113007472588810985,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -2320313427650113007472588810983,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 301655989776829174579269211517164166237,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 603311979553658349158538423034328332643,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 155583111421494630522671,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 9723944463843414407667,
                      "denominator": 10633823966279326983230456482242756608
                    }
                  },
                  {
                    "lo": {
                      "numerator": 2532028989633347673265453291581,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 10128115958533390693061813166325,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2713078076639686810181471078491,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -1356539038319843405090735539245,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 2321292331344111041507135703387,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 2321292331344111041507135703389,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 21057494643643925599274863815779367387,
                      "denominator": 5316911983139663491615228241121378304
                    },
                    "hi": {
                      "numerator": 1347679657193211238353591284209879512937,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -52813106210408455470699,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -26406553105204227735349,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2172589044076047562934149448003,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -2172589044076047562934149448001,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1145935356620778819129946392311,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 143241919577597352391243299039,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -633696067018595337019908813287,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -1267392134037190674039817626573,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 1836835559642060278254030288785536829965,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 918417779821030139127015144392768415067,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 285620687865657806369,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 571241375731315612739,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -361034883618069286971602635907,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -180517441809034643485801317953,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": -64619741128050505952365862593,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -1009683455125789155505716603,
                      "denominator": 2658455991569831745807614120560689152
                    }
                  },
                  {
                    "lo": {
                      "numerator": 155082499787122838740444156477,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 310164999574245677480888312955,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 1162995731045454659925782959452731824141,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 2325991462090909319851565918905463648451,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -6300880055128610717727,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -6300880055128610717725,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -46987383932840276085260950289,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -46987383932840276085260950287,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -8628723800641021879112949049,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -34514895202564087516451796195,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -8396268057582234685262104365,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -16792536115164469370524208729,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -1415646360153946684570014306906335195573,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -1415646360153946684570014306906335195405,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -51738628563300151568441,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -51738628563300151568439,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -385791155299875552126273334493,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -385791155299875552126273334491,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 6562519815051407025363695079,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": 105000317040822512405819121265,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -90980804243428388751382391911,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -90980804243428388751382391909,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -1143420466617195913430376270113556056253,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -285855116654298978357594067528389014021,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 25869520913223585328535,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 3233690114152948166067,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": 385791155299634491767170250895,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 24111947206227155735448140681,
                      "denominator": 21267647932558653966460912964485513216
                    }
                  },
                  {
                    "lo": {
                      "numerator": -210000634102706460119168112579,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -210000634102706460119168112577,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 24416658832648752874366976141,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 97666635330595011497467904565,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -113773944661631009055357636059526675783,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -455095778646524036221430544238106703047,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -4456652535797115732331,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -17826610143188462929321,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -132924828596047526505356372513,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -4153900893626485203292386641,
                      "denominator": 10633823966279326983230456482242756608
                    }
                  },
                  {
                    "lo": {
                      "numerator": 3393962541849396530581703367,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": 54303400669590344489307253873,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -7021380296201922370412729017,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -56171042369615378963301832135,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -676962647968900233152443431552320166755,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -84620330996112529144055428944040020823,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  {
                    "lo": {
                      "numerator": -298841835303647,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -298841835303645,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -4456652338675785070399,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -2228326169337892535199,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -22154136613790874232174334681,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -22154136613790874232174334679,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 19114382795335547213249694843,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 4778595698833886803312423711,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -443733738644752392164925917530831580119,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -443733738644752392164925917530831579947,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -2736097,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -85503,
                      "denominator": 5316911983139663491615228241121378304
                    }
                  },
                  {
                    "lo": {
                      "numerator": -90610600966817,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -2831581280213,
                      "denominator": 10633823966279326983230456482242756608
                    }
                  },
                  {
                    "lo": {
                      "numerator": -371387650626590241089,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -5802932041040472517,
                      "denominator": 2658455991569831745807614120560689152
                    }
                  },
                  {
                    "lo": {
                      "numerator": -346158335433465498570548741,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": -2769266683467723988564389927,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -6578275916268892224294012609667177285,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": -210504829320604551177408403509349672945,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 2132375,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 2132377,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 7950073905661,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 15900147811323,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -3974820635785,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -7949641271569,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1618938997303625,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 3237877994607251,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 22724080003543289810109110512132233877,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 22724080003543289810109110512132234051,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -764241,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -1528481,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 27015201331019,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 6753800332755,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 742801172480513739703,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 742801172480513739705,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1384633341725241782834509875,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 2769266683450483565669019751,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 63988247331922782275131542438085518135,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 255952989327691129100526169752342072715,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 37357828949469,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 149431315797877,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 4456807407060305319731,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 4456807407060305319733,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 22154136613704725091905321905,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 22154136613704725091905321907,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -9557191397651977627749456535,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -19114382795303955255498913069,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": 244590949325919485044022140749540621269,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 244590949325919485044022140749540621357,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 17827230037929764453507,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 17827230037929764453509,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 132924828595840831989463765843,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 132924828595840831989463765845,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -54303400669563061402768224495,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -27151700334781530701384112247,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  },
                  {
                    "lo": {
                      "numerator": 56171042366958289618526369991,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 7021380295869786202315796249,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  }
                ]
              ],
              "local_remainder_bounds": [
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": 0,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                }
              ],
              "increment": [
                {
                  "lo": {
                    "numerator": 40504137510392141778932943,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 40504137510392141778932945,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -20252068755062516901874659,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -10126034377531258450937329,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -12225258175092380215,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -12225258175092380213,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -311219865609530927706765155,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -155609932804765463853382577,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -1558848916987533513027518661,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -389712229246883378256879665,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": 3117697833975067026055036365,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 3117697833975067026055036367,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 622439731219061802294338415,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 622439731219061802294338417,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 10188247557945373617,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 10188247557945373619,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 2036877188085167113,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 2036877188085167115,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -57292034601861070404544345,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -7161504325232633800568043,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 28646017300908270249416603,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 57292034601816540498833207,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 5762595529129753211,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 5762595529129753213,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 163977648993,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 163977648995,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 3387,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 3389,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -691,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -43,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": -856642093,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": -6853136743,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -136571825851,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -136571825849,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -5762729132893915267,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -5762729132893915265,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 2885505922038803,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 2885505922038805,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -2885589033920225,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -2885589033920223,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 3803930144215191,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 3803930144215193,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 8425812621364755,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 2106453155341189,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -16601353268643207,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -33202706537286413,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 33202706537286413,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 16601353268643207,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -16851625226201297,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -16851625226201295,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -396263431064627,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -1585053724258507,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -79222647345697,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -316890589382787,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -5204017939857963,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -5204017939857961,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 5204045651310339,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 5204045651310341,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -896525479649725,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -224131369912431,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                {
                  "lo": {
                    "numerator": -5844681,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": -23378723,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 0,
                    "denominator": 1
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -1,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 1,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 23379769,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 11689885,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 224136565810013,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 896546263240053,
                    "denominator": 170141183460469231731687303715884105728
                  }
                }
              ],
              "endpoint": [
                {
                  "lo": {
                    "numerator": 185608563775138348380315390130290675433,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 11600535235946146773769711883143167215,
                    "denominator": 21267647932558653966460912964485513216
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887488166130315600563671110467,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563774976332260631201127342220941,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 5800267617970541905367958094000868603,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": 185608563775057340971774659008027795303,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887221122615865327759411984437,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563774442245231730655518823968881,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563771275397652793423528519033541,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140942818849413198355882129758387,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563778839286529927495592223752991,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281889419643264963747796111876499,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 23201070471959054868873782942651396263,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 185608563775672438950990263541211170111,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 11600535235941083950514390367506368383,
                    "denominator": 21267647932558653966460912964485513216
                  },
                  "hi": {
                    "numerator": 185608563775057343208230245880101894135,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764335910900677242795969537,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775057343643602708971183878155,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563774828175934051421898216681093,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 46402140943707043983512855474554170275,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 185608563775286512675887896793188683163,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 92804281887643256337943948396594341585,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528672488367997947875069869,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057344976735995895750139745,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764336352943598256810486745,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775057345411774393027241946987,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 46402140943764336463624062649279981809,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 185608563775057345854496250597119927243,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673148609054183074580651,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 5800267617970542071788065886442161291,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673369969983053882927587,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057346739939966107765855181,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673591330911879936252733,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057347182661823759872505473,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 92804281887528673808849976814506943407,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 185608563775057347617699953629013886821,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -1460966971720108629915828659252794684155,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -365241742930027157478957164813198670997,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": -274524963762758491984246991342844535089,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": -1098099855051033967936987965371378140185,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -608943952602184926339444261343776140941,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -304471976301092463169722130671888070385,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -59894025076667943219496210173636812539,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -119788050153335886438992420347273624907,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 78072453435777125344497147973744736463,
                    "denominator": 42535295865117307932921825928971026432
                  },
                  "hi": {
                    "numerator": 624579627486217002755977183789957891875,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 150827994888414587289651207111850726325,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 603311979553658349158604828447402905471,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 1347679657193211238353574432584653311471,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 673839828596605619176787216292326655821,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": 1836835559642060278254027118678088312949,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 57401111238814383695438347458690259785,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                {
                  "lo": {
                    "numerator": 1162995731045454659925782642562142441353,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 2325991462090909319851565285124284882877,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -44238948754810833892813109716383595423,
                    "denominator": 10633823966279326983230456482242756608
                  },
                  "hi": {
                    "numerator": -707823180076973342285009755462137526683,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -571710233308597956715185533033952372957,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -1143420466617195913430371066067904745743,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -455095778646524036221431440763586352857,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": -455095778646524036221431440763586352771,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -676962647968900233152443431552366924203,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -338481323984450116576221715776183462015,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                {
                  "lo": {
                    "numerator": -443733738644752392164925917530831580121,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -443733738644752392164925917530831579947,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": -210504829320604551177408403509349673121,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": -210504829320604551177408403509349672943,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 5681020000885822452527277628033058469,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 5681020000885822452527277628033058513,
                    "denominator": 85070591730234615865843651857942052864
                  }
                },
                {
                  "lo": {
                    "numerator": 127976494663845564550263084876194416039,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 255952989327691129100526169752388832255,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                {
                  "lo": {
                    "numerator": 244590949325919485044023037295803861321,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 122295474662959742522011518647901930705,
                    "denominator": 85070591730234615865843651857942052864
                  }
                }
              ],
              "picard_interior_margin": {
                "numerator": 34077876781,
                "denominator": 85070591730234615865843651857942052864
              },
              "domain_lower_bounds": [
                {
                  "numerator": 1,
                  "denominator": 1
                }
              ],
              "method": "direct_source_box_Picard_Taylor_dyadic128_v1"
            },
            "true_increment_bounds": {
              "lo": {
                "numerator": -6235395667950134052110073689,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -6235395667950134052110073685,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            "endpoint_readout_bounds": {
              "lo": {
                "numerator": -7563888877134072063704719457,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": -7563888877134072063704719443,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            "failed_tube": null,
            "status": "admitted",
            "unavailable_reasons": [],
            "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
            "law": "normalized_sine_reciprocal_exchange",
            "clock": "tau=e*t",
            "capacity": [
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1
              }
            ],
            "state_order": [
              "x_0",
              "x_1",
              "x_2",
              "x_3",
              "x_4",
              "x_5",
              "x_6",
              "x_7",
              "x_8",
              "x_9",
              "x_10",
              "x_11",
              "x_12",
              "x_13",
              "x_14",
              "x_15",
              "x_16",
              "x_17",
              "theta_0",
              "theta_1",
              "theta_2",
              "theta_3",
              "theta_4",
              "theta_5",
              "theta_6",
              "theta_7",
              "theta_8",
              "theta_9",
              "theta_10",
              "theta_11",
              "theta_12",
              "theta_13",
              "theta_14",
              "theta_15",
              "theta_16",
              "theta_17"
            ],
            "scope": [
              "fixed_two_port_C9_support_and_full_thirty_six_coordinate_source_box",
              "complete_shared_sine_rates_with_both_rows_transformed_to_fast_clock",
              "supplied_phase_dipole_then_unforced_continuous_flow",
              "zero_phase_increment_means_no_event_and_preserves_all_source_coordinates",
              "one_fixed_Picard_Taylor_step_without_retry_or_adaptive_budget",
              "direct_source_box_coefficients_and_whole_tube_derivative_remainder",
              "readout_increment_cancels_the_same_initial_form_coordinate_symbolically",
              "independent_of_inverse_error_bound_target_root_or_forward_verdict",
              "global_smooth_domain_is_not_acute_chart_or_identity_retention",
              "primitive_source_enclosure_is_not_acquisition_or_calibration_evidence",
              "no_sensor_gain_noise_realization_or_physical_measurement"
            ]
          }
        }
      ],
      "observed_reading_times": [
        {
          "numerator": 0,
          "denominator": 1
        },
        {
          "numerator": 1,
          "denominator": 33554432
        },
        {
          "numerator": 1,
          "denominator": 16777216
        },
        {
          "numerator": 1,
          "denominator": 8388608
        }
      ],
      "structural_reading_times": [
        {
          "numerator": 0,
          "denominator": 1
        },
        {
          "numerator": 633318697598977,
          "denominator": 18889465931478580854784
        },
        {
          "numerator": 9,
          "denominator": 134217728
        },
        {
          "numerator": 316659348799487,
          "denominator": 2361183241434822606848
        }
      ],
      "structural_segment_starts": [
        {
          "numerator": 0,
          "denominator": 1
        },
        {
          "numerator": 633318697598977,
          "denominator": 18889465931478580854784
        },
        {
          "numerator": 9,
          "denominator": 134217728
        }
      ],
      "actual_phase_jumps": [
        {
          "numerator": 1,
          "denominator": 4
        },
        {
          "numerator": 0,
          "denominator": 1
        },
        {
          "numerator": 1,
          "denominator": 2
        }
      ],
      "stopping_rule": {
        "clock_profile_admitted": true,
        "first_window_mean_identity": true,
        "segment_1_source_association": true,
        "segment_1_phase_only_or_zero_event": true,
        "segment_1_complete_horizon": true,
        "segment_2_source_association": true,
        "segment_2_phase_only_or_zero_event": true,
        "segment_2_complete_horizon": true,
        "segment_2_shared_baseline": true,
        "segment_3_source_association": true,
        "segment_3_phase_only_or_zero_event": true,
        "segment_3_complete_horizon": true,
        "segment_3_shared_baseline": true,
        "passive_half_window_reading": true,
        "held_sensor_admitted": true,
        "numerical_reading_halfwidths": true,
        "public_only_packet": true,
        "primary_bounded_candidate": true,
        "primary_certificates": true,
        "nominal_angle_covered": true,
        "actual_angle_covered": true,
        "actual_angle_resolution": true,
        "effective_gain_covered": true,
        "effective_gain_resolution": true,
        "gain_covered": true,
        "gain_resolution": true,
        "mean_clock_covered": true,
        "mean_clock_resolution": true,
        "false_angle_prior_excluded": true,
        "false_gain_coarse_available": true,
        "false_gain_curvature_excluded": true,
        "false_clock_coarse_available": true,
        "false_clock_curvature_excluded": true,
        "equal_amplitude_rank_abstention": true,
        "window_1_phase_blind_excluded": true,
        "window_2_phase_blind_excluded": true,
        "transfer_bounds_match_public_primitives": true,
        "half_reading_signed_separation": true,
        "final_reading_signed_separation": true,
        "half_full_difference_within_transfer": true,
        "final_full_difference_within_transfer": true,
        "H_full_state_enclosures_intersect": true,
        "H_post_event_full_state_enclosures_intersect": true
      },
      "readings": {
        "raw_readout_bounds": [
          {
            "lo": {
              "numerator": -442721857769029238785,
              "denominator": 340282366920938463463374607431768211456
            },
            "hi": {
              "numerator": -442721857769029238783,
              "denominator": 340282366920938463463374607431768211456
            }
          },
          {
            "lo": {
              "numerator": -664246842717398342949410301,
              "denominator": 340282366920938463463374607431768211456
            },
            "hi": {
              "numerator": -664246842717398342949410295,
              "denominator": 340282366920938463463374607431768211456
            }
          },
          {
            "lo": {
              "numerator": -166061651147992251449330721,
              "denominator": 42535295865117307932921825928971026432
            },
            "hi": {
              "numerator": -664246604591969005797322879,
              "denominator": 170141183460469231731687303715884105728
            }
          },
          {
            "lo": {
              "numerator": -7563888877134072063704719457,
              "denominator": 340282366920938463463374607431768211456
            },
            "hi": {
              "numerator": -7563888877134072063704719443,
              "denominator": 340282366920938463463374607431768211456
            }
          }
        ],
        "recorded_reading_bounds": [
          {
            "lo": {
              "numerator": 65438916715565088817666739383684712163,
              "denominator": 170141183460469231731687303715884105728
            },
            "hi": {
              "numerator": 130877833431130177635333478767369424331,
              "denominator": 340282366920938463463374607431768211456
            }
          },
          {
            "lo": {
              "numerator": 32719458357550058168834930559689772787,
              "denominator": 85070591730234615865843651857942052864
            },
            "hi": {
              "numerator": 130877833430200232675339722238759091159,
              "denominator": 340282366920938463463374607431768211456
            }
          },
          {
            "lo": {
              "numerator": 65438916714635143881143283213888927275,
              "denominator": 170141183460469231731687303715884105728
            },
            "hi": {
              "numerator": 65438916714635143881143283213888927283,
              "denominator": 170141183460469231731687303715884105728
            }
          },
          {
            "lo": {
              "numerator": 65438916710270366913578189514850829165,
              "denominator": 170141183460469231731687303715884105728
            },
            "hi": {
              "numerator": 130877833420540733827156379029701658351,
              "denominator": 340282366920938463463374607431768211456
            }
          }
        ],
        "recorded_increment_bounds": [
          {
            "lo": {
              "numerator": -1859889873046912339591569781,
              "denominator": 340282366920938463463374607431768211456
            },
            "hi": {
              "numerator": -58121558532716010612236555,
              "denominator": 10633823966279326983230456482242756608
            }
          },
          {
            "lo": {
              "numerator": -2182388483782546849519049059,
              "denominator": 85070591730234615865843651857942052864
            },
            "hi": {
              "numerator": -8729553935130187398076196199,
              "denominator": 340282366920938463463374607431768211456
            }
          }
        ],
        "recorded_curvature_bounds": {
          "lo": {
            "numerator": 23470300358814548279,
            "denominator": 170141183460469231731687303715884105728
          },
          "hi": {
            "numerator": 46940600717629096601,
            "denominator": 340282366920938463463374607431768211456
          }
        }
      },
      "public_packet": {
        "schema": "tnfr.sine-clock-drift-public-inference.v1",
        "inputs": {
          "bulk_angle_bounds": [
            {
              "numerator": 11,
              "denominator": 8
            },
            {
              "numerator": 3,
              "denominator": 2
            }
          ],
          "receiver_short_angle_bounds": [
            {
              "numerator": 2,
              "denominator": 3
            },
            {
              "numerator": 1,
              "denominator": 1
            }
          ],
          "form_radius": {
            "numerator": 1,
            "denominator": 281474976710656
          },
          "phase_radius": {
            "numerator": 1,
            "denominator": 281474976710656
          },
          "phase_increments": [
            {
              "numerator": 1,
              "denominator": 4
            },
            {
              "numerator": 3,
              "denominator": 4
            }
          ],
          "probe_duration": {
            "numerator": 1,
            "denominator": 16777216
          },
          "readout_error_bound": {
            "numerator": 1,
            "denominator": 1237940039285380274899124224
          },
          "readout_gain_bounds": [
            {
              "numerator": 1,
              "denominator": 1
            },
            {
              "numerator": 2,
              "denominator": 1
            }
          ],
          "clock_rate_bounds": [
            {
              "numerator": 1,
              "denominator": 2
            },
            {
              "numerator": 2,
              "denominator": 1
            }
          ],
          "clock_rate_derivative_bound": {
            "numerator": 1,
            "denominator": 4194304
          },
          "recorded_reading_bounds": [
            [
              {
                "numerator": 65438916715565088817666739383684712163,
                "denominator": 170141183460469231731687303715884105728
              },
              {
                "numerator": 130877833431130177635333478767369424331,
                "denominator": 340282366920938463463374607431768211456
              }
            ],
            [
              {
                "numerator": 32719458357550058168834930559689772787,
                "denominator": 85070591730234615865843651857942052864
              },
              {
                "numerator": 130877833430200232675339722238759091159,
                "denominator": 340282366920938463463374607431768211456
              }
            ],
            [
              {
                "numerator": 65438916714635143881143283213888927275,
                "denominator": 170141183460469231731687303715884105728
              },
              {
                "numerator": 65438916714635143881143283213888927283,
                "denominator": 170141183460469231731687303715884105728
              }
            ],
            [
              {
                "numerator": 65438916710270366913578189514850829165,
                "denominator": 170141183460469231731687303715884105728
              },
              {
                "numerator": 130877833420540733827156379029701658351,
                "denominator": 340282366920938463463374607431768211456
              }
            ]
          ]
        },
        "controls": {
          "false_bulk_angle_bounds": [
            {
              "numerator": 11,
              "denominator": 8
            },
            {
              "numerator": 353,
              "denominator": 256
            }
          ],
          "false_gain_bounds": [
            {
              "numerator": 31,
              "denominator": 16
            },
            {
              "numerator": 2,
              "denominator": 1
            }
          ],
          "false_clock_bounds": [
            {
              "numerator": 25,
              "denominator": 32
            },
            {
              "numerator": 13,
              "denominator": 16
            }
          ],
          "equal_phase_increments": [
            {
              "numerator": 1,
              "denominator": 4
            },
            {
              "numerator": 1,
              "denominator": 4
            }
          ]
        }
      },
      "inverse_outputs": {
        "request_sha256": "968ca0b24a15771a354525a8f991dffd6418897605634bd600e0ec0099960de7",
        "primary": {
          "schema": "tnfr.sine-clock-drift-inference.v1",
          "report": {
            "bulk_angle_bounds": [
              {
                "numerator": 11,
                "denominator": 8
              },
              {
                "numerator": 3,
                "denominator": 2
              }
            ],
            "receiver_short_angle_bounds": [
              {
                "numerator": 2,
                "denominator": 3
              },
              {
                "numerator": 1,
                "denominator": 1
              }
            ],
            "form_radius": {
              "numerator": 1,
              "denominator": 281474976710656
            },
            "phase_radius": {
              "numerator": 1,
              "denominator": 281474976710656
            },
            "phase_increments": [
              {
                "numerator": 1,
                "denominator": 4
              },
              {
                "numerator": 3,
                "denominator": 4
              }
            ],
            "probe_duration": {
              "numerator": 1,
              "denominator": 16777216
            },
            "recorded_reading_bounds": [
              [
                {
                  "numerator": 65438916715565088817666739383684712163,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833431130177635333478767369424331,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 32719458357550058168834930559689772787,
                  "denominator": 85070591730234615865843651857942052864
                },
                {
                  "numerator": 130877833430200232675339722238759091159,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 65438916714635143881143283213888927275,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 65438916714635143881143283213888927283,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              [
                {
                  "numerator": 65438916710270366913578189514850829165,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833420540733827156379029701658351,
                  "denominator": 340282366920938463463374607431768211456
                }
              ]
            ],
            "readout_error_bound": {
              "numerator": 1,
              "denominator": 1237940039285380274899124224
            },
            "readout_gain_bounds": [
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 2,
                "denominator": 1
              }
            ],
            "clock_rate_bounds": [
              {
                "numerator": 1,
                "denominator": 2
              },
              {
                "numerator": 2,
                "denominator": 1
              }
            ],
            "clock_rate_derivative_bound": {
              "numerator": 1,
              "denominator": 4194304
            },
            "reference_envelope": {
              "bulk_angle_bounds": [
                {
                  "numerator": 11,
                  "denominator": 8
                },
                {
                  "numerator": 3,
                  "denominator": 2
                }
              ],
              "receiver_short_angle_bounds": [
                {
                  "numerator": 2,
                  "denominator": 3
                },
                {
                  "numerator": 1,
                  "denominator": 1
                }
              ],
              "form_radius": {
                "numerator": 1,
                "denominator": 281474976710656
              },
              "phase_radius": {
                "numerator": 1,
                "denominator": 281474976710656
              },
              "phase_increments": [
                {
                  "numerator": 1,
                  "denominator": 4
                },
                {
                  "numerator": 3,
                  "denominator": 4
                }
              ],
              "probe_duration": {
                "numerator": 1,
                "denominator": 16777216
              },
              "recorded_reading_bounds": [
                [
                  {
                    "numerator": 65438916715565088817666739383684712163,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  {
                    "numerator": 130877833431130177635333478767369424331,
                    "denominator": 340282366920938463463374607431768211456
                  }
                ],
                [
                  {
                    "numerator": 11157335299924569835572697309648690708271,
                    "denominator": 29009071780010004010252685283558240026624
                  },
                  {
                    "numerator": 44629341199698279342290901328238937333603,
                    "denominator": 116036287120040016041010741134232960106496
                  }
                ],
                [
                  {
                    "numerator": 65438916714635143881143283213888927275,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  {
                    "numerator": 65438916714635143881143283213888927283,
                    "denominator": 170141183460469231731687303715884105728
                  }
                ],
                [
                  {
                    "numerator": 22314670598202195117529938445275783751729,
                    "denominator": 58018143560020008020505370567116480053248
                  },
                  {
                    "numerator": 44629341196404390235060773607704963484763,
                    "denominator": 116036287120040016041010741134232960106496
                  }
                ]
              ],
              "readout_error_bound": {
                "numerator": 1,
                "denominator": 1237940039285380274899124224
              },
              "readout_gain_bounds": [
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": 2,
                  "denominator": 1
                }
              ],
              "clock_rate_bounds": [
                {
                  "numerator": 1,
                  "denominator": 2
                },
                {
                  "numerator": 2,
                  "denominator": 1
                }
              ],
              "clock_envelope": {
                "bulk_angle_bounds": [
                  {
                    "numerator": 11,
                    "denominator": 8
                  },
                  {
                    "numerator": 3,
                    "denominator": 2
                  }
                ],
                "receiver_short_angle_bounds": [
                  {
                    "numerator": 2,
                    "denominator": 3
                  },
                  {
                    "numerator": 1,
                    "denominator": 1
                  }
                ],
                "form_radius": {
                  "numerator": 1,
                  "denominator": 281474976710656
                },
                "phase_radius": {
                  "numerator": 1,
                  "denominator": 281474976710656
                },
                "phase_increments": [
                  {
                    "numerator": 1,
                    "denominator": 4
                  },
                  {
                    "numerator": 3,
                    "denominator": 4
                  }
                ],
                "probe_duration": {
                  "numerator": 1,
                  "denominator": 16777216
                },
                "recorded_reading_bounds": [
                  [
                    {
                      "numerator": 65438916715565088817666739383684712163,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 130877833431130177635333478767369424331,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  [
                    {
                      "numerator": 65438916714635143881143283213888927275,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 65438916714635143881143283213888927283,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  ],
                  [
                    {
                      "numerator": 22314670598202195117529938445275783751729,
                      "denominator": 58018143560020008020505370567116480053248
                    },
                    {
                      "numerator": 44629341196404390235060773607704963484763,
                      "denominator": 116036287120040016041010741134232960106496
                    }
                  ]
                ],
                "readout_error_bound": {
                  "numerator": 1,
                  "denominator": 1237940039285380274899124224
                },
                "readout_gain_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 1
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "clock_rate_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 2
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "structural_probe_duration_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 33554432
                  },
                  {
                    "numerator": 1,
                    "denominator": 8388608
                  }
                ],
                "auxiliary_gain_prior_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 4
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "effective_gain_prior_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 2
                  },
                  {
                    "numerator": 4,
                    "denominator": 1
                  }
                ],
                "constraint_envelope": {
                  "bulk_angle_bounds": [
                    {
                      "numerator": 11,
                      "denominator": 8
                    },
                    {
                      "numerator": 3,
                      "denominator": 2
                    }
                  ],
                  "receiver_short_angle_bounds": [
                    {
                      "numerator": 2,
                      "denominator": 3
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    }
                  ],
                  "form_radius": {
                    "numerator": 1,
                    "denominator": 281474976710656
                  },
                  "phase_radius": {
                    "numerator": 1,
                    "denominator": 281474976710656
                  },
                  "phase_increments": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 3,
                      "denominator": 4
                    }
                  ],
                  "probe_duration": {
                    "numerator": 1,
                    "denominator": 8388608
                  },
                  "recorded_reading_bounds": [
                    [
                      {
                        "numerator": 65438916715565088817666739383684712163,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      {
                        "numerator": 130877833431130177635333478767369424331,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    ],
                    [
                      {
                        "numerator": 65438916714635143881143283213888927275,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      {
                        "numerator": 65438916714635143881143283213888927283,
                        "denominator": 170141183460469231731687303715884105728
                      }
                    ],
                    [
                      {
                        "numerator": 22314670598202195117529938445275783751729,
                        "denominator": 58018143560020008020505370567116480053248
                      },
                      {
                        "numerator": 44629341196404390235060773607704963484763,
                        "denominator": 116036287120040016041010741134232960106496
                      }
                    ]
                  ],
                  "readout_error_bound": {
                    "numerator": 1,
                    "denominator": 1237940039285380274899124224
                  },
                  "readout_gain_bounds": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 2,
                      "denominator": 1
                    }
                  ],
                  "reference_model": {
                    "storage_scale": 1.0,
                    "epi_weight": 0.9990234375,
                    "phase_weight": 0.0009765625,
                    "phase_domain": "regular"
                  },
                  "geometry": {
                    "nodes": [
                      0,
                      1,
                      2,
                      3,
                      4,
                      5,
                      6,
                      7,
                      8,
                      9,
                      10,
                      11,
                      12,
                      13,
                      14,
                      15,
                      16,
                      17
                    ],
                    "edges": [
                      [
                        0,
                        1
                      ],
                      [
                        0,
                        8
                      ],
                      [
                        0,
                        9
                      ],
                      [
                        1,
                        2
                      ],
                      [
                        1,
                        10
                      ],
                      [
                        2,
                        3
                      ],
                      [
                        3,
                        4
                      ],
                      [
                        4,
                        5
                      ],
                      [
                        5,
                        6
                      ],
                      [
                        6,
                        7
                      ],
                      [
                        7,
                        8
                      ],
                      [
                        9,
                        10
                      ],
                      [
                        9,
                        17
                      ],
                      [
                        10,
                        11
                      ],
                      [
                        11,
                        12
                      ],
                      [
                        12,
                        13
                      ],
                      [
                        13,
                        14
                      ],
                      [
                        14,
                        15
                      ],
                      [
                        15,
                        16
                      ],
                      [
                        16,
                        17
                      ]
                    ],
                    "incidence": [
                      [
                        -1,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        1,
                        0,
                        0,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1
                      ]
                    ],
                    "tree_edge_indices": [
                      0,
                      1,
                      2,
                      3,
                      4,
                      10,
                      12,
                      5,
                      13,
                      9,
                      19,
                      6,
                      14,
                      8,
                      18,
                      15,
                      17
                    ],
                    "fundamental_cycles": [
                      [
                        4,
                        5,
                        6,
                        7,
                        8,
                        0,
                        1,
                        2,
                        3
                      ],
                      [
                        9,
                        10,
                        1,
                        0
                      ],
                      [
                        13,
                        14,
                        15,
                        16,
                        17,
                        9,
                        0,
                        1,
                        10,
                        11,
                        12
                      ]
                    ],
                    "cycle_rows": [
                      [
                        1,
                        -1,
                        0,
                        1,
                        0,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        -1,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        1,
                        0,
                        -1,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        -1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1
                      ]
                    ],
                    "bridge_edge_indices": [],
                    "cycle_rank": 3,
                    "short_cycle_span_rank": 1,
                    "scope": [
                      "connected_simple_undirected_phase_support_without_self_loops",
                      "node_order_and_cycle_basis_are_coordinates_not_physical_selectors",
                      "all_support_edges_retained_independently_of_transport_weights",
                      "integer_fundamental_cycles_and_exact_rational_short_cycle_rank",
                      "32_node_50_edge_evaluation_budget_is_not_a_physical_restriction",
                      "no_graph_write_live_phase_admission_or_trajectory_claim"
                    ]
                  },
                  "degrees": [
                    3,
                    3,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    3,
                    3,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2
                  ],
                  "nodal_angle_affine_coefficients": [
                    [
                      {
                        "numerator": -61,
                        "denominator": 20
                      },
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -4,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -3,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -21,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": -21,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": -4,
                        "denominator": 5
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": -11,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 4
                      }
                    ],
                    [
                      {
                        "numerator": -3,
                        "denominator": 10
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 5
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 9,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 4
                      }
                    ],
                    [
                      {
                        "numerator": 7,
                        "denominator": 10
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -3,
                        "denominator": 8
                      }
                    ]
                  ],
                  "edge_angle_affine_coefficients": [
                    [
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": -8,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -4,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -2,
                        "denominator": 1
                      },
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ]
                  ],
                  "edge_integer_offsets": [
                    0,
                    2,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    1,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0
                  ],
                  "named_cycle_periods": [
                    {
                      "numerator": 2,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "laplacian": [
                    [
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_laplacian": [
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_upper_slack_matrix": [
                    [
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_sine_symbol_coefficients": [
                    [
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ]
                  ],
                  "readout_forcing_moments": [
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ]
                  ],
                  "dipole": [
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": -1,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "nominal_edge_angle_bounds": [
                    {
                      "lo": {
                        "numerator": 12045370825537839367389137716641537233,
                        "denominator": 21267647932558653966460912964485513216
                      },
                      "hi": {
                        "numerator": 133252075032385973335400202724508201797,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    },
                    {
                      "lo": {
                        "numerator": -3,
                        "denominator": 2
                      },
                      "hi": {
                        "numerator": -11,
                        "denominator": 8
                      }
                    },
                    {
                      "lo": {
                        "numerator": -9222277107020814599071775247843975983,
                        "denominator": 42535295865117307932921825928971026432
                      },
                      "hi": {
                        "numerator": 153076694424459125516342202971760333109,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": -153076694424459125516342202971760333109,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 9222277107020814599071775247843975983,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 113427455640312821154458202477256070485,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 1,
                        "denominator": 1
                      }
                    },
                    {
                      "lo": {
                        "numerator": -238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": -224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "nominal_acute_margin": {
                    "numerator": 752995951469740294119687841451292231,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "source_acute_margin": {
                    "numerator": 752995951469135831209880526863939143,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "total_duration": {
                    "numerator": 1,
                    "denominator": 4194304
                  },
                  "actual_phase_jumps": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 1,
                      "denominator": 2
                    }
                  ],
                  "whole_window_form_norm_candidate": {
                    "numerator": 3023483214910983165,
                    "denominator": 5559855157069972802690351104
                  },
                  "whole_window_phase_norm_candidate": {
                    "numerator": 8339782735604978957078760445,
                    "denominator": 5559855157069972802690351104
                  },
                  "whole_window_acute_margin_candidate": {
                    "numerator": -10540738374106502853183819213961903794648891197124951881287,
                    "denominator": 7047953727041767680220543876983511860363048493743660335104
                  },
                  "finite_remainder_candidate": {
                    "numerator": 4639535003157425283587,
                    "denominator": 35784114521081635733937455184060874752
                  },
                  "finite_remainder_upper_bound": {
                    "numerator": 4639535003157425283587,
                    "denominator": 35784114521081635733937455184060874752
                  },
                  "gamma_bounds": {
                    "lo": {
                      "numerator": 3308750045361523034179564622145679,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": 105880001451568737093746067908661729,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "response_scale_bounds": [
                    {
                      "lo": {
                        "numerator": 9246095636201016491825598365,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 9246095636201016491825598367,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 22776626151303202614030398685,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 22776626151303202614030398687,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "response_matrix_bounds": [
                    [
                      {
                        "lo": {
                          "numerator": 4586977260608963831896929583,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 9173954521217927663793859169,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 288188627074419732126565583,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": 1152754508297678928506262333,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": 21193824235234970656065224535,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 10596912117617485328032612269,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": 4171226232242616901931199729,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 8342452464485233803862399459,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ]
                  ],
                  "determinant_angle_factor_bounds": {
                    "lo": {
                      "numerator": 21046801210185120193770697126998656397,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 84187204840740480775082788507994625591,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "determinant_bounds": {
                    "lo": {
                      "numerator": 19139253210804655,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 76557012843218621,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  "inverse_matrix_bounds": [
                    [
                      {
                        "lo": {
                          "numerator": 18540362045956643852135291317419266613400975079083,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 9270181022978321926067645660714843157499026655537,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": -640473710366729561686044817866962297943543119411,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": -1280947420733459123372089635621445476830023063829,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": -47101398075976061409491892021296181590516706511879,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": -23550699037988030704745946005553897533816769575475,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": 10194150877131574339968306122523176018060256614483,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 5097075438565787169984153061709158725341529596067,
                          "denominator": 85070591730234615865843651857942052864
                        }
                      }
                    ]
                  ],
                  "inverse_row_sum_upper_bounds": [
                    {
                      "numerator": 10551128443711781049439735296448767753386112894359,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 67489699830239210089428504268132816491882824896147,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  "reading_midpoints": [
                    {
                      "numerator": 261755666862260355270666957534738848657,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": 65438916714635143881143283213888927279,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 261755666841081467654312758059403316681,
                      "denominator": 680564733841876926926749214863536422912
                    }
                  ],
                  "reading_radii": [
                    {
                      "numerator": 5,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": 1,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    {
                      "numerator": 896717153395981305,
                      "denominator": 232072574240080032082021482268465920212992
                    }
                  ],
                  "recorded_increment_midpoints": [
                    {
                      "numerator": -3719779746093824679183139541,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": -17459107870260374796152392435,
                      "denominator": 680564733841876926926749214863536422912
                    }
                  ],
                  "transformed_reading_coefficients": [
                    [
                      {
                        "lo": {
                          "numerator": 18540362045956643852135291317419266613400975079083,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 9270181022978321926067645660714843157499026655537,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": -10551128443711781049439735296448767753386112894359,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": -21102256887423562098879470588662157567061021206741,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 1280947420733459123372089635621445476830023063829,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 640473710366729561686044817866962297943543119411,
                          "denominator": 85070591730234615865843651857942052864
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": -47101398075976061409491892021296181590516706511879,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": -23550699037988030704745946005553897533816769575475,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": 16872424957559802522357126064038536775938513094979,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": 67489699830239210089428504268132816491882824896147,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": -5097075438565787169984153061709158725341529596067,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": -10194150877131574339968306122523176018060256614483,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      }
                    ]
                  ],
                  "transformed_centers": [
                    {
                      "lo": {
                        "numerator": 35614047612395184167403087651877835289,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 35614047612395184167403087741582691955,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 132797604735552959038346400936414464555,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 265595209471105918076692802172777905315,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "transformed_observation_error_radii": [
                    {
                      "numerator": 1152603495917921786010760887344474686978814314819143664419653950143,
                      "denominator": 39485102429924822639437705887962576577965064770983432337455036146698377207218176
                    },
                    {
                      "numerator": 18307844058675586005322106206698341482959174912587837673515287705019,
                      "denominator": 78970204859849645278875411775925153155930129541966864674910072293396754414436352
                    }
                  ],
                  "transformed_flow_error_radii": [
                    {
                      "numerator": 48952329737410737809761914545529542384562203325081731449979062947585733,
                      "denominator": 3044175796850895832534184118722269040603787012611444895918585408674466889728
                    },
                    {
                      "numerator": 313120824714982558207951219224312253482238080003409530526291605298639289,
                      "denominator": 6088351593701791665068368237444538081207574025222889791837170817348933779456
                    }
                  ],
                  "raw_transformed_bounds": [
                    {
                      "lo": {
                        "numerator": 17804287825135524259002530535175555623,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 17809759787259659908400557161554707999,
                        "denominator": 170141183460469231731687303715884105728
                      }
                    },
                    {
                      "lo": {
                        "numerator": 265577708922031719859589208982968568409,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 8300397188130628634181137345707445813,
                        "denominator": 10633823966279326983230456482242756608
                      }
                    }
                  ],
                  "prior_transformed_bounds": [
                    {
                      "lo": {
                        "numerator": 3008827801606212730430961139259982705,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 16550288638384032083354480997374461905,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 83445152785038620452101670385288163211,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 42428744379174680903648820235267800471,
                        "denominator": 21267647932558653966460912964485513216
                      }
                    }
                  ],
                  "transformed_coordinate_bounds": [
                    {
                      "lo": {
                        "numerator": 17804287825135524259002530535175555623,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 17809759787259659908400557161554707999,
                        "denominator": 170141183460469231731687303715884105728
                      }
                    },
                    {
                      "lo": {
                        "numerator": 265577708922031719859589208982968568409,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 8300397188130628634181137345707445813,
                        "denominator": 10633823966279326983230456482242756608
                      }
                    }
                  ],
                  "nominal_bulk_angle_outer_bounds": {
                    "lo": {
                      "numerator": 489146058410259307536676445049139233451,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 15286429347481542925895023737743379711,
                      "denominator": 10633823966279326983230456482242756608
                    }
                  },
                  "actual_long_arc_mean_outer_bounds": {
                    "lo": {
                      "numerator": 489146058410259156420948993220492395179,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 15286429347481547648261506607388593407,
                      "denominator": 10633823966279326983230456482242756608
                    }
                  },
                  "readout_gain_outer_bounds": {
                    "lo": {
                      "numerator": 267954268740239484177986758272705960645,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 267990413819195883080679218296139883789,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "source_admitted": true,
                  "finite_response_certified": true,
                  "rank_deficient": false,
                  "rank_certified": true,
                  "whole_window_acute_certified": false,
                  "inverse_enclosure_available": true,
                  "status": "bounded_candidate",
                  "unavailable_reasons": [],
                  "incompatibility_reasons": [],
                  "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
                  "law": "normalized_sine_reciprocal_exchange",
                  "clock": "tau=e*t",
                  "capacity": [
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    }
                  ],
                  "transformed_coordinate_order": [
                    "gain_times_cos_bulk",
                    "gain_times_sin_bulk"
                  ],
                  "scope": [
                    "same_noncritical_affine_source_family_and_full_two_port_sine_law",
                    "two_successive_equal_windows_without_source_or_equilibrium_reset",
                    "cumulative_amplitudes_determine_first_jump_and_second_amplitude_difference",
                    "three_scalar_readings_share_one_held_positive_gain_and_one_held_offset",
                    "shared_middle_observation_error_retained_before_coordinate_projection",
                    "exact_reading_midpoint_differences_cancel_arbitrary_common_offset",
                    "full_original_source_errors_and_both_evolving_rows_enter_uniform_remainder",
                    "positive_gain_prior_is_supplied_information_not_inferred_physical_calibration",
                    "coordinate_box_can_discard_joint_error_correlations_without_claiming_realizability",
                    "bounded_candidate_gives_necessary_marginals_not_existence_or_point_identification",
                    "actual_pre_probe_arc_mean_expands_nominal_angle_by_original_phase_radius_over_eight",
                    "leading_rank_failure_does_not_exclude_a_full_nonlinear_response",
                    "no_target_root_trajectory_producer_hidden_source_or_cached_report_consumed",
                    "whole_window_acuity_is_optional_and_not_an_inverse_admission_gate"
                  ]
                },
                "finite_remainder_over_clock_candidate": {
                  "numerator": 4639535003157425283587,
                  "denominator": 71568229042163271467874910368121749504
                },
                "finite_remainder_over_clock_upper_bound": {
                  "numerator": 4639535003157425283587,
                  "denominator": 71568229042163271467874910368121749504
                },
                "nominal_bulk_angle_outer_bounds": {
                  "lo": {
                    "numerator": 489146058410259307536676445049139233451,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 15286429347481542925895023737743379711,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                "actual_long_arc_mean_outer_bounds": {
                  "lo": {
                    "numerator": 489146058410259156420948993220492395179,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 15286429347481547648261506607388593407,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                "effective_gain_outer_bounds": {
                  "lo": {
                    "numerator": 267954268740239484177986758272705960645,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 267990413819195883080679218296139883789,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                "readout_gain_outer_bounds": {
                  "lo": {
                    "numerator": 1,
                    "denominator": 1
                  },
                  "hi": {
                    "numerator": 2,
                    "denominator": 1
                  }
                },
                "clock_rate_outer_bounds": {
                  "lo": {
                    "numerator": 267954268740239484177986758272705960645,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 267990413819195883080679218296139883789,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                "source_admitted": true,
                "finite_response_certified": true,
                "rank_deficient": false,
                "rank_certified": true,
                "whole_window_acute_certified": false,
                "inverse_enclosure_available": true,
                "status": "bounded_candidate",
                "unavailable_reasons": [],
                "incompatibility_reasons": [],
                "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
                "clock": "tau=rho*s; rho is one held positive rate",
                "effective_gain_relation": "J=G*rho",
                "complete_observed_rows": [
                  "dx/ds=rho*(-A*x+gamma*f(theta))",
                  "dtheta/ds=rho*gamma*A*x"
                ],
                "scope": [
                  "fixed_gamma_and_complete_two_port_law_under_one_unknown_constant_clock_rate",
                  "two_events_at_observed_times_zero_and_H_without_source_reset",
                  "auxiliary_envelope_gain_is_L_equal_G_times_rho_over_rho_upper",
                  "auxiliary_upper_duration_is_not_the_actual_unknown_trajectory_duration",
                  "monotone_finite_remainder_over_clock_rate_retains_full_flow_dependence",
                  "three_reading_errors_remain_in_sensor_units_without_clock_division",
                  "effective_gain_J_is_G_times_rho_not_sensor_gain_alone",
                  "separate_gain_and_clock_bounds_project_one_necessary_product_relation",
                  "coordinate_product_need_not_be_jointly_realizable",
                  "no_exact_full_flow_gain_clock_symmetry_or_separate_point_identification",
                  "original_source_actual_arc_mean_retains_original_phase_radius_over_eight",
                  "no_acquisition_calibration_trajectory_producer_or_physical_identification"
                ]
              },
              "observation_times": [
                {
                  "numerator": 0,
                  "denominator": 1
                },
                {
                  "numerator": 1,
                  "denominator": 33554432
                },
                {
                  "numerator": 1,
                  "denominator": 16777216
                },
                {
                  "numerator": 1,
                  "denominator": 8388608
                }
              ],
              "reading_midpoints": [
                {
                  "numerator": 261755666862260355270666957534738848657,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 261755666860400465350679444477518182307,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 65438916714635143881143283213888927279,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 261755666841081467654312758059403316681,
                  "denominator": 680564733841876926926749214863536422912
                }
              ],
              "reading_radii": [
                {
                  "numerator": 5,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 112089644174500519,
                  "denominator": 232072574240080032082021482268465920212992
                },
                {
                  "numerator": 1,
                  "denominator": 42535295865117307932921825928971026432
                },
                {
                  "numerator": 896717153395981305,
                  "denominator": 232072574240080032082021482268465920212992
                }
              ],
              "curvature_midpoint": {
                "numerator": 93881201435258193159,
                "denominator": 680564733841876926926749214863536422912
              },
              "curvature_observation_radius": {
                "numerator": 224929155279151431,
                "denominator": 232072574240080032082021482268465920212992
              },
              "sensor_corrected_curvature_bounds": {
                "lo": {
                  "numerator": 5867533863685440747,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 46940930525774667183,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "embedded_inverse_reading_coefficients": [
                [
                  {
                    "lo": {
                      "numerator": 18540362045956643852135291317419266613400975079083,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 9270181022978321926067645660714843157499026655537,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 0,
                      "denominator": 1
                    },
                    "hi": {
                      "numerator": 0,
                      "denominator": 1
                    }
                  },
                  {
                    "lo": {
                      "numerator": -10551128443711781049439735296448767753386112894359,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -21102256887423562098879470588662157567061021206741,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1280947420733459123372089635621445476830023063829,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 640473710366729561686044817866962297943543119411,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -47101398075976061409491892021296181590516706511879,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -23550699037988030704745946005553897533816769575475,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 0,
                      "denominator": 1
                    },
                    "hi": {
                      "numerator": 0,
                      "denominator": 1
                    }
                  },
                  {
                    "lo": {
                      "numerator": 16872424957559802522357126064038536775938513094979,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 67489699830239210089428504268132816491882824896147,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -5097075438565787169984153061709158725341529596067,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -10194150877131574339968306122523176018060256614483,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ]
              ],
              "first_window_sine_norm_candidate": {
                "numerator": 13899637892674951759769111549,
                "denominator": 2779927578534986401345175552
              },
              "initial_curvature_error_candidate": {
                "numerator": 9421831,
                "denominator": 662786383279558754304
              },
              "third_derivative_bound_candidate": {
                "numerator": 727882162916499764311947118381803509998888464858299459116709897,
                "denominator": 111693431477012008439152141089655636231611737613829992124847751168
              },
              "normalized_curvature_error_candidate": {
                "numerator": 727908801385579642623680855779531050201302810552846225220024329,
                "denominator": 936952412835514750088739163961813987337588075041275182578434844229894144
              },
              "normalized_curvature_error_upper_bound": {
                "numerator": 727908801385579642623680855779531050201302810552846225220024329,
                "denominator": 936952412835514750088739163961813987337588075041275182578434844229894144
              },
              "effective_gain_denominator_bounds": [
                {
                  "numerator": 267954268740239484177986758272705960645,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 267990413819195883080679218296139883789,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              "curvature_coefficient_bounds": {
                "lo": {
                  "numerator": 29823309103280185930741861878944751,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 29831486700328736158012024150745005,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "normalized_curvature_observation_bounds": {
                "lo": {
                  "numerator": 8388331278189037596583453270217401,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 16779161387558957662872873433386967,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              "clock_rate_constraint_bounds": {
                "lo": {
                  "numerator": 382733688214540258005107522564483998905,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 382901690149956434060268617616897255969,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "nominal_bulk_angle_outer_bounds": {
                "lo": {
                  "numerator": 489146058410259307536676445049139233451,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 15286429347481542925895023737743379711,
                  "denominator": 10633823966279326983230456482242756608
                }
              },
              "actual_long_arc_mean_outer_bounds": {
                "lo": {
                  "numerator": 489146058410259156420948993220492395179,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 15286429347481547648261506607388593407,
                  "denominator": 10633823966279326983230456482242756608
                }
              },
              "effective_gain_outer_bounds": {
                "lo": {
                  "numerator": 267954268740239484177986758272705960645,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 267990413819195883080679218296139883789,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              "readout_gain_outer_bounds": {
                "lo": {
                  "numerator": 476258607047615289517827135587881562849,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 476531934003155265513822039133018761527,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "clock_rate_outer_bounds": {
                "lo": {
                  "numerator": 382733688214540258005107522564483998905,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 382901690149956434060268617616897255969,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "source_admitted": true,
              "finite_curvature_bound_certified": true,
              "base_inverse_enclosure_available": true,
              "curvature_coefficient_positive": true,
              "curvature_refinement_available": true,
              "inverse_enclosure_available": true,
              "status": "bounded_candidate",
              "unavailable_reasons": [],
              "incompatibility_reasons": [],
              "curvature_reading_coefficients": [
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": -2,
                  "denominator": 1
                },
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": 0,
                  "denominator": 1
                }
              ],
              "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
              "clock": "tau=rho*s; rho is one held positive rate",
              "effective_gain_relation": "J=G*rho",
              "scope": [
                "four_readings_on_one_complete_two_pulse_trajectory_at_zero_H_over_two_H_two_H",
                "first_and_second_phase_events_remain_at_zero_and_H_without_reset",
                "finite_second_difference_is_not_a_supplied_derivative_observation",
                "all_four_readings_are_admitted_before_the_three_reading_clock_envelope",
                "exact_midpoint_second_difference_cancels_arbitrary_held_offset",
                "four_reading_error_coefficients_are_retained_before_marginal_relaxation",
                "complete_initial_state_error_and_third_derivative_remainder_are_retained",
                "clock_refinement_uses_positive_factors_and_exact_endpoint_division",
                "necessary_constraint_intersection_does_not_assert_joint_error_or_state_realizability",
                "original_angle_and_actual_pre_probe_arc_mean_remain_the_child_statistics",
                "unavailable_refinement_retains_the_coarse_clock_report_separately",
                "no_clock_grid_shooting_repeated_fit_or_additional_response_evaluation",
                "no_physical_calibration_source_acquisition_or_unique_law_identification"
              ]
            },
            "observation_times": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 33554432
              },
              {
                "numerator": 1,
                "denominator": 16777216
              },
              {
                "numerator": 1,
                "denominator": 8388608
              }
            ],
            "structural_duration_upper_bound": {
              "numerator": 1,
              "denominator": 4194304
            },
            "whole_window_form_norm_candidate": {
              "numerator": 469765117,
              "denominator": 863846703525003264
            },
            "whole_window_form_norm_upper_bound": {
              "numerator": 469765117,
              "denominator": 863846703525003264
            },
            "structural_readout_speed_candidate": {
              "numerator": 109462543139157,
              "denominator": 47991483529166848
            },
            "structural_readout_speed_upper_bound": {
              "numerator": 109462543139157,
              "denominator": 47991483529166848
            },
            "exposure_discrepancy_bounds": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 9444732965739290427392
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1180591620717411303424
              }
            ],
            "recorded_discrepancy_candidates": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 226633373281328156330099103777798750208
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 28329171660166019541262387972224843776
              }
            ],
            "recorded_discrepancy_upper_bounds": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 226633373281328156330099103777798750208
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 28329171660166019541262387972224843776
              }
            ],
            "comparison_reading_bounds": [
              [
                {
                  "numerator": 65438916715565088817666739383684712163,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833431130177635333478767369424331,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 11157335299924569835572697309648690708271,
                  "denominator": 29009071780010004010252685283558240026624
                },
                {
                  "numerator": 44629341199698279342290901328238937333603,
                  "denominator": 116036287120040016041010741134232960106496
                }
              ],
              [
                {
                  "numerator": 65438916714635143881143283213888927275,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 65438916714635143881143283213888927283,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              [
                {
                  "numerator": 22314670598202195117529938445275783751729,
                  "denominator": 58018143560020008020505370567116480053248
                },
                {
                  "numerator": 44629341196404390235060773607704963484763,
                  "denominator": 116036287120040016041010741134232960106496
                }
              ]
            ],
            "nominal_bulk_angle_outer_bounds": {
              "lo": {
                "numerator": 489146058410259307536676445049139233451,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 15286429347481542925895023737743379711,
                "denominator": 10633823966279326983230456482242756608
              }
            },
            "actual_long_arc_mean_outer_bounds": {
              "lo": {
                "numerator": 489146058410259156420948993220492395179,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 15286429347481547648261506607388593407,
                "denominator": 10633823966279326983230456482242756608
              }
            },
            "effective_gain_outer_bounds": {
              "lo": {
                "numerator": 267954268740239484177986758272705960645,
                "denominator": 170141183460469231731687303715884105728
              },
              "hi": {
                "numerator": 267990413819195883080679218296139883789,
                "denominator": 170141183460469231731687303715884105728
              }
            },
            "readout_gain_outer_bounds": {
              "lo": {
                "numerator": 476258607047615289517827135587881562849,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 476531934003155265513822039133018761527,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            "first_window_mean_clock_rate_outer_bounds": {
              "lo": {
                "numerator": 382733688214540258005107522564483998905,
                "denominator": 340282366920938463463374607431768211456
              },
              "hi": {
                "numerator": 382901690149956434060268617616897255969,
                "denominator": 340282366920938463463374607431768211456
              }
            },
            "source_admitted": true,
            "clock_drift_transfer_certified": true,
            "finite_curvature_bound_certified": true,
            "rank_deficient": false,
            "rank_certified": true,
            "inverse_enclosure_available": true,
            "status": "bounded_candidate",
            "unavailable_reasons": [],
            "incompatibility_reasons": [],
            "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
            "clock": "tau(s)=integral_0^s rho(u) du; positive C1 rho with supplied bounds",
            "inferred_clock_statistic": "rho_bar_1=(1/H)*integral_0^H rho(s) ds",
            "effective_gain_relation": "J=G*rho_bar_1",
            "complete_observed_rows": [
              "dx/ds=rho(s)*(-A*x+gamma*f(theta))",
              "dtheta/ds=rho(s)*gamma*A*x"
            ],
            "scope": [
              "global_positive_clock_rate_and_C1_derivative_bounds_are_supplied_premises",
              "fixed_complete_two_port_law_and_both_rows_share_one_clock_exposure",
              "four_point_readings_at_zero_H_over_two_H_two_H_are_not_exposure_averages",
              "original_source_and_phase_events_at_zero_and_H_are_preserved",
              "constant_first_window_mean_reference_agrees_exactly_at_zero_and_H",
              "second_event_starts_from_the_same_complete_state_in_both_histories",
              "only_half_time_and_final_reading_bands_receive_clock_comparison_allowances",
              "original_sensor_error_gain_and_offset_premises_remain_unchanged",
              "reference_envelope_is_a_constraint_on_a_comparison_history_not_actual_constant_clock_flow",
              "reference_status_and_reasons_apply_to_the_widened_necessary_constraints",
              "effective_gain_uses_first_window_mean_rate_not_pointwise_clock_rate",
              "original_actual_arc_mean_retains_the_original_phase_radius_over_eight",
              "marginal_intersections_do_not_certify_joint_state_error_or_clock_profile_realizability",
              "no_profile_fit_clock_grid_response_producer_or_cached_report_input",
              "no_physical_clock_calibration_acquisition_or_unique_law_identification"
            ]
          }
        },
        "false_angle": {
          "schema": "tnfr.sine-clock-drift-inference.v1",
          "report": {
            "bulk_angle_bounds": [
              {
                "numerator": 11,
                "denominator": 8
              },
              {
                "numerator": 353,
                "denominator": 256
              }
            ],
            "receiver_short_angle_bounds": [
              {
                "numerator": 2,
                "denominator": 3
              },
              {
                "numerator": 1,
                "denominator": 1
              }
            ],
            "form_radius": {
              "numerator": 1,
              "denominator": 281474976710656
            },
            "phase_radius": {
              "numerator": 1,
              "denominator": 281474976710656
            },
            "phase_increments": [
              {
                "numerator": 1,
                "denominator": 4
              },
              {
                "numerator": 3,
                "denominator": 4
              }
            ],
            "probe_duration": {
              "numerator": 1,
              "denominator": 16777216
            },
            "recorded_reading_bounds": [
              [
                {
                  "numerator": 65438916715565088817666739383684712163,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833431130177635333478767369424331,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 32719458357550058168834930559689772787,
                  "denominator": 85070591730234615865843651857942052864
                },
                {
                  "numerator": 130877833430200232675339722238759091159,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 65438916714635143881143283213888927275,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 65438916714635143881143283213888927283,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              [
                {
                  "numerator": 65438916710270366913578189514850829165,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833420540733827156379029701658351,
                  "denominator": 340282366920938463463374607431768211456
                }
              ]
            ],
            "readout_error_bound": {
              "numerator": 1,
              "denominator": 1237940039285380274899124224
            },
            "readout_gain_bounds": [
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 2,
                "denominator": 1
              }
            ],
            "clock_rate_bounds": [
              {
                "numerator": 1,
                "denominator": 2
              },
              {
                "numerator": 2,
                "denominator": 1
              }
            ],
            "clock_rate_derivative_bound": {
              "numerator": 1,
              "denominator": 4194304
            },
            "reference_envelope": {
              "bulk_angle_bounds": [
                {
                  "numerator": 11,
                  "denominator": 8
                },
                {
                  "numerator": 353,
                  "denominator": 256
                }
              ],
              "receiver_short_angle_bounds": [
                {
                  "numerator": 2,
                  "denominator": 3
                },
                {
                  "numerator": 1,
                  "denominator": 1
                }
              ],
              "form_radius": {
                "numerator": 1,
                "denominator": 281474976710656
              },
              "phase_radius": {
                "numerator": 1,
                "denominator": 281474976710656
              },
              "phase_increments": [
                {
                  "numerator": 1,
                  "denominator": 4
                },
                {
                  "numerator": 3,
                  "denominator": 4
                }
              ],
              "probe_duration": {
                "numerator": 1,
                "denominator": 16777216
              },
              "recorded_reading_bounds": [
                [
                  {
                    "numerator": 65438916715565088817666739383684712163,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  {
                    "numerator": 130877833431130177635333478767369424331,
                    "denominator": 340282366920938463463374607431768211456
                  }
                ],
                [
                  {
                    "numerator": 11157335299924569835572697309648690708271,
                    "denominator": 29009071780010004010252685283558240026624
                  },
                  {
                    "numerator": 44629341199698279342290901328238937333603,
                    "denominator": 116036287120040016041010741134232960106496
                  }
                ],
                [
                  {
                    "numerator": 65438916714635143881143283213888927275,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  {
                    "numerator": 65438916714635143881143283213888927283,
                    "denominator": 170141183460469231731687303715884105728
                  }
                ],
                [
                  {
                    "numerator": 22314670598202195117529938445275783751729,
                    "denominator": 58018143560020008020505370567116480053248
                  },
                  {
                    "numerator": 44629341196404390235060773607704963484763,
                    "denominator": 116036287120040016041010741134232960106496
                  }
                ]
              ],
              "readout_error_bound": {
                "numerator": 1,
                "denominator": 1237940039285380274899124224
              },
              "readout_gain_bounds": [
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": 2,
                  "denominator": 1
                }
              ],
              "clock_rate_bounds": [
                {
                  "numerator": 1,
                  "denominator": 2
                },
                {
                  "numerator": 2,
                  "denominator": 1
                }
              ],
              "clock_envelope": {
                "bulk_angle_bounds": [
                  {
                    "numerator": 11,
                    "denominator": 8
                  },
                  {
                    "numerator": 353,
                    "denominator": 256
                  }
                ],
                "receiver_short_angle_bounds": [
                  {
                    "numerator": 2,
                    "denominator": 3
                  },
                  {
                    "numerator": 1,
                    "denominator": 1
                  }
                ],
                "form_radius": {
                  "numerator": 1,
                  "denominator": 281474976710656
                },
                "phase_radius": {
                  "numerator": 1,
                  "denominator": 281474976710656
                },
                "phase_increments": [
                  {
                    "numerator": 1,
                    "denominator": 4
                  },
                  {
                    "numerator": 3,
                    "denominator": 4
                  }
                ],
                "probe_duration": {
                  "numerator": 1,
                  "denominator": 16777216
                },
                "recorded_reading_bounds": [
                  [
                    {
                      "numerator": 65438916715565088817666739383684712163,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 130877833431130177635333478767369424331,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  [
                    {
                      "numerator": 65438916714635143881143283213888927275,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 65438916714635143881143283213888927283,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  ],
                  [
                    {
                      "numerator": 22314670598202195117529938445275783751729,
                      "denominator": 58018143560020008020505370567116480053248
                    },
                    {
                      "numerator": 44629341196404390235060773607704963484763,
                      "denominator": 116036287120040016041010741134232960106496
                    }
                  ]
                ],
                "readout_error_bound": {
                  "numerator": 1,
                  "denominator": 1237940039285380274899124224
                },
                "readout_gain_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 1
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "clock_rate_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 2
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "structural_probe_duration_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 33554432
                  },
                  {
                    "numerator": 1,
                    "denominator": 8388608
                  }
                ],
                "auxiliary_gain_prior_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 4
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "effective_gain_prior_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 2
                  },
                  {
                    "numerator": 4,
                    "denominator": 1
                  }
                ],
                "constraint_envelope": {
                  "bulk_angle_bounds": [
                    {
                      "numerator": 11,
                      "denominator": 8
                    },
                    {
                      "numerator": 353,
                      "denominator": 256
                    }
                  ],
                  "receiver_short_angle_bounds": [
                    {
                      "numerator": 2,
                      "denominator": 3
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    }
                  ],
                  "form_radius": {
                    "numerator": 1,
                    "denominator": 281474976710656
                  },
                  "phase_radius": {
                    "numerator": 1,
                    "denominator": 281474976710656
                  },
                  "phase_increments": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 3,
                      "denominator": 4
                    }
                  ],
                  "probe_duration": {
                    "numerator": 1,
                    "denominator": 8388608
                  },
                  "recorded_reading_bounds": [
                    [
                      {
                        "numerator": 65438916715565088817666739383684712163,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      {
                        "numerator": 130877833431130177635333478767369424331,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    ],
                    [
                      {
                        "numerator": 65438916714635143881143283213888927275,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      {
                        "numerator": 65438916714635143881143283213888927283,
                        "denominator": 170141183460469231731687303715884105728
                      }
                    ],
                    [
                      {
                        "numerator": 22314670598202195117529938445275783751729,
                        "denominator": 58018143560020008020505370567116480053248
                      },
                      {
                        "numerator": 44629341196404390235060773607704963484763,
                        "denominator": 116036287120040016041010741134232960106496
                      }
                    ]
                  ],
                  "readout_error_bound": {
                    "numerator": 1,
                    "denominator": 1237940039285380274899124224
                  },
                  "readout_gain_bounds": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 2,
                      "denominator": 1
                    }
                  ],
                  "reference_model": {
                    "storage_scale": 1.0,
                    "epi_weight": 0.9990234375,
                    "phase_weight": 0.0009765625,
                    "phase_domain": "regular"
                  },
                  "geometry": {
                    "nodes": [
                      0,
                      1,
                      2,
                      3,
                      4,
                      5,
                      6,
                      7,
                      8,
                      9,
                      10,
                      11,
                      12,
                      13,
                      14,
                      15,
                      16,
                      17
                    ],
                    "edges": [
                      [
                        0,
                        1
                      ],
                      [
                        0,
                        8
                      ],
                      [
                        0,
                        9
                      ],
                      [
                        1,
                        2
                      ],
                      [
                        1,
                        10
                      ],
                      [
                        2,
                        3
                      ],
                      [
                        3,
                        4
                      ],
                      [
                        4,
                        5
                      ],
                      [
                        5,
                        6
                      ],
                      [
                        6,
                        7
                      ],
                      [
                        7,
                        8
                      ],
                      [
                        9,
                        10
                      ],
                      [
                        9,
                        17
                      ],
                      [
                        10,
                        11
                      ],
                      [
                        11,
                        12
                      ],
                      [
                        12,
                        13
                      ],
                      [
                        13,
                        14
                      ],
                      [
                        14,
                        15
                      ],
                      [
                        15,
                        16
                      ],
                      [
                        16,
                        17
                      ]
                    ],
                    "incidence": [
                      [
                        -1,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        1,
                        0,
                        0,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1
                      ]
                    ],
                    "tree_edge_indices": [
                      0,
                      1,
                      2,
                      3,
                      4,
                      10,
                      12,
                      5,
                      13,
                      9,
                      19,
                      6,
                      14,
                      8,
                      18,
                      15,
                      17
                    ],
                    "fundamental_cycles": [
                      [
                        4,
                        5,
                        6,
                        7,
                        8,
                        0,
                        1,
                        2,
                        3
                      ],
                      [
                        9,
                        10,
                        1,
                        0
                      ],
                      [
                        13,
                        14,
                        15,
                        16,
                        17,
                        9,
                        0,
                        1,
                        10,
                        11,
                        12
                      ]
                    ],
                    "cycle_rows": [
                      [
                        1,
                        -1,
                        0,
                        1,
                        0,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        -1,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        1,
                        0,
                        -1,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        -1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1
                      ]
                    ],
                    "bridge_edge_indices": [],
                    "cycle_rank": 3,
                    "short_cycle_span_rank": 1,
                    "scope": [
                      "connected_simple_undirected_phase_support_without_self_loops",
                      "node_order_and_cycle_basis_are_coordinates_not_physical_selectors",
                      "all_support_edges_retained_independently_of_transport_weights",
                      "integer_fundamental_cycles_and_exact_rational_short_cycle_rank",
                      "32_node_50_edge_evaluation_budget_is_not_a_physical_restriction",
                      "no_graph_write_live_phase_admission_or_trajectory_claim"
                    ]
                  },
                  "degrees": [
                    3,
                    3,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    3,
                    3,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2
                  ],
                  "nodal_angle_affine_coefficients": [
                    [
                      {
                        "numerator": -61,
                        "denominator": 20
                      },
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -4,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -3,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -21,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": -21,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": -4,
                        "denominator": 5
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": -11,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 4
                      }
                    ],
                    [
                      {
                        "numerator": -3,
                        "denominator": 10
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 5
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 9,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 4
                      }
                    ],
                    [
                      {
                        "numerator": 7,
                        "denominator": 10
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -3,
                        "denominator": 8
                      }
                    ]
                  ],
                  "edge_angle_affine_coefficients": [
                    [
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": -8,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -4,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -2,
                        "denominator": 1
                      },
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ]
                  ],
                  "edge_integer_offsets": [
                    0,
                    2,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    1,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0
                  ],
                  "named_cycle_periods": [
                    {
                      "numerator": 2,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "laplacian": [
                    [
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_laplacian": [
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_upper_slack_matrix": [
                    [
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_sine_symbol_coefficients": [
                    [
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ]
                  ],
                  "readout_forcing_moments": [
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ]
                  ],
                  "dipole": [
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": -1,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "nominal_edge_angle_bounds": [
                    {
                      "lo": {
                        "numerator": 32648404760204035397398147150986878161,
                        "denominator": 21267647932558653966460912964485513216
                      },
                      "hi": {
                        "numerator": 133252075032385973335400202724508201797,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    },
                    {
                      "lo": {
                        "numerator": -353,
                        "denominator": 256
                      },
                      "hi": {
                        "numerator": -11,
                        "denominator": 8
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11380756827645381430937234186501364945,
                        "denominator": 42535295865117307932921825928971026432
                      },
                      "hi": {
                        "numerator": 153076694424459125516342202971760333109,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 353,
                        "denominator": 256
                      }
                    },
                    {
                      "lo": {
                        "numerator": -153076694424459125516342202971760333109,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": -11380756827645381430937234186501364945,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 353,
                        "denominator": 256
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 353,
                        "denominator": 256
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 353,
                        "denominator": 256
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 353,
                        "denominator": 256
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 353,
                        "denominator": 256
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 353,
                        "denominator": 256
                      }
                    },
                    {
                      "lo": {
                        "numerator": 113427455640312821154458202477256070485,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 1,
                        "denominator": 1
                      }
                    },
                    {
                      "lo": {
                        "numerator": -238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": -224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "nominal_acute_margin": {
                    "numerator": 752995951469740294119687841451292231,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "source_acute_margin": {
                    "numerator": 752995951469135831209880526863939143,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "total_duration": {
                    "numerator": 1,
                    "denominator": 4194304
                  },
                  "actual_phase_jumps": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 1,
                      "denominator": 2
                    }
                  ],
                  "whole_window_form_norm_candidate": {
                    "numerator": 3023483214910983165,
                    "denominator": 5559855157069972802690351104
                  },
                  "whole_window_phase_norm_candidate": {
                    "numerator": 8339782735604978957078760445,
                    "denominator": 5559855157069972802690351104
                  },
                  "whole_window_acute_margin_candidate": {
                    "numerator": -10540738374106502853183819213961903794648891197124951881287,
                    "denominator": 7047953727041767680220543876983511860363048493743660335104
                  },
                  "finite_remainder_candidate": {
                    "numerator": 4639535003157425283587,
                    "denominator": 35784114521081635733937455184060874752
                  },
                  "finite_remainder_upper_bound": {
                    "numerator": 4639535003157425283587,
                    "denominator": 35784114521081635733937455184060874752
                  },
                  "gamma_bounds": {
                    "lo": {
                      "numerator": 3308750045361523034179564622145679,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": 105880001451568737093746067908661729,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "response_scale_bounds": [
                    {
                      "lo": {
                        "numerator": 9246095636201016491825598365,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 9246095636201016491825598367,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 22776626151303202614030398685,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 22776626151303202614030398687,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "response_matrix_bounds": [
                    [
                      {
                        "lo": {
                          "numerator": 4586977260608963831896929583,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 9173954521217927663793859169,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 288188627074419732126565583,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": 1152754508297678928506262333,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": 21193824235234970656065224535,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 10596912117617485328032612269,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": 4171226232242616901931199729,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 8342452464485233803862399459,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ]
                  ],
                  "determinant_angle_factor_bounds": {
                    "lo": {
                      "numerator": 21046801210185120193770697126998656397,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 84187204840740480775082788507994625591,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "determinant_bounds": {
                    "lo": {
                      "numerator": 19139253210804655,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 76557012843218621,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  "inverse_matrix_bounds": [
                    [
                      {
                        "lo": {
                          "numerator": 18540362045956643852135291317419266613400975079083,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 9270181022978321926067645660714843157499026655537,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": -640473710366729561686044817866962297943543119411,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": -1280947420733459123372089635621445476830023063829,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": -47101398075976061409491892021296181590516706511879,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": -23550699037988030704745946005553897533816769575475,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": 10194150877131574339968306122523176018060256614483,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 5097075438565787169984153061709158725341529596067,
                          "denominator": 85070591730234615865843651857942052864
                        }
                      }
                    ]
                  ],
                  "inverse_row_sum_upper_bounds": [
                    {
                      "numerator": 10551128443711781049439735296448767753386112894359,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 67489699830239210089428504268132816491882824896147,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  "reading_midpoints": [
                    {
                      "numerator": 261755666862260355270666957534738848657,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": 65438916714635143881143283213888927279,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 261755666841081467654312758059403316681,
                      "denominator": 680564733841876926926749214863536422912
                    }
                  ],
                  "reading_radii": [
                    {
                      "numerator": 5,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": 1,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    {
                      "numerator": 896717153395981305,
                      "denominator": 232072574240080032082021482268465920212992
                    }
                  ],
                  "recorded_increment_midpoints": [
                    {
                      "numerator": -3719779746093824679183139541,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": -17459107870260374796152392435,
                      "denominator": 680564733841876926926749214863536422912
                    }
                  ],
                  "transformed_reading_coefficients": [
                    [
                      {
                        "lo": {
                          "numerator": 18540362045956643852135291317419266613400975079083,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 9270181022978321926067645660714843157499026655537,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": -10551128443711781049439735296448767753386112894359,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": -21102256887423562098879470588662157567061021206741,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 1280947420733459123372089635621445476830023063829,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 640473710366729561686044817866962297943543119411,
                          "denominator": 85070591730234615865843651857942052864
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": -47101398075976061409491892021296181590516706511879,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": -23550699037988030704745946005553897533816769575475,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": 16872424957559802522357126064038536775938513094979,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": 67489699830239210089428504268132816491882824896147,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": -5097075438565787169984153061709158725341529596067,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": -10194150877131574339968306122523176018060256614483,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      }
                    ]
                  ],
                  "transformed_centers": [
                    {
                      "lo": {
                        "numerator": 35614047612395184167403087651877835289,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 35614047612395184167403087741582691955,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 132797604735552959038346400936414464555,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 265595209471105918076692802172777905315,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "transformed_observation_error_radii": [
                    {
                      "numerator": 1152603495917921786010760887344474686978814314819143664419653950143,
                      "denominator": 39485102429924822639437705887962576577965064770983432337455036146698377207218176
                    },
                    {
                      "numerator": 18307844058675586005322106206698341482959174912587837673515287705019,
                      "denominator": 78970204859849645278875411775925153155930129541966864674910072293396754414436352
                    }
                  ],
                  "transformed_flow_error_radii": [
                    {
                      "numerator": 48952329737410737809761914545529542384562203325081731449979062947585733,
                      "denominator": 3044175796850895832534184118722269040603787012611444895918585408674466889728
                    },
                    {
                      "numerator": 313120824714982558207951219224312253482238080003409530526291605298639289,
                      "denominator": 6088351593701791665068368237444538081207574025222889791837170817348933779456
                    }
                  ],
                  "raw_transformed_bounds": [
                    {
                      "lo": {
                        "numerator": 17804287825135524259002530535175555623,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 17809759787259659908400557161554707999,
                        "denominator": 170141183460469231731687303715884105728
                      }
                    },
                    {
                      "lo": {
                        "numerator": 265577708922031719859589208982968568409,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 8300397188130628634181137345707445813,
                        "denominator": 10633823966279326983230456482242756608
                      }
                    }
                  ],
                  "prior_transformed_bounds": [
                    {
                      "lo": {
                        "numerator": 8112102785374444040925304043342967057,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 16550288638384032083354480997374461905,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 83445152785038620452101670385288163211,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 167018331100874588528261255032437823953,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    }
                  ],
                  "transformed_coordinate_bounds": [
                    {
                      "lo": {
                        "numerator": 17804287825135524259002530535175555623,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 17809759787259659908400557161554707999,
                        "denominator": 170141183460469231731687303715884105728
                      }
                    },
                    {
                      "lo": {
                        "numerator": 265577708922031719859589208982968568409,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 8300397188130628634181137345707445813,
                        "denominator": 10633823966279326983230456482242756608
                      }
                    }
                  ],
                  "nominal_bulk_angle_outer_bounds": null,
                  "actual_long_arc_mean_outer_bounds": null,
                  "readout_gain_outer_bounds": null,
                  "source_admitted": true,
                  "finite_response_certified": true,
                  "rank_deficient": false,
                  "rank_certified": true,
                  "whole_window_acute_certified": false,
                  "inverse_enclosure_available": false,
                  "status": "incompatible",
                  "unavailable_reasons": [],
                  "incompatibility_reasons": [
                    "joint_angle_or_gain_projection_excludes_its_supplied_prior"
                  ],
                  "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
                  "law": "normalized_sine_reciprocal_exchange",
                  "clock": "tau=e*t",
                  "capacity": [
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    }
                  ],
                  "transformed_coordinate_order": [
                    "gain_times_cos_bulk",
                    "gain_times_sin_bulk"
                  ],
                  "scope": [
                    "same_noncritical_affine_source_family_and_full_two_port_sine_law",
                    "two_successive_equal_windows_without_source_or_equilibrium_reset",
                    "cumulative_amplitudes_determine_first_jump_and_second_amplitude_difference",
                    "three_scalar_readings_share_one_held_positive_gain_and_one_held_offset",
                    "shared_middle_observation_error_retained_before_coordinate_projection",
                    "exact_reading_midpoint_differences_cancel_arbitrary_common_offset",
                    "full_original_source_errors_and_both_evolving_rows_enter_uniform_remainder",
                    "positive_gain_prior_is_supplied_information_not_inferred_physical_calibration",
                    "coordinate_box_can_discard_joint_error_correlations_without_claiming_realizability",
                    "bounded_candidate_gives_necessary_marginals_not_existence_or_point_identification",
                    "actual_pre_probe_arc_mean_expands_nominal_angle_by_original_phase_radius_over_eight",
                    "leading_rank_failure_does_not_exclude_a_full_nonlinear_response",
                    "no_target_root_trajectory_producer_hidden_source_or_cached_report_consumed",
                    "whole_window_acuity_is_optional_and_not_an_inverse_admission_gate"
                  ]
                },
                "finite_remainder_over_clock_candidate": {
                  "numerator": 4639535003157425283587,
                  "denominator": 71568229042163271467874910368121749504
                },
                "finite_remainder_over_clock_upper_bound": {
                  "numerator": 4639535003157425283587,
                  "denominator": 71568229042163271467874910368121749504
                },
                "nominal_bulk_angle_outer_bounds": null,
                "actual_long_arc_mean_outer_bounds": null,
                "effective_gain_outer_bounds": null,
                "readout_gain_outer_bounds": null,
                "clock_rate_outer_bounds": null,
                "source_admitted": true,
                "finite_response_certified": true,
                "rank_deficient": false,
                "rank_certified": true,
                "whole_window_acute_certified": false,
                "inverse_enclosure_available": false,
                "status": "incompatible",
                "unavailable_reasons": [],
                "incompatibility_reasons": [
                  "joint_angle_or_gain_projection_excludes_its_supplied_prior"
                ],
                "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
                "clock": "tau=rho*s; rho is one held positive rate",
                "effective_gain_relation": "J=G*rho",
                "complete_observed_rows": [
                  "dx/ds=rho*(-A*x+gamma*f(theta))",
                  "dtheta/ds=rho*gamma*A*x"
                ],
                "scope": [
                  "fixed_gamma_and_complete_two_port_law_under_one_unknown_constant_clock_rate",
                  "two_events_at_observed_times_zero_and_H_without_source_reset",
                  "auxiliary_envelope_gain_is_L_equal_G_times_rho_over_rho_upper",
                  "auxiliary_upper_duration_is_not_the_actual_unknown_trajectory_duration",
                  "monotone_finite_remainder_over_clock_rate_retains_full_flow_dependence",
                  "three_reading_errors_remain_in_sensor_units_without_clock_division",
                  "effective_gain_J_is_G_times_rho_not_sensor_gain_alone",
                  "separate_gain_and_clock_bounds_project_one_necessary_product_relation",
                  "coordinate_product_need_not_be_jointly_realizable",
                  "no_exact_full_flow_gain_clock_symmetry_or_separate_point_identification",
                  "original_source_actual_arc_mean_retains_original_phase_radius_over_eight",
                  "no_acquisition_calibration_trajectory_producer_or_physical_identification"
                ]
              },
              "observation_times": [
                {
                  "numerator": 0,
                  "denominator": 1
                },
                {
                  "numerator": 1,
                  "denominator": 33554432
                },
                {
                  "numerator": 1,
                  "denominator": 16777216
                },
                {
                  "numerator": 1,
                  "denominator": 8388608
                }
              ],
              "reading_midpoints": [
                {
                  "numerator": 261755666862260355270666957534738848657,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 261755666860400465350679444477518182307,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 65438916714635143881143283213888927279,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 261755666841081467654312758059403316681,
                  "denominator": 680564733841876926926749214863536422912
                }
              ],
              "reading_radii": [
                {
                  "numerator": 5,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 112089644174500519,
                  "denominator": 232072574240080032082021482268465920212992
                },
                {
                  "numerator": 1,
                  "denominator": 42535295865117307932921825928971026432
                },
                {
                  "numerator": 896717153395981305,
                  "denominator": 232072574240080032082021482268465920212992
                }
              ],
              "curvature_midpoint": {
                "numerator": 93881201435258193159,
                "denominator": 680564733841876926926749214863536422912
              },
              "curvature_observation_radius": {
                "numerator": 224929155279151431,
                "denominator": 232072574240080032082021482268465920212992
              },
              "sensor_corrected_curvature_bounds": {
                "lo": {
                  "numerator": 5867533863685440747,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 46940930525774667183,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "embedded_inverse_reading_coefficients": [
                [
                  {
                    "lo": {
                      "numerator": 18540362045956643852135291317419266613400975079083,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 9270181022978321926067645660714843157499026655537,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 0,
                      "denominator": 1
                    },
                    "hi": {
                      "numerator": 0,
                      "denominator": 1
                    }
                  },
                  {
                    "lo": {
                      "numerator": -10551128443711781049439735296448767753386112894359,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -21102256887423562098879470588662157567061021206741,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1280947420733459123372089635621445476830023063829,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 640473710366729561686044817866962297943543119411,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -47101398075976061409491892021296181590516706511879,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -23550699037988030704745946005553897533816769575475,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 0,
                      "denominator": 1
                    },
                    "hi": {
                      "numerator": 0,
                      "denominator": 1
                    }
                  },
                  {
                    "lo": {
                      "numerator": 16872424957559802522357126064038536775938513094979,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 67489699830239210089428504268132816491882824896147,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -5097075438565787169984153061709158725341529596067,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -10194150877131574339968306122523176018060256614483,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ]
              ],
              "first_window_sine_norm_candidate": {
                "numerator": 13899637892674951759769111549,
                "denominator": 2779927578534986401345175552
              },
              "initial_curvature_error_candidate": {
                "numerator": 9421831,
                "denominator": 662786383279558754304
              },
              "third_derivative_bound_candidate": {
                "numerator": 727882162916499764311947118381803509998888464858299459116709897,
                "denominator": 111693431477012008439152141089655636231611737613829992124847751168
              },
              "normalized_curvature_error_candidate": {
                "numerator": 727908801385579642623680855779531050201302810552846225220024329,
                "denominator": 936952412835514750088739163961813987337588075041275182578434844229894144
              },
              "normalized_curvature_error_upper_bound": {
                "numerator": 727908801385579642623680855779531050201302810552846225220024329,
                "denominator": 936952412835514750088739163961813987337588075041275182578434844229894144
              },
              "effective_gain_denominator_bounds": null,
              "curvature_coefficient_bounds": null,
              "normalized_curvature_observation_bounds": null,
              "clock_rate_constraint_bounds": null,
              "nominal_bulk_angle_outer_bounds": null,
              "actual_long_arc_mean_outer_bounds": null,
              "effective_gain_outer_bounds": null,
              "readout_gain_outer_bounds": null,
              "clock_rate_outer_bounds": null,
              "source_admitted": true,
              "finite_curvature_bound_certified": true,
              "base_inverse_enclosure_available": false,
              "curvature_coefficient_positive": false,
              "curvature_refinement_available": false,
              "inverse_enclosure_available": false,
              "status": "incompatible",
              "unavailable_reasons": [],
              "incompatibility_reasons": [
                "joint_angle_or_gain_projection_excludes_its_supplied_prior"
              ],
              "curvature_reading_coefficients": [
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": -2,
                  "denominator": 1
                },
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": 0,
                  "denominator": 1
                }
              ],
              "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
              "clock": "tau=rho*s; rho is one held positive rate",
              "effective_gain_relation": "J=G*rho",
              "scope": [
                "four_readings_on_one_complete_two_pulse_trajectory_at_zero_H_over_two_H_two_H",
                "first_and_second_phase_events_remain_at_zero_and_H_without_reset",
                "finite_second_difference_is_not_a_supplied_derivative_observation",
                "all_four_readings_are_admitted_before_the_three_reading_clock_envelope",
                "exact_midpoint_second_difference_cancels_arbitrary_held_offset",
                "four_reading_error_coefficients_are_retained_before_marginal_relaxation",
                "complete_initial_state_error_and_third_derivative_remainder_are_retained",
                "clock_refinement_uses_positive_factors_and_exact_endpoint_division",
                "necessary_constraint_intersection_does_not_assert_joint_error_or_state_realizability",
                "original_angle_and_actual_pre_probe_arc_mean_remain_the_child_statistics",
                "unavailable_refinement_retains_the_coarse_clock_report_separately",
                "no_clock_grid_shooting_repeated_fit_or_additional_response_evaluation",
                "no_physical_calibration_source_acquisition_or_unique_law_identification"
              ]
            },
            "observation_times": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 33554432
              },
              {
                "numerator": 1,
                "denominator": 16777216
              },
              {
                "numerator": 1,
                "denominator": 8388608
              }
            ],
            "structural_duration_upper_bound": {
              "numerator": 1,
              "denominator": 4194304
            },
            "whole_window_form_norm_candidate": {
              "numerator": 469765117,
              "denominator": 863846703525003264
            },
            "whole_window_form_norm_upper_bound": {
              "numerator": 469765117,
              "denominator": 863846703525003264
            },
            "structural_readout_speed_candidate": {
              "numerator": 109462543139157,
              "denominator": 47991483529166848
            },
            "structural_readout_speed_upper_bound": {
              "numerator": 109462543139157,
              "denominator": 47991483529166848
            },
            "exposure_discrepancy_bounds": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 9444732965739290427392
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1180591620717411303424
              }
            ],
            "recorded_discrepancy_candidates": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 226633373281328156330099103777798750208
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 28329171660166019541262387972224843776
              }
            ],
            "recorded_discrepancy_upper_bounds": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 226633373281328156330099103777798750208
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 28329171660166019541262387972224843776
              }
            ],
            "comparison_reading_bounds": [
              [
                {
                  "numerator": 65438916715565088817666739383684712163,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833431130177635333478767369424331,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 11157335299924569835572697309648690708271,
                  "denominator": 29009071780010004010252685283558240026624
                },
                {
                  "numerator": 44629341199698279342290901328238937333603,
                  "denominator": 116036287120040016041010741134232960106496
                }
              ],
              [
                {
                  "numerator": 65438916714635143881143283213888927275,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 65438916714635143881143283213888927283,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              [
                {
                  "numerator": 22314670598202195117529938445275783751729,
                  "denominator": 58018143560020008020505370567116480053248
                },
                {
                  "numerator": 44629341196404390235060773607704963484763,
                  "denominator": 116036287120040016041010741134232960106496
                }
              ]
            ],
            "nominal_bulk_angle_outer_bounds": null,
            "actual_long_arc_mean_outer_bounds": null,
            "effective_gain_outer_bounds": null,
            "readout_gain_outer_bounds": null,
            "first_window_mean_clock_rate_outer_bounds": null,
            "source_admitted": true,
            "clock_drift_transfer_certified": true,
            "finite_curvature_bound_certified": true,
            "rank_deficient": false,
            "rank_certified": true,
            "inverse_enclosure_available": false,
            "status": "incompatible",
            "unavailable_reasons": [],
            "incompatibility_reasons": [
              "joint_angle_or_gain_projection_excludes_its_supplied_prior"
            ],
            "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
            "clock": "tau(s)=integral_0^s rho(u) du; positive C1 rho with supplied bounds",
            "inferred_clock_statistic": "rho_bar_1=(1/H)*integral_0^H rho(s) ds",
            "effective_gain_relation": "J=G*rho_bar_1",
            "complete_observed_rows": [
              "dx/ds=rho(s)*(-A*x+gamma*f(theta))",
              "dtheta/ds=rho(s)*gamma*A*x"
            ],
            "scope": [
              "global_positive_clock_rate_and_C1_derivative_bounds_are_supplied_premises",
              "fixed_complete_two_port_law_and_both_rows_share_one_clock_exposure",
              "four_point_readings_at_zero_H_over_two_H_two_H_are_not_exposure_averages",
              "original_source_and_phase_events_at_zero_and_H_are_preserved",
              "constant_first_window_mean_reference_agrees_exactly_at_zero_and_H",
              "second_event_starts_from_the_same_complete_state_in_both_histories",
              "only_half_time_and_final_reading_bands_receive_clock_comparison_allowances",
              "original_sensor_error_gain_and_offset_premises_remain_unchanged",
              "reference_envelope_is_a_constraint_on_a_comparison_history_not_actual_constant_clock_flow",
              "reference_status_and_reasons_apply_to_the_widened_necessary_constraints",
              "effective_gain_uses_first_window_mean_rate_not_pointwise_clock_rate",
              "original_actual_arc_mean_retains_the_original_phase_radius_over_eight",
              "marginal_intersections_do_not_certify_joint_state_error_or_clock_profile_realizability",
              "no_profile_fit_clock_grid_response_producer_or_cached_report_input",
              "no_physical_clock_calibration_acquisition_or_unique_law_identification"
            ]
          }
        },
        "false_gain": {
          "schema": "tnfr.sine-clock-drift-inference.v1",
          "report": {
            "bulk_angle_bounds": [
              {
                "numerator": 11,
                "denominator": 8
              },
              {
                "numerator": 3,
                "denominator": 2
              }
            ],
            "receiver_short_angle_bounds": [
              {
                "numerator": 2,
                "denominator": 3
              },
              {
                "numerator": 1,
                "denominator": 1
              }
            ],
            "form_radius": {
              "numerator": 1,
              "denominator": 281474976710656
            },
            "phase_radius": {
              "numerator": 1,
              "denominator": 281474976710656
            },
            "phase_increments": [
              {
                "numerator": 1,
                "denominator": 4
              },
              {
                "numerator": 3,
                "denominator": 4
              }
            ],
            "probe_duration": {
              "numerator": 1,
              "denominator": 16777216
            },
            "recorded_reading_bounds": [
              [
                {
                  "numerator": 65438916715565088817666739383684712163,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833431130177635333478767369424331,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 32719458357550058168834930559689772787,
                  "denominator": 85070591730234615865843651857942052864
                },
                {
                  "numerator": 130877833430200232675339722238759091159,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 65438916714635143881143283213888927275,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 65438916714635143881143283213888927283,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              [
                {
                  "numerator": 65438916710270366913578189514850829165,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833420540733827156379029701658351,
                  "denominator": 340282366920938463463374607431768211456
                }
              ]
            ],
            "readout_error_bound": {
              "numerator": 1,
              "denominator": 1237940039285380274899124224
            },
            "readout_gain_bounds": [
              {
                "numerator": 31,
                "denominator": 16
              },
              {
                "numerator": 2,
                "denominator": 1
              }
            ],
            "clock_rate_bounds": [
              {
                "numerator": 1,
                "denominator": 2
              },
              {
                "numerator": 2,
                "denominator": 1
              }
            ],
            "clock_rate_derivative_bound": {
              "numerator": 1,
              "denominator": 4194304
            },
            "reference_envelope": {
              "bulk_angle_bounds": [
                {
                  "numerator": 11,
                  "denominator": 8
                },
                {
                  "numerator": 3,
                  "denominator": 2
                }
              ],
              "receiver_short_angle_bounds": [
                {
                  "numerator": 2,
                  "denominator": 3
                },
                {
                  "numerator": 1,
                  "denominator": 1
                }
              ],
              "form_radius": {
                "numerator": 1,
                "denominator": 281474976710656
              },
              "phase_radius": {
                "numerator": 1,
                "denominator": 281474976710656
              },
              "phase_increments": [
                {
                  "numerator": 1,
                  "denominator": 4
                },
                {
                  "numerator": 3,
                  "denominator": 4
                }
              ],
              "probe_duration": {
                "numerator": 1,
                "denominator": 16777216
              },
              "recorded_reading_bounds": [
                [
                  {
                    "numerator": 65438916715565088817666739383684712163,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  {
                    "numerator": 130877833431130177635333478767369424331,
                    "denominator": 340282366920938463463374607431768211456
                  }
                ],
                [
                  {
                    "numerator": 11157335299924569835572697309648690708271,
                    "denominator": 29009071780010004010252685283558240026624
                  },
                  {
                    "numerator": 44629341199698279342290901328238937333603,
                    "denominator": 116036287120040016041010741134232960106496
                  }
                ],
                [
                  {
                    "numerator": 65438916714635143881143283213888927275,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  {
                    "numerator": 65438916714635143881143283213888927283,
                    "denominator": 170141183460469231731687303715884105728
                  }
                ],
                [
                  {
                    "numerator": 22314670598202195117529938445275783751729,
                    "denominator": 58018143560020008020505370567116480053248
                  },
                  {
                    "numerator": 44629341196404390235060773607704963484763,
                    "denominator": 116036287120040016041010741134232960106496
                  }
                ]
              ],
              "readout_error_bound": {
                "numerator": 1,
                "denominator": 1237940039285380274899124224
              },
              "readout_gain_bounds": [
                {
                  "numerator": 31,
                  "denominator": 16
                },
                {
                  "numerator": 2,
                  "denominator": 1
                }
              ],
              "clock_rate_bounds": [
                {
                  "numerator": 1,
                  "denominator": 2
                },
                {
                  "numerator": 2,
                  "denominator": 1
                }
              ],
              "clock_envelope": {
                "bulk_angle_bounds": [
                  {
                    "numerator": 11,
                    "denominator": 8
                  },
                  {
                    "numerator": 3,
                    "denominator": 2
                  }
                ],
                "receiver_short_angle_bounds": [
                  {
                    "numerator": 2,
                    "denominator": 3
                  },
                  {
                    "numerator": 1,
                    "denominator": 1
                  }
                ],
                "form_radius": {
                  "numerator": 1,
                  "denominator": 281474976710656
                },
                "phase_radius": {
                  "numerator": 1,
                  "denominator": 281474976710656
                },
                "phase_increments": [
                  {
                    "numerator": 1,
                    "denominator": 4
                  },
                  {
                    "numerator": 3,
                    "denominator": 4
                  }
                ],
                "probe_duration": {
                  "numerator": 1,
                  "denominator": 16777216
                },
                "recorded_reading_bounds": [
                  [
                    {
                      "numerator": 65438916715565088817666739383684712163,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 130877833431130177635333478767369424331,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  [
                    {
                      "numerator": 65438916714635143881143283213888927275,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 65438916714635143881143283213888927283,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  ],
                  [
                    {
                      "numerator": 22314670598202195117529938445275783751729,
                      "denominator": 58018143560020008020505370567116480053248
                    },
                    {
                      "numerator": 44629341196404390235060773607704963484763,
                      "denominator": 116036287120040016041010741134232960106496
                    }
                  ]
                ],
                "readout_error_bound": {
                  "numerator": 1,
                  "denominator": 1237940039285380274899124224
                },
                "readout_gain_bounds": [
                  {
                    "numerator": 31,
                    "denominator": 16
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "clock_rate_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 2
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "structural_probe_duration_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 33554432
                  },
                  {
                    "numerator": 1,
                    "denominator": 8388608
                  }
                ],
                "auxiliary_gain_prior_bounds": [
                  {
                    "numerator": 31,
                    "denominator": 64
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "effective_gain_prior_bounds": [
                  {
                    "numerator": 31,
                    "denominator": 32
                  },
                  {
                    "numerator": 4,
                    "denominator": 1
                  }
                ],
                "constraint_envelope": {
                  "bulk_angle_bounds": [
                    {
                      "numerator": 11,
                      "denominator": 8
                    },
                    {
                      "numerator": 3,
                      "denominator": 2
                    }
                  ],
                  "receiver_short_angle_bounds": [
                    {
                      "numerator": 2,
                      "denominator": 3
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    }
                  ],
                  "form_radius": {
                    "numerator": 1,
                    "denominator": 281474976710656
                  },
                  "phase_radius": {
                    "numerator": 1,
                    "denominator": 281474976710656
                  },
                  "phase_increments": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 3,
                      "denominator": 4
                    }
                  ],
                  "probe_duration": {
                    "numerator": 1,
                    "denominator": 8388608
                  },
                  "recorded_reading_bounds": [
                    [
                      {
                        "numerator": 65438916715565088817666739383684712163,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      {
                        "numerator": 130877833431130177635333478767369424331,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    ],
                    [
                      {
                        "numerator": 65438916714635143881143283213888927275,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      {
                        "numerator": 65438916714635143881143283213888927283,
                        "denominator": 170141183460469231731687303715884105728
                      }
                    ],
                    [
                      {
                        "numerator": 22314670598202195117529938445275783751729,
                        "denominator": 58018143560020008020505370567116480053248
                      },
                      {
                        "numerator": 44629341196404390235060773607704963484763,
                        "denominator": 116036287120040016041010741134232960106496
                      }
                    ]
                  ],
                  "readout_error_bound": {
                    "numerator": 1,
                    "denominator": 1237940039285380274899124224
                  },
                  "readout_gain_bounds": [
                    {
                      "numerator": 31,
                      "denominator": 64
                    },
                    {
                      "numerator": 2,
                      "denominator": 1
                    }
                  ],
                  "reference_model": {
                    "storage_scale": 1.0,
                    "epi_weight": 0.9990234375,
                    "phase_weight": 0.0009765625,
                    "phase_domain": "regular"
                  },
                  "geometry": {
                    "nodes": [
                      0,
                      1,
                      2,
                      3,
                      4,
                      5,
                      6,
                      7,
                      8,
                      9,
                      10,
                      11,
                      12,
                      13,
                      14,
                      15,
                      16,
                      17
                    ],
                    "edges": [
                      [
                        0,
                        1
                      ],
                      [
                        0,
                        8
                      ],
                      [
                        0,
                        9
                      ],
                      [
                        1,
                        2
                      ],
                      [
                        1,
                        10
                      ],
                      [
                        2,
                        3
                      ],
                      [
                        3,
                        4
                      ],
                      [
                        4,
                        5
                      ],
                      [
                        5,
                        6
                      ],
                      [
                        6,
                        7
                      ],
                      [
                        7,
                        8
                      ],
                      [
                        9,
                        10
                      ],
                      [
                        9,
                        17
                      ],
                      [
                        10,
                        11
                      ],
                      [
                        11,
                        12
                      ],
                      [
                        12,
                        13
                      ],
                      [
                        13,
                        14
                      ],
                      [
                        14,
                        15
                      ],
                      [
                        15,
                        16
                      ],
                      [
                        16,
                        17
                      ]
                    ],
                    "incidence": [
                      [
                        -1,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        1,
                        0,
                        0,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1
                      ]
                    ],
                    "tree_edge_indices": [
                      0,
                      1,
                      2,
                      3,
                      4,
                      10,
                      12,
                      5,
                      13,
                      9,
                      19,
                      6,
                      14,
                      8,
                      18,
                      15,
                      17
                    ],
                    "fundamental_cycles": [
                      [
                        4,
                        5,
                        6,
                        7,
                        8,
                        0,
                        1,
                        2,
                        3
                      ],
                      [
                        9,
                        10,
                        1,
                        0
                      ],
                      [
                        13,
                        14,
                        15,
                        16,
                        17,
                        9,
                        0,
                        1,
                        10,
                        11,
                        12
                      ]
                    ],
                    "cycle_rows": [
                      [
                        1,
                        -1,
                        0,
                        1,
                        0,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        -1,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        1,
                        0,
                        -1,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        -1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1
                      ]
                    ],
                    "bridge_edge_indices": [],
                    "cycle_rank": 3,
                    "short_cycle_span_rank": 1,
                    "scope": [
                      "connected_simple_undirected_phase_support_without_self_loops",
                      "node_order_and_cycle_basis_are_coordinates_not_physical_selectors",
                      "all_support_edges_retained_independently_of_transport_weights",
                      "integer_fundamental_cycles_and_exact_rational_short_cycle_rank",
                      "32_node_50_edge_evaluation_budget_is_not_a_physical_restriction",
                      "no_graph_write_live_phase_admission_or_trajectory_claim"
                    ]
                  },
                  "degrees": [
                    3,
                    3,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    3,
                    3,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2
                  ],
                  "nodal_angle_affine_coefficients": [
                    [
                      {
                        "numerator": -61,
                        "denominator": 20
                      },
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -4,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -3,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -21,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": -21,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": -4,
                        "denominator": 5
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": -11,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 4
                      }
                    ],
                    [
                      {
                        "numerator": -3,
                        "denominator": 10
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 5
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 9,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 4
                      }
                    ],
                    [
                      {
                        "numerator": 7,
                        "denominator": 10
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -3,
                        "denominator": 8
                      }
                    ]
                  ],
                  "edge_angle_affine_coefficients": [
                    [
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": -8,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -4,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -2,
                        "denominator": 1
                      },
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ]
                  ],
                  "edge_integer_offsets": [
                    0,
                    2,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    1,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0
                  ],
                  "named_cycle_periods": [
                    {
                      "numerator": 2,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "laplacian": [
                    [
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_laplacian": [
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_upper_slack_matrix": [
                    [
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_sine_symbol_coefficients": [
                    [
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ]
                  ],
                  "readout_forcing_moments": [
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ]
                  ],
                  "dipole": [
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": -1,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "nominal_edge_angle_bounds": [
                    {
                      "lo": {
                        "numerator": 12045370825537839367389137716641537233,
                        "denominator": 21267647932558653966460912964485513216
                      },
                      "hi": {
                        "numerator": 133252075032385973335400202724508201797,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    },
                    {
                      "lo": {
                        "numerator": -3,
                        "denominator": 2
                      },
                      "hi": {
                        "numerator": -11,
                        "denominator": 8
                      }
                    },
                    {
                      "lo": {
                        "numerator": -9222277107020814599071775247843975983,
                        "denominator": 42535295865117307932921825928971026432
                      },
                      "hi": {
                        "numerator": 153076694424459125516342202971760333109,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": -153076694424459125516342202971760333109,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 9222277107020814599071775247843975983,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 113427455640312821154458202477256070485,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 1,
                        "denominator": 1
                      }
                    },
                    {
                      "lo": {
                        "numerator": -238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": -224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "nominal_acute_margin": {
                    "numerator": 752995951469740294119687841451292231,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "source_acute_margin": {
                    "numerator": 752995951469135831209880526863939143,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "total_duration": {
                    "numerator": 1,
                    "denominator": 4194304
                  },
                  "actual_phase_jumps": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 1,
                      "denominator": 2
                    }
                  ],
                  "whole_window_form_norm_candidate": {
                    "numerator": 3023483214910983165,
                    "denominator": 5559855157069972802690351104
                  },
                  "whole_window_phase_norm_candidate": {
                    "numerator": 8339782735604978957078760445,
                    "denominator": 5559855157069972802690351104
                  },
                  "whole_window_acute_margin_candidate": {
                    "numerator": -10540738374106502853183819213961903794648891197124951881287,
                    "denominator": 7047953727041767680220543876983511860363048493743660335104
                  },
                  "finite_remainder_candidate": {
                    "numerator": 4639535003157425283587,
                    "denominator": 35784114521081635733937455184060874752
                  },
                  "finite_remainder_upper_bound": {
                    "numerator": 4639535003157425283587,
                    "denominator": 35784114521081635733937455184060874752
                  },
                  "gamma_bounds": {
                    "lo": {
                      "numerator": 3308750045361523034179564622145679,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": 105880001451568737093746067908661729,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "response_scale_bounds": [
                    {
                      "lo": {
                        "numerator": 9246095636201016491825598365,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 9246095636201016491825598367,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 22776626151303202614030398685,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 22776626151303202614030398687,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "response_matrix_bounds": [
                    [
                      {
                        "lo": {
                          "numerator": 4586977260608963831896929583,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 9173954521217927663793859169,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 288188627074419732126565583,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": 1152754508297678928506262333,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": 21193824235234970656065224535,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 10596912117617485328032612269,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": 4171226232242616901931199729,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 8342452464485233803862399459,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ]
                  ],
                  "determinant_angle_factor_bounds": {
                    "lo": {
                      "numerator": 21046801210185120193770697126998656397,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 84187204840740480775082788507994625591,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "determinant_bounds": {
                    "lo": {
                      "numerator": 19139253210804655,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    "hi": {
                      "numerator": 76557012843218621,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  "inverse_matrix_bounds": [
                    [
                      {
                        "lo": {
                          "numerator": 18540362045956643852135291317419266613400975079083,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 9270181022978321926067645660714843157499026655537,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": -640473710366729561686044817866962297943543119411,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": -1280947420733459123372089635621445476830023063829,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": -47101398075976061409491892021296181590516706511879,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": -23550699037988030704745946005553897533816769575475,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": 10194150877131574339968306122523176018060256614483,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 5097075438565787169984153061709158725341529596067,
                          "denominator": 85070591730234615865843651857942052864
                        }
                      }
                    ]
                  ],
                  "inverse_row_sum_upper_bounds": [
                    {
                      "numerator": 10551128443711781049439735296448767753386112894359,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 67489699830239210089428504268132816491882824896147,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  "reading_midpoints": [
                    {
                      "numerator": 261755666862260355270666957534738848657,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": 65438916714635143881143283213888927279,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 261755666841081467654312758059403316681,
                      "denominator": 680564733841876926926749214863536422912
                    }
                  ],
                  "reading_radii": [
                    {
                      "numerator": 5,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": 1,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    {
                      "numerator": 896717153395981305,
                      "denominator": 232072574240080032082021482268465920212992
                    }
                  ],
                  "recorded_increment_midpoints": [
                    {
                      "numerator": -3719779746093824679183139541,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": -17459107870260374796152392435,
                      "denominator": 680564733841876926926749214863536422912
                    }
                  ],
                  "transformed_reading_coefficients": [
                    [
                      {
                        "lo": {
                          "numerator": 18540362045956643852135291317419266613400975079083,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 9270181022978321926067645660714843157499026655537,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": -10551128443711781049439735296448767753386112894359,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": -21102256887423562098879470588662157567061021206741,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 1280947420733459123372089635621445476830023063829,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 640473710366729561686044817866962297943543119411,
                          "denominator": 85070591730234615865843651857942052864
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": -47101398075976061409491892021296181590516706511879,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": -23550699037988030704745946005553897533816769575475,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": 16872424957559802522357126064038536775938513094979,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": 67489699830239210089428504268132816491882824896147,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": -5097075438565787169984153061709158725341529596067,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": -10194150877131574339968306122523176018060256614483,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      }
                    ]
                  ],
                  "transformed_centers": [
                    {
                      "lo": {
                        "numerator": 35614047612395184167403087651877835289,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 35614047612395184167403087741582691955,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 132797604735552959038346400936414464555,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 265595209471105918076692802172777905315,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "transformed_observation_error_radii": [
                    {
                      "numerator": 1152603495917921786010760887344474686978814314819143664419653950143,
                      "denominator": 39485102429924822639437705887962576577965064770983432337455036146698377207218176
                    },
                    {
                      "numerator": 18307844058675586005322106206698341482959174912587837673515287705019,
                      "denominator": 78970204859849645278875411775925153155930129541966864674910072293396754414436352
                    }
                  ],
                  "transformed_flow_error_radii": [
                    {
                      "numerator": 48952329737410737809761914545529542384562203325081731449979062947585733,
                      "denominator": 3044175796850895832534184118722269040603787012611444895918585408674466889728
                    },
                    {
                      "numerator": 313120824714982558207951219224312253482238080003409530526291605298639289,
                      "denominator": 6088351593701791665068368237444538081207574025222889791837170817348933779456
                    }
                  ],
                  "raw_transformed_bounds": [
                    {
                      "lo": {
                        "numerator": 17804287825135524259002530535175555623,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 17809759787259659908400557161554707999,
                        "denominator": 170141183460469231731687303715884105728
                      }
                    },
                    {
                      "lo": {
                        "numerator": 265577708922031719859589208982968568409,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 8300397188130628634181137345707445813,
                        "denominator": 10633823966279326983230456482242756608
                      }
                    }
                  ],
                  "prior_transformed_bounds": [
                    {
                      "lo": {
                        "numerator": 5829603865612037165209987207316216491,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 16550288638384032083354480997374461905,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 80837491760506163562973493185747908111,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 42428744379174680903648820235267800471,
                        "denominator": 21267647932558653966460912964485513216
                      }
                    }
                  ],
                  "transformed_coordinate_bounds": [
                    {
                      "lo": {
                        "numerator": 17804287825135524259002530535175555623,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 17809759787259659908400557161554707999,
                        "denominator": 170141183460469231731687303715884105728
                      }
                    },
                    {
                      "lo": {
                        "numerator": 265577708922031719859589208982968568409,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 8300397188130628634181137345707445813,
                        "denominator": 10633823966279326983230456482242756608
                      }
                    }
                  ],
                  "nominal_bulk_angle_outer_bounds": {
                    "lo": {
                      "numerator": 489146058410259307536676445049139233451,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 15286429347481542925895023737743379711,
                      "denominator": 10633823966279326983230456482242756608
                    }
                  },
                  "actual_long_arc_mean_outer_bounds": {
                    "lo": {
                      "numerator": 489146058410259156420948993220492395179,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 15286429347481547648261506607388593407,
                      "denominator": 10633823966279326983230456482242756608
                    }
                  },
                  "readout_gain_outer_bounds": {
                    "lo": {
                      "numerator": 267954268740239484177986758272705960645,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 267990413819195883080679218296139883789,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "source_admitted": true,
                  "finite_response_certified": true,
                  "rank_deficient": false,
                  "rank_certified": true,
                  "whole_window_acute_certified": false,
                  "inverse_enclosure_available": true,
                  "status": "bounded_candidate",
                  "unavailable_reasons": [],
                  "incompatibility_reasons": [],
                  "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
                  "law": "normalized_sine_reciprocal_exchange",
                  "clock": "tau=e*t",
                  "capacity": [
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    }
                  ],
                  "transformed_coordinate_order": [
                    "gain_times_cos_bulk",
                    "gain_times_sin_bulk"
                  ],
                  "scope": [
                    "same_noncritical_affine_source_family_and_full_two_port_sine_law",
                    "two_successive_equal_windows_without_source_or_equilibrium_reset",
                    "cumulative_amplitudes_determine_first_jump_and_second_amplitude_difference",
                    "three_scalar_readings_share_one_held_positive_gain_and_one_held_offset",
                    "shared_middle_observation_error_retained_before_coordinate_projection",
                    "exact_reading_midpoint_differences_cancel_arbitrary_common_offset",
                    "full_original_source_errors_and_both_evolving_rows_enter_uniform_remainder",
                    "positive_gain_prior_is_supplied_information_not_inferred_physical_calibration",
                    "coordinate_box_can_discard_joint_error_correlations_without_claiming_realizability",
                    "bounded_candidate_gives_necessary_marginals_not_existence_or_point_identification",
                    "actual_pre_probe_arc_mean_expands_nominal_angle_by_original_phase_radius_over_eight",
                    "leading_rank_failure_does_not_exclude_a_full_nonlinear_response",
                    "no_target_root_trajectory_producer_hidden_source_or_cached_report_consumed",
                    "whole_window_acuity_is_optional_and_not_an_inverse_admission_gate"
                  ]
                },
                "finite_remainder_over_clock_candidate": {
                  "numerator": 4639535003157425283587,
                  "denominator": 71568229042163271467874910368121749504
                },
                "finite_remainder_over_clock_upper_bound": {
                  "numerator": 4639535003157425283587,
                  "denominator": 71568229042163271467874910368121749504
                },
                "nominal_bulk_angle_outer_bounds": {
                  "lo": {
                    "numerator": 489146058410259307536676445049139233451,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 15286429347481542925895023737743379711,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                "actual_long_arc_mean_outer_bounds": {
                  "lo": {
                    "numerator": 489146058410259156420948993220492395179,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 15286429347481547648261506607388593407,
                    "denominator": 10633823966279326983230456482242756608
                  }
                },
                "effective_gain_outer_bounds": {
                  "lo": {
                    "numerator": 267954268740239484177986758272705960645,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 267990413819195883080679218296139883789,
                    "denominator": 170141183460469231731687303715884105728
                  }
                },
                "readout_gain_outer_bounds": {
                  "lo": {
                    "numerator": 31,
                    "denominator": 16
                  },
                  "hi": {
                    "numerator": 2,
                    "denominator": 1
                  }
                },
                "clock_rate_outer_bounds": {
                  "lo": {
                    "numerator": 267954268740239484177986758272705960645,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 276635265877879621244572096305692783267,
                    "denominator": 340282366920938463463374607431768211456
                  }
                },
                "source_admitted": true,
                "finite_response_certified": true,
                "rank_deficient": false,
                "rank_certified": true,
                "whole_window_acute_certified": false,
                "inverse_enclosure_available": true,
                "status": "bounded_candidate",
                "unavailable_reasons": [],
                "incompatibility_reasons": [],
                "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
                "clock": "tau=rho*s; rho is one held positive rate",
                "effective_gain_relation": "J=G*rho",
                "complete_observed_rows": [
                  "dx/ds=rho*(-A*x+gamma*f(theta))",
                  "dtheta/ds=rho*gamma*A*x"
                ],
                "scope": [
                  "fixed_gamma_and_complete_two_port_law_under_one_unknown_constant_clock_rate",
                  "two_events_at_observed_times_zero_and_H_without_source_reset",
                  "auxiliary_envelope_gain_is_L_equal_G_times_rho_over_rho_upper",
                  "auxiliary_upper_duration_is_not_the_actual_unknown_trajectory_duration",
                  "monotone_finite_remainder_over_clock_rate_retains_full_flow_dependence",
                  "three_reading_errors_remain_in_sensor_units_without_clock_division",
                  "effective_gain_J_is_G_times_rho_not_sensor_gain_alone",
                  "separate_gain_and_clock_bounds_project_one_necessary_product_relation",
                  "coordinate_product_need_not_be_jointly_realizable",
                  "no_exact_full_flow_gain_clock_symmetry_or_separate_point_identification",
                  "original_source_actual_arc_mean_retains_original_phase_radius_over_eight",
                  "no_acquisition_calibration_trajectory_producer_or_physical_identification"
                ]
              },
              "observation_times": [
                {
                  "numerator": 0,
                  "denominator": 1
                },
                {
                  "numerator": 1,
                  "denominator": 33554432
                },
                {
                  "numerator": 1,
                  "denominator": 16777216
                },
                {
                  "numerator": 1,
                  "denominator": 8388608
                }
              ],
              "reading_midpoints": [
                {
                  "numerator": 261755666862260355270666957534738848657,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 261755666860400465350679444477518182307,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 65438916714635143881143283213888927279,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 261755666841081467654312758059403316681,
                  "denominator": 680564733841876926926749214863536422912
                }
              ],
              "reading_radii": [
                {
                  "numerator": 5,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 112089644174500519,
                  "denominator": 232072574240080032082021482268465920212992
                },
                {
                  "numerator": 1,
                  "denominator": 42535295865117307932921825928971026432
                },
                {
                  "numerator": 896717153395981305,
                  "denominator": 232072574240080032082021482268465920212992
                }
              ],
              "curvature_midpoint": {
                "numerator": 93881201435258193159,
                "denominator": 680564733841876926926749214863536422912
              },
              "curvature_observation_radius": {
                "numerator": 224929155279151431,
                "denominator": 232072574240080032082021482268465920212992
              },
              "sensor_corrected_curvature_bounds": {
                "lo": {
                  "numerator": 5867533863685440747,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 46940930525774667183,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "embedded_inverse_reading_coefficients": [
                [
                  {
                    "lo": {
                      "numerator": 18540362045956643852135291317419266613400975079083,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 9270181022978321926067645660714843157499026655537,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 0,
                      "denominator": 1
                    },
                    "hi": {
                      "numerator": 0,
                      "denominator": 1
                    }
                  },
                  {
                    "lo": {
                      "numerator": -10551128443711781049439735296448767753386112894359,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -21102256887423562098879470588662157567061021206741,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 1280947420733459123372089635621445476830023063829,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 640473710366729561686044817866962297943543119411,
                      "denominator": 85070591730234615865843651857942052864
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -47101398075976061409491892021296181590516706511879,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": -23550699037988030704745946005553897533816769575475,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": 0,
                      "denominator": 1
                    },
                    "hi": {
                      "numerator": 0,
                      "denominator": 1
                    }
                  },
                  {
                    "lo": {
                      "numerator": 16872424957559802522357126064038536775938513094979,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 67489699830239210089428504268132816491882824896147,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": -5097075438565787169984153061709158725341529596067,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -10194150877131574339968306122523176018060256614483,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  }
                ]
              ],
              "first_window_sine_norm_candidate": {
                "numerator": 13899637892674951759769111549,
                "denominator": 2779927578534986401345175552
              },
              "initial_curvature_error_candidate": {
                "numerator": 9421831,
                "denominator": 662786383279558754304
              },
              "third_derivative_bound_candidate": {
                "numerator": 727882162916499764311947118381803509998888464858299459116709897,
                "denominator": 111693431477012008439152141089655636231611737613829992124847751168
              },
              "normalized_curvature_error_candidate": {
                "numerator": 727908801385579642623680855779531050201302810552846225220024329,
                "denominator": 936952412835514750088739163961813987337588075041275182578434844229894144
              },
              "normalized_curvature_error_upper_bound": {
                "numerator": 727908801385579642623680855779531050201302810552846225220024329,
                "denominator": 936952412835514750088739163961813987337588075041275182578434844229894144
              },
              "effective_gain_denominator_bounds": [
                {
                  "numerator": 267954268740239484177986758272705960645,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 267990413819195883080679218296139883789,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              "curvature_coefficient_bounds": {
                "lo": {
                  "numerator": 29823309103280185930741861878944751,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 29831486700328736158012024150745005,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "normalized_curvature_observation_bounds": {
                "lo": {
                  "numerator": 8388331278189037596583453270217401,
                  "denominator": 85070591730234615865843651857942052864
                },
                "hi": {
                  "numerator": 16779161387558957662872873433386967,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              "clock_rate_constraint_bounds": {
                "lo": {
                  "numerator": 382733688214540258005107522564483998905,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 382901690149956434060268617616897255969,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "nominal_bulk_angle_outer_bounds": null,
              "actual_long_arc_mean_outer_bounds": null,
              "effective_gain_outer_bounds": null,
              "readout_gain_outer_bounds": null,
              "clock_rate_outer_bounds": null,
              "source_admitted": true,
              "finite_curvature_bound_certified": true,
              "base_inverse_enclosure_available": true,
              "curvature_coefficient_positive": true,
              "curvature_refinement_available": false,
              "inverse_enclosure_available": false,
              "status": "incompatible",
              "unavailable_reasons": [],
              "incompatibility_reasons": [
                "finite_curvature_excludes_the_clock_prior_and_coarse_envelope"
              ],
              "curvature_reading_coefficients": [
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": -2,
                  "denominator": 1
                },
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": 0,
                  "denominator": 1
                }
              ],
              "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
              "clock": "tau=rho*s; rho is one held positive rate",
              "effective_gain_relation": "J=G*rho",
              "scope": [
                "four_readings_on_one_complete_two_pulse_trajectory_at_zero_H_over_two_H_two_H",
                "first_and_second_phase_events_remain_at_zero_and_H_without_reset",
                "finite_second_difference_is_not_a_supplied_derivative_observation",
                "all_four_readings_are_admitted_before_the_three_reading_clock_envelope",
                "exact_midpoint_second_difference_cancels_arbitrary_held_offset",
                "four_reading_error_coefficients_are_retained_before_marginal_relaxation",
                "complete_initial_state_error_and_third_derivative_remainder_are_retained",
                "clock_refinement_uses_positive_factors_and_exact_endpoint_division",
                "necessary_constraint_intersection_does_not_assert_joint_error_or_state_realizability",
                "original_angle_and_actual_pre_probe_arc_mean_remain_the_child_statistics",
                "unavailable_refinement_retains_the_coarse_clock_report_separately",
                "no_clock_grid_shooting_repeated_fit_or_additional_response_evaluation",
                "no_physical_calibration_source_acquisition_or_unique_law_identification"
              ]
            },
            "observation_times": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 33554432
              },
              {
                "numerator": 1,
                "denominator": 16777216
              },
              {
                "numerator": 1,
                "denominator": 8388608
              }
            ],
            "structural_duration_upper_bound": {
              "numerator": 1,
              "denominator": 4194304
            },
            "whole_window_form_norm_candidate": {
              "numerator": 469765117,
              "denominator": 863846703525003264
            },
            "whole_window_form_norm_upper_bound": {
              "numerator": 469765117,
              "denominator": 863846703525003264
            },
            "structural_readout_speed_candidate": {
              "numerator": 109462543139157,
              "denominator": 47991483529166848
            },
            "structural_readout_speed_upper_bound": {
              "numerator": 109462543139157,
              "denominator": 47991483529166848
            },
            "exposure_discrepancy_bounds": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 9444732965739290427392
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1180591620717411303424
              }
            ],
            "recorded_discrepancy_candidates": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 226633373281328156330099103777798750208
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 28329171660166019541262387972224843776
              }
            ],
            "recorded_discrepancy_upper_bounds": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 226633373281328156330099103777798750208
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 28329171660166019541262387972224843776
              }
            ],
            "comparison_reading_bounds": [
              [
                {
                  "numerator": 65438916715565088817666739383684712163,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833431130177635333478767369424331,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 11157335299924569835572697309648690708271,
                  "denominator": 29009071780010004010252685283558240026624
                },
                {
                  "numerator": 44629341199698279342290901328238937333603,
                  "denominator": 116036287120040016041010741134232960106496
                }
              ],
              [
                {
                  "numerator": 65438916714635143881143283213888927275,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 65438916714635143881143283213888927283,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              [
                {
                  "numerator": 22314670598202195117529938445275783751729,
                  "denominator": 58018143560020008020505370567116480053248
                },
                {
                  "numerator": 44629341196404390235060773607704963484763,
                  "denominator": 116036287120040016041010741134232960106496
                }
              ]
            ],
            "nominal_bulk_angle_outer_bounds": null,
            "actual_long_arc_mean_outer_bounds": null,
            "effective_gain_outer_bounds": null,
            "readout_gain_outer_bounds": null,
            "first_window_mean_clock_rate_outer_bounds": null,
            "source_admitted": true,
            "clock_drift_transfer_certified": true,
            "finite_curvature_bound_certified": true,
            "rank_deficient": false,
            "rank_certified": true,
            "inverse_enclosure_available": false,
            "status": "incompatible",
            "unavailable_reasons": [],
            "incompatibility_reasons": [
              "finite_curvature_excludes_the_clock_prior_and_coarse_envelope"
            ],
            "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
            "clock": "tau(s)=integral_0^s rho(u) du; positive C1 rho with supplied bounds",
            "inferred_clock_statistic": "rho_bar_1=(1/H)*integral_0^H rho(s) ds",
            "effective_gain_relation": "J=G*rho_bar_1",
            "complete_observed_rows": [
              "dx/ds=rho(s)*(-A*x+gamma*f(theta))",
              "dtheta/ds=rho(s)*gamma*A*x"
            ],
            "scope": [
              "global_positive_clock_rate_and_C1_derivative_bounds_are_supplied_premises",
              "fixed_complete_two_port_law_and_both_rows_share_one_clock_exposure",
              "four_point_readings_at_zero_H_over_two_H_two_H_are_not_exposure_averages",
              "original_source_and_phase_events_at_zero_and_H_are_preserved",
              "constant_first_window_mean_reference_agrees_exactly_at_zero_and_H",
              "second_event_starts_from_the_same_complete_state_in_both_histories",
              "only_half_time_and_final_reading_bands_receive_clock_comparison_allowances",
              "original_sensor_error_gain_and_offset_premises_remain_unchanged",
              "reference_envelope_is_a_constraint_on_a_comparison_history_not_actual_constant_clock_flow",
              "reference_status_and_reasons_apply_to_the_widened_necessary_constraints",
              "effective_gain_uses_first_window_mean_rate_not_pointwise_clock_rate",
              "original_actual_arc_mean_retains_the_original_phase_radius_over_eight",
              "marginal_intersections_do_not_certify_joint_state_error_or_clock_profile_realizability",
              "no_profile_fit_clock_grid_response_producer_or_cached_report_input",
              "no_physical_clock_calibration_acquisition_or_unique_law_identification"
            ]
          }
        },
        "false_clock": {
          "schema": "tnfr.sine-clock-drift-inference.v1",
          "report": {
            "bulk_angle_bounds": [
              {
                "numerator": 11,
                "denominator": 8
              },
              {
                "numerator": 3,
                "denominator": 2
              }
            ],
            "receiver_short_angle_bounds": [
              {
                "numerator": 2,
                "denominator": 3
              },
              {
                "numerator": 1,
                "denominator": 1
              }
            ],
            "form_radius": {
              "numerator": 1,
              "denominator": 281474976710656
            },
            "phase_radius": {
              "numerator": 1,
              "denominator": 281474976710656
            },
            "phase_increments": [
              {
                "numerator": 1,
                "denominator": 4
              },
              {
                "numerator": 3,
                "denominator": 4
              }
            ],
            "probe_duration": {
              "numerator": 1,
              "denominator": 16777216
            },
            "recorded_reading_bounds": [
              [
                {
                  "numerator": 65438916715565088817666739383684712163,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833431130177635333478767369424331,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 32719458357550058168834930559689772787,
                  "denominator": 85070591730234615865843651857942052864
                },
                {
                  "numerator": 130877833430200232675339722238759091159,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 65438916714635143881143283213888927275,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 65438916714635143881143283213888927283,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              [
                {
                  "numerator": 65438916710270366913578189514850829165,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833420540733827156379029701658351,
                  "denominator": 340282366920938463463374607431768211456
                }
              ]
            ],
            "readout_error_bound": {
              "numerator": 1,
              "denominator": 1237940039285380274899124224
            },
            "readout_gain_bounds": [
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 2,
                "denominator": 1
              }
            ],
            "clock_rate_bounds": [
              {
                "numerator": 25,
                "denominator": 32
              },
              {
                "numerator": 13,
                "denominator": 16
              }
            ],
            "clock_rate_derivative_bound": {
              "numerator": 1,
              "denominator": 4194304
            },
            "reference_envelope": {
              "bulk_angle_bounds": [
                {
                  "numerator": 11,
                  "denominator": 8
                },
                {
                  "numerator": 3,
                  "denominator": 2
                }
              ],
              "receiver_short_angle_bounds": [
                {
                  "numerator": 2,
                  "denominator": 3
                },
                {
                  "numerator": 1,
                  "denominator": 1
                }
              ],
              "form_radius": {
                "numerator": 1,
                "denominator": 281474976710656
              },
              "phase_radius": {
                "numerator": 1,
                "denominator": 281474976710656
              },
              "phase_increments": [
                {
                  "numerator": 1,
                  "denominator": 4
                },
                {
                  "numerator": 3,
                  "denominator": 4
                }
              ],
              "probe_duration": {
                "numerator": 1,
                "denominator": 16777216
              },
              "recorded_reading_bounds": [
                [
                  {
                    "numerator": 65438916715565088817666739383684712163,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  {
                    "numerator": 130877833431130177635333478767369424331,
                    "denominator": 340282366920938463463374607431768211456
                  }
                ],
                [
                  {
                    "numerator": 9128728881756466229104934162443083480917,
                    "denominator": 23734695092735457826570378868365832749056
                  },
                  {
                    "numerator": 36514915527025864916419828359455238939985,
                    "denominator": 94938780370941831306281515473463330996224
                  }
                ],
                [
                  {
                    "numerator": 65438916714635143881143283213888927275,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  {
                    "numerator": 65438916714635143881143283213888927283,
                    "denominator": 170141183460469231731687303715884105728
                  }
                ],
                [
                  {
                    "numerator": 18257457762165432368888131455277571310539,
                    "denominator": 47469390185470915653140757736731665498112
                  },
                  {
                    "numerator": 36514915524330864737776996588018382732921,
                    "denominator": 94938780370941831306281515473463330996224
                  }
                ]
              ],
              "readout_error_bound": {
                "numerator": 1,
                "denominator": 1237940039285380274899124224
              },
              "readout_gain_bounds": [
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": 2,
                  "denominator": 1
                }
              ],
              "clock_rate_bounds": [
                {
                  "numerator": 25,
                  "denominator": 32
                },
                {
                  "numerator": 13,
                  "denominator": 16
                }
              ],
              "clock_envelope": {
                "bulk_angle_bounds": [
                  {
                    "numerator": 11,
                    "denominator": 8
                  },
                  {
                    "numerator": 3,
                    "denominator": 2
                  }
                ],
                "receiver_short_angle_bounds": [
                  {
                    "numerator": 2,
                    "denominator": 3
                  },
                  {
                    "numerator": 1,
                    "denominator": 1
                  }
                ],
                "form_radius": {
                  "numerator": 1,
                  "denominator": 281474976710656
                },
                "phase_radius": {
                  "numerator": 1,
                  "denominator": 281474976710656
                },
                "phase_increments": [
                  {
                    "numerator": 1,
                    "denominator": 4
                  },
                  {
                    "numerator": 3,
                    "denominator": 4
                  }
                ],
                "probe_duration": {
                  "numerator": 1,
                  "denominator": 16777216
                },
                "recorded_reading_bounds": [
                  [
                    {
                      "numerator": 65438916715565088817666739383684712163,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 130877833431130177635333478767369424331,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  [
                    {
                      "numerator": 65438916714635143881143283213888927275,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 65438916714635143881143283213888927283,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  ],
                  [
                    {
                      "numerator": 18257457762165432368888131455277571310539,
                      "denominator": 47469390185470915653140757736731665498112
                    },
                    {
                      "numerator": 36514915524330864737776996588018382732921,
                      "denominator": 94938780370941831306281515473463330996224
                    }
                  ]
                ],
                "readout_error_bound": {
                  "numerator": 1,
                  "denominator": 1237940039285380274899124224
                },
                "readout_gain_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 1
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "clock_rate_bounds": [
                  {
                    "numerator": 25,
                    "denominator": 32
                  },
                  {
                    "numerator": 13,
                    "denominator": 16
                  }
                ],
                "structural_probe_duration_bounds": [
                  {
                    "numerator": 25,
                    "denominator": 536870912
                  },
                  {
                    "numerator": 13,
                    "denominator": 268435456
                  }
                ],
                "auxiliary_gain_prior_bounds": [
                  {
                    "numerator": 25,
                    "denominator": 26
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "effective_gain_prior_bounds": [
                  {
                    "numerator": 25,
                    "denominator": 32
                  },
                  {
                    "numerator": 13,
                    "denominator": 8
                  }
                ],
                "constraint_envelope": {
                  "bulk_angle_bounds": [
                    {
                      "numerator": 11,
                      "denominator": 8
                    },
                    {
                      "numerator": 3,
                      "denominator": 2
                    }
                  ],
                  "receiver_short_angle_bounds": [
                    {
                      "numerator": 2,
                      "denominator": 3
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    }
                  ],
                  "form_radius": {
                    "numerator": 1,
                    "denominator": 281474976710656
                  },
                  "phase_radius": {
                    "numerator": 1,
                    "denominator": 281474976710656
                  },
                  "phase_increments": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 3,
                      "denominator": 4
                    }
                  ],
                  "probe_duration": {
                    "numerator": 13,
                    "denominator": 268435456
                  },
                  "recorded_reading_bounds": [
                    [
                      {
                        "numerator": 65438916715565088817666739383684712163,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      {
                        "numerator": 130877833431130177635333478767369424331,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    ],
                    [
                      {
                        "numerator": 65438916714635143881143283213888927275,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      {
                        "numerator": 65438916714635143881143283213888927283,
                        "denominator": 170141183460469231731687303715884105728
                      }
                    ],
                    [
                      {
                        "numerator": 18257457762165432368888131455277571310539,
                        "denominator": 47469390185470915653140757736731665498112
                      },
                      {
                        "numerator": 36514915524330864737776996588018382732921,
                        "denominator": 94938780370941831306281515473463330996224
                      }
                    ]
                  ],
                  "readout_error_bound": {
                    "numerator": 1,
                    "denominator": 1237940039285380274899124224
                  },
                  "readout_gain_bounds": [
                    {
                      "numerator": 25,
                      "denominator": 26
                    },
                    {
                      "numerator": 2,
                      "denominator": 1
                    }
                  ],
                  "reference_model": {
                    "storage_scale": 1.0,
                    "epi_weight": 0.9990234375,
                    "phase_weight": 0.0009765625,
                    "phase_domain": "regular"
                  },
                  "geometry": {
                    "nodes": [
                      0,
                      1,
                      2,
                      3,
                      4,
                      5,
                      6,
                      7,
                      8,
                      9,
                      10,
                      11,
                      12,
                      13,
                      14,
                      15,
                      16,
                      17
                    ],
                    "edges": [
                      [
                        0,
                        1
                      ],
                      [
                        0,
                        8
                      ],
                      [
                        0,
                        9
                      ],
                      [
                        1,
                        2
                      ],
                      [
                        1,
                        10
                      ],
                      [
                        2,
                        3
                      ],
                      [
                        3,
                        4
                      ],
                      [
                        4,
                        5
                      ],
                      [
                        5,
                        6
                      ],
                      [
                        6,
                        7
                      ],
                      [
                        7,
                        8
                      ],
                      [
                        9,
                        10
                      ],
                      [
                        9,
                        17
                      ],
                      [
                        10,
                        11
                      ],
                      [
                        11,
                        12
                      ],
                      [
                        12,
                        13
                      ],
                      [
                        13,
                        14
                      ],
                      [
                        14,
                        15
                      ],
                      [
                        15,
                        16
                      ],
                      [
                        16,
                        17
                      ]
                    ],
                    "incidence": [
                      [
                        -1,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        1,
                        0,
                        0,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1
                      ]
                    ],
                    "tree_edge_indices": [
                      0,
                      1,
                      2,
                      3,
                      4,
                      10,
                      12,
                      5,
                      13,
                      9,
                      19,
                      6,
                      14,
                      8,
                      18,
                      15,
                      17
                    ],
                    "fundamental_cycles": [
                      [
                        4,
                        5,
                        6,
                        7,
                        8,
                        0,
                        1,
                        2,
                        3
                      ],
                      [
                        9,
                        10,
                        1,
                        0
                      ],
                      [
                        13,
                        14,
                        15,
                        16,
                        17,
                        9,
                        0,
                        1,
                        10,
                        11,
                        12
                      ]
                    ],
                    "cycle_rows": [
                      [
                        1,
                        -1,
                        0,
                        1,
                        0,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        -1,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        1,
                        0,
                        -1,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        -1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1
                      ]
                    ],
                    "bridge_edge_indices": [],
                    "cycle_rank": 3,
                    "short_cycle_span_rank": 1,
                    "scope": [
                      "connected_simple_undirected_phase_support_without_self_loops",
                      "node_order_and_cycle_basis_are_coordinates_not_physical_selectors",
                      "all_support_edges_retained_independently_of_transport_weights",
                      "integer_fundamental_cycles_and_exact_rational_short_cycle_rank",
                      "32_node_50_edge_evaluation_budget_is_not_a_physical_restriction",
                      "no_graph_write_live_phase_admission_or_trajectory_claim"
                    ]
                  },
                  "degrees": [
                    3,
                    3,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    3,
                    3,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2
                  ],
                  "nodal_angle_affine_coefficients": [
                    [
                      {
                        "numerator": -61,
                        "denominator": 20
                      },
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -4,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -3,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -21,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": -21,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": -4,
                        "denominator": 5
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": -11,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 4
                      }
                    ],
                    [
                      {
                        "numerator": -3,
                        "denominator": 10
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 5
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 9,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 4
                      }
                    ],
                    [
                      {
                        "numerator": 7,
                        "denominator": 10
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -3,
                        "denominator": 8
                      }
                    ]
                  ],
                  "edge_angle_affine_coefficients": [
                    [
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": -8,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -4,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -2,
                        "denominator": 1
                      },
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ]
                  ],
                  "edge_integer_offsets": [
                    0,
                    2,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    1,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0
                  ],
                  "named_cycle_periods": [
                    {
                      "numerator": 2,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "laplacian": [
                    [
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_laplacian": [
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_upper_slack_matrix": [
                    [
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_sine_symbol_coefficients": [
                    [
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ]
                  ],
                  "readout_forcing_moments": [
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ]
                  ],
                  "dipole": [
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": -1,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "nominal_edge_angle_bounds": [
                    {
                      "lo": {
                        "numerator": 12045370825537839367389137716641537233,
                        "denominator": 21267647932558653966460912964485513216
                      },
                      "hi": {
                        "numerator": 133252075032385973335400202724508201797,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    },
                    {
                      "lo": {
                        "numerator": -3,
                        "denominator": 2
                      },
                      "hi": {
                        "numerator": -11,
                        "denominator": 8
                      }
                    },
                    {
                      "lo": {
                        "numerator": -9222277107020814599071775247843975983,
                        "denominator": 42535295865117307932921825928971026432
                      },
                      "hi": {
                        "numerator": 153076694424459125516342202971760333109,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": -153076694424459125516342202971760333109,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 9222277107020814599071775247843975983,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 113427455640312821154458202477256070485,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 1,
                        "denominator": 1
                      }
                    },
                    {
                      "lo": {
                        "numerator": -238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": -224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "nominal_acute_margin": {
                    "numerator": 752995951469740294119687841451292231,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "source_acute_margin": {
                    "numerator": 752995951469135831209880526863939143,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "total_duration": {
                    "numerator": 13,
                    "denominator": 134217728
                  },
                  "actual_phase_jumps": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 1,
                      "denominator": 2
                    }
                  ],
                  "whole_window_form_norm_candidate": {
                    "numerator": 39305657092738685913,
                    "denominator": 177915365026239129689677365248
                  },
                  "whole_window_phase_norm_candidate": {
                    "numerator": 266873047539359326619348016089,
                    "denominator": 177915365026239129689677365248
                  },
                  "whole_window_acute_margin_candidate": {
                    "numerator": -10793716095085058921368643274465907674442698781821008573027551,
                    "denominator": 7217104616490770104691307641889817338142354302270589093543936
                  },
                  "finite_remainder_candidate": {
                    "numerator": 784088904623049083728891,
                    "denominator": 36642933269587594992290543039992213536768
                  },
                  "finite_remainder_upper_bound": {
                    "numerator": 784088904623049083728891,
                    "denominator": 36642933269587594992290543039992213536768
                  },
                  "gamma_bounds": {
                    "lo": {
                      "numerator": 3308750045361523034179564622145679,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": 105880001451568737093746067908661729,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "response_scale_bounds": [
                    {
                      "lo": {
                        "numerator": 3756226352206662949804149335,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 3756226352206662949804149337,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 9253004373966926061949849465,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 9253004373966926061949849467,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "response_matrix_bounds": [
                    [
                      {
                        "lo": {
                          "numerator": 3726919024244783113416255285,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 465864878030597889177031911,
                          "denominator": 42535295865117307932921825928971026432
                        }
                      },
                      {
                        "lo": {
                          "numerator": 29269157437245754044104317,
                          "denominator": 21267647932558653966460912964485513216
                        },
                        "hi": {
                          "numerator": 468306518995932064705669073,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": 4304995547782103414513248733,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 8609991095564206829026497469,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 3389121313697126232819099779,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 3389121313697126232819099781,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ]
                  ],
                  "determinant_angle_factor_bounds": {
                    "lo": {
                      "numerator": 21046801210185120193770697126998656397,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": 84187204840740480775082788507994625591,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "determinant_bounds": {
                    "lo": {
                      "numerator": 25269795254890521,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 12634897627445261,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  "inverse_matrix_bounds": [
                    [
                      {
                        "lo": {
                          "numerator": 45637814266970200251409947853326908955477086641443,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 45637814266970200251409947877626730101952172084059,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": -6306202686687798761216441284145612774638988966165,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": -3153101343343899380608220641391276104295543873145,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": -28985475739062191636610395096057050517845870453133,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": -115941902956248766546441580322495019832916839395035,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 50186588933570827519843968600987595332673204949607,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 25093294466785413759921984305917613209307468113617,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      }
                    ]
                  ],
                  "inverse_row_sum_upper_bounds": [
                    {
                      "numerator": 3246501059603624938289149322610771429786947565639,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    {
                      "numerator": 83064245944909797033142774498031714244999209019883,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  ],
                  "reading_midpoints": [
                    {
                      "numerator": 261755666862260355270666957534738848657,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": 65438916714635143881143283213888927279,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 261755666841081467654312758059403316681,
                      "denominator": 680564733841876926926749214863536422912
                    }
                  ],
                  "reading_radii": [
                    {
                      "numerator": 5,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": 1,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    {
                      "numerator": 733677463240111843,
                      "denominator": 189877560741883662612563030946926661992448
                    }
                  ],
                  "recorded_increment_midpoints": [
                    {
                      "numerator": -3719779746093824679183139541,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": -17459107870260374796152392435,
                      "denominator": 680564733841876926926749214863536422912
                    }
                  ],
                  "transformed_reading_coefficients": [
                    [
                      {
                        "lo": {
                          "numerator": 45637814266970200251409947853326908955477086641443,
                          "denominator": 340282366920938463463374607431768211456
                        },
                        "hi": {
                          "numerator": 45637814266970200251409947877626730101952172084059,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": -3246501059603624938289149322610771429786947565639,
                          "denominator": 21267647932558653966460912964485513216
                        },
                        "hi": {
                          "numerator": -51944016953657999012626389136109461164068174387733,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 3153101343343899380608220641391276104295543873145,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 6306202686687798761216441284145612774638988966165,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": -28985475739062191636610395096057050517845870453133,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": -115941902956248766546441580322495019832916839395035,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 83064245944909797033142774461741307582795022172321,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 83064245944909797033142774498031714244999209019883,
                          "denominator": 170141183460469231731687303715884105728
                        }
                      },
                      {
                        "lo": {
                          "numerator": -25093294466785413759921984305917613209307468113617,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": -50186588933570827519843968600987595332673204949607,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ]
                  ],
                  "transformed_centers": [
                    {
                      "lo": {
                        "numerator": 10958168496121595128431719272421177581,
                        "denominator": 42535295865117307932921825928971026432
                      },
                      "hi": {
                        "numerator": 87665347968972761027453754499803065025,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 163443205828372872662580185720812299565,
                        "denominator": 85070591730234615865843651857942052864
                      },
                      "hi": {
                        "numerator": 653772823313491490650320743987157098039,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "transformed_observation_error_radii": [
                    {
                      "numerator": 36270729148236304695639571672210976750431545446573673727819038619,
                      "denominator": 504781139018925289424629762772248848297848839401776833859510405284496299524096
                    },
                    {
                      "numerator": 2048429525313302751835947259071078503703301127020630438201133428105,
                      "denominator": 3589554766356802058130700535269325143451369524634857485223185104245307018838016
                    }
                  ],
                  "transformed_flow_error_radii": [
                    {
                      "numerator": 848515153227391487600372997523584682724463104801931978008433085701058783,
                      "denominator": 129884833998971555524076530625870450442641794574225864742962283011591160987648
                    },
                    {
                      "numerator": 65129753616283869461186668581927810107961532193176604421547150379000539753,
                      "denominator": 3117236015975317332577836735020890810623403069781420753831094792278187863703552
                    }
                  ],
                  "raw_transformed_bounds": [
                    {
                      "lo": {
                        "numerator": 87663124963106759993669320433808776627,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 43833785487419381030619094122681854523,
                        "denominator": 170141183460469231731687303715884105728
                      }
                    },
                    {
                      "lo": {
                        "numerator": 163441428411840303922528664902926068863,
                        "denominator": 85070591730234615865843651857942052864
                      },
                      "hi": {
                        "numerator": 653779932979621765610526827258702020847,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "prior_transformed_bounds": [
                    {
                      "lo": {
                        "numerator": 23144829243124713311007393378922943885,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 16550288638384032083354480997374461905,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 320942895327071617123467963020339089275,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 42428744379174680903648820235267800471,
                        "denominator": 21267647932558653966460912964485513216
                      }
                    }
                  ],
                  "transformed_coordinate_bounds": [
                    {
                      "lo": {
                        "numerator": 87663124963106759993669320433808776627,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 43833785487419381030619094122681854523,
                        "denominator": 170141183460469231731687303715884105728
                      }
                    },
                    {
                      "lo": {
                        "numerator": 163441428411840303922528664902926068863,
                        "denominator": 85070591730234615865843651857942052864
                      },
                      "hi": {
                        "numerator": 653779932979621765610526827258702020847,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "nominal_bulk_angle_outer_bounds": {
                    "lo": {
                      "numerator": 489154275300031770469402279155931582759,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 61144690427109362098765770089713341011,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  "actual_long_arc_mean_outer_bounds": {
                    "lo": {
                      "numerator": 489154275300031619353674827327284744487,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 61144690427109380988231701568294195795,
                      "denominator": 42535295865117307932921825928971026432
                    }
                  },
                  "readout_gain_outer_bounds": {
                    "lo": {
                      "numerator": 659616882606214661832041087143609753645,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 659631566685120914056706141868568422015,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "source_admitted": true,
                  "finite_response_certified": true,
                  "rank_deficient": false,
                  "rank_certified": true,
                  "whole_window_acute_certified": false,
                  "inverse_enclosure_available": true,
                  "status": "bounded_candidate",
                  "unavailable_reasons": [],
                  "incompatibility_reasons": [],
                  "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
                  "law": "normalized_sine_reciprocal_exchange",
                  "clock": "tau=e*t",
                  "capacity": [
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    }
                  ],
                  "transformed_coordinate_order": [
                    "gain_times_cos_bulk",
                    "gain_times_sin_bulk"
                  ],
                  "scope": [
                    "same_noncritical_affine_source_family_and_full_two_port_sine_law",
                    "two_successive_equal_windows_without_source_or_equilibrium_reset",
                    "cumulative_amplitudes_determine_first_jump_and_second_amplitude_difference",
                    "three_scalar_readings_share_one_held_positive_gain_and_one_held_offset",
                    "shared_middle_observation_error_retained_before_coordinate_projection",
                    "exact_reading_midpoint_differences_cancel_arbitrary_common_offset",
                    "full_original_source_errors_and_both_evolving_rows_enter_uniform_remainder",
                    "positive_gain_prior_is_supplied_information_not_inferred_physical_calibration",
                    "coordinate_box_can_discard_joint_error_correlations_without_claiming_realizability",
                    "bounded_candidate_gives_necessary_marginals_not_existence_or_point_identification",
                    "actual_pre_probe_arc_mean_expands_nominal_angle_by_original_phase_radius_over_eight",
                    "leading_rank_failure_does_not_exclude_a_full_nonlinear_response",
                    "no_target_root_trajectory_producer_hidden_source_or_cached_report_consumed",
                    "whole_window_acuity_is_optional_and_not_an_inverse_admission_gate"
                  ]
                },
                "finite_remainder_over_clock_candidate": {
                  "numerator": 60314531124849929517607,
                  "denominator": 2290183329349224687018158939999513346048
                },
                "finite_remainder_over_clock_upper_bound": {
                  "numerator": 60314531124849929517607,
                  "denominator": 2290183329349224687018158939999513346048
                },
                "nominal_bulk_angle_outer_bounds": {
                  "lo": {
                    "numerator": 489154275300031770469402279155931582759,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 61144690427109362098765770089713341011,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                "actual_long_arc_mean_outer_bounds": {
                  "lo": {
                    "numerator": 489154275300031619353674827327284744487,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 61144690427109380988231701568294195795,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                "effective_gain_outer_bounds": {
                  "lo": {
                    "numerator": 133984679279387353184633345826045731209,
                    "denominator": 85070591730234615865843651857942052864
                  },
                  "hi": {
                    "numerator": 66993830991457592833884217533526480361,
                    "denominator": 42535295865117307932921825928971026432
                  }
                },
                "readout_gain_outer_bounds": {
                  "lo": {
                    "numerator": 659616882606214661832041087143609753645,
                    "denominator": 340282366920938463463374607431768211456
                  },
                  "hi": {
                    "numerator": 2,
                    "denominator": 1
                  }
                },
                "clock_rate_outer_bounds": {
                  "lo": {
                    "numerator": 133984679279387353184633345826045731209,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "hi": {
                    "numerator": 13,
                    "denominator": 16
                  }
                },
                "source_admitted": true,
                "finite_response_certified": true,
                "rank_deficient": false,
                "rank_certified": true,
                "whole_window_acute_certified": false,
                "inverse_enclosure_available": true,
                "status": "bounded_candidate",
                "unavailable_reasons": [],
                "incompatibility_reasons": [],
                "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
                "clock": "tau=rho*s; rho is one held positive rate",
                "effective_gain_relation": "J=G*rho",
                "complete_observed_rows": [
                  "dx/ds=rho*(-A*x+gamma*f(theta))",
                  "dtheta/ds=rho*gamma*A*x"
                ],
                "scope": [
                  "fixed_gamma_and_complete_two_port_law_under_one_unknown_constant_clock_rate",
                  "two_events_at_observed_times_zero_and_H_without_source_reset",
                  "auxiliary_envelope_gain_is_L_equal_G_times_rho_over_rho_upper",
                  "auxiliary_upper_duration_is_not_the_actual_unknown_trajectory_duration",
                  "monotone_finite_remainder_over_clock_rate_retains_full_flow_dependence",
                  "three_reading_errors_remain_in_sensor_units_without_clock_division",
                  "effective_gain_J_is_G_times_rho_not_sensor_gain_alone",
                  "separate_gain_and_clock_bounds_project_one_necessary_product_relation",
                  "coordinate_product_need_not_be_jointly_realizable",
                  "no_exact_full_flow_gain_clock_symmetry_or_separate_point_identification",
                  "original_source_actual_arc_mean_retains_original_phase_radius_over_eight",
                  "no_acquisition_calibration_trajectory_producer_or_physical_identification"
                ]
              },
              "observation_times": [
                {
                  "numerator": 0,
                  "denominator": 1
                },
                {
                  "numerator": 1,
                  "denominator": 33554432
                },
                {
                  "numerator": 1,
                  "denominator": 16777216
                },
                {
                  "numerator": 1,
                  "denominator": 8388608
                }
              ],
              "reading_midpoints": [
                {
                  "numerator": 261755666862260355270666957534738848657,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 261755666860400465350679444477518182307,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 65438916714635143881143283213888927279,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 261755666841081467654312758059403316681,
                  "denominator": 680564733841876926926749214863536422912
                }
              ],
              "reading_radii": [
                {
                  "numerator": 5,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 91709682905016317,
                  "denominator": 189877560741883662612563030946926661992448
                },
                {
                  "numerator": 1,
                  "denominator": 42535295865117307932921825928971026432
                },
                {
                  "numerator": 733677463240111843,
                  "denominator": 189877560741883662612563030946926661992448
                }
              ],
              "curvature_midpoint": {
                "numerator": 93881201435258193159,
                "denominator": 680564733841876926926749214863536422912
              },
              "curvature_observation_radius": {
                "numerator": 184032893298337501,
                "denominator": 189877560741883662612563030946926661992448
              },
              "sensor_corrected_curvature_bounds": {
                "lo": {
                  "numerator": 23470135454788295299,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 46940930525681602561,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "embedded_inverse_reading_coefficients": [
                [
                  {
                    "lo": {
                      "numerator": 45637814266970200251409947853326908955477086641443,
                      "denominator": 340282366920938463463374607431768211456
                    },
                    "hi": {
                      "numerator": 45637814266970200251409947877626730101952172084059,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 0,
                      "denominator": 1
                    },
                    "hi": {
                      "numerator": 0,
                      "denominator": 1
                    }
                  },
                  {
                    "lo": {
                      "numerator": -3246501059603624938289149322610771429786947565639,
                      "denominator": 21267647932558653966460912964485513216
                    },
                    "hi": {
                      "numerator": -51944016953657999012626389136109461164068174387733,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 3153101343343899380608220641391276104295543873145,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 6306202686687798761216441284145612774638988966165,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ],
                [
                  {
                    "lo": {
                      "numerator": -28985475739062191636610395096057050517845870453133,
                      "denominator": 85070591730234615865843651857942052864
                    },
                    "hi": {
                      "numerator": -115941902956248766546441580322495019832916839395035,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  {
                    "lo": {
                      "numerator": 0,
                      "denominator": 1
                    },
                    "hi": {
                      "numerator": 0,
                      "denominator": 1
                    }
                  },
                  {
                    "lo": {
                      "numerator": 83064245944909797033142774461741307582795022172321,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": 83064245944909797033142774498031714244999209019883,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  },
                  {
                    "lo": {
                      "numerator": -25093294466785413759921984305917613209307468113617,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    "hi": {
                      "numerator": -50186588933570827519843968600987595332673204949607,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  }
                ]
              ],
              "first_window_sine_norm_candidate": {
                "numerator": 444788412565598456309025381337,
                "denominator": 88957682513119564844838682624
              },
              "initial_curvature_error_candidate": {
                "numerator": 9421831,
                "denominator": 662786383279558754304
              },
              "third_derivative_bound_candidate": {
                "numerator": 745351039391091342117917939661206914037062736163405394140691725809,
                "denominator": 114374073832460296646302527340470511775445672618541247126818302984192
              },
              "normalized_curvature_error_candidate": {
                "numerator": 125975673218706959700674173645932794258882512607354441983395129140249,
                "denominator": 982465813241412714628655668498933410655844119442714679273477151702647689969664
              },
              "normalized_curvature_error_upper_bound": {
                "numerator": 125975673218706959700674173645932794258882512607354441983395129140249,
                "denominator": 982465813241412714628655668498933410655844119442714679273477151702647689969664
              },
              "effective_gain_denominator_bounds": [
                {
                  "numerator": 133984679279387353184633345826045731209,
                  "denominator": 85070591730234615865843651857942052864
                },
                {
                  "numerator": 66993830991457592833884217533526480361,
                  "denominator": 42535295865117307932921825928971026432
                }
              ],
              "curvature_coefficient_bounds": {
                "lo": {
                  "numerator": 29826722864623839560104993070206223,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 14914036250239138802082039291850767,
                  "denominator": 170141183460469231731687303715884105728
                }
              },
              "normalized_curvature_observation_bounds": {
                "lo": {
                  "numerator": 33555214520953186593007008623566483,
                  "denominator": 340282366920938463463374607431768211456
                },
                "hi": {
                  "numerator": 4194554130974245333701456732508857,
                  "denominator": 42535295865117307932921825928971026432
                }
              },
              "clock_rate_constraint_bounds": {
                "lo": {
                  "numerator": 191400784818137265028212652397512496131,
                  "denominator": 170141183460469231731687303715884105728
                },
                "hi": {
                  "numerator": 382833788414369652055665277659436812573,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "nominal_bulk_angle_outer_bounds": null,
              "actual_long_arc_mean_outer_bounds": null,
              "effective_gain_outer_bounds": null,
              "readout_gain_outer_bounds": null,
              "clock_rate_outer_bounds": null,
              "source_admitted": true,
              "finite_curvature_bound_certified": true,
              "base_inverse_enclosure_available": true,
              "curvature_coefficient_positive": true,
              "curvature_refinement_available": false,
              "inverse_enclosure_available": false,
              "status": "incompatible",
              "unavailable_reasons": [],
              "incompatibility_reasons": [
                "finite_curvature_excludes_the_clock_prior_and_coarse_envelope"
              ],
              "curvature_reading_coefficients": [
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": -2,
                  "denominator": 1
                },
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": 0,
                  "denominator": 1
                }
              ],
              "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
              "clock": "tau=rho*s; rho is one held positive rate",
              "effective_gain_relation": "J=G*rho",
              "scope": [
                "four_readings_on_one_complete_two_pulse_trajectory_at_zero_H_over_two_H_two_H",
                "first_and_second_phase_events_remain_at_zero_and_H_without_reset",
                "finite_second_difference_is_not_a_supplied_derivative_observation",
                "all_four_readings_are_admitted_before_the_three_reading_clock_envelope",
                "exact_midpoint_second_difference_cancels_arbitrary_held_offset",
                "four_reading_error_coefficients_are_retained_before_marginal_relaxation",
                "complete_initial_state_error_and_third_derivative_remainder_are_retained",
                "clock_refinement_uses_positive_factors_and_exact_endpoint_division",
                "necessary_constraint_intersection_does_not_assert_joint_error_or_state_realizability",
                "original_angle_and_actual_pre_probe_arc_mean_remain_the_child_statistics",
                "unavailable_refinement_retains_the_coarse_clock_report_separately",
                "no_clock_grid_shooting_repeated_fit_or_additional_response_evaluation",
                "no_physical_calibration_source_acquisition_or_unique_law_identification"
              ]
            },
            "observation_times": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 33554432
              },
              {
                "numerator": 1,
                "denominator": 16777216
              },
              {
                "numerator": 1,
                "denominator": 8388608
              }
            ],
            "structural_duration_upper_bound": {
              "numerator": 13,
              "denominator": 134217728
            },
            "whole_window_form_norm_candidate": {
              "numerator": 190843901,
              "denominator": 863846703525003264
            },
            "whole_window_form_norm_upper_bound": {
              "numerator": 190843901,
              "denominator": 863846703525003264
            },
            "structural_readout_speed_candidate": {
              "numerator": 89560237211927,
              "denominator": 39265759251136512
            },
            "structural_readout_speed_upper_bound": {
              "numerator": 89560237211927,
              "denominator": 39265759251136512
            },
            "exposure_discrepancy_bounds": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 9444732965739290427392
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1180591620717411303424
              }
            ],
            "recorded_discrepancy_candidates": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 89560237211927,
                "denominator": 185427305411995764270081084909108068352
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 89560237211927,
                "denominator": 23178413176499470533760135613638508544
              }
            ],
            "recorded_discrepancy_upper_bounds": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 89560237211927,
                "denominator": 185427305411995764270081084909108068352
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 89560237211927,
                "denominator": 23178413176499470533760135613638508544
              }
            ],
            "comparison_reading_bounds": [
              [
                {
                  "numerator": 65438916715565088817666739383684712163,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833431130177635333478767369424331,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 9128728881756466229104934162443083480917,
                  "denominator": 23734695092735457826570378868365832749056
                },
                {
                  "numerator": 36514915527025864916419828359455238939985,
                  "denominator": 94938780370941831306281515473463330996224
                }
              ],
              [
                {
                  "numerator": 65438916714635143881143283213888927275,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 65438916714635143881143283213888927283,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              [
                {
                  "numerator": 18257457762165432368888131455277571310539,
                  "denominator": 47469390185470915653140757736731665498112
                },
                {
                  "numerator": 36514915524330864737776996588018382732921,
                  "denominator": 94938780370941831306281515473463330996224
                }
              ]
            ],
            "nominal_bulk_angle_outer_bounds": null,
            "actual_long_arc_mean_outer_bounds": null,
            "effective_gain_outer_bounds": null,
            "readout_gain_outer_bounds": null,
            "first_window_mean_clock_rate_outer_bounds": null,
            "source_admitted": true,
            "clock_drift_transfer_certified": true,
            "finite_curvature_bound_certified": true,
            "rank_deficient": false,
            "rank_certified": true,
            "inverse_enclosure_available": false,
            "status": "incompatible",
            "unavailable_reasons": [],
            "incompatibility_reasons": [
              "finite_curvature_excludes_the_clock_prior_and_coarse_envelope"
            ],
            "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
            "clock": "tau(s)=integral_0^s rho(u) du; positive C1 rho with supplied bounds",
            "inferred_clock_statistic": "rho_bar_1=(1/H)*integral_0^H rho(s) ds",
            "effective_gain_relation": "J=G*rho_bar_1",
            "complete_observed_rows": [
              "dx/ds=rho(s)*(-A*x+gamma*f(theta))",
              "dtheta/ds=rho(s)*gamma*A*x"
            ],
            "scope": [
              "global_positive_clock_rate_and_C1_derivative_bounds_are_supplied_premises",
              "fixed_complete_two_port_law_and_both_rows_share_one_clock_exposure",
              "four_point_readings_at_zero_H_over_two_H_two_H_are_not_exposure_averages",
              "original_source_and_phase_events_at_zero_and_H_are_preserved",
              "constant_first_window_mean_reference_agrees_exactly_at_zero_and_H",
              "second_event_starts_from_the_same_complete_state_in_both_histories",
              "only_half_time_and_final_reading_bands_receive_clock_comparison_allowances",
              "original_sensor_error_gain_and_offset_premises_remain_unchanged",
              "reference_envelope_is_a_constraint_on_a_comparison_history_not_actual_constant_clock_flow",
              "reference_status_and_reasons_apply_to_the_widened_necessary_constraints",
              "effective_gain_uses_first_window_mean_rate_not_pointwise_clock_rate",
              "original_actual_arc_mean_retains_the_original_phase_radius_over_eight",
              "marginal_intersections_do_not_certify_joint_state_error_or_clock_profile_realizability",
              "no_profile_fit_clock_grid_response_producer_or_cached_report_input",
              "no_physical_clock_calibration_acquisition_or_unique_law_identification"
            ]
          }
        },
        "equal_inputs": {
          "schema": "tnfr.sine-clock-drift-inference.v1",
          "report": {
            "bulk_angle_bounds": [
              {
                "numerator": 11,
                "denominator": 8
              },
              {
                "numerator": 3,
                "denominator": 2
              }
            ],
            "receiver_short_angle_bounds": [
              {
                "numerator": 2,
                "denominator": 3
              },
              {
                "numerator": 1,
                "denominator": 1
              }
            ],
            "form_radius": {
              "numerator": 1,
              "denominator": 281474976710656
            },
            "phase_radius": {
              "numerator": 1,
              "denominator": 281474976710656
            },
            "phase_increments": [
              {
                "numerator": 1,
                "denominator": 4
              },
              {
                "numerator": 1,
                "denominator": 4
              }
            ],
            "probe_duration": {
              "numerator": 1,
              "denominator": 16777216
            },
            "recorded_reading_bounds": [
              [
                {
                  "numerator": 65438916715565088817666739383684712163,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833431130177635333478767369424331,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 32719458357550058168834930559689772787,
                  "denominator": 85070591730234615865843651857942052864
                },
                {
                  "numerator": 130877833430200232675339722238759091159,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 65438916714635143881143283213888927275,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 65438916714635143881143283213888927283,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              [
                {
                  "numerator": 65438916710270366913578189514850829165,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833420540733827156379029701658351,
                  "denominator": 340282366920938463463374607431768211456
                }
              ]
            ],
            "readout_error_bound": {
              "numerator": 1,
              "denominator": 1237940039285380274899124224
            },
            "readout_gain_bounds": [
              {
                "numerator": 1,
                "denominator": 1
              },
              {
                "numerator": 2,
                "denominator": 1
              }
            ],
            "clock_rate_bounds": [
              {
                "numerator": 1,
                "denominator": 2
              },
              {
                "numerator": 2,
                "denominator": 1
              }
            ],
            "clock_rate_derivative_bound": {
              "numerator": 1,
              "denominator": 4194304
            },
            "reference_envelope": {
              "bulk_angle_bounds": [
                {
                  "numerator": 11,
                  "denominator": 8
                },
                {
                  "numerator": 3,
                  "denominator": 2
                }
              ],
              "receiver_short_angle_bounds": [
                {
                  "numerator": 2,
                  "denominator": 3
                },
                {
                  "numerator": 1,
                  "denominator": 1
                }
              ],
              "form_radius": {
                "numerator": 1,
                "denominator": 281474976710656
              },
              "phase_radius": {
                "numerator": 1,
                "denominator": 281474976710656
              },
              "phase_increments": [
                {
                  "numerator": 1,
                  "denominator": 4
                },
                {
                  "numerator": 1,
                  "denominator": 4
                }
              ],
              "probe_duration": {
                "numerator": 1,
                "denominator": 16777216
              },
              "recorded_reading_bounds": [
                [
                  {
                    "numerator": 65438916715565088817666739383684712163,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  {
                    "numerator": 130877833431130177635333478767369424331,
                    "denominator": 340282366920938463463374607431768211456
                  }
                ],
                [
                  {
                    "numerator": 11157335299924569835572697309648690708271,
                    "denominator": 29009071780010004010252685283558240026624
                  },
                  {
                    "numerator": 44629341199698279342290901328238937333603,
                    "denominator": 116036287120040016041010741134232960106496
                  }
                ],
                [
                  {
                    "numerator": 65438916714635143881143283213888927275,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  {
                    "numerator": 65438916714635143881143283213888927283,
                    "denominator": 170141183460469231731687303715884105728
                  }
                ],
                [
                  {
                    "numerator": 22314670598202195117529938445275783751729,
                    "denominator": 58018143560020008020505370567116480053248
                  },
                  {
                    "numerator": 44629341196404390235060773607704963484763,
                    "denominator": 116036287120040016041010741134232960106496
                  }
                ]
              ],
              "readout_error_bound": {
                "numerator": 1,
                "denominator": 1237940039285380274899124224
              },
              "readout_gain_bounds": [
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": 2,
                  "denominator": 1
                }
              ],
              "clock_rate_bounds": [
                {
                  "numerator": 1,
                  "denominator": 2
                },
                {
                  "numerator": 2,
                  "denominator": 1
                }
              ],
              "clock_envelope": {
                "bulk_angle_bounds": [
                  {
                    "numerator": 11,
                    "denominator": 8
                  },
                  {
                    "numerator": 3,
                    "denominator": 2
                  }
                ],
                "receiver_short_angle_bounds": [
                  {
                    "numerator": 2,
                    "denominator": 3
                  },
                  {
                    "numerator": 1,
                    "denominator": 1
                  }
                ],
                "form_radius": {
                  "numerator": 1,
                  "denominator": 281474976710656
                },
                "phase_radius": {
                  "numerator": 1,
                  "denominator": 281474976710656
                },
                "phase_increments": [
                  {
                    "numerator": 1,
                    "denominator": 4
                  },
                  {
                    "numerator": 1,
                    "denominator": 4
                  }
                ],
                "probe_duration": {
                  "numerator": 1,
                  "denominator": 16777216
                },
                "recorded_reading_bounds": [
                  [
                    {
                      "numerator": 65438916715565088817666739383684712163,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 130877833431130177635333478767369424331,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  ],
                  [
                    {
                      "numerator": 65438916714635143881143283213888927275,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 65438916714635143881143283213888927283,
                      "denominator": 170141183460469231731687303715884105728
                    }
                  ],
                  [
                    {
                      "numerator": 22314670598202195117529938445275783751729,
                      "denominator": 58018143560020008020505370567116480053248
                    },
                    {
                      "numerator": 44629341196404390235060773607704963484763,
                      "denominator": 116036287120040016041010741134232960106496
                    }
                  ]
                ],
                "readout_error_bound": {
                  "numerator": 1,
                  "denominator": 1237940039285380274899124224
                },
                "readout_gain_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 1
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "clock_rate_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 2
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "structural_probe_duration_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 33554432
                  },
                  {
                    "numerator": 1,
                    "denominator": 8388608
                  }
                ],
                "auxiliary_gain_prior_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 4
                  },
                  {
                    "numerator": 2,
                    "denominator": 1
                  }
                ],
                "effective_gain_prior_bounds": [
                  {
                    "numerator": 1,
                    "denominator": 2
                  },
                  {
                    "numerator": 4,
                    "denominator": 1
                  }
                ],
                "constraint_envelope": {
                  "bulk_angle_bounds": [
                    {
                      "numerator": 11,
                      "denominator": 8
                    },
                    {
                      "numerator": 3,
                      "denominator": 2
                    }
                  ],
                  "receiver_short_angle_bounds": [
                    {
                      "numerator": 2,
                      "denominator": 3
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    }
                  ],
                  "form_radius": {
                    "numerator": 1,
                    "denominator": 281474976710656
                  },
                  "phase_radius": {
                    "numerator": 1,
                    "denominator": 281474976710656
                  },
                  "phase_increments": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 1,
                      "denominator": 4
                    }
                  ],
                  "probe_duration": {
                    "numerator": 1,
                    "denominator": 8388608
                  },
                  "recorded_reading_bounds": [
                    [
                      {
                        "numerator": 65438916715565088817666739383684712163,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      {
                        "numerator": 130877833431130177635333478767369424331,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    ],
                    [
                      {
                        "numerator": 65438916714635143881143283213888927275,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      {
                        "numerator": 65438916714635143881143283213888927283,
                        "denominator": 170141183460469231731687303715884105728
                      }
                    ],
                    [
                      {
                        "numerator": 22314670598202195117529938445275783751729,
                        "denominator": 58018143560020008020505370567116480053248
                      },
                      {
                        "numerator": 44629341196404390235060773607704963484763,
                        "denominator": 116036287120040016041010741134232960106496
                      }
                    ]
                  ],
                  "readout_error_bound": {
                    "numerator": 1,
                    "denominator": 1237940039285380274899124224
                  },
                  "readout_gain_bounds": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 2,
                      "denominator": 1
                    }
                  ],
                  "reference_model": {
                    "storage_scale": 1.0,
                    "epi_weight": 0.9990234375,
                    "phase_weight": 0.0009765625,
                    "phase_domain": "regular"
                  },
                  "geometry": {
                    "nodes": [
                      0,
                      1,
                      2,
                      3,
                      4,
                      5,
                      6,
                      7,
                      8,
                      9,
                      10,
                      11,
                      12,
                      13,
                      14,
                      15,
                      16,
                      17
                    ],
                    "edges": [
                      [
                        0,
                        1
                      ],
                      [
                        0,
                        8
                      ],
                      [
                        0,
                        9
                      ],
                      [
                        1,
                        2
                      ],
                      [
                        1,
                        10
                      ],
                      [
                        2,
                        3
                      ],
                      [
                        3,
                        4
                      ],
                      [
                        4,
                        5
                      ],
                      [
                        5,
                        6
                      ],
                      [
                        6,
                        7
                      ],
                      [
                        7,
                        8
                      ],
                      [
                        9,
                        10
                      ],
                      [
                        9,
                        17
                      ],
                      [
                        10,
                        11
                      ],
                      [
                        11,
                        12
                      ],
                      [
                        12,
                        13
                      ],
                      [
                        13,
                        14
                      ],
                      [
                        14,
                        15
                      ],
                      [
                        15,
                        16
                      ],
                      [
                        16,
                        17
                      ]
                    ],
                    "incidence": [
                      [
                        -1,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        1,
                        0,
                        0,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        -1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1,
                        0
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        -1
                      ],
                      [
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1
                      ]
                    ],
                    "tree_edge_indices": [
                      0,
                      1,
                      2,
                      3,
                      4,
                      10,
                      12,
                      5,
                      13,
                      9,
                      19,
                      6,
                      14,
                      8,
                      18,
                      15,
                      17
                    ],
                    "fundamental_cycles": [
                      [
                        4,
                        5,
                        6,
                        7,
                        8,
                        0,
                        1,
                        2,
                        3
                      ],
                      [
                        9,
                        10,
                        1,
                        0
                      ],
                      [
                        13,
                        14,
                        15,
                        16,
                        17,
                        9,
                        0,
                        1,
                        10,
                        11,
                        12
                      ]
                    ],
                    "cycle_rows": [
                      [
                        1,
                        -1,
                        0,
                        1,
                        0,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        -1,
                        0,
                        1,
                        0,
                        -1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      [
                        1,
                        0,
                        -1,
                        0,
                        1,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        0,
                        -1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1,
                        1
                      ]
                    ],
                    "bridge_edge_indices": [],
                    "cycle_rank": 3,
                    "short_cycle_span_rank": 1,
                    "scope": [
                      "connected_simple_undirected_phase_support_without_self_loops",
                      "node_order_and_cycle_basis_are_coordinates_not_physical_selectors",
                      "all_support_edges_retained_independently_of_transport_weights",
                      "integer_fundamental_cycles_and_exact_rational_short_cycle_rank",
                      "32_node_50_edge_evaluation_budget_is_not_a_physical_restriction",
                      "no_graph_write_live_phase_admission_or_trajectory_claim"
                    ]
                  },
                  "degrees": [
                    3,
                    3,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    3,
                    3,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2,
                    2
                  ],
                  "nodal_angle_affine_coefficients": [
                    [
                      {
                        "numerator": -61,
                        "denominator": 20
                      },
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -4,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -3,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 19,
                        "denominator": 20
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -21,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": -21,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": -4,
                        "denominator": 5
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": -11,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 4
                      }
                    ],
                    [
                      {
                        "numerator": -3,
                        "denominator": 10
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 5
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 9,
                        "denominator": 20
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 4
                      }
                    ],
                    [
                      {
                        "numerator": 7,
                        "denominator": 10
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -3,
                        "denominator": 8
                      }
                    ]
                  ],
                  "edge_angle_affine_coefficients": [
                    [
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": -8,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -4,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -2,
                        "denominator": 1
                      },
                      {
                        "numerator": 4,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 4
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 8
                      }
                    ]
                  ],
                  "edge_integer_offsets": [
                    0,
                    2,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    1,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0,
                    0
                  ],
                  "named_cycle_periods": [
                    {
                      "numerator": 2,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "laplacian": [
                    [
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_laplacian": [
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 2
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_upper_slack_matrix": [
                    [
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 3,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 1
                      },
                      {
                        "numerator": 2,
                        "denominator": 1
                      }
                    ]
                  ],
                  "normalized_sine_symbol_coefficients": [
                    [
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": -1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      },
                      {
                        "numerator": 1,
                        "denominator": 3
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ]
                  ],
                  "readout_forcing_moments": [
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ],
                    [
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      },
                      {
                        "numerator": 0,
                        "denominator": 1
                      }
                    ]
                  ],
                  "dipole": [
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": -1,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "nominal_edge_angle_bounds": [
                    {
                      "lo": {
                        "numerator": 12045370825537839367389137716641537233,
                        "denominator": 21267647932558653966460912964485513216
                      },
                      "hi": {
                        "numerator": 133252075032385973335400202724508201797,
                        "denominator": 85070591730234615865843651857942052864
                      }
                    },
                    {
                      "lo": {
                        "numerator": -3,
                        "denominator": 2
                      },
                      "hi": {
                        "numerator": -11,
                        "denominator": 8
                      }
                    },
                    {
                      "lo": {
                        "numerator": -9222277107020814599071775247843975983,
                        "denominator": 42535295865117307932921825928971026432
                      },
                      "hi": {
                        "numerator": 153076694424459125516342202971760333109,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": -153076694424459125516342202971760333109,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 9222277107020814599071775247843975983,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 11,
                        "denominator": 8
                      },
                      "hi": {
                        "numerator": 3,
                        "denominator": 2
                      }
                    },
                    {
                      "lo": {
                        "numerator": 113427455640312821154458202477256070485,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 1,
                        "denominator": 1
                      }
                    },
                    {
                      "lo": {
                        "numerator": -238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": -224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 224721850151124379031998267361496669393,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 238900282106163481676305542671153678205,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "nominal_acute_margin": {
                    "numerator": 752995951469740294119687841451292231,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "source_acute_margin": {
                    "numerator": 752995951469135831209880526863939143,
                    "denominator": 170141183460469231731687303715884105728
                  },
                  "total_duration": {
                    "numerator": 1,
                    "denominator": 4194304
                  },
                  "actual_phase_jumps": [
                    {
                      "numerator": 1,
                      "denominator": 4
                    },
                    {
                      "numerator": 0,
                      "denominator": 1
                    }
                  ],
                  "whole_window_form_norm_candidate": {
                    "numerator": 2159636511385979901,
                    "denominator": 5559855157069972802690351104
                  },
                  "whole_window_phase_norm_candidate": {
                    "numerator": 2779927578535006154254191613,
                    "denominator": 5559855157069972802690351104
                  },
                  "whole_window_acute_margin_candidate": {
                    "numerator": -3492784647064735172793134153517922702554155399665407440455,
                    "denominator": 7047953727041767680220543876983511860363048493743660335104
                  },
                  "finite_remainder_candidate": {
                    "numerator": 3313962236598240666115,
                    "denominator": 35784114521081635733937455184060874752
                  },
                  "finite_remainder_upper_bound": {
                    "numerator": 3313962236598240666115,
                    "denominator": 35784114521081635733937455184060874752
                  },
                  "gamma_bounds": {
                    "lo": {
                      "numerator": 3308750045361523034179564622145679,
                      "denominator": 10633823966279326983230456482242756608
                    },
                    "hi": {
                      "numerator": 105880001451568737093746067908661729,
                      "denominator": 340282366920938463463374607431768211456
                    }
                  },
                  "response_scale_bounds": [
                    {
                      "lo": {
                        "numerator": 9246095636201016491825598365,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 9246095636201016491825598367,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    },
                    {
                      "lo": {
                        "numerator": 9246095636201016491825598365,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 9246095636201016491825598367,
                        "denominator": 340282366920938463463374607431768211456
                      }
                    }
                  ],
                  "response_matrix_bounds": [
                    [
                      {
                        "lo": {
                          "numerator": 4586977260608963831896929583,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 9173954521217927663793859169,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 288188627074419732126565583,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": 1152754508297678928506262333,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ],
                    [
                      {
                        "lo": {
                          "numerator": 4586977260608963831896929583,
                          "denominator": 170141183460469231731687303715884105728
                        },
                        "hi": {
                          "numerator": 9173954521217927663793859169,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      },
                      {
                        "lo": {
                          "numerator": 288188627074419732126565583,
                          "denominator": 85070591730234615865843651857942052864
                        },
                        "hi": {
                          "numerator": 1152754508297678928506262333,
                          "denominator": 340282366920938463463374607431768211456
                        }
                      }
                    ]
                  ],
                  "determinant_angle_factor_bounds": {
                    "lo": {
                      "numerator": 0,
                      "denominator": 1
                    },
                    "hi": {
                      "numerator": 0,
                      "denominator": 1
                    }
                  },
                  "determinant_bounds": {
                    "lo": {
                      "numerator": 0,
                      "denominator": 1
                    },
                    "hi": {
                      "numerator": 0,
                      "denominator": 1
                    }
                  },
                  "inverse_matrix_bounds": null,
                  "inverse_row_sum_upper_bounds": null,
                  "reading_midpoints": [
                    {
                      "numerator": 261755666862260355270666957534738848657,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": 65438916714635143881143283213888927279,
                      "denominator": 170141183460469231731687303715884105728
                    },
                    {
                      "numerator": 261755666841081467654312758059403316681,
                      "denominator": 680564733841876926926749214863536422912
                    }
                  ],
                  "reading_radii": [
                    {
                      "numerator": 5,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": 1,
                      "denominator": 42535295865117307932921825928971026432
                    },
                    {
                      "numerator": 896717153395981305,
                      "denominator": 232072574240080032082021482268465920212992
                    }
                  ],
                  "recorded_increment_midpoints": [
                    {
                      "numerator": -3719779746093824679183139541,
                      "denominator": 680564733841876926926749214863536422912
                    },
                    {
                      "numerator": -17459107870260374796152392435,
                      "denominator": 680564733841876926926749214863536422912
                    }
                  ],
                  "transformed_reading_coefficients": null,
                  "transformed_centers": null,
                  "transformed_observation_error_radii": null,
                  "transformed_flow_error_radii": null,
                  "raw_transformed_bounds": null,
                  "prior_transformed_bounds": [
                    {
                      "lo": {
                        "numerator": 3008827801606212730430961139259982705,
                        "denominator": 170141183460469231731687303715884105728
                      },
                      "hi": {
                        "numerator": 16550288638384032083354480997374461905,
                        "denominator": 42535295865117307932921825928971026432
                      }
                    },
                    {
                      "lo": {
                        "numerator": 83445152785038620452101670385288163211,
                        "denominator": 340282366920938463463374607431768211456
                      },
                      "hi": {
                        "numerator": 42428744379174680903648820235267800471,
                        "denominator": 21267647932558653966460912964485513216
                      }
                    }
                  ],
                  "transformed_coordinate_bounds": null,
                  "nominal_bulk_angle_outer_bounds": null,
                  "actual_long_arc_mean_outer_bounds": null,
                  "readout_gain_outer_bounds": null,
                  "source_admitted": true,
                  "finite_response_certified": true,
                  "rank_deficient": true,
                  "rank_certified": false,
                  "whole_window_acute_certified": false,
                  "inverse_enclosure_available": false,
                  "status": "unavailable",
                  "unavailable_reasons": [
                    "equal_cumulative_amplitudes_leave_the_leading_response_rank_deficient"
                  ],
                  "incompatibility_reasons": [],
                  "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
                  "law": "normalized_sine_reciprocal_exchange",
                  "clock": "tau=e*t",
                  "capacity": [
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    },
                    {
                      "numerator": 1,
                      "denominator": 1
                    }
                  ],
                  "transformed_coordinate_order": [
                    "gain_times_cos_bulk",
                    "gain_times_sin_bulk"
                  ],
                  "scope": [
                    "same_noncritical_affine_source_family_and_full_two_port_sine_law",
                    "two_successive_equal_windows_without_source_or_equilibrium_reset",
                    "cumulative_amplitudes_determine_first_jump_and_second_amplitude_difference",
                    "three_scalar_readings_share_one_held_positive_gain_and_one_held_offset",
                    "shared_middle_observation_error_retained_before_coordinate_projection",
                    "exact_reading_midpoint_differences_cancel_arbitrary_common_offset",
                    "full_original_source_errors_and_both_evolving_rows_enter_uniform_remainder",
                    "positive_gain_prior_is_supplied_information_not_inferred_physical_calibration",
                    "coordinate_box_can_discard_joint_error_correlations_without_claiming_realizability",
                    "bounded_candidate_gives_necessary_marginals_not_existence_or_point_identification",
                    "actual_pre_probe_arc_mean_expands_nominal_angle_by_original_phase_radius_over_eight",
                    "leading_rank_failure_does_not_exclude_a_full_nonlinear_response",
                    "no_target_root_trajectory_producer_hidden_source_or_cached_report_consumed",
                    "whole_window_acuity_is_optional_and_not_an_inverse_admission_gate"
                  ]
                },
                "finite_remainder_over_clock_candidate": {
                  "numerator": 3313962236598240666115,
                  "denominator": 71568229042163271467874910368121749504
                },
                "finite_remainder_over_clock_upper_bound": {
                  "numerator": 3313962236598240666115,
                  "denominator": 71568229042163271467874910368121749504
                },
                "nominal_bulk_angle_outer_bounds": null,
                "actual_long_arc_mean_outer_bounds": null,
                "effective_gain_outer_bounds": null,
                "readout_gain_outer_bounds": null,
                "clock_rate_outer_bounds": null,
                "source_admitted": true,
                "finite_response_certified": true,
                "rank_deficient": true,
                "rank_certified": false,
                "whole_window_acute_certified": false,
                "inverse_enclosure_available": false,
                "status": "unavailable",
                "unavailable_reasons": [
                  "equal_cumulative_amplitudes_leave_the_leading_response_rank_deficient"
                ],
                "incompatibility_reasons": [],
                "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
                "clock": "tau=rho*s; rho is one held positive rate",
                "effective_gain_relation": "J=G*rho",
                "complete_observed_rows": [
                  "dx/ds=rho*(-A*x+gamma*f(theta))",
                  "dtheta/ds=rho*gamma*A*x"
                ],
                "scope": [
                  "fixed_gamma_and_complete_two_port_law_under_one_unknown_constant_clock_rate",
                  "two_events_at_observed_times_zero_and_H_without_source_reset",
                  "auxiliary_envelope_gain_is_L_equal_G_times_rho_over_rho_upper",
                  "auxiliary_upper_duration_is_not_the_actual_unknown_trajectory_duration",
                  "monotone_finite_remainder_over_clock_rate_retains_full_flow_dependence",
                  "three_reading_errors_remain_in_sensor_units_without_clock_division",
                  "effective_gain_J_is_G_times_rho_not_sensor_gain_alone",
                  "separate_gain_and_clock_bounds_project_one_necessary_product_relation",
                  "coordinate_product_need_not_be_jointly_realizable",
                  "no_exact_full_flow_gain_clock_symmetry_or_separate_point_identification",
                  "original_source_actual_arc_mean_retains_original_phase_radius_over_eight",
                  "no_acquisition_calibration_trajectory_producer_or_physical_identification"
                ]
              },
              "observation_times": [
                {
                  "numerator": 0,
                  "denominator": 1
                },
                {
                  "numerator": 1,
                  "denominator": 33554432
                },
                {
                  "numerator": 1,
                  "denominator": 16777216
                },
                {
                  "numerator": 1,
                  "denominator": 8388608
                }
              ],
              "reading_midpoints": [
                {
                  "numerator": 261755666862260355270666957534738848657,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 261755666860400465350679444477518182307,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 65438916714635143881143283213888927279,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 261755666841081467654312758059403316681,
                  "denominator": 680564733841876926926749214863536422912
                }
              ],
              "reading_radii": [
                {
                  "numerator": 5,
                  "denominator": 680564733841876926926749214863536422912
                },
                {
                  "numerator": 112089644174500519,
                  "denominator": 232072574240080032082021482268465920212992
                },
                {
                  "numerator": 1,
                  "denominator": 42535295865117307932921825928971026432
                },
                {
                  "numerator": 896717153395981305,
                  "denominator": 232072574240080032082021482268465920212992
                }
              ],
              "curvature_midpoint": {
                "numerator": 93881201435258193159,
                "denominator": 680564733841876926926749214863536422912
              },
              "curvature_observation_radius": {
                "numerator": 224929155279151431,
                "denominator": 232072574240080032082021482268465920212992
              },
              "sensor_corrected_curvature_bounds": {
                "lo": {
                  "numerator": 5867533863685440747,
                  "denominator": 42535295865117307932921825928971026432
                },
                "hi": {
                  "numerator": 46940930525774667183,
                  "denominator": 340282366920938463463374607431768211456
                }
              },
              "embedded_inverse_reading_coefficients": null,
              "first_window_sine_norm_candidate": {
                "numerator": 13899637892674951759634893821,
                "denominator": 2779927578534986401345175552
              },
              "initial_curvature_error_candidate": {
                "numerator": 9421831,
                "denominator": 662786383279558754304
              },
              "third_derivative_bound_candidate": {
                "numerator": 237172376697319282121272846358382816290712107564166434262013,
                "denominator": 36394079985992834291023832222110015064063778955304656932175872
              },
              "normalized_curvature_error_candidate": {
                "numerator": 79060352183463968191801901039600782382818486348319056462847,
                "denominator": 101765223507713125892118949056349949748841976218233429192835325755392
              },
              "normalized_curvature_error_upper_bound": {
                "numerator": 79060352183463968191801901039600782382818486348319056462847,
                "denominator": 101765223507713125892118949056349949748841976218233429192835325755392
              },
              "effective_gain_denominator_bounds": null,
              "curvature_coefficient_bounds": null,
              "normalized_curvature_observation_bounds": null,
              "clock_rate_constraint_bounds": null,
              "nominal_bulk_angle_outer_bounds": null,
              "actual_long_arc_mean_outer_bounds": null,
              "effective_gain_outer_bounds": null,
              "readout_gain_outer_bounds": null,
              "clock_rate_outer_bounds": null,
              "source_admitted": true,
              "finite_curvature_bound_certified": true,
              "base_inverse_enclosure_available": false,
              "curvature_coefficient_positive": false,
              "curvature_refinement_available": false,
              "inverse_enclosure_available": false,
              "status": "unavailable",
              "unavailable_reasons": [
                "equal_cumulative_amplitudes_leave_the_leading_response_rank_deficient"
              ],
              "incompatibility_reasons": [],
              "curvature_reading_coefficients": [
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": -2,
                  "denominator": 1
                },
                {
                  "numerator": 1,
                  "denominator": 1
                },
                {
                  "numerator": 0,
                  "denominator": 1
                }
              ],
              "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
              "clock": "tau=rho*s; rho is one held positive rate",
              "effective_gain_relation": "J=G*rho",
              "scope": [
                "four_readings_on_one_complete_two_pulse_trajectory_at_zero_H_over_two_H_two_H",
                "first_and_second_phase_events_remain_at_zero_and_H_without_reset",
                "finite_second_difference_is_not_a_supplied_derivative_observation",
                "all_four_readings_are_admitted_before_the_three_reading_clock_envelope",
                "exact_midpoint_second_difference_cancels_arbitrary_held_offset",
                "four_reading_error_coefficients_are_retained_before_marginal_relaxation",
                "complete_initial_state_error_and_third_derivative_remainder_are_retained",
                "clock_refinement_uses_positive_factors_and_exact_endpoint_division",
                "necessary_constraint_intersection_does_not_assert_joint_error_or_state_realizability",
                "original_angle_and_actual_pre_probe_arc_mean_remain_the_child_statistics",
                "unavailable_refinement_retains_the_coarse_clock_report_separately",
                "no_clock_grid_shooting_repeated_fit_or_additional_response_evaluation",
                "no_physical_calibration_source_acquisition_or_unique_law_identification"
              ]
            },
            "observation_times": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 33554432
              },
              {
                "numerator": 1,
                "denominator": 16777216
              },
              {
                "numerator": 1,
                "denominator": 8388608
              }
            ],
            "structural_duration_upper_bound": {
              "numerator": 1,
              "denominator": 4194304
            },
            "whole_window_form_norm_candidate": {
              "numerator": 469765117,
              "denominator": 863846703525003264
            },
            "whole_window_form_norm_upper_bound": {
              "numerator": 469765117,
              "denominator": 863846703525003264
            },
            "structural_readout_speed_candidate": {
              "numerator": 109462543139157,
              "denominator": 47991483529166848
            },
            "structural_readout_speed_upper_bound": {
              "numerator": 109462543139157,
              "denominator": 47991483529166848
            },
            "exposure_discrepancy_bounds": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 9444732965739290427392
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 1,
                "denominator": 1180591620717411303424
              }
            ],
            "recorded_discrepancy_candidates": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 226633373281328156330099103777798750208
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 28329171660166019541262387972224843776
              }
            ],
            "recorded_discrepancy_upper_bounds": [
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 226633373281328156330099103777798750208
              },
              {
                "numerator": 0,
                "denominator": 1
              },
              {
                "numerator": 109462543139157,
                "denominator": 28329171660166019541262387972224843776
              }
            ],
            "comparison_reading_bounds": [
              [
                {
                  "numerator": 65438916715565088817666739383684712163,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 130877833431130177635333478767369424331,
                  "denominator": 340282366920938463463374607431768211456
                }
              ],
              [
                {
                  "numerator": 11157335299924569835572697309648690708271,
                  "denominator": 29009071780010004010252685283558240026624
                },
                {
                  "numerator": 44629341199698279342290901328238937333603,
                  "denominator": 116036287120040016041010741134232960106496
                }
              ],
              [
                {
                  "numerator": 65438916714635143881143283213888927275,
                  "denominator": 170141183460469231731687303715884105728
                },
                {
                  "numerator": 65438916714635143881143283213888927283,
                  "denominator": 170141183460469231731687303715884105728
                }
              ],
              [
                {
                  "numerator": 22314670598202195117529938445275783751729,
                  "denominator": 58018143560020008020505370567116480053248
                },
                {
                  "numerator": 44629341196404390235060773607704963484763,
                  "denominator": 116036287120040016041010741134232960106496
                }
              ]
            ],
            "nominal_bulk_angle_outer_bounds": null,
            "actual_long_arc_mean_outer_bounds": null,
            "effective_gain_outer_bounds": null,
            "readout_gain_outer_bounds": null,
            "first_window_mean_clock_rate_outer_bounds": null,
            "source_admitted": true,
            "clock_drift_transfer_certified": true,
            "finite_curvature_bound_certified": true,
            "rank_deficient": true,
            "rank_certified": false,
            "inverse_enclosure_available": false,
            "status": "unavailable",
            "unavailable_reasons": [
              "equal_cumulative_amplitudes_leave_the_leading_response_rank_deficient"
            ],
            "incompatibility_reasons": [],
            "arithmetic_method": "rational_outward_dyadic128_machin_trigonometry_v1",
            "clock": "tau(s)=integral_0^s rho(u) du; positive C1 rho with supplied bounds",
            "inferred_clock_statistic": "rho_bar_1=(1/H)*integral_0^H rho(s) ds",
            "effective_gain_relation": "J=G*rho_bar_1",
            "complete_observed_rows": [
              "dx/ds=rho(s)*(-A*x+gamma*f(theta))",
              "dtheta/ds=rho(s)*gamma*A*x"
            ],
            "scope": [
              "global_positive_clock_rate_and_C1_derivative_bounds_are_supplied_premises",
              "fixed_complete_two_port_law_and_both_rows_share_one_clock_exposure",
              "four_point_readings_at_zero_H_over_two_H_two_H_are_not_exposure_averages",
              "original_source_and_phase_events_at_zero_and_H_are_preserved",
              "constant_first_window_mean_reference_agrees_exactly_at_zero_and_H",
              "second_event_starts_from_the_same_complete_state_in_both_histories",
              "only_half_time_and_final_reading_bands_receive_clock_comparison_allowances",
              "original_sensor_error_gain_and_offset_premises_remain_unchanged",
              "reference_envelope_is_a_constraint_on_a_comparison_history_not_actual_constant_clock_flow",
              "reference_status_and_reasons_apply_to_the_widened_necessary_constraints",
              "effective_gain_uses_first_window_mean_rate_not_pointwise_clock_rate",
              "original_actual_arc_mean_retains_the_original_phase_radius_over_eight",
              "marginal_intersections_do_not_certify_joint_state_error_or_clock_profile_realizability",
              "no_profile_fit_clock_grid_response_producer_or_cached_report_input",
              "no_physical_clock_calibration_acquisition_or_unique_law_identification"
            ]
          }
        }
      },
      "phase_blind_recorded_bound": {
        "numerator": 1048577,
        "denominator": 618970019642690137449562112
      },
      "reference_comparison": {
        "reference_history_id": "constant-mean-reference",
        "recorded_difference_bounds": [
          {
            "lo": {
              "numerator": -5,
              "denominator": 340282366920938463463374607431768211456
            },
            "hi": {
              "numerator": 5,
              "denominator": 340282366920938463463374607431768211456
            }
          },
          {
            "lo": {
              "numerator": -1468368042909,
              "denominator": 340282366920938463463374607431768211456
            },
            "hi": {
              "numerator": -1468368042887,
              "denominator": 340282366920938463463374607431768211456
            }
          },
          {
            "lo": {
              "numerator": -9,
              "denominator": 170141183460469231731687303715884105728
            },
            "hi": {
              "numerator": 7,
              "denominator": 170141183460469231731687303715884105728
            }
          },
          {
            "lo": {
              "numerator": 3445956024359,
              "denominator": 21267647932558653966460912964485513216
            },
            "hi": {
              "numerator": 55135296389787,
              "denominator": 340282366920938463463374607431768211456
            }
          }
        ],
        "reconstructed_recorded_discrepancy_bounds": [
          {
            "numerator": 0,
            "denominator": 1
          },
          {
            "numerator": 109462543139157,
            "denominator": 226633373281328156330099103777798750208
          },
          {
            "numerator": 0,
            "denominator": 1
          },
          {
            "numerator": 109462543139157,
            "denominator": 28329171660166019541262387972224843776
          }
        ],
        "scope": "Same source, gain, offset and four sensor errors; interval overlap at H is consistency with separately proved exact exposure equality"
      }
    }
  ],
  "source_audit": {
    "full_form_norm_squared_upper": {
      "numerator": 13415155920544309608204656415346860419029405,
      "denominator": 7237005577332262213973186563042994240829374041602535252466099000494570602496
    },
    "full_phase_norm_squared_upper": {
      "numerator": 575451510699999035902080169190309151339013,
      "denominator": 7237005577332262213973186563042994240829374041602535252466099000494570602496
    },
    "actual_pre_probe_arc_mean": {
      "numerator": 53034389211914960891,
      "denominator": 36893488147419103232
    },
    "admitted": true,
    "initial_form_bounds": [
      [
        {
          "numerator": 92804281887528670049556049799869909625,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": 185608563775057340099112099599739819251,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": 92804281887528670270916978684384529017,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": 185608563775057340541833957368769058035,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": 92804281887528670492277907568899148409,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": 185608563775057340984555815137798296819,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": 92804281887528670713638836453413767801,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": 185608563775057341427277672906827535603,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": 92804281887528670934999765337928387193,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": 185608563775057341869999530675856774387,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": 92804281887528671156360694222443006585,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": 185608563775057342312721388444886013171,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": 92804281887528671377721623106957625977,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": 185608563775057342755443246213915251955,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": 92804281887528671599082551991472245369,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": 185608563775057343198165103982944490739,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": 92804281887528671820443480875986864761,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": 185608563775057343640886961751973729523,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": 92804281887528672041804409760501484153,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": 185608563775057344083608819521002968307,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": 92804281887528672263165338645016103545,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": 185608563775057344526330677290032207091,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": 92804281887528672484526267529530722937,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": 185608563775057344969052535059061445875,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": 92804281887528672705887196414045342329,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": 185608563775057345411774392828090684659,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": 92804281887528672927248125298559961721,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": 185608563775057345854496250597119923443,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": 92804281887528673148609054183074581113,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": 185608563775057346297218108366149162227,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": 92804281887528673369969983067589200505,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": 185608563775057346739939966135178401011,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": 92804281887528673591330911952103819897,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": 185608563775057347182661823904207639795,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": 92804281887528673812691840836618439289,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": 185608563775057347625383681673236878579,
          "denominator": 340282366920938463463374607431768211456
        }
      ]
    ],
    "initial_phase_bounds": [
      [
        {
          "numerator": -1460966971720108629915832506557133013607,
          "denominator": 340282366920938463463374607431768211456
        },
        {
          "numerator": -730483485860054314957916253278566506723,
          "denominator": 170141183460469231731687303715884105728
        }
      ],
      [
        {
          "numerator": -1098099855051033967936984117900793279831,
          "denominator": 340282366920938463463374607431768211456
        },
        {
          "numerator": -549049927525516983968492058950396639833,
          "denominator": 170141183460469231731687303715884105728
        }
      ],
      [
        {
          "numerator": -608943952602184926339448238243435443543,
          "denominator": 340282366920938463463374607431768211456
        },
        {
          "numerator": -304471976301092463169724119121717721689,
          "denominator": 170141183460469231731687303715884105728
        }
      ],
      [
        {
          "numerator": -119788050153335886439012813367356355927,
          "denominator": 340282366920938463463374607431768211456
        },
        {
          "numerator": -59894025076667943219506406683678177881,
          "denominator": 170141183460469231731687303715884105728
        }
      ],
      [
        {
          "numerator": 369367852295513155158523066290001480361,
          "denominator": 340282366920938463463374607431768211456
        },
        {
          "numerator": 184683926147756577579261533145000740263,
          "denominator": 170141183460469231731687303715884105728
        }
      ],
      [
        {
          "numerator": 858523754744362196756058945947359316649,
          "denominator": 340282366920938463463374607431768211456
        },
        {
          "numerator": 429261877372181098378029472973679658407,
          "denominator": 170141183460469231731687303715884105728
        }
      ],
      [
        {
          "numerator": 1347679657193211238353594825604717152937,
          "denominator": 340282366920938463463374607431768211456
        },
        {
          "numerator": 673839828596605619176797412802358576551,
          "denominator": 170141183460469231731687303715884105728
        }
      ],
      [
        {
          "numerator": 1836835559642060278254030250480796240553,
          "denominator": 340282366920938463463374607431768211456
        },
        {
          "numerator": 918417779821030139127015125240398120359,
          "denominator": 170141183460469231731687303715884105728
        }
      ],
      [
        {
          "numerator": 2325991462090909319851566130138154076841,
          "denominator": 340282366920938463463374607431768211456
        },
        {
          "numerator": 1162995731045454659925783065069077038503,
          "denominator": 170141183460469231731687303715884105728
        }
      ],
      [
        {
          "numerator": -707823180076973342285006286116802076963,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": -707823180076973342285006286116802076881,
          "denominator": 170141183460469231731687303715884105728
        }
      ],
      [
        {
          "numerator": -571710233308597956715189002406999276221,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": -1143420466617195913430378004813998552277,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": -910191557293048072442860490792516645443,
          "denominator": 340282366920938463463374607431768211456
        },
        {
          "numerator": -910191557293048072442860490792516645277,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": -169240661992225058288110857888078371779,
          "denominator": 85070591730234615865843651857942052864
        },
        {
          "numerator": -676962647968900233152443431552313486949,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": -443733738644752392164925917530831580117,
          "denominator": 340282366920938463463374607431768211456
        },
        {
          "numerator": -443733738644752392164925917530831579949,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": -105252414660302275588704201754674836559,
          "denominator": 170141183460469231731687303715884105728
        },
        {
          "numerator": -210504829320604551177408403509349672949,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": 22724080003543289810109110512132233881,
          "denominator": 340282366920938463463374607431768211456
        },
        {
          "numerator": 22724080003543289810109110512132234051,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": 15997061832980695568782885609520962013,
          "denominator": 21267647932558653966460912964485513216
        },
        {
          "numerator": 255952989327691129100526169752335392379,
          "denominator": 340282366920938463463374607431768211456
        }
      ],
      [
        {
          "numerator": 489181898651838970088043683773817299207,
          "denominator": 340282366920938463463374607431768211456
        },
        {
          "numerator": 489181898651838970088043683773817299379,
          "denominator": 340282366920938463463374607431768211456
        }
      ]
    ]
  },
  "actual_arc_mean_source_box": {
    "lo": {
      "numerator": 489155902448849041182484137998892924907,
      "denominator": 340282366920938463463374607431768211456
    },
    "hi": {
      "numerator": 489155902448849041182484137998892924949,
      "denominator": 340282366920938463463374607431768211456
    }
  },
  "paired_control": {
    "actual_curvatures_signed_separation": true
  },
  "equal_exposure_companion": {
    "associated_history_id": "linear-positive",
    "definition": "rho_companion(s)=rho_positive(s)+epsilon*cos(4*pi*s/H)",
    "epsilon": {
      "numerator": 1,
      "denominator": 2251799813685248
    },
    "global_rate_bounds": [
      {
        "numerator": 2533274790395895,
        "denominator": 2251799813685248
      },
      {
        "numerator": 2533274790395929,
        "denominator": 2251799813685248
      }
    ],
    "derivative_upper_bound_using_pi_less_than_four": {
      "numerator": 1,
      "denominator": 4194304
    },
    "sampled_rates": [
      {
        "numerator": 2533274790395897,
        "denominator": 2251799813685248
      },
      {
        "numerator": 2533274790395905,
        "denominator": 2251799813685248
      },
      {
        "numerator": 2533274790395913,
        "denominator": 2251799813685248
      },
      {
        "numerator": 2533274790395929,
        "denominator": 2251799813685248
      }
    ],
    "sampled_rate_differences": [
      {
        "numerator": 1,
        "denominator": 2251799813685248
      },
      {
        "numerator": 1,
        "denominator": 2251799813685248
      },
      {
        "numerator": 1,
        "denominator": 2251799813685248
      },
      {
        "numerator": 1,
        "denominator": 2251799813685248
      }
    ],
    "cosine_turns": [
      {
        "numerator": 0,
        "denominator": 1
      },
      {
        "numerator": 1,
        "denominator": 1
      },
      {
        "numerator": 2,
        "denominator": 1
      },
      {
        "numerator": 4,
        "denominator": 1
      }
    ],
    "exact_exposure_differences": [
      {
        "numerator": 0,
        "denominator": 1
      },
      {
        "numerator": 0,
        "denominator": 1
      },
      {
        "numerator": 0,
        "denominator": 1
      },
      {
        "numerator": 0,
        "denominator": 1
      }
    ],
    "structural_reading_times": [
      {
        "numerator": 0,
        "denominator": 1
      },
      {
        "numerator": 633318697598975,
        "denominator": 18889465931478580854784
      },
      {
        "numerator": 9,
        "denominator": 134217728
      },
      {
        "numerator": 316659348799489,
        "denominator": 2361183241434822606848
      }
    ],
    "structural_segment_durations": [
      {
        "numerator": 633318697598975,
        "denominator": 18889465931478580854784
      },
      {
        "numerator": 633318697598977,
        "denominator": 18889465931478580854784
      },
      {
        "numerator": 158329674399745,
        "denominator": 2361183241434822606848
      }
    ],
    "source_association": "hidden_source",
    "sensor_association": "hidden_sensor",
    "flow_association": "Reuse the newly evaluated positive full trajectory by exact equality of every event/sample exposure; no companion producer call or independent response",
    "readings_association": "Same positive-history readings, held sensor, four errors and public inverse request; no new companion observation",
    "stopping_rule": {
      "associated_positive_history": true,
      "nonzero_companion_amplitude": true,
      "global_positive_rate_admitted": true,
      "derivative_admitted_by_pi_less_than_four": true,
      "integer_cosine_turns_at_all_readings": true,
      "distinct_sampled_rates": true,
      "same_all_three_segment_exposures": true,
      "same_complete_source_and_events": true
    }
  },
  "full_flow_steps_attempted": 9,
  "frozen_stopping_rule": {
    "shared.source_admitted": true,
    "reference.clock_profile_admitted": true,
    "reference.first_window_mean_identity": true,
    "reference.segment_1_source_association": true,
    "reference.segment_1_phase_only_or_zero_event": true,
    "reference.segment_1_complete_horizon": true,
    "reference.segment_2_source_association": true,
    "reference.segment_2_phase_only_or_zero_event": true,
    "reference.segment_2_complete_horizon": true,
    "reference.segment_2_shared_baseline": true,
    "reference.segment_3_source_association": true,
    "reference.segment_3_phase_only_or_zero_event": true,
    "reference.segment_3_complete_horizon": true,
    "reference.segment_3_shared_baseline": true,
    "reference.passive_half_window_reading": true,
    "reference.held_sensor_admitted": true,
    "reference.numerical_reading_halfwidths": true,
    "linear-positive.clock_profile_admitted": true,
    "linear-positive.first_window_mean_identity": true,
    "linear-positive.segment_1_source_association": true,
    "linear-positive.segment_1_phase_only_or_zero_event": true,
    "linear-positive.segment_1_complete_horizon": true,
    "linear-positive.segment_2_source_association": true,
    "linear-positive.segment_2_phase_only_or_zero_event": true,
    "linear-positive.segment_2_complete_horizon": true,
    "linear-positive.segment_2_shared_baseline": true,
    "linear-positive.segment_3_source_association": true,
    "linear-positive.segment_3_phase_only_or_zero_event": true,
    "linear-positive.segment_3_complete_horizon": true,
    "linear-positive.segment_3_shared_baseline": true,
    "linear-positive.passive_half_window_reading": true,
    "linear-positive.held_sensor_admitted": true,
    "linear-positive.numerical_reading_halfwidths": true,
    "linear-positive.public_only_packet": true,
    "linear-positive.primary_bounded_candidate": true,
    "linear-positive.primary_certificates": true,
    "linear-positive.nominal_angle_covered": true,
    "linear-positive.actual_angle_covered": true,
    "linear-positive.actual_angle_resolution": true,
    "linear-positive.effective_gain_covered": true,
    "linear-positive.effective_gain_resolution": true,
    "linear-positive.gain_covered": true,
    "linear-positive.gain_resolution": true,
    "linear-positive.mean_clock_covered": true,
    "linear-positive.mean_clock_resolution": true,
    "linear-positive.false_angle_prior_excluded": true,
    "linear-positive.false_gain_coarse_available": true,
    "linear-positive.false_gain_curvature_excluded": true,
    "linear-positive.false_clock_coarse_available": true,
    "linear-positive.false_clock_curvature_excluded": true,
    "linear-positive.equal_amplitude_rank_abstention": true,
    "linear-positive.window_1_phase_blind_excluded": true,
    "linear-positive.window_2_phase_blind_excluded": true,
    "linear-positive.transfer_bounds_match_public_primitives": true,
    "linear-positive.half_reading_signed_separation": true,
    "linear-positive.final_reading_signed_separation": true,
    "linear-positive.half_full_difference_within_transfer": true,
    "linear-positive.final_full_difference_within_transfer": true,
    "linear-positive.H_full_state_enclosures_intersect": true,
    "linear-positive.H_post_event_full_state_enclosures_intersect": true,
    "linear-negative.clock_profile_admitted": true,
    "linear-negative.first_window_mean_identity": true,
    "linear-negative.segment_1_source_association": true,
    "linear-negative.segment_1_phase_only_or_zero_event": true,
    "linear-negative.segment_1_complete_horizon": true,
    "linear-negative.segment_2_source_association": true,
    "linear-negative.segment_2_phase_only_or_zero_event": true,
    "linear-negative.segment_2_complete_horizon": true,
    "linear-negative.segment_2_shared_baseline": true,
    "linear-negative.segment_3_source_association": true,
    "linear-negative.segment_3_phase_only_or_zero_event": true,
    "linear-negative.segment_3_complete_horizon": true,
    "linear-negative.segment_3_shared_baseline": true,
    "linear-negative.passive_half_window_reading": true,
    "linear-negative.held_sensor_admitted": true,
    "linear-negative.numerical_reading_halfwidths": true,
    "linear-negative.public_only_packet": true,
    "linear-negative.primary_bounded_candidate": true,
    "linear-negative.primary_certificates": true,
    "linear-negative.nominal_angle_covered": true,
    "linear-negative.actual_angle_covered": true,
    "linear-negative.actual_angle_resolution": true,
    "linear-negative.effective_gain_covered": true,
    "linear-negative.effective_gain_resolution": true,
    "linear-negative.gain_covered": true,
    "linear-negative.gain_resolution": true,
    "linear-negative.mean_clock_covered": true,
    "linear-negative.mean_clock_resolution": true,
    "linear-negative.false_angle_prior_excluded": true,
    "linear-negative.false_gain_coarse_available": true,
    "linear-negative.false_gain_curvature_excluded": true,
    "linear-negative.false_clock_coarse_available": true,
    "linear-negative.false_clock_curvature_excluded": true,
    "linear-negative.equal_amplitude_rank_abstention": true,
    "linear-negative.window_1_phase_blind_excluded": true,
    "linear-negative.window_2_phase_blind_excluded": true,
    "linear-negative.transfer_bounds_match_public_primitives": true,
    "linear-negative.half_reading_signed_separation": true,
    "linear-negative.final_reading_signed_separation": true,
    "linear-negative.half_full_difference_within_transfer": true,
    "linear-negative.final_full_difference_within_transfer": true,
    "linear-negative.H_full_state_enclosures_intersect": true,
    "linear-negative.H_post_event_full_state_enclosures_intersect": true,
    "paired.actual_curvatures_signed_separation": true,
    "companion.associated_positive_history": true,
    "companion.nonzero_companion_amplitude": true,
    "companion.global_positive_rate_admitted": true,
    "companion.derivative_admitted_by_pi_less_than_four": true,
    "companion.integer_cosine_turns_at_all_readings": true,
    "companion.distinct_sampled_rates": true,
    "companion.same_all_three_segment_exposures": true,
    "companion.same_complete_source_and_events": true
  },
  "frozen_stopping_rule_passed": true
}