{
  "checks": {
    "actual_balance_residual": true,
    "acute_winding_and_held_support": true,
    "disconnected_receiver_control": true,
    "predicted_response_bands": true,
    "refinement_and_signal": true
  },
  "passed": true,
  "prediction": {
    "capacity": [
      1.0,
      1.0,
      1.0,
      1.0,
      1.0,
      1.0,
      1.0,
      1.0,
      1.0,
      1.0
    ],
    "contrast": "joined_right_minus_separately_executed_right",
    "edges": [
      [
        0,
        1
      ],
      [
        0,
        4
      ],
      [
        0,
        5
      ],
      [
        1,
        2
      ],
      [
        2,
        3
      ],
      [
        3,
        4
      ],
      [
        5,
        6
      ],
      [
        5,
        9
      ],
      [
        6,
        7
      ],
      [
        7,
        8
      ],
      [
        8,
        9
      ]
    ],
    "gates": {
      "maximum_actual_balance_residual": 1e-12,
      "maximum_disconnected_right_drift": 1e-12,
      "minimum_acute_margin": 0.15707963267948966,
      "normalized_response_interval": [
        0.75,
        1.25
      ],
      "numerical_slack": 1e-12,
      "refinement_contraction": 0.75,
      "signal_to_last_grid_difference": 32,
      "winding": 1
    },
    "horizon": {
      "denominator": 16,
      "numerator": 1
    },
    "initial_acceleration_estimates": {
      "form": 7.071275658213666e-05,
      "phase": -6.403851842991315e-05
    },
    "initial_form": [
      {
        "denominator": 1,
        "numerator": 0
      },
      {
        "denominator": 256,
        "numerator": 1
      },
      {
        "denominator": 1,
        "numerator": 0
      },
      {
        "denominator": 1,
        "numerator": 0
      },
      {
        "denominator": 1,
        "numerator": 0
      },
      {
        "denominator": 1,
        "numerator": 0
      },
      {
        "denominator": 1,
        "numerator": 0
      },
      {
        "denominator": 1,
        "numerator": 0
      },
      {
        "denominator": 1,
        "numerator": 0
      },
      {
        "denominator": 1,
        "numerator": 0
      }
    ],
    "initial_phase": [
      0.0,
      1.2566370614359172,
      2.5132741228718345,
      3.7699111843077517,
      5.026548245743669,
      0.0,
      1.2566370614359172,
      2.5132741228718345,
      3.7699111843077517,
      5.026548245743669
    ],
    "leading_response_estimates": {
      "form": 1.3811085269948566e-07,
      "phase": -1.2507523130842412e-07
    },
    "model": {
      "epi_weight": 0.5,
      "phase_weight": 0.5,
      "storage_scale": 1.0
    },
    "nodes": [
      0,
      1,
      2,
      3,
      4,
      5,
      6,
      7,
      8,
      9
    ],
    "observables": "right_port_minus_other_four_mean_form_and_reference_relative_phase",
    "protocol": "relational-region-interaction-v1",
    "regions": {
      "left": [
        0,
        1,
        2,
        3,
        4
      ],
      "right": [
        5,
        6,
        7,
        8,
        9
      ]
    },
    "runtime": {
      "integrator": "production_step_relational_exchange_explicit_Euler",
      "machine": "AMD64",
      "networkx": "3.6.1",
      "numpy": "2.5.3",
      "platform": "Windows-11-10.0.26200-SP0",
      "precision": "binary64_states_exact_Fraction_observations_and_defects",
      "pressure_path": "fused_canonical",
      "python": "3.13.6",
      "randomness": "none"
    },
    "scenarios": [
      "joined",
      "left",
      "right"
    ],
    "scope": "prepared_conditional_interaction_not_formation_closed_regional_law_or_physical_validation",
    "source_sha256": {
      "benchmarks/relational_region_interaction.py": "0ee94e6bd867a564ca7ba49fbaed11eceb9cd9a49d115e15f36bdfacc92b216d",
      "src/tnfr/_exact_time.py": "69ef60f1405b6551f3d0fb64ad253dbe7267a053a6b390513c539a5a7a8878c0",
      "src/tnfr/alias.py": "378e781b833d228fc24d66315fe81a8edfe2ef7204d4ead8c0822fa9fc096cc6",
      "src/tnfr/config/defaults_core.py": "bf938cb6108005a519f7e184865366a0f00ccdfd4fd685fbb3a8ea7b73faf551",
      "src/tnfr/dynamics/_euler_kernel.py": "2d355304c3b82fbdcde42a2c9b70d2d0ab9e53c9462e9746b74d30aab05635c7",
      "src/tnfr/dynamics/canonical.py": "a3a1407b963f7846b1c005eaba3f76f2e2e72e0436b88b2ef2d7a4ebc1569221",
      "src/tnfr/dynamics/dnfr.py": "e746586a987b223fda19192a49729e5274216668b4522d79cd46a935f184f7a1",
      "src/tnfr/dynamics/fused_dnfr.py": "67ebc6c994da1f26ff1e1265dc135efe1fc24d0114d1b021fb9e5978eec77b2a",
      "src/tnfr/dynamics/relational.py": "7429eb62726cede9fe4e2d357936d0e94ffb2467f62bac332bcba524fd504410",
      "src/tnfr/gamma.py": "f21003b17e228c855c8c6aa0a1524072b153b1620211678519c89c3e01498027",
      "src/tnfr/mathematics/_neighbor_differences.py": "253a6e1ca539a27c555ea0b500f56d49e3d370778fb8d2bdbf24d481deaf3ba6",
      "src/tnfr/mathematics/_phase_midpoint.py": "aea8e1902f83b7d585c31119f96039816dc607b2bad40200d85264446826d446",
      "src/tnfr/mathematics/_weight_normalization.py": "da19f3db04024494e5fb1936db2c73b05ade9d6ff5a9b41d37dfb66e300c1d7f",
      "src/tnfr/mathematics/epi.py": "0fc5498d18f4864be2cfa578d5fa3d7279dd84678c13a310cd9532b3d29e5f2e",
      "src/tnfr/mathematics/unified_numerical.py": "d8b48a6cbb588db76c05194601094063d7c9c15121275bd37f51537c5d90fb0e",
      "src/tnfr/metrics/common.py": "eb40d413b390a66592d1e36691060248b8002076af5c44d2221b3d4539b1a632",
      "src/tnfr/physics/_conductance.py": "e4242342dbe17ea4e4b7007f021ade2c4d5ce49238f563b93205b3c85b866856",
      "src/tnfr/physics/structural_diffusion.py": "6d4ac3fed688869e36246a7afd5e5f3bf41485e7faaa5e76d006400285b28b20",
      "src/tnfr/physics/support_transport.py": "03dc1a1d5dbde29e3b61cb043f358e68173d91ccf28c12fca5bbc3e4e471fcb9",
      "src/tnfr/physics/winding_certificates.py": "0374fe2660493dc6e02d660f79a4f7fff3988cf729d96db9f7969b2b961ab22a",
      "src/tnfr/types.py": "38cb289492b630d4fa9effc67c4b165d73821f4b7e6a2bc8953a41dc2029d5fb",
      "src/tnfr/utils/graph.py": "c879155866bea82279e08cac35b1304180108f4c5d19869b80eb07228143ee8d",
      "src/tnfr/utils/numeric.py": "a5b50acffc2869b989d700894126a22511f875a3b347f1cfcdc5bc2d0a959394"
    },
    "step_counts": [
      64,
      128,
      256
    ],
    "timesteps": [
      {
        "denominator": 1024,
        "numerator": 1
      },
      {
        "denominator": 2048,
        "numerator": 1
      },
      {
        "denominator": 4096,
        "numerator": 1
      }
    ]
  },
  "refinements": {
    "form": {
      "coarse_to_middle": {
        "denominator": 1361129467683753853853498429727072845824,
        "numerator": 1366653397000844939976106802077
      },
      "contracting": true,
      "middle_to_fine": {
        "denominator": 1361129467683753853853498429727072845824,
        "numerator": 682939773898976602095304414879
      },
      "signal_resolved": true
    },
    "phase": {
      "coarse_to_middle": {
        "denominator": 83076749736557242056487941267521536,
        "numerator": 74947774971311944823589375
      },
      "contracting": true,
      "middle_to_fine": {
        "denominator": 41538374868278621028243970633760768,
        "numerator": 18725172397941871779183781
      },
      "signal_resolved": true
    }
  },
  "responses": {
    "128": {
      "form": {
        "difference": {
          "denominator": 1361129467683753853853498429727072845824,
          "numerator": 182146598599570050526547569190697
        },
        "normalized_response": 0.9689331680417191
      },
      "phase": {
        "difference": {
          "denominator": 20769187434139310514121985316880384,
          "numerator": -2510620058439668570624538387
        },
        "normalized_response": 0.9664739970787729
      }
    },
    "256": {
      "form": {
        "difference": {
          "denominator": 170141183460469231731687303715884105728,
          "numerator": 22853692296683628391080359200697
        },
        "normalized_response": 0.9725660824293239
      },
      "phase": {
        "difference": {
          "denominator": 41538374868278621028243970633760768,
          "numerator": -5039965289277279013028260555
        },
        "normalized_response": 0.9700781649321668
      }
    },
    "64": {
      "form": {
        "difference": {
          "denominator": 340282366920938463463374607431768211456,
          "numerator": 45194986300642301396642865597155
        },
        "normalized_response": 0.9616632227572501
      },
      "phase": {
        "difference": {
          "denominator": 83076749736557242056487941267521536,
          "numerator": -9967532458787362337674564173
        },
        "normalized_response": 0.9592611299421081
      }
    }
  },
  "scope": "finite_prepared_transmission_Taylor_and_grid_checks_not_ODE_error_bounds_or_closed_region_dynamics",
  "traces": {
    "joined": {
      "128": {
        "capacity_support_and_path_held": true,
        "checkpoints": {
          "0": {
            "balance_residual": {
              "denominator": 442721857769029238784,
              "numerator": 19
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              0.0,
              0.00390625,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "form_rate": [
              0.0006510416666666557,
              -0.001953125,
              0.0009765625,
              0.0,
              1.9490859162596877e-17,
              -1.0920504979011382e-17,
              0.0,
              0.0,
              0.0,
              1.9490859162596877e-17
            ],
            "nodes": [
              0,
              1,
              2,
              3,
              4,
              5,
              6,
              7,
              8,
              9
            ],
            "phase": [
              0.0,
              1.2566370614359172,
              2.5132741228718345,
              3.7699111843077517,
              5.026548245743669,
              0.0,
              1.2566370614359172,
              2.5132741228718345,
              3.7699111843077517,
              5.026548245743669
            ],
            "phase_rate": [
              -0.0003842311105794789,
              0.00201186021406439,
              -0.001005930107032195,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "phase_source": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "pressure": [
              0.0006510416666666557,
              -0.001953125,
              0.0009765625,
              0.0,
              1.9490859162596877e-17,
              -1.0920504979011382e-17,
              0.0,
              0.0,
              0.0,
              1.9490859162596877e-17
            ],
            "regional_transport": {
              "left": {
                "internal_dissipation": {
                  "denominator": 65536,
                  "numerator": 1
                },
                "mass_boundary_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mass_defect_rate": {
                  "denominator": 162259276829213363391578010288128,
                  "numerator": 977120867503569
                },
                "mass_forcing_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mass_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mean": {
                  "denominator": 1408,
                  "numerator": 1
                },
                "outward_cut_current": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance": {
                  "denominator": 720896,
                  "numerator": 9
                },
                "variance_boundary_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance_defect_rate": {
                  "denominator": 228461061775532415655341838485684224,
                  "numerator": -977120867503569
                },
                "variance_forcing_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                }
              },
              "right": {
                "internal_dissipation": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mass_boundary_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mass_defect_rate": {
                  "denominator": 649037107316853453566312041152512,
                  "numerator": 4037142813973603
                },
                "mass_forcing_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mass_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mean": {
                  "denominator": 1,
                  "numerator": 0
                },
                "outward_cut_current": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance_boundary_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance_defect_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance_forcing_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                }
              }
            },
            "regions": {
              "left": {
                "centered_distance": 0.0034938562148434217,
                "centered_state": [
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 320,
                    "numerator": 1
                  },
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  }
                ],
                "chi_form": {
                  "denominator": 1024,
                  "numerator": -1
                },
                "chi_phase": {
                  "denominator": 1,
                  "numerator": 0
                },
                "form_mean": {
                  "denominator": 1280,
                  "numerator": 1
                },
                "phase_error_mean": {
                  "denominator": 1,
                  "numerator": 0
                }
              },
              "right": {
                "centered_distance": 0.0,
                "centered_state": [
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  }
                ],
                "chi_form": {
                  "denominator": 1,
                  "numerator": 0
                },
                "chi_phase": {
                  "denominator": 1,
                  "numerator": 0
                },
                "form_mean": {
                  "denominator": 1,
                  "numerator": 0
                },
                "phase_error_mean": {
                  "denominator": 1,
                  "numerator": 0
                }
              }
            },
            "storage": {
              "denominator": 5070602400912917605986812821504,
              "numerator": 35037078244376612709683356420389
            },
            "time": 0.0
          },
          "128": {
            "balance_residual": {
              "denominator": 147119571923125330402401314606429681627398955729625808896,
              "numerator": -18263708924558196402229789695366107395
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              3.967891112673332e-05,
              0.0037860086136232594,
              5.977558932853787e-05,
              3.1378758477602875e-07,
              2.5143825371698787e-07,
              1.3406576557514635e-07,
              4.901465060552041e-10,
              1.0125555320820503e-12,
              1.012558297858666e-12,
              4.901465015637272e-10
            ],
            "form_rate": [
              0.0006186484437710006,
              -0.0018944200736428583,
              0.000936142278195373,
              1.0051234955144305e-05,
              8.032387603201068e-06,
              4.275511486157653e-06,
              2.3736437580075445e-08,
              6.608550785627187e-11,
              6.608541631032905e-11,
              2.37364377950496e-08
            ],
            "nodes": [
              0,
              1,
              2,
              3,
              4,
              5,
              6,
              7,
              8,
              9
            ],
            "phase": [
              -2.3281309637744995e-05,
              1.2567600689520497,
              2.513213182635036,
              3.769910705598435,
              5.026547927222086,
              -1.212369904644898e-07,
              1.2566370607277835,
              2.5132741228699054,
              3.7699111843058226,
              5.026548245035534
            ],
            "phase_rate": [
              -0.0003607590286620279,
              0.0019242087098488828,
              -0.0009440805900177869,
              -1.5297861670375998e-05,
              -1.0168987450813963e-05,
              -3.8634782810533925e-06,
              -3.4272186162157255e-08,
              -1.2596085005304185e-10,
              -1.2596084648591963e-10,
              -3.427217337743902e-08
            ],
            "phase_source": [
              1.48444261212171e-05,
              -5.25587838900597e-05,
              3.889894511526442e-05,
              -9.597256296027834e-06,
              -3.6801358955678335e-06,
              -4.541541735328032e-06,
              -1.9070367400552943e-08,
              -1.1239594767601584e-10,
              -1.12396118973245e-10,
              -1.907036697507668e-08
            ],
            "pressure": [
              0.0006186484437710006,
              -0.0018944200736428583,
              0.000936142278195373,
              1.0051234955144305e-05,
              8.032387603201068e-06,
              4.275511486157653e-06,
              2.3736437580075445e-08,
              6.608550785627187e-11,
              6.608541631032905e-11,
              2.37364377950496e-08
            ],
            "regional_transport": {
              "left": {
                "internal_dissipation": {
                  "denominator": 89202980794122492566142873090593446023921664,
                  "numerator": 1245491669755488965982969543430815481133
                },
                "mass_boundary_rate": {
                  "denominator": 37778931862957161709568,
                  "numerator": -746981009215186135
                },
                "mass_defect_rate": {
                  "denominator": 37778931862957161709568,
                  "numerator": -5044505
                },
                "mass_forcing_rate": {
                  "denominator": 2361183241434822606848,
                  "numerator": -11028123049298753
                },
                "mass_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mean": {
                  "denominator": 25973015655783048675328,
                  "numerator": 18444939163896545345
                },
                "outward_cut_current": {
                  "denominator": 18889465931478580854784,
                  "numerator": 746981009215186135
                },
                "variance": {
                  "denominator": 490616394367673709113785801998263953131569152,
                  "numerator": 5674475949824100801187348168194371144723
                },
                "variance_boundary_rate": {
                  "denominator": 981232788735347418227571603996527906263138304,
                  "numerator": 13008194851117171150013058174800638055
                },
                "variance_defect_rate": {
                  "denominator": 245308197183836854556892900999131976565784576,
                  "numerator": -7376848132723451198884517
                },
                "variance_forcing_rate": {
                  "denominator": 245308197183836854556892900999131976565784576,
                  "numerator": -47213576990371652094238305922901058265
                },
                "variance_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                }
              },
              "right": {
                "internal_dissipation": {
                  "denominator": 24519928653854221733733552434404946937899825954937634816,
                  "numerator": 437501369624990522702532921638825640131855
                },
                "mass_boundary_rate": {
                  "denominator": 37778931862957161709568,
                  "numerator": 746981009215186135
                },
                "mass_defect_rate": {
                  "denominator": 38685626227668133590597632,
                  "numerator": -2832522815
                },
                "mass_forcing_rate": {
                  "denominator": 151115727451828646838272,
                  "numerator": -1035245209067801053
                },
                "mass_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mean": {
                  "denominator": 27234680864278366047780732928,
                  "numerator": 1000656478352956196357
                },
                "outward_cut_current": {
                  "denominator": 18889465931478580854784,
                  "numerator": -746981009215186135
                },
                "variance": {
                  "denominator": 269719215192396439071069076778454416316898085504313982976,
                  "numerator": 5269252685886455669461436066666347992924141
                },
                "variance_boundary_rate": {
                  "denominator": 1028897152680955654415394122232263245837776510255104,
                  "numerator": 1979934314217978634163837141427902578125
                },
                "variance_defect_rate": {
                  "denominator": 269719215192396439071069076778454416316898085504313982976,
                  "numerator": -819855049911446031913258675628443
                },
                "variance_forcing_rate": {
                  "denominator": 4214362737381194360485454324663350254951532586004905984,
                  "numerator": -2788260422296594383099485508927939243856039
                },
                "variance_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                }
              }
            },
            "regions": {
              "left": {
                "centered_distance": 0.0033671744760379774,
                "centered_state": [
                  {
                    "denominator": 23611832414348226068480,
                    "numerator": -17414358183997476593
                  },
                  {
                    "denominator": 23611832414348226068480,
                    "numerator": 71043350920245544367
                  },
                  {
                    "denominator": 23611832414348226068480,
                    "numerator": -16939838786211382513
                  },
                  {
                    "denominator": 47223664828696452136960,
                    "numerator": -36687681768080572471
                  },
                  {
                    "denominator": 47223664828696452136960,
                    "numerator": -36690626131992798051
                  },
                  {
                    "denominator": 368934881474191032320,
                    "numerator": -11392361380789977
                  },
                  {
                    "denominator": 1475739525896764129280,
                    "numerator": 170314756862983897
                  },
                  {
                    "denominator": 1475739525896764129280,
                    "numerator": -101144212837286183
                  },
                  {
                    "denominator": 1475739525896764129280,
                    "numerator": -11918746936066343
                  },
                  {
                    "denominator": 1475739525896764129280,
                    "numerator": -11682351566471463
                  }
                ],
                "chi_form": {
                  "denominator": 18889465931478580854784,
                  "numerator": -17414358183997476593
                },
                "chi_phase": {
                  "denominator": 295147905179352825856,
                  "numerator": -11392361380789977
                },
                "form_mean": {
                  "denominator": 23611832414348226068480,
                  "numerator": 18351249983905720913
                },
                "phase_error_mean": {
                  "denominator": 1475739525896764129280,
                  "numerator": 11212296676098343
                }
              },
              "right": {
                "centered_distance": 1.6129776840048157e-07,
                "centered_state": [
                  {
                    "denominator": 4951760157141521099596496896,
                    "numerator": 530116372382262309375
                  },
                  {
                    "denominator": 4951760157141521099596496896,
                    "numerator": -131318056089576450049
                  },
                  {
                    "denominator": 4951760157141521099596496896,
                    "numerator": -133740130097282077719
                  },
                  {
                    "denominator": 2475880078570760549798248448,
                    "numerator": -66870065041793307635
                  },
                  {
                    "denominator": 4951760157141521099596496896,
                    "numerator": -131318056111817166337
                  },
                  {
                    "denominator": 47223664828696452136960,
                    "numerator": -4566791282633131
                  },
                  {
                    "denominator": 188894659314785808547840,
                    "numerator": 4500092191648171
                  },
                  {
                    "denominator": 188894659314785808547840,
                    "numerator": 4633490478475691
                  },
                  {
                    "denominator": 188894659314785808547840,
                    "numerator": 4633490478475691
                  },
                  {
                    "denominator": 188894659314785808547840,
                    "numerator": 4500091981932971
                  }
                ],
                "chi_form": {
                  "denominator": 19807040628566084398385987584,
                  "numerator": 2650581861911311546875
                },
                "chi_phase": {
                  "denominator": 37778931862957161709568,
                  "numerator": -4566791282633131
                },
                "form_mean": {
                  "denominator": 4951760157141521099596496896,
                  "numerator": 133745144029422734849
                },
                "phase_error_mean": {
                  "denominator": 188894659314785808547840,
                  "numerator": -4633854879607211
                }
              }
            },
            "storage": {
              "denominator": 24519928653854221733733552434404946937899825954937634816,
              "numerator": 169428882598538917362842614029547094128807208285052402959
            },
            "time": 0.0625
          },
          "64": {
            "balance_residual": {
              "denominator": 37662610412320084583014736539245998496614132666784207077376,
              "numerator": -1920135148503953954207886864199092813487
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              2.0092559887605486e-05,
              0.00384567063055905,
              3.0203610241023077e-05,
              7.83571432596597e-08,
              6.295556966104931e-08,
              3.36239811716067e-08,
              6.04355611270572e-11,
              6.080105890743748e-14,
              6.080156805380315e-14,
              6.043556086660671e-11
            ],
            "form_rate": [
              0.0006346815262330438,
              -0.0019235630181847147,
              0.0009562011030102415,
              5.0769904731087195e-06,
              4.073488973972319e-06,
              2.1737542026825425e-06,
              5.9682403943172135e-09,
              8.148454244397992e-12,
              8.148559815914979e-12,
              5.968240217877244e-09
            ],
            "nodes": [
              0,
              1,
              2,
              3,
              4,
              5,
              6,
              7,
              8,
              9
            ],
            "phase": [
              -1.1824055606638322e-05,
              1.2566992500496668,
              2.5132431694919566,
              3.7699110644893064,
              5.026548165942198,
              -3.042886275196664e-08,
              1.2566370613485254,
              2.513274122871719,
              3.7699111843076363,
              5.0265482456562784
            ],
            "phase_rate": [
              -0.00037236635759559203,
              0.001967649551066199,
              -0.0009747005918155049,
              -7.754200378421523e-06,
              -5.161859010052441e-06,
              -1.9664575753616196e-06,
              -8.627673553295971e-09,
              -1.5547594080696145e-11,
              -1.5547593616106012e-11,
              -8.627672745579162e-09
            ],
            "phase_source": [
              7.533208983743696e-06,
              -2.6603490874691005e-05,
              1.9731322410317392e-05,
              -4.900944815829449e-06,
              -1.8755249978565115e-06,
              -2.31642786633148e-06,
              -4.8151046275036196e-09,
              -1.3890460162622334e-11,
              -1.3890231436865612e-11,
              -4.815105091456887e-09
            ],
            "pressure": [
              0.0006346815262330438,
              -0.0019235630181847147,
              0.0009562011030102415,
              5.0769904731087195e-06,
              4.073488973972319e-06,
              2.1737542026825425e-06,
              5.9682403943172135e-09,
              8.148454244397992e-12,
              8.148559815914979e-12,
              5.968240217877244e-09
            ],
            "regional_transport": {
              "left": {
                "internal_dissipation": {
                  "denominator": 1427247692705959881058285969449495136382746624,
                  "numerator": 20833637956039464496282510503780314210503
                },
                "mass_boundary_rate": {
                  "denominator": 18889465931478580854784,
                  "numerator": -189451293213147593
                },
                "mass_defect_rate": {
                  "denominator": 18889465931478580854784,
                  "numerator": 150805
                },
                "mass_forcing_rate": {
                  "denominator": 4722366482869645213696,
                  "numerator": -11092011521194603
                },
                "mass_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mean": {
                  "denominator": 51946031311566097350656,
                  "numerator": 36892585168087233841
                },
                "outward_cut_current": {
                  "denominator": 9444732965739290427392,
                  "numerator": 189451293213147593
                },
                "variance": {
                  "denominator": 7849862309882779345820572831972223250105106432,
                  "numerator": 94327956422474180649679795598893300270183
                },
                "variance_boundary_rate": {
                  "denominator": 981232788735347418227571603996527906263138304,
                  "numerator": 6791612209556653389781637420857720377
                },
                "variance_defect_rate": {
                  "denominator": 15699724619765558691641145663944446500210212864,
                  "numerator": -231416024063061769266492731
                },
                "variance_forcing_rate": {
                  "denominator": 1962465577470694836455143207993055812526276608,
                  "numerator": -195888619080714641754132881498097553425
                },
                "variance_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                }
              },
              "right": {
                "internal_dissipation": {
                  "denominator": 6277101735386680763835789423207666416102355444464034512896,
                  "numerator": 7071250762087607967783342499116746707758593
                },
                "mass_boundary_rate": {
                  "denominator": 18889465931478580854784,
                  "numerator": 189451293213147593
                },
                "mass_defect_rate": {
                  "denominator": 618970019642690137449562112,
                  "numerator": -5584694171
                },
                "mass_forcing_rate": {
                  "denominator": 618970019642690137449562112,
                  "numerator": -2156677109400239729771
                },
                "mass_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mean": {
                  "denominator": 39614081257132168796771975168,
                  "numerator": 364139581655474196129
                },
                "outward_cut_current": {
                  "denominator": 9444732965739290427392,
                  "numerator": -189451293213147593
                },
                "variance": {
                  "denominator": 6277101735386680763835789423207666416102355444464034512896,
                  "numerator": 7727972114191217757042952736027546889082963
                },
                "variance_boundary_rate": {
                  "denominator": 748288838313422294120286634350736906063837462003712,
                  "numerator": 183359210406944720804834768413425099415
                },
                "variance_defect_rate": {
                  "denominator": 6277101735386680763835789423207666416102355444464034512896,
                  "numerator": -12420859784361358804894046866088703
                },
                "variance_forcing_rate": {
                  "denominator": 24519928653854221733733552434404946937899825954937634816,
                  "numerator": -2079377676665428728029201222467223616790923
                },
                "variance_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                }
              }
            },
            "regions": {
              "left": {
                "centered_distance": 0.0034292066778261942,
                "centered_state": [
                  {
                    "denominator": 47223664828696452136960,
                    "numerator": -35848856423036162289
                  },
                  {
                    "denominator": 47223664828696452136960,
                    "numerator": 144808960162363367311
                  },
                  {
                    "denominator": 47223664828696452136960,
                    "numerator": -35371375570080297169
                  },
                  {
                    "denominator": 188894659314785808547840,
                    "numerator": -147176001700994905151
                  },
                  {
                    "denominator": 188894659314785808547840,
                    "numerator": -147178910975992726261
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": -11559738708435189
                  },
                  {
                    "denominator": 2951479051793528258560,
                    "numerator": 172207888338264309
                  },
                  {
                    "denominator": 2951479051793528258560,
                    "numerator": -102698754695356171
                  },
                  {
                    "denominator": 2951479051793528258560,
                    "numerator": -11694144035086091
                  },
                  {
                    "denominator": 2951479051793528258560,
                    "numerator": -11576034774081291
                  }
                ],
                "chi_form": {
                  "denominator": 37778931862957161709568,
                  "numerator": -35848856423036162289
                },
                "chi_phase": {
                  "denominator": 590295810358705651712,
                  "numerator": -11559738708435189
                },
                "form_mean": {
                  "denominator": 47223664828696452136960,
                  "numerator": 36797700736718954609
                },
                "phase_error_mean": {
                  "denominator": 2951479051793528258560,
                  "numerator": 11340502403505931
                }
              },
              "right": {
                "centered_distance": 4.051476617991495e-08,
                "centered_state": [
                  {
                    "denominator": 79228162514264337593543950336,
                    "numerator": 2129255789462638501841
                  },
                  {
                    "denominator": 79228162514264337593543950336,
                    "numerator": -529922256719366011951
                  },
                  {
                    "denominator": 79228162514264337593543950336,
                    "numerator": -534705638021805097911
                  },
                  {
                    "denominator": 19807040628566084398385987584,
                    "numerator": -133676409495366591727
                  },
                  {
                    "denominator": 79228162514264337593543950336,
                    "numerator": -529922256740001025071
                  },
                  {
                    "denominator": 188894659314785808547840,
                    "numerator": -4591667913355771
                  },
                  {
                    "denominator": 755578637259143234191360,
                    "numerator": 4558695566864891
                  },
                  {
                    "denominator": 755578637259143234191360,
                    "numerator": 4624639756530171
                  },
                  {
                    "denominator": 755578637259143234191360,
                    "numerator": 4624639756530171
                  },
                  {
                    "denominator": 755578637259143234191360,
                    "numerator": 4558696573497851
                  }
                ],
                "chi_form": {
                  "denominator": 316912650057057350374175801344,
                  "numerator": 10646278947313192509205
                },
                "chi_phase": {
                  "denominator": 151115727451828646838272,
                  "numerator": -4591667913355771
                },
                "form_mean": {
                  "denominator": 79228162514264337593543950336,
                  "numerator": 534710455177981255727
                },
                "phase_error_mean": {
                  "denominator": 755578637259143234191360,
                  "numerator": -4624726998053371
                }
              }
            },
            "storage": {
              "denominator": 6277101735386680763835789423207666416102355444464034512896,
              "numerator": 43373797881108330368611285811818465489161456918720999779841
            },
            "time": 0.03125
          }
        },
        "dt": 0.00048828125,
        "maximum_actual_balance_residual": {
          "denominator": 301300883298560676664117892313967987972913061334273656619008,
          "numerator": 140682065723808020992602555116074551105233
        },
        "maximum_clock_defect": {
          "denominator": 1,
          "numerator": 0
        },
        "maximum_disconnected_right_drift": null,
        "maximum_energy_step_defect": {
          "denominator": 3533694129556768659166595001485837031654967793751237916243212402585239552,
          "numerator": 9376055613252885478318586545137333701027221242993065348624615
        },
        "minimum_acute_margin": 0.31401297653320914,
        "observed_state_count": 129,
        "steps": 128,
        "winding_preserved": true
      },
      "256": {
        "capacity_support_and_path_held": true,
        "checkpoints": {
          "0": {
            "balance_residual": {
              "denominator": 442721857769029238784,
              "numerator": 19
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              0.0,
              0.00390625,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "form_rate": [
              0.0006510416666666557,
              -0.001953125,
              0.0009765625,
              0.0,
              1.9490859162596877e-17,
              -1.0920504979011382e-17,
              0.0,
              0.0,
              0.0,
              1.9490859162596877e-17
            ],
            "nodes": [
              0,
              1,
              2,
              3,
              4,
              5,
              6,
              7,
              8,
              9
            ],
            "phase": [
              0.0,
              1.2566370614359172,
              2.5132741228718345,
              3.7699111843077517,
              5.026548245743669,
              0.0,
              1.2566370614359172,
              2.5132741228718345,
              3.7699111843077517,
              5.026548245743669
            ],
            "phase_rate": [
              -0.0003842311105794789,
              0.00201186021406439,
              -0.001005930107032195,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "phase_source": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "pressure": [
              0.0006510416666666557,
              -0.001953125,
              0.0009765625,
              0.0,
              1.9490859162596877e-17,
              -1.0920504979011382e-17,
              0.0,
              0.0,
              0.0,
              1.9490859162596877e-17
            ],
            "regional_transport": {
              "left": {
                "internal_dissipation": {
                  "denominator": 65536,
                  "numerator": 1
                },
                "mass_boundary_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mass_defect_rate": {
                  "denominator": 162259276829213363391578010288128,
                  "numerator": 977120867503569
                },
                "mass_forcing_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mass_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mean": {
                  "denominator": 1408,
                  "numerator": 1
                },
                "outward_cut_current": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance": {
                  "denominator": 720896,
                  "numerator": 9
                },
                "variance_boundary_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance_defect_rate": {
                  "denominator": 228461061775532415655341838485684224,
                  "numerator": -977120867503569
                },
                "variance_forcing_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                }
              },
              "right": {
                "internal_dissipation": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mass_boundary_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mass_defect_rate": {
                  "denominator": 649037107316853453566312041152512,
                  "numerator": 4037142813973603
                },
                "mass_forcing_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mass_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mean": {
                  "denominator": 1,
                  "numerator": 0
                },
                "outward_cut_current": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance_boundary_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance_defect_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance_forcing_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                }
              }
            },
            "regions": {
              "left": {
                "centered_distance": 0.0034938562148434217,
                "centered_state": [
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 320,
                    "numerator": 1
                  },
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  }
                ],
                "chi_form": {
                  "denominator": 1024,
                  "numerator": -1
                },
                "chi_phase": {
                  "denominator": 1,
                  "numerator": 0
                },
                "form_mean": {
                  "denominator": 1280,
                  "numerator": 1
                },
                "phase_error_mean": {
                  "denominator": 1,
                  "numerator": 0
                }
              },
              "right": {
                "centered_distance": 0.0,
                "centered_state": [
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  }
                ],
                "chi_form": {
                  "denominator": 1,
                  "numerator": 0
                },
                "chi_phase": {
                  "denominator": 1,
                  "numerator": 0
                },
                "form_mean": {
                  "denominator": 1,
                  "numerator": 0
                },
                "phase_error_mean": {
                  "denominator": 1,
                  "numerator": 0
                }
              }
            },
            "storage": {
              "denominator": 5070602400912917605986812821504,
              "numerator": 35037078244376612709683356420389
            },
            "time": 0.0
          },
          "128": {
            "balance_residual": {
              "denominator": 2353913150770005286438421033702874906038383291674012942336,
              "numerator": -30841542253519325780789353415968459343
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              2.0090582581921912e-05,
              0.003845674213913344,
              3.0201142964285807e-05,
              7.897070214897137e-08,
              6.344588357917315e-08,
              3.388497047255507e-08,
              6.18829099774905e-11,
              6.378512786504096e-14,
              6.378851171272542e-14,
              6.188290396807294e-11
            ],
            "form_rate": [
              0.0006346828046244919,
              -0.001923564654976756,
              0.0009562022848614115,
              5.076589139094959e-06,
              4.073041377886352e-06,
              2.173472974174083e-06,
              6.014329766120119e-09,
              8.34353887381808e-12,
              8.343835219297844e-12,
              6.014329169199352e-09
            ],
            "nodes": [
              0,
              1,
              2,
              3,
              4,
              5,
              6,
              7,
              8,
              9
            ],
            "phase": [
              -1.1822622888072782e-05,
              1.2566992446991936,
              2.513243173267703,
              3.7699110635555035,
              5.02654816532145,
              -3.066470195864258e-08,
              1.256637061346434,
              2.5132741228717137,
              3.769911184307631,
              5.0265482456541895
            ],
            "phase_rate": [
              -0.00037236736645004703,
              0.00196765254818967,
              -0.0009747029497318528,
              -7.753375177989101e-06,
              -5.161255320803283e-06,
              -1.9661863508483405e-06,
              -8.69413836177369e-09,
              -1.5919544906006036e-11,
              -1.5919540739887794e-11,
              -8.694137545223269e-09
            ],
            "phase_source": [
              7.532343575105195e-06,
              -2.6600958813264017e-05,
              1.9729120379373343e-05,
              -4.900145443559491e-06,
              -1.8752480027138253e-06,
              -2.316071197084203e-06,
              -4.851974678710199e-09,
              -1.4222507363486145e-11,
              -1.4221878374004097e-11,
              -4.851975879035464e-09
            ],
            "pressure": [
              0.0006346828046244919,
              -0.001923564654976756,
              0.0009562022848614115,
              5.076589139094959e-06,
              4.073041377886352e-06,
              2.173472974174083e-06,
              6.014329766120119e-09,
              8.34353887381808e-12,
              8.343835219297844e-12,
              6.014329169199352e-09
            ],
            "regional_transport": {
              "left": {
                "internal_dissipation": {
                  "denominator": 1427247692705959881058285969449495136382746624,
                  "numerator": 20833701063978578850769651022751571570663
                },
                "mass_boundary_rate": {
                  "denominator": 302231454903657293676544,
                  "numerator": -3030882449835523659
                },
                "mass_defect_rate": {
                  "denominator": 302231454903657293676544,
                  "numerator": -5910325
                },
                "mass_forcing_rate": {
                  "denominator": 2361183241434822606848,
                  "numerator": -5545750080016793
                },
                "mass_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mean": {
                  "denominator": 207784125246264389402624,
                  "numerator": 147570312488957438537
                },
                "outward_cut_current": {
                  "denominator": 151115727451828646838272,
                  "numerator": 3030882449835523659
                },
                "variance": {
                  "denominator": 15699724619765558691641145663944446500210212864,
                  "numerator": 188656357969819894809797783057779559123877
                },
                "variance_boundary_rate": {
                  "denominator": 62798898479062234766564582655777786000840851456,
                  "numerator": 434615838942802797730877863606456441827
                },
                "variance_defect_rate": {
                  "denominator": 62798898479062234766564582655777786000840851456,
                  "numerator": -1047896552867455066053728751
                },
                "variance_forcing_rate": {
                  "denominator": 981232788735347418227571603996527906263138304,
                  "numerator": -97935088430180134303828555628705821057
                },
                "variance_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                }
              },
              "right": {
                "internal_dissipation": {
                  "denominator": 392318858461667547739736838950479151006397215279002157056,
                  "numerator": 448814764734542792760536491128248919180789
                },
                "mass_boundary_rate": {
                  "denominator": 302231454903657293676544,
                  "numerator": 3030882449835523659
                },
                "mass_defect_rate": {
                  "denominator": 309485009821345068724781056,
                  "numerator": -4276037823
                },
                "mass_forcing_rate": {
                  "denominator": 309485009821345068724781056,
                  "numerator": -1078196006109477526287
                },
                "mass_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mean": {
                  "denominator": 108938723457113464191122931712,
                  "numerator": 1009195441633000091761
                },
                "outward_cut_current": {
                  "denominator": 151115727451828646838272,
                  "numerator": -3030882449835523659
                },
                "variance": {
                  "denominator": 4315507443078343025137105228455270661070369368069023727616,
                  "numerator": 5395623833025067124259172655182753643252433
                },
                "variance_boundary_rate": {
                  "denominator": 32924708885790580941292611911432423866808848328163328,
                  "numerator": 8129402555780283955576801341876798746853
                },
                "variance_defect_rate": {
                  "denominator": 4315507443078343025137105228455270661070369368069023727616,
                  "numerator": -993844838894243672321224971826937
                },
                "variance_forcing_rate": {
                  "denominator": 8428725474762388720970908649326700509903065172009811968,
                  "numerator": -720207052948378837485256684145635364800273
                },
                "variance_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                }
              }
            },
            "regions": {
              "left": {
                "centered_distance": 0.0034292104738388135,
                "centered_state": [
                  {
                    "denominator": 188894659314785808547840,
                    "numerator": -143395808361484958153
                  },
                  {
                    "denominator": 188894659314785808547840,
                    "numerator": 579236508359085160247
                  },
                  {
                    "denominator": 188894659314785808547840,
                    "numerator": -141485977502576759753
                  },
                  {
                    "denominator": 188894659314785808547840,
                    "numerator": -147175894969854388223
                  },
                  {
                    "denominator": 94447329657392904273920,
                    "numerator": -73589413762584527059
                  },
                  {
                    "denominator": 46116860184273879040,
                    "numerator": -722401948801159
                  },
                  {
                    "denominator": 184467440737095516160,
                    "numerator": 10762068625025159
                  },
                  {
                    "denominator": 184467440737095516160,
                    "numerator": -6417913074210681
                  },
                  {
                    "denominator": 184467440737095516160,
                    "numerator": -730993666430841
                  },
                  {
                    "denominator": 184467440737095516160,
                    "numerator": -723554089179001
                  }
                ],
                "chi_form": {
                  "denominator": 151115727451828646838272,
                  "numerator": -143395808361484958153
                },
                "chi_phase": {
                  "denominator": 36893488147419103232,
                  "numerator": -722401948801159
                },
                "form_mean": {
                  "denominator": 188894659314785808547840,
                  "numerator": 147190812113732667593
                },
                "phase_error_mean": {
                  "denominator": 184467440737095516160,
                  "numerator": 708718808242041
                }
              },
              "right": {
                "centered_distance": 4.082828635335427e-08,
                "centered_state": [
                  {
                    "denominator": 99035203142830421991929937920,
                    "numerator": 2682189986029131796367
                  },
                  {
                    "denominator": 99035203142830421991929937920,
                    "numerator": -667486361648479660913
                  },
                  {
                    "denominator": 773712524553362671811952640,
                    "numerator": -5262567431531830581
                  },
                  {
                    "denominator": 99035203142830421991929937920,
                    "numerator": -673608630900954271533
                  },
                  {
                    "denominator": 99035203142830421991929937920,
                    "numerator": -667486362243623549553
                  },
                  {
                    "denominator": 47223664828696452136960,
                    "numerator": -1156787147914567
                  },
                  {
                    "denominator": 188894659314785808547840,
                    "numerator": 1148346918518087
                  },
                  {
                    "denominator": 188894659314785808547840,
                    "numerator": 1165227020795207
                  },
                  {
                    "denominator": 188894659314785808547840,
                    "numerator": 1165227020795207
                  },
                  {
                    "denominator": 188894659314785808547840,
                    "numerator": 1148347631549767
                  }
                ],
                "chi_form": {
                  "denominator": 79228162514264337593543950336,
                  "numerator": 2682189986029131796367
                },
                "chi_phase": {
                  "denominator": 37778931862957161709568,
                  "numerator": -1156787147914567
                },
                "form_mean": {
                  "denominator": 99035203142830421991929937920,
                  "numerator": 673614948209169920113
                },
                "phase_error_mean": {
                  "denominator": 188894659314785808547840,
                  "numerator": -1165249837808967
                }
              }
            },
            "storage": {
              "denominator": 392318858461667547739736838950479151006397215279002157056,
              "numerator": 2710862367586408113217662770099504721743459694483471123957
            },
            "time": 0.03125
          },
          "256": {
            "balance_residual": {
              "denominator": 36779892980781332600600328651607420406849738932406452224,
              "numerator": 5279984793782493101789078415355674133
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              3.9675035681642085e-05,
              0.003786015678691118,
              5.977072823926117e-05,
              3.1498972761979064e-07,
              2.523912250471046e-07,
              1.3457038090159415e-07,
              4.95863279890504e-10,
              1.0366349652331144e-12,
              1.036653653827061e-12,
              4.958632433286492e-10
            ],
            "form_rate": [
              0.0006186509549290457,
              -0.0018944233045432742,
              0.0009361446157896457,
              1.0050439364407765e-05,
              8.03151295281224e-06,
              4.274962799704889e-06,
              2.3824845179217696e-08,
              6.685615930511473e-11,
              6.68569136171277e-11,
              2.382484364723292e-08
            ],
            "nodes": [
              0,
              1,
              2,
              3,
              4,
              5,
              6,
              7,
              8,
              9
            ],
            "phase": [
              -2.3278506567664602e-05,
              1.2567600584373047,
              2.513213190039546,
              3.769910703781943,
              5.026547926017904,
              -1.216919260002669e-07,
              1.2566370607195374,
              2.513274122869859,
              3.7699111843057764,
              5.026548245027299
            ],
            "phase_rate": [
              -0.0003607610087495564,
              0.0019242146117119045,
              -0.000944085234364763,
              -1.5296235757822807e-05,
              -1.0167808325987245e-05,
              -3.86294929796691e-06,
              -3.4399195649096914e-08,
              -1.27426826045106e-10,
              -1.2742680191163948e-10,
              -3.439918278944728e-08
            ],
            "phase_source": [
              1.4842732107378884e-05,
              -5.255381235593082e-05,
              3.889462560916114e-05,
              -9.595691275665012e-06,
              -3.679595573977614e-06,
              -4.5408464890718235e-06,
              -1.9140155148625253e-08,
              -1.1370103555736989e-10,
              -1.1369943425319789e-10,
              -1.9140158272684482e-08
            ],
            "pressure": [
              0.0006186509549290457,
              -0.0018944233045432742,
              0.0009361446157896457,
              1.0050439364407765e-05,
              8.03151295281224e-06,
              4.274962799704889e-06,
              2.3824845179217696e-08,
              6.685615930511473e-11,
              6.68569136171277e-11,
              2.382484364723292e-08
            ],
            "regional_transport": {
              "left": {
                "internal_dissipation": {
                  "denominator": 356811923176489970264571492362373784095686656,
                  "numerator": 4981996963677566288685661423518281259875
                },
                "mass_boundary_rate": {
                  "denominator": 75557863725914323419136,
                  "numerator": -1493796544426296947
                },
                "mass_defect_rate": {
                  "denominator": 75557863725914323419136,
                  "numerator": 2589651
                },
                "mass_forcing_rate": {
                  "denominator": 2361183241434822606848,
                  "numerator": -11027612209143067
                },
                "mass_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mean": {
                  "denominator": 103892062623132194701312,
                  "numerator": 73779729188888250411
                },
                "outward_cut_current": {
                  "denominator": 37778931862957161709568,
                  "numerator": 1493796544426296947
                },
                "variance": {
                  "denominator": 3924931154941389672910286415986111625052553216,
                  "numerator": 45396021589462658304354136827326062011829
                },
                "variance_boundary_rate": {
                  "denominator": 7849862309882779345820572831972223250105106432,
                  "numerator": 104054592729261836070528874788608003345
                },
                "variance_defect_rate": {
                  "denominator": 7849862309882779345820572831972223250105106432,
                  "numerator": 1265766029873404797229129393
                },
                "variance_forcing_rate": {
                  "denominator": 122654098591918427278446450499565988282892288,
                  "numerator": -23604623981086862565569735118108379869
                },
                "variance_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                }
              },
              "right": {
                "internal_dissipation": {
                  "denominator": 6129982163463555433433388108601236734474956488734408704,
                  "numerator": 110193914916521788802664397980998892249691
                },
                "mass_boundary_rate": {
                  "denominator": 75557863725914323419136,
                  "numerator": 1493796544426296947
                },
                "mass_defect_rate": {
                  "denominator": 77371252455336267181195264,
                  "numerator": 3251362663
                },
                "mass_forcing_rate": {
                  "denominator": 77371252455336267181195264,
                  "numerator": -529975860153302816537
                },
                "mass_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mean": {
                  "denominator": 13617340432139183023890366464,
                  "numerator": 502230717016121737995
                },
                "outward_cut_current": {
                  "denominator": 37778931862957161709568,
                  "numerator": -1493796544426296947
                },
                "variance": {
                  "denominator": 67429803798099109767767269194613604079224521376078495744,
                  "numerator": 1327210204852492702148158406271164242268517
                },
                "variance_boundary_rate": {
                  "denominator": 1028897152680955654415394122232263245837776510255104,
                  "numerator": 1987137749068731482241925002430641283087
                },
                "variance_defect_rate": {
                  "denominator": 67429803798099109767767269194613604079224521376078495744,
                  "numerator": -174094163118791274263692478872311
                },
                "variance_forcing_rate": {
                  "denominator": 2107181368690597180242727162331675127475766293002452992,
                  "numerator": -1399131935101676533946604973102929610013915
                },
                "variance_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                }
              }
            },
            "regions": {
              "left": {
                "centered_distance": 0.0033671816468999476,
                "centered_state": [
                  {
                    "denominator": 18889465931478580854784,
                    "numerator": -13931561579455217327
                  },
                  {
                    "denominator": 18889465931478580854784,
                    "numerator": 56834812364385835217
                  },
                  {
                    "denominator": 18889465931478580854784,
                    "numerator": -13551964679518603951
                  },
                  {
                    "denominator": 9444732965739290427392,
                    "numerator": -7337525913282576403
                  },
                  {
                    "denominator": 18889465931478580854784,
                    "numerator": -14676234278846861133
                  },
                  {
                    "denominator": 184467440737095516160,
                    "numerator": -5695540839641119
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": 85150111021395999
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": -50566151752323041
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": -5960222700408801
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": -5841573210099681
                  }
                ],
                "chi_form": {
                  "denominator": 75557863725914323419136,
                  "numerator": -69657807897276086635
                },
                "chi_phase": {
                  "denominator": 147573952589676412928,
                  "numerator": -5695540839641119
                },
                "form_mean": {
                  "denominator": 18889465931478580854784,
                  "numerator": 14681001814293792559
                },
                "phase_error_mean": {
                  "denominator": 737869762948382064640,
                  "numerator": 5605657235689441
                }
              },
              "right": {
                "centered_distance": 1.6190110954982006e-07,
                "centered_state": [
                  {
                    "denominator": 12379400392853802748991242240,
                    "numerator": 1330259971803526757621
                  },
                  {
                    "denominator": 12379400392853802748991242240,
                    "numerator": -329502164314275411979
                  },
                  {
                    "denominator": 6189700196426901374495621120,
                    "numerator": -167813910738428920067
                  },
                  {
                    "denominator": 12379400392853802748991242240,
                    "numerator": -335627821245504252889
                  },
                  {
                    "denominator": 12379400392853802748991242240,
                    "numerator": -329502164766889252619
                  },
                  {
                    "denominator": 2361183241434822606848,
                    "numerator": -229191086385943
                  },
                  {
                    "denominator": 9444732965739290427392,
                    "numerator": 225817383283479
                  },
                  {
                    "denominator": 9444732965739290427392,
                    "numerator": 232564743351063
                  },
                  {
                    "denominator": 9444732965739290427392,
                    "numerator": 232564743351063
                  },
                  {
                    "denominator": 9444732965739290427392,
                    "numerator": 225817475558167
                  }
                ],
                "chi_form": {
                  "denominator": 9903520314283042199192993792,
                  "numerator": 1330259971803526757621
                },
                "chi_phase": {
                  "denominator": 9444732965739290427392,
                  "numerator": -1145955431929715
                },
                "form_mean": {
                  "denominator": 12379400392853802748991242240,
                  "numerator": 335640654396153692939
                },
                "phase_error_mean": {
                  "denominator": 9444732965739290427392,
                  "numerator": -232583399615255
                }
              }
            },
            "storage": {
              "denominator": 6129982163463555433433388108601236734474956488734408704,
              "numerator": 42357220650142327150662780073626613133795744216371159643
            },
            "time": 0.0625
          }
        },
        "dt": 0.000244140625,
        "maximum_actual_balance_residual": {
          "denominator": 588478287692501321609605258425718726509595822918503235584,
          "numerator": 315177915074918545129805645687756217161
        },
        "maximum_clock_defect": {
          "denominator": 1,
          "numerator": 0
        },
        "maximum_disconnected_right_drift": null,
        "maximum_energy_step_defect": {
          "denominator": 509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344,
          "numerator": 338222917504649658719037777634515772941552759060676201693772895968611983283089
        },
        "minimum_acute_margin": 0.3140129898510242,
        "observed_state_count": 257,
        "steps": 256,
        "winding_preserved": true
      },
      "64": {
        "capacity_support_and_path_held": true,
        "checkpoints": {
          "0": {
            "balance_residual": {
              "denominator": 442721857769029238784,
              "numerator": 19
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              0.0,
              0.00390625,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "form_rate": [
              0.0006510416666666557,
              -0.001953125,
              0.0009765625,
              0.0,
              1.9490859162596877e-17,
              -1.0920504979011382e-17,
              0.0,
              0.0,
              0.0,
              1.9490859162596877e-17
            ],
            "nodes": [
              0,
              1,
              2,
              3,
              4,
              5,
              6,
              7,
              8,
              9
            ],
            "phase": [
              0.0,
              1.2566370614359172,
              2.5132741228718345,
              3.7699111843077517,
              5.026548245743669,
              0.0,
              1.2566370614359172,
              2.5132741228718345,
              3.7699111843077517,
              5.026548245743669
            ],
            "phase_rate": [
              -0.0003842311105794789,
              0.00201186021406439,
              -0.001005930107032195,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "phase_source": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "pressure": [
              0.0006510416666666557,
              -0.001953125,
              0.0009765625,
              0.0,
              1.9490859162596877e-17,
              -1.0920504979011382e-17,
              0.0,
              0.0,
              0.0,
              1.9490859162596877e-17
            ],
            "regional_transport": {
              "left": {
                "internal_dissipation": {
                  "denominator": 65536,
                  "numerator": 1
                },
                "mass_boundary_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mass_defect_rate": {
                  "denominator": 162259276829213363391578010288128,
                  "numerator": 977120867503569
                },
                "mass_forcing_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mass_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mean": {
                  "denominator": 1408,
                  "numerator": 1
                },
                "outward_cut_current": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance": {
                  "denominator": 720896,
                  "numerator": 9
                },
                "variance_boundary_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance_defect_rate": {
                  "denominator": 228461061775532415655341838485684224,
                  "numerator": -977120867503569
                },
                "variance_forcing_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                }
              },
              "right": {
                "internal_dissipation": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mass_boundary_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mass_defect_rate": {
                  "denominator": 649037107316853453566312041152512,
                  "numerator": 4037142813973603
                },
                "mass_forcing_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mass_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mean": {
                  "denominator": 1,
                  "numerator": 0
                },
                "outward_cut_current": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance_boundary_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance_defect_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance_forcing_rate": {
                  "denominator": 1,
                  "numerator": 0
                },
                "variance_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                }
              }
            },
            "regions": {
              "left": {
                "centered_distance": 0.0034938562148434217,
                "centered_state": [
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 320,
                    "numerator": 1
                  },
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  }
                ],
                "chi_form": {
                  "denominator": 1024,
                  "numerator": -1
                },
                "chi_phase": {
                  "denominator": 1,
                  "numerator": 0
                },
                "form_mean": {
                  "denominator": 1280,
                  "numerator": 1
                },
                "phase_error_mean": {
                  "denominator": 1,
                  "numerator": 0
                }
              },
              "right": {
                "centered_distance": 0.0,
                "centered_state": [
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  }
                ],
                "chi_form": {
                  "denominator": 1,
                  "numerator": 0
                },
                "chi_phase": {
                  "denominator": 1,
                  "numerator": 0
                },
                "form_mean": {
                  "denominator": 1,
                  "numerator": 0
                },
                "phase_error_mean": {
                  "denominator": 1,
                  "numerator": 0
                }
              }
            },
            "storage": {
              "denominator": 5070602400912917605986812821504,
              "numerator": 35037078244376612709683356420389
            },
            "time": 0.0
          },
          "32": {
            "balance_residual": {
              "denominator": 150650441649280338332058946156983993986456530667136828309504,
              "numerator": 18038798366413116110253268789204373371537
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              2.0096515739326027e-05,
              0.0038456634622593736,
              3.0208545944182443e-05,
              7.712963476904834e-08,
              6.197450822468576e-08,
              3.310173031121531e-08,
              5.758522458917457e-11,
              5.508619411488752e-14,
              5.5086489824429214e-14,
              5.7585224639156786e-11
            ],
            "form_rate": [
              0.0006346789687350667,
              -0.001923559743931543,
              0.0009561987388985808,
              5.077793252728917e-06,
              4.074384486721052e-06,
              2.1743168755118493e-06,
              5.876002744278897e-09,
              7.764153775531336e-12,
              7.764082887251811e-12,
              5.876002921025315e-09
            ],
            "nodes": [
              0,
              1,
              2,
              3,
              4,
              5,
              6,
              7,
              8,
              9
            ],
            "phase": [
              -1.1826922021635397e-05,
              1.2566992607535235,
              2.513243161938165,
              3.7699110663577104,
              5.026548167184287,
              -2.995692179652405e-08,
              1.2566370613526434,
              2.5132741228717297,
              3.769911184307647,
              5.026548245660394
            ],
            "phase_rate": [
              -0.0003723643392952005,
              0.0019676435553804173,
              -0.0009746958748773645,
              -7.755851165008316e-06,
              -5.16306683063331e-06,
              -1.967000235459791e-06,
              -8.494651042602226e-09,
              -1.4815052436016414e-11,
              -1.4815052216643853e-11,
              -8.494650259466216e-09
            ],
            "phase_source": [
              7.534940376830508e-06,
              -2.660855644548983e-05,
              1.973572779428116e-05,
              -4.902544085937461e-06,
              -1.8760792054127164e-06,
              -2.3171414885975995e-06,
              -4.741301969691923e-09,
              -1.3236772613071975e-11,
              -1.323688697069659e-11,
              -4.741301646916281e-09
            ],
            "pressure": [
              0.0006346789687350667,
              -0.001923559743931543,
              0.0009561987388985808,
              5.077793252728917e-06,
              4.074384486721052e-06,
              2.1743168755118493e-06,
              5.876002744278897e-09,
              7.764153775531336e-12,
              7.764082887251811e-12,
              5.876002921025315e-09
            ],
            "regional_transport": {
              "left": {
                "internal_dissipation": {
                  "denominator": 5708990770823839524233143877797980545530986496,
                  "numerator": 83334046840985426164330771736181267081847
                },
                "mass_boundary_rate": {
                  "denominator": 75557863725914323419136,
                  "numerator": -757974350784870773
                },
                "mass_defect_rate": {
                  "denominator": 75557863725914323419136,
                  "numerator": -275691
                },
                "mass_forcing_rate": {
                  "denominator": 2361183241434822606848,
                  "numerator": -5546517133548633
                },
                "mass_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mean": {
                  "denominator": 415568250492528778805248,
                  "numerator": 295140794123206733765
                },
                "outward_cut_current": {
                  "denominator": 37778931862957161709568,
                  "numerator": 757974350784870773
                },
                "variance": {
                  "denominator": 62798898479062234766564582655777786000840851456,
                  "numerator": 754620089577843428914990181741190649529533
                },
                "variance_boundary_rate": {
                  "denominator": 31399449239531117383282291327888893000420425728,
                  "numerator": 217378948818234432891051746657917657865
                },
                "variance_defect_rate": {
                  "denominator": 62798898479062234766564582655777786000840851456,
                  "numerator": 5774561348572914280211050443
                },
                "variance_forcing_rate": {
                  "denominator": 89202980794122492566142873090593446023921664,
                  "numerator": -8905705180008458469887752993221578079
                },
                "variance_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                }
              },
              "right": {
                "internal_dissipation": {
                  "denominator": 25108406941546723055343157692830665664409421777856138051584,
                  "numerator": 27416342436764084772392119965304831446236113
                },
                "mass_boundary_rate": {
                  "denominator": 75557863725914323419136,
                  "numerator": 757974350784870773
                },
                "mass_defect_rate": {
                  "denominator": 154742504910672534362390528,
                  "numerator": 722187801
                },
                "mass_forcing_rate": {
                  "denominator": 38685626227668133590597632,
                  "numerator": -134827968926040689475
                },
                "mass_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mean": {
                  "denominator": 871509787656907713528983453696,
                  "numerator": 7886034749496171168453
                },
                "outward_cut_current": {
                  "denominator": 37778931862957161709568,
                  "numerator": -757974350784870773
                },
                "variance": {
                  "denominator": 276192476357013953608774734621137322308503639556417518567424,
                  "numerator": 329569058739065151451302083994068494536288081
                },
                "variance_boundary_rate": {
                  "denominator": 65849417771581161882585223822864847733617696656326656,
                  "numerator": 15888997311153342319153140532401199341303
                },
                "variance_defect_rate": {
                  "denominator": 276192476357013953608774734621137322308503639556417518567424,
                  "numerator": 90185561093701034874289581235063035
                },
                "variance_forcing_rate": {
                  "denominator": 98079714615416886934934209737619787751599303819750539264,
                  "numerator": -8191215287790080251333564683397985352437245
                },
                "variance_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                }
              }
            },
            "regions": {
              "left": {
                "centered_distance": 0.003429199084163312,
                "centered_state": [
                  {
                    "denominator": 75557863725914323419136,
                    "numerator": -57357864047283889601
                  },
                  {
                    "denominator": 75557863725914323419136,
                    "numerator": 231693801972240033855
                  },
                  {
                    "denominator": 75557863725914323419136,
                    "numerator": -56593820647073019073
                  },
                  {
                    "denominator": 75557863725914323419136,
                    "numerator": -58870486094448468623
                  },
                  {
                    "denominator": 37778931862957161709568,
                    "numerator": -29435815591717328279
                  },
                  {
                    "denominator": 92233720368547758080,
                    "numerator": -1445294329570543
                  },
                  {
                    "denominator": 368934881474191032320,
                    "numerator": 21529684624794863
                  },
                  {
                    "denominator": 368934881474191032320,
                    "numerator": -12840381637630737
                  },
                  {
                    "denominator": 368934881474191032320,
                    "numerator": -1461329128528657
                  },
                  {
                    "denominator": 368934881474191032320,
                    "numerator": -1446796540353297
                  }
                ],
                "chi_form": {
                  "denominator": 302231454903657293676544,
                  "numerator": -286789320236419448005
                },
                "chi_phase": {
                  "denominator": 73786976294838206464,
                  "numerator": -1445294329570543
                },
                "form_mean": {
                  "denominator": 75557863725914323419136,
                  "numerator": 58876313844881577921
                },
                "phase_error_mean": {
                  "denominator": 368934881474191032320,
                  "numerator": 1417813244025617
                }
              },
              "right": {
                "centered_distance": 3.9887354293671225e-08,
                "centered_state": [
                  {
                    "denominator": 792281625142643375935439503360,
                    "numerator": 20962447205107310263611
                  },
                  {
                    "denominator": 792281625142643375935439503360,
                    "numerator": -5217821765574139336389
                  },
                  {
                    "denominator": 792281625142643375935439503360,
                    "numerator": -5263401837116458408429
                  },
                  {
                    "denominator": 198070406285660843983859875840,
                    "numerator": -1315850459220543293041
                  },
                  {
                    "denominator": 792281625142643375935439503360,
                    "numerator": -5217821765534539346629
                  },
                  {
                    "denominator": 188894659314785808547840,
                    "numerator": -4520662084227977
                  },
                  {
                    "denominator": 755578637259143234191360,
                    "numerator": 4489241881875337
                  },
                  {
                    "denominator": 755578637259143234191360,
                    "numerator": 4552082622124937
                  },
                  {
                    "denominator": 755578637259143234191360,
                    "numerator": 4552082622124937
                  },
                  {
                    "denominator": 755578637259143234191360,
                    "numerator": 4489241210786697
                  }
                ],
                "chi_form": {
                  "denominator": 633825300114114700748351602688,
                  "numerator": 20962447205107310263611
                },
                "chi_phase": {
                  "denominator": 151115727451828646838272,
                  "numerator": -4520662084227977
                },
                "form_mean": {
                  "denominator": 792281625142643375935439503360,
                  "numerator": 5263445480895854674629
                },
                "phase_error_mean": {
                  "denominator": 755578637259143234191360,
                  "numerator": -4552161810584457
                }
              }
            },
            "storage": {
              "denominator": 25108406941546723055343157692830665664409421777856138051584,
              "numerator": 173495191522239282639292133460288249223857408447583144000465
            },
            "time": 0.03125
          },
          "64": {
            "balance_residual": {
              "denominator": 147119571923125330402401314606429681627398955729625808896,
              "numerator": -8705234332764294451155188952204651955
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              3.9686664436746114e-05,
              0.003785994480362435,
              5.978531377147841e-05,
              3.1138252720968886e-07,
              2.495314711885605e-07,
              1.3305600874441512e-07,
              4.787966777694671e-10,
              9.654043543620065e-13,
              9.65402249510487e-13,
              4.787966833701569e-10
            ],
            "form_rate": [
              0.0006186434200576496,
              -0.0018944136105254266,
              0.0009361376021959691,
              1.005282636106893e-05,
              8.03413752715029e-06,
              4.276609278363313e-06,
              2.3559508917971268e-08,
              6.455548932034946e-11,
              6.455533327142649e-11,
              2.355950923270018e-08
            ],
            "nodes": [
              0,
              1,
              2,
              3,
              4,
              5,
              6,
              7,
              8,
              9
            ],
            "phase": [
              -2.3286917683422115e-05,
              1.2567600899872389,
              2.5132131678215117,
              3.7699107092329927,
              5.026547929631595,
              -1.2032661224227197e-07,
              1.2566370607441517,
              2.513274122869992,
              3.769911184305909,
              5.0265482450519015
            ],
            "phase_rate": [
              -0.00036075506733195694,
              0.001924196903299747,
              -0.0009440712991488415,
              -1.530111426020098e-05,
              -1.0171346557272469e-05,
              -3.86453665698252e-06,
              -3.401798882941407e-08,
              -1.2305020477510824e-10,
              -1.2305020758221857e-10,
              -3.4017976228394996e-08
            ],
            "phase_source": [
              1.4847815271247654e-05,
              -5.256872979251265e-05,
              3.890758671860573e-05,
              -9.60038737196793e-06,
              -3.6812169565088145e-06,
              -4.542932777870678e-06,
              -1.89306725689475e-08,
              -1.0980464148056469e-10,
              -1.098049843304472e-10,
              -1.893067196272807e-08
            ],
            "pressure": [
              0.0006186434200576496,
              -0.0018944136105254266,
              0.0009361376021959691,
              1.005282636106893e-05,
              8.03413752715029e-06,
              4.276609278363313e-06,
              2.3559508917971268e-08,
              6.455548932034946e-11,
              6.455533327142649e-11,
              2.355950923270018e-08
            ],
            "regional_transport": {
              "left": {
                "internal_dissipation": {
                  "denominator": 356811923176489970264571492362373784095686656,
                  "numerator": 4981906095588086364195733911102828549977
                },
                "mass_boundary_rate": {
                  "denominator": 75557863725914323419136,
                  "numerator": -1494293077735564317
                },
                "mass_defect_rate": {
                  "denominator": 75557863725914323419136,
                  "numerator": -1126851
                },
                "mass_forcing_rate": {
                  "denominator": 2361183241434822606848,
                  "numerator": -11029144759134913
                },
                "mass_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mean": {
                  "denominator": 9444732965739290427392,
                  "numerator": 6707255600985673729
                },
                "outward_cut_current": {
                  "denominator": 37778931862957161709568,
                  "numerator": 1494293077735564317
                },
                "variance": {
                  "denominator": 356811923176489970264571492362373784095686656,
                  "numerator": 4126852683820342623780993931934238786723
                },
                "variance_boundary_rate": {
                  "denominator": 713623846352979940529142984724747568191373312,
                  "numerator": 9462499818672112629077165272742778909
                },
                "variance_defect_rate": {
                  "denominator": 713623846352979940529142984724747568191373312,
                  "numerator": -40363214782197002635650043
                },
                "variance_forcing_rate": {
                  "denominator": 44601490397061246283071436545296723011960832,
                  "numerator": -8585861353429512536888408274908422423
                },
                "variance_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                }
              },
              "right": {
                "internal_dissipation": {
                  "denominator": 24519928653854221733733552434404946937899825954937634816,
                  "numerator": 430985449155420319603374447530143556678147
                },
                "mass_boundary_rate": {
                  "denominator": 75557863725914323419136,
                  "numerator": 1494293077735564317
                },
                "mass_defect_rate": {
                  "denominator": 1208925819614629174706176,
                  "numerator": -1066201
                },
                "mass_forcing_rate": {
                  "denominator": 19342813113834066795298816,
                  "numerator": -132546242346060104121
                },
                "mass_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                },
                "mean": {
                  "denominator": 27234680864278366047780732928,
                  "numerator": 993043497696949532233
                },
                "outward_cut_current": {
                  "denominator": 37778931862957161709568,
                  "numerator": -1494293077735564317
                },
                "variance": {
                  "denominator": 269719215192396439071069076778454416316898085504313982976,
                  "numerator": 5190476500773095768549955319012147734568989
                },
                "variance_boundary_rate": {
                  "denominator": 2057794305361911308830788244464526491675553020510208,
                  "numerator": 3931028487641264206626568099569601451451
                },
                "variance_defect_rate": {
                  "denominator": 269719215192396439071069076778454416316898085504313982976,
                  "numerator": -1458511262493062695964224418651679
                },
                "variance_forcing_rate": {
                  "denominator": 4214362737381194360485454324663350254951532586004905984,
                  "numerator": -2768231944443224759550355290635746262364791
                },
                "variance_identity_residual": {
                  "denominator": 1,
                  "numerator": 0
                }
              }
            },
            "regions": {
              "left": {
                "centered_distance": 0.0033671601313707937,
                "centered_state": [
                  {
                    "denominator": 94447329657392904273920,
                    "numerator": -69656682183876750347
                  },
                  {
                    "denominator": 94447329657392904273920,
                    "numerator": 284172087104924417013
                  },
                  {
                    "denominator": 94447329657392904273920,
                    "numerator": -67758418424490948747
                  },
                  {
                    "denominator": 94447329657392904273920,
                    "numerator": -73375572414739516267
                  },
                  {
                    "denominator": 23611832414348226068480,
                    "numerator": -18345353520454300413
                  },
                  {
                    "denominator": 73786976294838206464,
                    "numerator": -2278984326993245
                  },
                  {
                    "denominator": 295147905179352825856,
                    "numerator": 34068766864201053
                  },
                  {
                    "denominator": 295147905179352825856,
                    "numerator": -20233607748496035
                  },
                  {
                    "denominator": 295147905179352825856,
                    "numerator": -2383069655575203
                  },
                  {
                    "denominator": 295147905179352825856,
                    "numerator": -2336152152156835
                  }
                ],
                "chi_form": {
                  "denominator": 75557863725914323419136,
                  "numerator": -69656682183876750347
                },
                "chi_phase": {
                  "denominator": 295147905179352825856,
                  "numerator": -11394921634966225
                },
                "form_mean": {
                  "denominator": 94447329657392904273920,
                  "numerator": 73404981662936441867
                },
                "phase_error_mean": {
                  "denominator": 295147905179352825856,
                  "numerator": 2242852335626915
                }
              },
              "right": {
                "centered_distance": 1.600903705636205e-07,
                "centered_state": [
                  {
                    "denominator": 24758800785707605497982484480,
                    "numerator": 2630694437531827800503
                  },
                  {
                    "denominator": 24758800785707605497982484480,
                    "numerator": -651758344750762356297
                  },
                  {
                    "denominator": 24758800785707605497982484480,
                    "numerator": -663588874058427925667
                  },
                  {
                    "denominator": 12379400392853802748991242240,
                    "numerator": -331794437055270762561
                  },
                  {
                    "denominator": 24758800785707605497982484480,
                    "numerator": -651758344612095993417
                  },
                  {
                    "denominator": 2361183241434822606848,
                    "numerator": -226635449025503
                  },
                  {
                    "denominator": 9444732965739290427392,
                    "numerator": 223377384457183
                  },
                  {
                    "denominator": 9444732965739290427392,
                    "numerator": 229893523031007
                  },
                  {
                    "denominator": 9444732965739290427392,
                    "numerator": 229893523031007
                  },
                  {
                    "denominator": 9444732965739290427392,
                    "numerator": 223377365582815
                  }
                ],
                "chi_form": {
                  "denominator": 19807040628566084398385987584,
                  "numerator": 2630694437531827800503
                },
                "chi_phase": {
                  "denominator": 9444732965739290427392,
                  "numerator": -1133177245127515
                },
                "form_mean": {
                  "denominator": 24758800785707605497982484480,
                  "numerator": 663612776312515229257
                },
                "phase_error_mean": {
                  "denominator": 9444732965739290427392,
                  "numerator": -229910925198303
                }
              }
            },
            "storage": {
              "denominator": 24519928653854221733733552434404946937899825954937634816,
              "numerator": 169428882594477203542297554022493027921225194236906942979
            },
            "time": 0.0625
          }
        },
        "dt": 0.0009765625,
        "maximum_actual_balance_residual": {
          "denominator": 2468256835981809063232453773836025757474103798450369795022913536,
          "numerator": 1297031168816604998799945678947493109371176317
        },
        "maximum_clock_defect": {
          "denominator": 1,
          "numerator": 0
        },
        "maximum_disconnected_right_drift": null,
        "maximum_energy_step_defect": {
          "denominator": 883423532389192164791648750371459257913741948437809479060803100646309888,
          "numerator": 9376748035248260445198638976373355486796953416755729340100839
        },
        "minimum_acute_margin": 0.3140129498899742,
        "observed_state_count": 65,
        "steps": 64,
        "winding_preserved": true
      }
    },
    "left": {
      "128": {
        "capacity_support_and_path_held": true,
        "checkpoints": {
          "0": {
            "balance_residual": {
              "denominator": 590295810358705651712,
              "numerator": 45
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              0.0,
              0.00390625,
              0.0,
              0.0,
              0.0
            ],
            "form_rate": [
              0.0009765624999999805,
              -0.001953125,
              0.0009765625,
              0.0,
              1.9490859162596877e-17
            ],
            "nodes": [
              0,
              1,
              2,
              3,
              4
            ],
            "phase": [
              0.0,
              1.2566370614359172,
              2.5132741228718345,
              3.7699111843077517,
              5.026548245743669
            ],
            "phase_rate": [
              -0.001005930107032195,
              0.00201186021406439,
              -0.001005930107032195,
              0.0,
              0.0
            ],
            "phase_source": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "pressure": [
              0.0009765624999999805,
              -0.001953125,
              0.0009765625,
              0.0,
              1.9490859162596877e-17
            ],
            "regions": {
              "left": {
                "centered_distance": 0.0034938562148434217,
                "centered_state": [
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 320,
                    "numerator": 1
                  },
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  }
                ],
                "chi_form": {
                  "denominator": 1024,
                  "numerator": -1
                },
                "chi_phase": {
                  "denominator": 1,
                  "numerator": 0
                },
                "form_mean": {
                  "denominator": 1280,
                  "numerator": 1
                },
                "phase_error_mean": {
                  "denominator": 1,
                  "numerator": 0
                }
              }
            },
            "storage": {
              "denominator": 10141204801825835211973625643008,
              "numerator": 35037155615629068045950537615653
            },
            "time": 0.0
          },
          "128": {
            "balance_residual": {
              "denominator": 356811923176489970264571492362373784095686656,
              "numerator": -88926340306362441076689227
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              5.977568927287887e-05,
              0.003786070989274142,
              5.9775651733172316e-05,
              3.1384424580350573e-07,
              3.138254740034709e-07
            ],
            "form_rate": [
              0.0009361471941200365,
              -0.0018923998397660754,
              0.0009361453937853494,
              1.0054076045268585e-05,
              1.0053175815393855e-05
            ],
            "nodes": [
              0,
              1,
              2,
              3,
              4
            ],
            "phase": [
              -6.0951999562535904e-05,
              1.2567599120211315,
              2.513213182301886,
              3.7699107052699192,
              5.026547766765124
            ],
            "phase_rate": [
              -0.0009444552539279792,
              0.0019191770807692086,
              -0.0009440968597432013,
              -1.531391212097171e-05,
              -1.5311086647396977e-05
            ],
            "phase_source": [
              3.88776701388795e-05,
              -5.8504360760984014e-05,
              3.887402254386333e-05,
              -9.622742267249822e-06,
              -9.624589654509e-06
            ],
            "pressure": [
              0.0009361471941200365,
              -0.0018923998397660754,
              0.0009361453937853494,
              1.0054076045268585e-05,
              1.0053175815393855e-05
            ],
            "regions": {
              "left": {
                "centered_distance": 0.003363367926108826,
                "centered_state": [
                  {
                    "denominator": 2951479051793528258560,
                    "numerator": -2129416314518273001
                  },
                  {
                    "denominator": 2951479051793528258560,
                    "numerator": 8868666204232136299
                  },
                  {
                    "denominator": 2951479051793528258560,
                    "numerator": -2129416425315930501
                  },
                  {
                    "denominator": 94447329657392904273920,
                    "numerator": -73757334543893731677
                  },
                  {
                    "denominator": 94447329657392904273920,
                    "numerator": -73757336316840117827
                  },
                  {
                    "denominator": 184467440737095516160,
                    "numerator": -11243659342236003
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": 90647732289579363
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": -44966203802375837
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": -353467432425117
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": -353423685834397
                  }
                ],
                "chi_form": {
                  "denominator": 2361183241434822606848,
                  "numerator": -2129416314518273001
                },
                "chi_phase": {
                  "denominator": 147573952589676412928,
                  "numerator": -11243659342236003
                },
                "form_mean": {
                  "denominator": 2951479051793528258560,
                  "numerator": 2305843009213694101
                },
                "phase_error_mean": {
                  "denominator": 737869762948382064640,
                  "numerator": -99494243
                }
              }
            },
            "storage": {
              "denominator": 356811923176489970264571492362373784095686656,
              "numerator": 1232759835418538378361184310711374433367732659
            },
            "time": 0.0625
          },
          "64": {
            "balance_residual": {
              "denominator": 11417981541647679048466287755595961091061972992,
              "numerator": 2977922397895701194314934707
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              3.020362227921722e-05,
              0.0038456860349565373,
              3.020361758393103e-05,
              7.836376414241708e-08,
              7.836141617192902e-08
            ],
            "form_rate": [
              0.0009562023013676348,
              -0.0019225592236802225,
              0.0009562018399346716,
              5.077656562471597e-06,
              5.077425815451436e-06
            ],
            "nodes": [
              0,
              1,
              2,
              3,
              4
            ],
            "phase": [
              -3.095633438600765e-05,
              1.2566992108999693,
              2.5132431694513913,
              3.7699110644493334,
              5.026548125892781
            ],
            "phase_rate": [
              -0.000974891427319065,
              0.0019651116323230852,
              -0.0009747046149245036,
              -7.758165854543028e-06,
              -7.75743265902301e-06
            ],
            "phase_source": [
              1.972602682816793e-05,
              -2.9636032335523096e-05,
              1.9725098092953256e-05,
              -4.907312610968221e-06,
              -4.907779974629864e-06
            ],
            "pressure": [
              0.0009562023013676348,
              -0.0019225592236802225,
              0.0009562018399346716,
              5.077656562471597e-06,
              5.077425815451436e-06
            ],
            "regions": {
              "left": {
                "centered_distance": 0.0034271193136573247,
                "centered_state": [
                  {
                    "denominator": 377789318629571617095680,
                    "numerator": -283737299298342395033
                  },
                  {
                    "denominator": 377789318629571617095680,
                    "numerator": 1157711201630136344167
                  },
                  {
                    "denominator": 377789318629571617095680,
                    "numerator": -283737301072171366553
                  },
                  {
                    "denominator": 94447329657392904273920,
                    "numerator": -73779575046573051467
                  },
                  {
                    "denominator": 377789318629571617095680,
                    "numerator": -295118301073330376713
                  },
                  {
                    "denominator": 184467440737095516160,
                    "numerator": -5710435775695439
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": 45858210319813199
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": -22839592992519601
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": -88439890326961
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": -88434334184881
                  }
                ],
                "chi_form": {
                  "denominator": 302231454903657293676544,
                  "numerator": -283737299298342395033
                },
                "chi_phase": {
                  "denominator": 147573952589676412928,
                  "numerator": -5710435775695439
                },
                "form_mean": {
                  "denominator": 377789318629571617095680,
                  "numerator": 295147905179352818073
                },
                "phase_error_mean": {
                  "denominator": 737869762948382064640,
                  "numerator": -12372559
                }
              }
            },
            "storage": {
              "denominator": 5708990770823839524233143877797980545530986496,
              "numerator": 19724161142650117584807207431718197509362937857
            },
            "time": 0.03125
          }
        },
        "dt": 0.00048828125,
        "maximum_actual_balance_residual": {
          "denominator": 5708990770823839524233143877797980545530986496,
          "numerator": 3174890874291004937009765777
        },
        "maximum_clock_defect": {
          "denominator": 1,
          "numerator": 0
        },
        "maximum_disconnected_right_drift": null,
        "maximum_energy_step_defect": {
          "denominator": 441711766194596082395824375185729628956870974218904739530401550323154944,
          "numerator": 1333315813661175829893997045894598466402607929312385962239137
        },
        "minimum_acute_margin": 0.31397546277420263,
        "observed_state_count": 129,
        "steps": 128,
        "winding_preserved": true
      },
      "256": {
        "capacity_support_and_path_held": true,
        "checkpoints": {
          "0": {
            "balance_residual": {
              "denominator": 590295810358705651712,
              "numerator": 45
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              0.0,
              0.00390625,
              0.0,
              0.0,
              0.0
            ],
            "form_rate": [
              0.0009765624999999805,
              -0.001953125,
              0.0009765625,
              0.0,
              1.9490859162596877e-17
            ],
            "nodes": [
              0,
              1,
              2,
              3,
              4
            ],
            "phase": [
              0.0,
              1.2566370614359172,
              2.5132741228718345,
              3.7699111843077517,
              5.026548245743669
            ],
            "phase_rate": [
              -0.001005930107032195,
              0.00201186021406439,
              -0.001005930107032195,
              0.0,
              0.0
            ],
            "phase_source": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "pressure": [
              0.0009765624999999805,
              -0.001953125,
              0.0009765625,
              0.0,
              1.9490859162596877e-17
            ],
            "regions": {
              "left": {
                "centered_distance": 0.0034938562148434217,
                "centered_state": [
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 320,
                    "numerator": 1
                  },
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  }
                ],
                "chi_form": {
                  "denominator": 1024,
                  "numerator": -1
                },
                "chi_phase": {
                  "denominator": 1,
                  "numerator": 0
                },
                "form_mean": {
                  "denominator": 1280,
                  "numerator": 1
                },
                "phase_error_mean": {
                  "denominator": 1,
                  "numerator": 0
                }
              }
            },
            "storage": {
              "denominator": 10141204801825835211973625643008,
              "numerator": 35037155615629068045950537615653
            },
            "time": 0.0
          },
          "128": {
            "balance_residual": {
              "denominator": 11417981541647679048466287755595961091061972992,
              "numerator": 3806251598118263542753143499
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              3.0201155298809292e-05,
              0.003845689741632783,
              3.0201150491575305e-05,
              7.897749029795055e-08,
              7.897508653336054e-08
            ],
            "form_rate": [
              0.0009562034931802309,
              -0.001922560811146832,
              0.0009562030282146925,
              5.0772611235666415e-06,
              5.077028628338611e-06
            ],
            "nodes": [
              0,
              1,
              2,
              3,
              4
            ],
            "phase": [
              -3.095258221546854e-05,
              1.256699205242493,
              2.513243173226155,
              3.769911063514561,
              5.026548124958093
            ],
            "phase_rate": [
              -0.0009748938036131278,
              0.001965114812076434,
              -0.0009747070050027042,
              -7.757372379755036e-06,
              -7.756639443619306e-06
            ],
            "phase_source": [
              1.9723783299725233e-05,
              -2.9633033556101517e-05,
              1.9722847359426924e-05,
              -4.9065630516171495e-06,
              -4.907034051433487e-06
            ],
            "pressure": [
              0.0009562034931802309,
              -0.001922560811146832,
              0.0009562030282146925,
              5.0772611235666415e-06,
              5.077028628338611e-06
            ],
            "regions": {
              "left": {
                "centered_distance": 0.003427123259081282,
                "centered_state": [
                  {
                    "denominator": 377789318629571617095680,
                    "numerator": -283738231297189718847
                  },
                  {
                    "denominator": 377789318629571617095680,
                    "numerator": 1157712601972829719233
                  },
                  {
                    "denominator": 377789318629571617095680,
                    "numerator": -283738233113311371327
                  },
                  {
                    "denominator": 377789318629571617095680,
                    "numerator": -295118068327106021227
                  },
                  {
                    "denominator": 47223664828696452136960,
                    "numerator": -36889758654402825979
                  },
                  {
                    "denominator": 11529215046068469760,
                    "numerator": -356858976394729
                  },
                  {
                    "denominator": 46116860184273879040,
                    "numerator": 2865877239967209
                  },
                  {
                    "denominator": 46116860184273879040,
                    "numerator": -1427300481765911
                  },
                  {
                    "denominator": 46116860184273879040,
                    "numerator": -5570601886231
                  },
                  {
                    "denominator": 46116860184273879040,
                    "numerator": -5570250736151
                  }
                ],
                "chi_form": {
                  "denominator": 302231454903657293676544,
                  "numerator": -283738231297189718847
                },
                "chi_phase": {
                  "denominator": 9223372036854775808,
                  "numerator": -356858976394729
                },
                "form_mean": {
                  "denominator": 377789318629571617095680,
                  "numerator": 295147905179352757567
                },
                "phase_error_mean": {
                  "denominator": 46116860184273879040,
                  "numerator": -794089
                }
              }
            },
            "storage": {
              "denominator": 5708990770823839524233143877797980545530986496,
              "numerator": 19724161142914410499218309151197415501988659453
            },
            "time": 0.03125
          },
          "256": {
            "balance_residual": {
              "denominator": 713623846352979940529142984724747568191373312,
              "numerator": -35246423773301013092518573
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              5.977082941363771e-05,
              0.0037860783038953538,
              5.977079143999129e-05,
              3.1504711915954954e-07,
              3.1502813185720706e-07
            ],
            "form_rate": [
              0.0009361495528220489,
              -0.0018924029832804855,
              0.0009361477459000744,
              1.005329400588485e-05,
              1.005239055249454e-05
            ],
            "nodes": [
              0,
              1,
              2,
              3,
              4
            ],
            "phase": [
              -6.0944641962771974e-05,
              1.256759900903539,
              2.513213189702414,
              3.7699107034494923,
              5.026547764945022
            ],
            "phase_rate": [
              -0.0009444599376604574,
              0.0019191833513040382,
              -0.0009441015689918935,
              -1.5312350327721827e-05,
              -1.530952585642973e-05
            ],
            "phase_source": [
              3.887326904410263e-05,
              -5.849847309243419e-05,
              3.8869607732878985e-05,
              -9.621274654958443e-06,
              -9.623129029588969e-06
            ],
            "pressure": [
              0.0009361495528220489,
              -0.0018924029832804855,
              0.0009361477459000744,
              1.005329400588485e-05,
              1.005239055249454e-05
            ],
            "regions": {
              "left": {
                "centered_distance": 0.0033633753145463686,
                "centered_state": [
                  {
                    "denominator": 94447329657392904273920,
                    "numerator": -68141781065312560423
                  },
                  {
                    "denominator": 94447329657392904273920,
                    "numerator": 283798009381869273817
                  },
                  {
                    "denominator": 94447329657392904273920,
                    "numerator": -68141784651822062503
                  },
                  {
                    "denominator": 94447329657392904273920,
                    "numerator": -73757220935717323623
                  },
                  {
                    "denominator": 23611832414348226068480,
                    "numerator": -18439305682254331817
                  },
                  {
                    "denominator": 184467440737095516160,
                    "numerator": -11242302104871507
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": 90639528953373267
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": -44960743177330093
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": -354810671340973
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": -354766685216173
                  }
                ],
                "chi_form": {
                  "denominator": 75557863725914323419136,
                  "numerator": -68141781065312560423
                },
                "chi_phase": {
                  "denominator": 147573952589676412928,
                  "numerator": -11242302104871507
                },
                "form_mean": {
                  "denominator": 94447329657392904273920,
                  "numerator": 73786976294838197543
                },
                "phase_error_mean": {
                  "denominator": 737869762948382064640,
                  "numerator": -98558547
                }
              }
            },
            "storage": {
              "denominator": 356811923176489970264571492362373784095686656,
              "numerator": 1232759835449783563389435946852751993965172017
            },
            "time": 0.0625
          }
        },
        "dt": 0.000244140625,
        "maximum_actual_balance_residual": {
          "denominator": 730750818665451459101842416358141509827966271488,
          "numerator": 486702540431728043887790962877
        },
        "maximum_clock_defect": {
          "denominator": 1,
          "numerator": 0
        },
        "maximum_disconnected_right_drift": null,
        "maximum_energy_step_defect": {
          "denominator": 1766847064778384329583297500742918515827483896875618958121606201292619776,
          "numerator": 1333777012295437585729705074640535510812659928205497181824161
        },
        "minimum_acute_margin": 0.3139754812493947,
        "observed_state_count": 257,
        "steps": 256,
        "winding_preserved": true
      },
      "64": {
        "capacity_support_and_path_held": true,
        "checkpoints": {
          "0": {
            "balance_residual": {
              "denominator": 590295810358705651712,
              "numerator": 45
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              0.0,
              0.00390625,
              0.0,
              0.0,
              0.0
            ],
            "form_rate": [
              0.0009765624999999805,
              -0.001953125,
              0.0009765625,
              0.0,
              1.9490859162596877e-17
            ],
            "nodes": [
              0,
              1,
              2,
              3,
              4
            ],
            "phase": [
              0.0,
              1.2566370614359172,
              2.5132741228718345,
              3.7699111843077517,
              5.026548245743669
            ],
            "phase_rate": [
              -0.001005930107032195,
              0.00201186021406439,
              -0.001005930107032195,
              0.0,
              0.0
            ],
            "phase_source": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "pressure": [
              0.0009765624999999805,
              -0.001953125,
              0.0009765625,
              0.0,
              1.9490859162596877e-17
            ],
            "regions": {
              "left": {
                "centered_distance": 0.0034938562148434217,
                "centered_state": [
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 320,
                    "numerator": 1
                  },
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 1280,
                    "numerator": -1
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  }
                ],
                "chi_form": {
                  "denominator": 1024,
                  "numerator": -1
                },
                "chi_phase": {
                  "denominator": 1,
                  "numerator": 0
                },
                "form_mean": {
                  "denominator": 1280,
                  "numerator": 1
                },
                "phase_error_mean": {
                  "denominator": 1,
                  "numerator": 0
                }
              }
            },
            "storage": {
              "denominator": 10141204801825835211973625643008,
              "numerator": 35037155615629068045950537615653
            },
            "time": 0.0
          },
          "32": {
            "balance_residual": {
              "denominator": 11417981541647679048466287755595961091061972992,
              "numerator": -1366222595275480232903351361
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              3.0208557399649443e-05,
              0.003845678620059159,
              3.0208552924882556e-05,
              7.713592717722225e-08,
              7.7133689131466e-08
            ],
            "form_rate": [
              0.0009561999173531659,
              -0.0019225560482555822,
              0.0009561994629913001,
              5.0784475788082405e-06,
              5.078220332274508e-06
            ],
            "nodes": [
              0,
              1,
              2,
              3,
              4
            ],
            "phase": [
              -3.096384102998422e-05,
              1.2566992222180104,
              2.5132431618995374,
              3.769911066319646,
              5.026548127762924
            ],
            "phase_rate": [
              -0.0009748866736396485,
              0.0019651052714242698,
              -0.0009746998336724336,
              -7.759753200589069e-06,
              -7.759019488274861e-06
            ],
            "phase_source": [
              1.9730515231837252e-05,
              -2.9642031614239853e-05,
              1.9729600914313728e-05,
              -4.908812222188223e-06,
              -4.909272309722904e-06
            ],
            "pressure": [
              0.0009561999173531659,
              -0.0019225560482555822,
              0.0009561994629913001,
              5.0784475788082405e-06,
              5.078220332274508e-06
            ],
            "regions": {
              "left": {
                "centered_distance": 0.0034271114212580914,
                "centered_state": [
                  {
                    "denominator": 377789318629571617095680,
                    "numerator": -283735434862556928477
                  },
                  {
                    "denominator": 377789318629571617095680,
                    "numerator": 1157708400361108076323
                  },
                  {
                    "denominator": 377789318629571617095680,
                    "numerator": -283735436553076061917
                  },
                  {
                    "denominator": 377789318629571617095680,
                    "numerator": -295118764049982652307
                  },
                  {
                    "denominator": 188894659314785808547840,
                    "numerator": -147559382447746216811
                  },
                  {
                    "denominator": 184467440737095516160,
                    "numerator": -5711820507057233
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": 45866561560333393
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": -22845165276935087
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": -87059843232687
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": -87054411936687
                  }
                ],
                "chi_form": {
                  "denominator": 302231454903657293676544,
                  "numerator": -283735434862556928477
                },
                "chi_phase": {
                  "denominator": 147573952589676412928,
                  "numerator": -5711820507057233
                },
                "form_mean": {
                  "denominator": 377789318629571617095680,
                  "numerator": 295147905179352795357
                },
                "phase_error_mean": {
                  "denominator": 737869762948382064640,
                  "numerator": -12536913
                }
              }
            },
            "storage": {
              "denominator": 5708990770823839524233143877797980545530986496,
              "numerator": 19724161142121420145060670948663311219138168295
            },
            "time": 0.03125
          },
          "64": {
            "balance_residual": {
              "denominator": 713623846352979940529142984724747568191373312,
              "numerator": -95032330284319143434589085
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              5.978541127719458e-05,
              0.003786056356984096,
              5.978537459919412e-05,
              3.1143774165038186e-07,
              3.1141939786495193e-07
            ],
            "form_rate": [
              0.0009361424759428077,
              -0.0018923935517587186,
              0.0009361406887924554,
              1.0055640400851073e-05,
              1.0054746622606235e-05
            ],
            "nodes": [
              0,
              1,
              2,
              3,
              4
            ],
            "phase": [
              -6.096671927555323e-05,
              1.2567599342623788,
              2.5132131674962728,
              3.7699107089122808,
              5.0265477704068475
            ],
            "phase_rate": [
              -0.0009444458843108862,
              0.0019191645369540933,
              -0.0009440874390860346,
              -1.531703648915888e-05,
              -1.531420901422249e-05
            ],
            "phase_source": [
              3.888647497183882e-05,
              -5.85161394714988e-05,
              3.88828548212257e-05,
              -9.62567845517127e-06,
              -9.627511866394454e-06
            ],
            "pressure": [
              0.0009361424759428077,
              -0.0018923935517587186,
              0.0009361406887924554,
              1.0055640400851073e-05,
              1.0054746622606235e-05
            ],
            "regions": {
              "left": {
                "centered_distance": 0.0033633531465266063,
                "centered_state": [
                  {
                    "denominator": 94447329657392904273920,
                    "numerator": -68140403847238191531
                  },
                  {
                    "denominator": 94447329657392904273920,
                    "numerator": 283795936554706725589
                  },
                  {
                    "denominator": 94447329657392904273920,
                    "numerator": -68140407311377392171
                  },
                  {
                    "denominator": 94447329657392904273920,
                    "numerator": -73757561831784796111
                  },
                  {
                    "denominator": 5902958103587056517120,
                    "numerator": -4609847722769146611
                  },
                  {
                    "denominator": 184467440737095516160,
                    "numerator": -11246374650245387
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": 90664143432560907
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": -44977128417545973
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": -350779844873973
                  },
                  {
                    "denominator": 737869762948382064640,
                    "numerator": -350736569159413
                  }
                ],
                "chi_form": {
                  "denominator": 75557863725914323419136,
                  "numerator": -68140403847238191531
                },
                "chi_phase": {
                  "denominator": 147573952589676412928,
                  "numerator": -11246374650245387
                },
                "form_mean": {
                  "denominator": 94447329657392904273920,
                  "numerator": 73786976294838203691
                },
                "phase_error_mean": {
                  "denominator": 737869762948382064640,
                  "numerator": -98611467
                }
              }
            },
            "storage": {
              "denominator": 356811923176489970264571492362373784095686656,
              "numerator": 1232759835356035106592667159077529653972270013
            },
            "time": 0.0625
          }
        },
        "dt": 0.0009765625,
        "maximum_actual_balance_residual": {
          "denominator": 5708990770823839524233143877797980545530986496,
          "numerator": 3533641200523015625950196721
        },
        "maximum_clock_defect": {
          "denominator": 1,
          "numerator": 0
        },
        "maximum_disconnected_right_drift": null,
        "maximum_energy_step_defect": {
          "denominator": 110427941548649020598956093796432407239217743554726184882600387580788736,
          "numerator": 1333632887595725392278637514879748448311092247207451251860641
        },
        "minimum_acute_margin": 0.31397542581324234,
        "observed_state_count": 65,
        "steps": 64,
        "winding_preserved": true
      }
    },
    "right": {
      "128": {
        "capacity_support_and_path_held": true,
        "checkpoints": {
          "0": {
            "balance_residual": {
              "denominator": 1,
              "numerator": 0
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "form_rate": [
              -1.9490859162596877e-17,
              0.0,
              0.0,
              0.0,
              1.9490859162596877e-17
            ],
            "nodes": [
              5,
              6,
              7,
              8,
              9
            ],
            "phase": [
              0.0,
              1.2566370614359172,
              2.5132741228718345,
              3.7699111843077517,
              5.026548245743669
            ],
            "phase_rate": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "phase_source": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "pressure": [
              -1.9490859162596877e-17,
              0.0,
              0.0,
              0.0,
              1.9490859162596877e-17
            ],
            "regions": {
              "right": {
                "centered_distance": 0.0,
                "centered_state": [
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  }
                ],
                "chi_form": {
                  "denominator": 1,
                  "numerator": 0
                },
                "chi_phase": {
                  "denominator": 1,
                  "numerator": 0
                },
                "form_mean": {
                  "denominator": 1,
                  "numerator": 0
                },
                "phase_error_mean": {
                  "denominator": 1,
                  "numerator": 0
                }
              }
            },
            "storage": {
              "denominator": 10141204801825835211973625643008,
              "numerator": 35037000873124157373416175225125
            },
            "time": 0.0
          },
          "128": {
            "balance_residual": {
              "denominator": 231584178474632390847141970017375815706539969331281128078915168015826259279872,
              "numerator": 86274412564341306735722695423646197888916787
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              -1.7343036267015983e-18,
              -1.335300511122727e-20,
              1.5689593745176988e-23,
              1.6474201054095023e-20,
              2.1465496240157334e-18
            ],
            "form_rate": [
              -2.7182661813004925e-17,
              -4.2689548172134966e-19,
              7.724541888443497e-22,
              5.284042278753222e-19,
              3.3836764292286e-17
            ],
            "nodes": [
              5,
              6,
              7,
              8,
              9
            ],
            "phase": [
              -4.486463407101297e-20,
              1.2566370614359172,
              2.5132741228718345,
              3.7699111843077517,
              5.026548245743669
            ],
            "phase_rate": [
              -1.4425659312240261e-18,
              4.397332660423861e-19,
              -7.956837630583441e-22,
              -5.442946268189565e-19,
              1.5479229757636548e-18
            ],
            "phase_source": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "pressure": [
              -2.7182661813004925e-17,
              -4.2689548172134966e-19,
              7.724541888443497e-22,
              5.284042278753222e-19,
              3.3836764292286e-17
            ],
            "regions": {
              "right": {
                "centered_distance": 2.7537312397333944e-18,
                "centered_state": [
                  {
                    "denominator": 1701411834604692317316873037158841057280,
                    "numerator": -3092112185822833190697
                  },
                  {
                    "denominator": 1701411834604692317316873037158841057280,
                    "numerator": -164066431478674483497
                  },
                  {
                    "denominator": 425352958651173079329218259289710264320,
                    "numerator": -35330194023604319063
                  },
                  {
                    "denominator": 1701411834604692317316873037158841057280,
                    "numerator": -113318069915801090857
                  },
                  {
                    "denominator": 1701411834604692317316873037158841057280,
                    "numerator": 3510817463311726041303
                  },
                  {
                    "denominator": 25961484292674138142652481646100480,
                    "numerator": -931801994184941
                  },
                  {
                    "denominator": 103845937170696552570609926584401920,
                    "numerator": 931801994184941
                  },
                  {
                    "denominator": 103845937170696552570609926584401920,
                    "numerator": 931801994184941
                  },
                  {
                    "denominator": 103845937170696552570609926584401920,
                    "numerator": 931801994184941
                  },
                  {
                    "denominator": 103845937170696552570609926584401920,
                    "numerator": 931801994184941
                  }
                ],
                "chi_form": {
                  "denominator": 1361129467683753853853498429727072845824,
                  "numerator": -3092112185822833190697
                },
                "chi_phase": {
                  "denominator": 20769187434139310514121985316880384,
                  "numerator": -931801994184941
                },
                "form_mean": {
                  "denominator": 1701411834604692317316873037158841057280,
                  "numerator": 141347470554895460137
                },
                "phase_error_mean": {
                  "denominator": 103845937170696552570609926584401920,
                  "numerator": -931801994184941
                }
              }
            },
            "storage": {
              "denominator": 115792089237316195423570985008687907853269984665640564039457584007913129639936,
              "numerator": 400051829244025243277462480364657932047194279299893962460451385578907212902033
            },
            "time": 0.0625
          },
          "64": {
            "balance_residual": {
              "denominator": 14821387422376473014217086081112052205218558037201992197050570753012880593911808,
              "numerator": 2779675074614368221502331087060740479657197395
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              -8.73768852251486e-19,
              -3.3240667674409744e-21,
              1.8406556876778336e-24,
              4.079284031623356e-21,
              1.0773522458863303e-18
            ],
            "form_rate": [
              -2.7883095637551905e-17,
              -2.167797195152291e-19,
              1.878839882017565e-22,
              2.672988796196928e-19,
              3.458339794570761e-17
            ],
            "nodes": [
              5,
              6,
              7,
              8,
              9
            ],
            "phase": [
              -1.1096739269149331e-20,
              1.2566370614359172,
              2.5132741228718345,
              3.7699111843077517,
              5.026548245743669
            ],
            "phase_rate": [
              -7.26604306255393e-19,
              2.2329881236926836e-19,
              -1.9353411621010287e-22,
              -2.753372063594736e-19,
              7.788362343618084e-19
            ],
            "phase_source": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "pressure": [
              -2.7883095637551905e-17,
              -2.167797195152291e-19,
              1.878839882017565e-22,
              2.672988796196928e-19,
              3.458339794570761e-17
            ],
            "regions": {
              "right": {
                "centered_distance": 1.3841730617709195e-18,
                "centered_state": [
                  {
                    "denominator": 13611294676837538538534984297270728458240,
                    "numerator": -12449392947538950210791
                  },
                  {
                    "denominator": 13611294676837538538534984297270728458240,
                    "numerator": -601512472398974249191
                  },
                  {
                    "denominator": 3402823669209384634633746074317682114560,
                    "numerator": -139060641598722192409
                  },
                  {
                    "denominator": 13611294676837538538534984297270728458240,
                    "numerator": -500743283076908989671
                  },
                  {
                    "denominator": 13611294676837538538534984297270728458240,
                    "numerator": 14107891269409722219289
                  },
                  {
                    "denominator": 830767497365572420564879412675215360,
                    "numerator": -7375048249239569
                  },
                  {
                    "denominator": 3323069989462289682259517650700861440,
                    "numerator": 7375048249239569
                  },
                  {
                    "denominator": 3323069989462289682259517650700861440,
                    "numerator": 7375048249239569
                  },
                  {
                    "denominator": 3323069989462289682259517650700861440,
                    "numerator": 7375048249239569
                  },
                  {
                    "denominator": 3323069989462289682259517650700861440,
                    "numerator": 7375048249239569
                  }
                ],
                "chi_form": {
                  "denominator": 10889035741470030830827987437816582766592,
                  "numerator": -12449392947538950210791
                },
                "chi_phase": {
                  "denominator": 664613997892457936451903530140172288,
                  "numerator": -7375048249239569
                },
                "form_mean": {
                  "denominator": 13611294676837538538534984297270728458240,
                  "numerator": 556267620101852349671
                },
                "phase_error_mean": {
                  "denominator": 3323069989462289682259517650700861440,
                  "numerator": -7375048249239569
                }
              }
            },
            "storage": {
              "denominator": 7410693711188236507108543040556026102609279018600996098525285376506440296955904,
              "numerator": 25603317071617615569757598743338107588608039404011005063260746368377693118456945
            },
            "time": 0.03125
          }
        },
        "dt": 0.00048828125,
        "maximum_actual_balance_residual": {
          "denominator": 231584178474632390847141970017375815706539969331281128078915168015826259279872,
          "numerator": 86274412564341306735722695423646197888916787
        },
        "maximum_clock_defect": {
          "denominator": 1,
          "numerator": 0
        },
        "maximum_disconnected_right_drift": 2.7600628426966593e-18,
        "maximum_energy_step_defect": {
          "denominator": 14821387422376473014217086081112052205218558037201992197050570753012880593911808,
          "numerator": 10861187104699321350549454597238549410807
        },
        "minimum_acute_margin": 0.3141592653589793,
        "observed_state_count": 129,
        "steps": 128,
        "winding_preserved": true
      },
      "256": {
        "capacity_support_and_path_held": true,
        "checkpoints": {
          "0": {
            "balance_residual": {
              "denominator": 1,
              "numerator": 0
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "form_rate": [
              -1.9490859162596877e-17,
              0.0,
              0.0,
              0.0,
              1.9490859162596877e-17
            ],
            "nodes": [
              5,
              6,
              7,
              8,
              9
            ],
            "phase": [
              0.0,
              1.2566370614359172,
              2.5132741228718345,
              3.7699111843077517,
              5.026548245743669
            ],
            "phase_rate": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "phase_source": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "pressure": [
              -1.9490859162596877e-17,
              0.0,
              0.0,
              0.0,
              1.9490859162596877e-17
            ],
            "regions": {
              "right": {
                "centered_distance": 0.0,
                "centered_state": [
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  }
                ],
                "chi_form": {
                  "denominator": 1,
                  "numerator": 0
                },
                "chi_phase": {
                  "denominator": 1,
                  "numerator": 0
                },
                "form_mean": {
                  "denominator": 1,
                  "numerator": 0
                },
                "phase_error_mean": {
                  "denominator": 1,
                  "numerator": 0
                }
              }
            },
            "storage": {
              "denominator": 10141204801825835211973625643008,
              "numerator": 35037000873124157373416175225125
            },
            "time": 0.0
          },
          "128": {
            "balance_residual": {
              "denominator": 231584178474632390847141970017375815706539969331281128078915168015826259279872,
              "numerator": 43694327792339604197415429186788116767153419
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              -8.78001480488041e-19,
              -3.383040131056753e-21,
              1.9794629906021736e-24,
              4.169119113102781e-21,
              1.0848501414226577e-18
            ],
            "form_rate": [
              -2.7879085215033056e-17,
              -2.1780835519073423e-19,
              1.9553001401620597e-22,
              2.691284706648607e-19,
              3.457861329965068e-17
            ],
            "nodes": [
              5,
              6,
              7,
              8,
              9
            ],
            "phase": [
              -1.131274171767468e-20,
              1.2566370614359172,
              2.5132741228718345,
              3.7699111843077517,
              5.026548245743669
            ],
            "phase_rate": [
              -7.306999202400203e-19,
              2.2435838161871015e-19,
              -2.0141007659758456e-22,
              -2.772218176525458e-19,
              7.837647663504536e-19
            ],
            "phase_source": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "pressure": [
              -2.7879085215033056e-17,
              -2.1780835519073423e-19,
              1.9553001401620597e-22,
              2.691284706648607e-19,
              3.457861329965068e-17
            ],
            "regions": {
              "right": {
                "centered_distance": 1.3925857376318938e-18,
                "centered_state": [
                  {
                    "denominator": 1701411834604692317316873037158841057280,
                    "numerator": -1564497224033000917387
                  },
                  {
                    "denominator": 1701411834604692317316873037158841057280,
                    "numerator": -76411058846129696907
                  },
                  {
                    "denominator": 425352958651173079329218259289710264320,
                    "numerator": -17662936612112188853
                  },
                  {
                    "denominator": 1701411834604692317316873037158841057280,
                    "numerator": -63561725731297437067
                  },
                  {
                    "denominator": 1701411834604692317316873037158841057280,
                    "numerator": 1775121755058876806773
                  },
                  {
                    "denominator": 830767497365572420564879412675215360,
                    "numerator": -7518606500108561
                  },
                  {
                    "denominator": 3323069989462289682259517650700861440,
                    "numerator": 7518606500108561
                  },
                  {
                    "denominator": 3323069989462289682259517650700861440,
                    "numerator": 7518606500108561
                  },
                  {
                    "denominator": 3323069989462289682259517650700861440,
                    "numerator": 7518606500108561
                  },
                  {
                    "denominator": 3323069989462289682259517650700861440,
                    "numerator": 7518606500108561
                  }
                ],
                "chi_form": {
                  "denominator": 1361129467683753853853498429727072845824,
                  "numerator": -1564497224033000917387
                },
                "chi_phase": {
                  "denominator": 664613997892457936451903530140172288,
                  "numerator": -7518606500108561
                },
                "form_mean": {
                  "denominator": 1701411834604692317316873037158841057280,
                  "numerator": 70655114330207127947
                },
                "phase_error_mean": {
                  "denominator": 3323069989462289682259517650700861440,
                  "numerator": -7518606500108561
                }
              }
            },
            "storage": {
              "denominator": 115792089237316195423570985008687907853269984665640564039457584007913129639936,
              "numerator": 400051829244025243277462480364657931076004358711640642013850249176491124693113
            },
            "time": 0.03125
          },
          "256": {
            "balance_residual": {
              "denominator": 3618502788666131106986593281521497120414687020801267626233049500247285301248,
              "numerator": 1351956399834475659944765680001879703187875
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              -1.738327665368274e-18,
              -1.3468519447822085e-20,
              1.625588732343414e-23,
              1.6651480110287302e-20,
              2.1538098558924173e-18
            ],
            "form_rate": [
              -2.7178795409938136e-17,
              -4.278435926463266e-19,
              7.876122219545871e-22,
              5.301307878897915e-19,
              3.3832172486445037e-17
            ],
            "nodes": [
              5,
              6,
              7,
              8,
              9
            ],
            "phase": [
              -4.529317463094992e-20,
              1.2566370614359172,
              2.5132741228718345,
              3.7699111843077517,
              5.026548245743669
            ],
            "phase_rate": [
              -1.4464783510059546e-18,
              4.407098889664084e-19,
              -8.1129763505217815e-22,
              -5.460731086879129e-19,
              1.5526528683625112e-18
            ],
            "phase_source": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "pressure": [
              -2.7178795409938136e-17,
              -4.278435926463266e-19,
              7.876122219545871e-22,
              5.301307878897915e-19,
              3.3832172486445037e-17
            ],
            "regions": {
              "right": {
                "centered_distance": 2.7618329047577987e-18,
                "centered_state": [
                  {
                    "denominator": 212676479325586539664609129644855132160,
                    "numerator": -387510145307904149433
                  },
                  {
                    "denominator": 212676479325586539664609129644855132160,
                    "numerator": -20673174821004308153
                  },
                  {
                    "denominator": 53169119831396634916152282411213783040,
                    "numerator": -4451320069557263207
                  },
                  {
                    "denominator": 212676479325586539664609129644855132160,
                    "numerator": -14267359357697381433
                  },
                  {
                    "denominator": 212676479325586539664609129644855132160,
                    "numerator": 440255959764834891847
                  },
                  {
                    "denominator": 10384593717069655257060992658440192,
                    "numerator": -376280973358961
                  },
                  {
                    "denominator": 41538374868278621028243970633760768,
                    "numerator": 376280973358961
                  },
                  {
                    "denominator": 41538374868278621028243970633760768,
                    "numerator": 376280973358961
                  },
                  {
                    "denominator": 41538374868278621028243970633760768,
                    "numerator": 376280973358961
                  },
                  {
                    "denominator": 41538374868278621028243970633760768,
                    "numerator": 376280973358961
                  }
                ],
                "chi_form": {
                  "denominator": 170141183460469231731687303715884105728,
                  "numerator": -387510145307904149433
                },
                "chi_phase": {
                  "denominator": 41538374868278621028243970633760768,
                  "numerator": -1881404866794805
                },
                "form_mean": {
                  "denominator": 212676479325586539664609129644855132160,
                  "numerator": 17808737523113314233
                },
                "phase_error_mean": {
                  "denominator": 41538374868278621028243970633760768,
                  "numerator": -376280973358961
                }
              }
            },
            "storage": {
              "denominator": 1809251394333065553493296640760748560207343510400633813116524750123642650624,
              "numerator": 6250809831937894426210351255697780188356291224824928301553505411988700018737
            },
            "time": 0.0625
          }
        },
        "dt": 0.000244140625,
        "maximum_actual_balance_residual": {
          "denominator": 3618502788666131106986593281521497120414687020801267626233049500247285301248,
          "numerator": 1351956399834475659944765680001879703187875
        },
        "maximum_clock_defect": {
          "denominator": 1,
          "numerator": 0
        },
        "maximum_disconnected_right_drift": 2.7682467578347153e-18,
        "maximum_energy_step_defect": {
          "denominator": 237142198758023568227473377297792835283496928595231875152809132048206089502588928,
          "numerator": 43466233421527863104313762730917786676675
        },
        "minimum_acute_margin": 0.3141592653589793,
        "observed_state_count": 257,
        "steps": 256,
        "winding_preserved": true
      },
      "64": {
        "capacity_support_and_path_held": true,
        "checkpoints": {
          "0": {
            "balance_residual": {
              "denominator": 1,
              "numerator": 0
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "form_rate": [
              -1.9490859162596877e-17,
              0.0,
              0.0,
              0.0,
              1.9490859162596877e-17
            ],
            "nodes": [
              5,
              6,
              7,
              8,
              9
            ],
            "phase": [
              0.0,
              1.2566370614359172,
              2.5132741228718345,
              3.7699111843077517,
              5.026548245743669
            ],
            "phase_rate": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "phase_source": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "pressure": [
              -1.9490859162596877e-17,
              0.0,
              0.0,
              0.0,
              1.9490859162596877e-17
            ],
            "regions": {
              "right": {
                "centered_distance": 0.0,
                "centered_state": [
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  },
                  {
                    "denominator": 1,
                    "numerator": 0
                  }
                ],
                "chi_form": {
                  "denominator": 1,
                  "numerator": 0
                },
                "chi_phase": {
                  "denominator": 1,
                  "numerator": 0
                },
                "form_mean": {
                  "denominator": 1,
                  "numerator": 0
                },
                "phase_error_mean": {
                  "denominator": 1,
                  "numerator": 0
                }
              }
            },
            "storage": {
              "denominator": 10141204801825835211973625643008,
              "numerator": 35037000873124157373416175225125
            },
            "time": 0.0
          },
          "32": {
            "balance_residual": {
              "denominator": 926336713898529563388567880069503262826159877325124512315660672063305037119488,
              "numerator": 171632531075428909732322605395124001108279843
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              -8.65294769586972e-19,
              -3.2083914155661886e-21,
              1.5819636727224011e-24,
              3.903638696814651e-21,
              1.0623459279425585e-18
            ],
            "form_rate": [
              -2.7891122660025115e-17,
              -2.1471910119804172e-19,
              1.7302083847575434e-22,
              2.636350581281505e-19,
              3.4592975714011927e-17
            ],
            "nodes": [
              5,
              6,
              7,
              8,
              9
            ],
            "phase": [
              -1.0673752136790388e-20,
              1.2566370614359172,
              2.5132741228718345,
              3.7699111843077517,
              5.026548245743669
            ],
            "phase_rate": [
              -7.184052366977166e-19,
              2.211762262528029e-19,
              -1.7822399546031685e-22,
              -2.715632048540563e-19,
              7.689704392944303e-19
            ],
            "phase_source": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "pressure": [
              -2.7891122660025115e-17,
              -2.1471910119804172e-19,
              1.7302083847575434e-22,
              2.636350581281505e-19,
              3.4592975714011927e-17
            ],
            "regions": {
              "right": {
                "centered_distance": 1.367336729167871e-18,
                "centered_state": [
                  {
                    "denominator": 3402823669209384634633746074317682114560,
                    "numerator": -3079025829342735297711
                  },
                  {
                    "denominator": 3402823669209384634633746074317682114560,
                    "numerator": -145497896798083168431
                  },
                  {
                    "denominator": 850705917302346158658436518579420528640,
                    "numerator": -33643730851419242449
                  },
                  {
                    "denominator": 3402823669209384634633746074317682114560,
                    "numerator": -121296912395543768751
                  },
                  {
                    "denominator": 3402823669209384634633746074317682114560,
                    "numerator": 3480395561942039204689
                  },
                  {
                    "denominator": 166153499473114484112975882535043072,
                    "numerator": -1418785016029085
                  },
                  {
                    "denominator": 664613997892457936451903530140172288,
                    "numerator": 1418785016029085
                  },
                  {
                    "denominator": 664613997892457936451903530140172288,
                    "numerator": 1418785016029085
                  },
                  {
                    "denominator": 664613997892457936451903530140172288,
                    "numerator": 1418785016029085
                  },
                  {
                    "denominator": 664613997892457936451903530140172288,
                    "numerator": 1418785016029085
                  }
                ],
                "chi_form": {
                  "denominator": 2722258935367507707706996859454145691648,
                  "numerator": -3079025829342735297711
                },
                "chi_phase": {
                  "denominator": 664613997892457936451903530140172288,
                  "numerator": -7093925080145425
                },
                "form_mean": {
                  "denominator": 3402823669209384634633746074317682114560,
                  "numerator": 134580306549106338991
                },
                "phase_error_mean": {
                  "denominator": 664613997892457936451903530140172288,
                  "numerator": -1418785016029085
                }
              }
            },
            "storage": {
              "denominator": 463168356949264781694283940034751631413079938662562256157830336031652518559744,
              "numerator": 1600207316976100973109849921458631724256235363877525984145990279247760812285345
            },
            "time": 0.03125
          },
          "64": {
            "balance_residual": {
              "denominator": 14474011154664524427946373126085988481658748083205070504932198000989141204992,
              "numerator": 5360772218296338567107517665869706547521051
            },
            "capacity": [
              1.0,
              1.0,
              1.0,
              1.0,
              1.0
            ],
            "epi": [
              -1.7262470322547293e-18,
              -1.3124078268843762e-20,
              1.4594845340964867e-23,
              1.6123441251126532e-20,
              2.1320190526038697e-18
            ],
            "form_rate": [
              -2.719040055733267e-17,
              -4.249960702179252e-19,
              7.4254332290021e-22,
              5.249466912367394e-19,
              3.3845956036652906e-17
            ],
            "nodes": [
              5,
              6,
              7,
              8,
              9
            ],
            "phase": [
              -4.4016178098983053e-20,
              1.2566370614359172,
              2.5132741228718345,
              3.7699111843077517,
              5.026548245743669
            ],
            "phase_rate": [
              -1.4347335608736845e-18,
              4.377767346202417e-19,
              -7.648734047037952e-22,
              -5.407331136532172e-19,
              1.538454813311364e-18
            ],
            "phase_source": [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            "pressure": [
              -2.719040055733267e-17,
              -4.249960702179252e-19,
              7.4254332290021e-22,
              5.249466912367394e-19,
              3.3845956036652906e-17
            ],
            "regions": {
              "right": {
                "centered_distance": 2.7375162114574087e-18,
                "centered_state": [
                  {
                    "denominator": 425352958651173079329218259289710264320,
                    "numerator": -769039947586876197603
                  },
                  {
                    "denominator": 425352958651173079329218259289710264320,
                    "numerator": -40358030575742361443
                  },
                  {
                    "denominator": 106338239662793269832304564822427566080,
                    "numerator": -8692364273468316477
                  },
                  {
                    "denominator": 425352958651173079329218259289710264320,
                    "numerator": -27917511614715059683
                  },
                  {
                    "denominator": 425352958651173079329218259289710264320,
                    "numerator": 872084946871206884637
                  },
                  {
                    "denominator": 103845937170696552570609926584401920,
                    "numerator": -3656721012288947
                  },
                  {
                    "denominator": 415383748682786210282439706337607680,
                    "numerator": 3656721012288947
                  },
                  {
                    "denominator": 415383748682786210282439706337607680,
                    "numerator": 3656721012288947
                  },
                  {
                    "denominator": 415383748682786210282439706337607680,
                    "numerator": 3656721012288947
                  },
                  {
                    "denominator": 415383748682786210282439706337607680,
                    "numerator": 3656721012288947
                  }
                ],
                "chi_form": {
                  "denominator": 340282366920938463463374607431768211456,
                  "numerator": -769039947586876197603
                },
                "chi_phase": {
                  "denominator": 83076749736557242056487941267521536,
                  "numerator": -3656721012288947
                },
                "form_mean": {
                  "denominator": 425352958651173079329218259289710264320,
                  "numerator": 34775665054520101603
                },
                "phase_error_mean": {
                  "denominator": 415383748682786210282439706337607680,
                  "numerator": -3656721012288947
                }
              }
            },
            "storage": {
              "denominator": 7237005577332262213973186563042994240829374041602535252466099000494570602496,
              "numerator": 25003239327751577704841405022791120752001919982662627598679715620771398722249
            },
            "time": 0.0625
          }
        },
        "dt": 0.0009765625,
        "maximum_actual_balance_residual": {
          "denominator": 14474011154664524427946373126085988481658748083205070504932198000989141204992,
          "numerator": 5360772218296338567107517665869706547521051
        },
        "maximum_clock_defect": {
          "denominator": 1,
          "numerator": 0
        },
        "maximum_disconnected_right_drift": 2.7436843273178858e-18,
        "maximum_energy_step_defect": {
          "denominator": 926336713898529563388567880069503262826159877325124512315660672063305037119488,
          "numerator": 2712612990659242715781269043955320911243
        },
        "minimum_acute_margin": 0.3141592653589793,
        "observed_state_count": 65,
        "steps": 64,
        "winding_preserved": true
      }
    }
  }
}