Recorded data and provenance for the associated calculation.

Download recorded JSON

started_utc2026-09-08T04:58:32.147482+00:00
h0.0096
original_h0.0096
period20.567508940993605
statusnumerically accepted
casimir_error4.440892098500626e-16
seconds23.991789435967803
View complete data
{
  "started_utc": "2026-09-08T04:58:32.147482+00:00",
  "h": 0.0096,
  "original_h": 0.0096,
  "derivative_errors": {
    "field": 4.547473508864641e-13,
    "field_value": 7.105427357601002e-15,
    "chart": 1.0488077073489421e-10,
    "parameter": 2.8110491712141084e-10
  },
  "affine_gauge": [
    [
      -5.677831400423318e-16,
      -2.0089474413063271e-16,
      -0.6531068116014116,
      0.08628414753680635,
      0.6888467614681052,
      0.013272594804513007,
      -0.023395324380022516,
      -0.24262086377095782,
      -0.002526136037539484,
      0.06161142530582639,
      -0.09183488827672927,
      0.13892134972192083,
      0.019317194958791983
    ],
    [
      1.4473481008325057e-16,
      2.5190957902097043e-17,
      0.15852633727715415,
      -0.008475049708657352,
      -0.22955049303388678,
      -0.004422944042316904,
      0.003200427646833736,
      -0.661971920549352,
      0.0017879797707697905,
      0.20466939347689805,
      0.03069068839850471,
      0.6640718352689325,
      -0.006437239565181307
    ]
  ],
  "state": [
    1.0,
    -4.503449135725712e-26,
    -0.028383392905879122,
    -0.08274224308558395,
    0.030295607307259772,
    -0.03452556284836568,
    1.03972974789852,
    -0.006432751265261275,
    1.6292492849696623,
    -0.8229746560311147,
    0.002917354975198402,
    0.0017746672535428457,
    0.23660046132137535,
    1.5608369262690749
  ],
  "variables": [
    1.0,
    -4.503449135725712e-26,
    -0.028383392905879122,
    -0.08274224308558395,
    0.030295607307259772,
    -0.03452556284836568,
    1.03972974789852,
    -0.006432751265261275,
    0.0010687700055608553,
    0.0013958319703558813,
    0.07912483764038368,
    0.001937624319948567,
    3.023712594775506
  ],
  "period": 20.567508940993605,
  "history": [
    {
      "iteration": 0,
      "residual": 3.2039146257360495e-11,
      "singular_values": [
        89.37544112977916,
        14.753440967503526,
        4.116927941155672,
        2.831370017502042,
        1.0505394301146034,
        1.0000000000000002,
        0.9999999999999997,
        0.9366336074483929,
        0.8089813587926599,
        0.6303545135429873,
        0.1916621221448554,
        0.14860857498080018,
        0.034578984576426615
      ],
      "step_norm": 4.775936040038095e-11,
      "predicted_residual": 1.6080409251480294e-14,
      "fraction": 1.0,
      "trial_residual": 5.994421805272302e-13,
      "seconds": 8.463081980939023
    },
    {
      "iteration": 1,
      "residual": 5.792941789724769e-14,
      "singular_values": [
        89.37544113011441,
        14.753440967596623,
        4.11692794117422,
        2.8313700175004297,
        1.0505394302627749,
        1.0,
        0.9999999999999998,
        0.9366336074657539,
        0.8089813588264653,
        0.6303545135508896,
        0.19166212214665873,
        0.14860857502529257,
        0.034578984596643186
      ],
      "step_norm": 4.165768069821112e-14,
      "predicted_residual": 1.469311533232279e-14
    }
  ],
  "status": "numerically accepted",
  "casimir_error": 4.440892098500626e-16,
  "verification": {
    "runs": [
      {
        "rtol": 3e-09,
        "atol": 3e-11,
        "substeps": 180,
        "residual": 1.4573595740229543e-06
      },
      {
        "rtol": 1e-12,
        "atol": 1e-14,
        "substeps": 1200,
        "residual": 1.3592592360957278e-09
      },
      {
        "rtol": 2.5e-14,
        "atol": 1e-15,
        "substeps": 2400,
        "residual": 4.990853638420927e-12
      }
    ],
    "endpoint_refinement": 1.3628501341214788e-09,
    "coarse_endpoint_error": 1.4573562933263546e-06,
    "recurrence_tolerance": 1e-07,
    "numerically_accepted": true
  },
  "seconds": 23.991789435967803
}