Recorded data and provenance for the associated calculation.

Download recorded JSON

timestamp20260914T062853_406360Z
scopeActual surface overlaps and physical normalization of the normal-current pair.
passedtrue
View complete data
{
  "timestamp": "20260914T062853_406360Z",
  "scope": "Actual surface overlaps and physical normalization of the normal-current pair.",
  "passed": true,
  "checks": [
    {
      "name": "actual complete S4 surface overlap a=2,b=14,angle=0.0",
      "error": 4.6629367034256575e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "independent ordinary surface quadrature a=2,b=14,angle=0.0",
      "error": 1.1435297153639112e-14,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical first surface norm a=2,angle=0.0",
      "error": 3.552713678800501e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical second complex surface norm b=14,angle=0.0",
      "error": 5.551115123125783e-16,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "actual complete S4 surface overlap a=2,b=14,angle=0.3",
      "error": 1.1102230246251565e-14,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "independent ordinary surface quadrature a=2,b=14,angle=0.3",
      "error": 7.105427357601002e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical first surface norm a=2,angle=0.3",
      "error": 3.552713678800501e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical second complex surface norm b=14,angle=0.3",
      "error": 7.882583474838611e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "actual complete S4 surface overlap a=2,b=14,angle=0.7",
      "error": 1.3322676295501878e-14,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "independent ordinary surface quadrature a=2,b=14,angle=0.7",
      "error": 3.219646771412954e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical first surface norm a=2,angle=0.7",
      "error": 3.552713678800501e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical second complex surface norm b=14,angle=0.7",
      "error": 9.43689570931383e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "actual complete S4 surface overlap a=2,b=14,angle=1.5707963267948966",
      "error": 1.6209256159527285e-14,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "independent ordinary surface quadrature a=2,b=14,angle=1.5707963267948966",
      "error": 5.662137425588298e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical first surface norm a=2,angle=1.5707963267948966",
      "error": 3.552713678800501e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical second complex surface norm b=14,angle=1.5707963267948966",
      "error": 4.163336342344337e-14,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "full complex ordinary plane geometry a=2,b=14,sample=0",
      "error": 1.687538997430238e-14,
      "tolerance": 5e-10,
      "passed": true
    },
    {
      "name": "full complex ordinary plane geometry a=2,b=14,sample=1",
      "error": 2.7200464103316335e-14,
      "tolerance": 5e-10,
      "passed": true
    },
    {
      "name": "full complex ordinary plane geometry a=2,b=14,sample=2",
      "error": 1.3100631690576847e-14,
      "tolerance": 5e-10,
      "passed": true
    },
    {
      "name": "actual complete S4 surface overlap a=2,b=36,angle=0.0",
      "error": 1.1102230246251565e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "independent ordinary surface quadrature a=2,b=36,angle=0.0",
      "error": 1.8984813721090177e-14,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical first surface norm a=2,angle=0.0",
      "error": 3.552713678800501e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical second complex surface norm b=36,angle=0.0",
      "error": 1.9984014443252818e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "actual complete S4 surface overlap a=2,b=36,angle=0.3",
      "error": 4.3298697960381105e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "independent ordinary surface quadrature a=2,b=36,angle=0.3",
      "error": 3.9968028886505635e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical first surface norm a=2,angle=0.3",
      "error": 3.552713678800501e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical second complex surface norm b=36,angle=0.3",
      "error": 4.218847493575595e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "actual complete S4 surface overlap a=2,b=36,angle=0.7",
      "error": 1.3322676295501878e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "independent ordinary surface quadrature a=2,b=36,angle=0.7",
      "error": 1.0880185641326534e-14,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical first surface norm a=2,angle=0.7",
      "error": 3.552713678800501e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical second complex surface norm b=36,angle=0.7",
      "error": 1.1102230246251565e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "actual complete S4 surface overlap a=2,b=36,angle=1.5707963267948966",
      "error": 1.4210854715202004e-14,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "independent ordinary surface quadrature a=2,b=36,angle=1.5707963267948966",
      "error": 4.440892098500626e-16,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical first surface norm a=2,angle=1.5707963267948966",
      "error": 3.552713678800501e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical second complex surface norm b=36,angle=1.5707963267948966",
      "error": 6.472600233564663e-14,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "full complex ordinary plane geometry a=2,b=36,sample=0",
      "error": 1.0325074129013956e-14,
      "tolerance": 5e-10,
      "passed": true
    },
    {
      "name": "full complex ordinary plane geometry a=2,b=36,sample=1",
      "error": 1.4432899320127035e-15,
      "tolerance": 5e-10,
      "passed": true
    },
    {
      "name": "full complex ordinary plane geometry a=2,b=36,sample=2",
      "error": 5.10702591327572e-15,
      "tolerance": 5e-10,
      "passed": true
    },
    {
      "name": "actual complete S4 surface overlap a=14,b=36,angle=0.0",
      "error": 1.2878587085651816e-14,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "independent ordinary surface quadrature a=14,b=36,angle=0.0",
      "error": 1.3322676295501878e-14,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical first surface norm a=14,angle=0.0",
      "error": 5.551115123125783e-16,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical second complex surface norm b=36,angle=0.0",
      "error": 1.9984014443252818e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "actual complete S4 surface overlap a=14,b=36,angle=0.3",
      "error": 1.2434497875801753e-14,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "independent ordinary surface quadrature a=14,b=36,angle=0.3",
      "error": 1.4654943925052066e-14,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical first surface norm a=14,angle=0.3",
      "error": 5.551115123125783e-16,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical second complex surface norm b=36,angle=0.3",
      "error": 4.218847493575595e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "actual complete S4 surface overlap a=14,b=36,angle=0.7",
      "error": 1.2434497875801753e-14,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "independent ordinary surface quadrature a=14,b=36,angle=0.7",
      "error": 2.708944180085382e-14,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical first surface norm a=14,angle=0.7",
      "error": 5.551115123125783e-16,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical second complex surface norm b=36,angle=0.7",
      "error": 1.1102230246251565e-15,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "actual complete S4 surface overlap a=14,b=36,angle=1.5707963267948966",
      "error": 1.354472090042691e-14,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "independent ordinary surface quadrature a=14,b=36,angle=1.5707963267948966",
      "error": 2.1316282072803006e-14,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical first surface norm a=14,angle=1.5707963267948966",
      "error": 5.551115123125783e-16,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "canonical second complex surface norm b=36,angle=1.5707963267948966",
      "error": 6.472600233564663e-14,
      "tolerance": 3e-10,
      "passed": true
    },
    {
      "name": "full complex ordinary plane geometry a=14,b=36,sample=0",
      "error": 2.1094237467877974e-14,
      "tolerance": 5e-10,
      "passed": true
    },
    {
      "name": "full complex ordinary plane geometry a=14,b=36,sample=1",
      "error": 1.176836406102666e-14,
      "tolerance": 5e-10,
      "passed": true
    },
    {
      "name": "full complex ordinary plane geometry a=14,b=36,sample=2",
      "error": 1.1102230246251565e-14,
      "tolerance": 5e-10,
      "passed": true
    },
    {
      "name": "complete physical quartic volume normalization d=5,R=0.7,a=0.03",
      "error": 0.0,
      "tolerance": 3e-14,
      "passed": true
    },
    {
      "name": "complete physical quartic volume normalization d=5,R=0.7,a=0.001",
      "error": 2.220446049250313e-16,
      "tolerance": 3e-14,
      "passed": true
    },
    {
      "name": "complete physical quartic volume normalization d=5,R=0.7,a=1e-07",
      "error": 5.551115123125783e-16,
      "tolerance": 3e-14,
      "passed": true
    },
    {
      "name": "complete physical quartic volume normalization d=5,R=2.3,a=0.03",
      "error": 4.440892098500626e-16,
      "tolerance": 3e-14,
      "passed": true
    },
    {
      "name": "complete physical quartic volume normalization d=5,R=2.3,a=0.001",
      "error": 2.220446049250313e-16,
      "tolerance": 3e-14,
      "passed": true
    },
    {
      "name": "complete physical quartic volume normalization d=5,R=2.3,a=1e-07",
      "error": 0.0,
      "tolerance": 3e-14,
      "passed": true
    },
    {
      "name": "complete physical quartic volume normalization d=6,R=0.7,a=0.03",
      "error": 2.220446049250313e-16,
      "tolerance": 3e-14,
      "passed": true
    },
    {
      "name": "complete physical quartic volume normalization d=6,R=0.7,a=0.001",
      "error": 2.220446049250313e-16,
      "tolerance": 3e-14,
      "passed": true
    },
    {
      "name": "complete physical quartic volume normalization d=6,R=0.7,a=1e-07",
      "error": 6.661338147750939e-16,
      "tolerance": 3e-14,
      "passed": true
    },
    {
      "name": "complete physical quartic volume normalization d=6,R=2.3,a=0.03",
      "error": 6.661338147750939e-16,
      "tolerance": 3e-14,
      "passed": true
    },
    {
      "name": "complete physical quartic volume normalization d=6,R=2.3,a=0.001",
      "error": 2.220446049250313e-16,
      "tolerance": 3e-14,
      "passed": true
    },
    {
      "name": "complete physical quartic volume normalization d=6,R=2.3,a=1e-07",
      "error": 1.1102230246251565e-16,
      "tolerance": 3e-14,
      "passed": true
    },
    {
      "name": "complete physical quartic volume normalization d=10,R=0.7,a=0.03",
      "error": 6.661338147750939e-16,
      "tolerance": 3e-14,
      "passed": true
    },
    {
      "name": "complete physical quartic volume normalization d=10,R=0.7,a=0.001",
      "error": 0.0,
      "tolerance": 3e-14,
      "passed": true
    },
    {
      "name": "complete physical quartic volume normalization d=10,R=0.7,a=1e-07",
      "error": 1.1102230246251565e-16,
      "tolerance": 3e-14,
      "passed": true
    },
    {
      "name": "complete physical quartic volume normalization d=10,R=2.3,a=0.03",
      "error": 2.220446049250313e-16,
      "tolerance": 3e-14,
      "passed": true
    },
    {
      "name": "complete physical quartic volume normalization d=10,R=2.3,a=0.001",
      "error": 6.661338147750939e-16,
      "tolerance": 3e-14,
      "passed": true
    },
    {
      "name": "complete physical quartic volume normalization d=10,R=2.3,a=1e-07",
      "error": 1.1102230246251565e-15,
      "tolerance": 3e-14,
      "passed": true
    }
  ],
  "results": [
    {
      "surface_degree_a": 2,
      "surface_degree_b": 14,
      "surface_angle": 0.0,
      "normal_angle": 0.0,
      "frequency_a": 4.701434839928969e-17,
      "frequency_b": 8.727696045119033e-13,
      "surface_overlap": 0.1381652504213702,
      "coefficient_of_g_over_R_to_d": 2544336.806995472,
      "normal_coefficient": 18415171.68199578
    },
    {
      "surface_degree_a": 2,
      "surface_degree_b": 14,
      "surface_angle": 0.3,
      "normal_angle": 0.0,
      "frequency_a": 4.701434839928969e-17,
      "frequency_b": 8.727696045119033e-13,
      "surface_overlap": 0.11784838257020099,
      "coefficient_of_g_over_R_to_d": 2170198.19747577,
      "normal_coefficient": 18415171.68199578
    },
    {
      "surface_degree_a": 2,
      "surface_degree_b": 14,
      "surface_angle": 0.7,
      "normal_angle": 0.0,
      "frequency_a": 4.701434839928969e-17,
      "frequency_b": 8.727696045119033e-13,
      "surface_overlap": 0.05586512237892083,
      "coefficient_of_g_over_R_to_d": 1028765.8196435316,
      "normal_coefficient": 18415171.68199578
    },
    {
      "surface_degree_a": 2,
      "surface_degree_b": 14,
      "surface_angle": 1.5707963267948966,
      "normal_angle": 0.0,
      "frequency_a": 4.701434839928969e-17,
      "frequency_b": 8.727696045119033e-13,
      "surface_overlap": 0.0011513770868447517,
      "coefficient_of_g_over_R_to_d": 21202.80672496227,
      "normal_coefficient": 18415171.68199578
    },
    {
      "surface_degree_a": 2,
      "surface_degree_b": 36,
      "surface_angle": 0.0,
      "normal_angle": 0.0,
      "frequency_a": 4.701434839928969e-17,
      "frequency_b": 1.804529182506126e-10,
      "surface_overlap": 0.15368697950351726,
      "coefficient_of_g_over_R_to_d": 2830106.02573493,
      "normal_coefficient": 18414741.670878895
    },
    {
      "surface_degree_a": 2,
      "surface_degree_b": 36,
      "surface_angle": 0.3,
      "normal_angle": 0.0,
      "frequency_a": 4.701434839928969e-17,
      "frequency_b": 1.804529182506126e-10,
      "surface_overlap": 0.12930660044118605,
      "coefficient_of_g_over_R_to_d": 2381147.6434639962,
      "normal_coefficient": 18414741.670878895
    },
    {
      "surface_degree_a": 2,
      "surface_degree_b": 36,
      "surface_angle": 0.7,
      "normal_angle": 0.0,
      "frequency_a": 4.701434839928969e-17,
      "frequency_b": 1.804529182506126e-10,
      "surface_overlap": 0.05655778300989496,
      "coefficient_of_g_over_R_to_d": 1041496.963604839,
      "normal_coefficient": 18414741.670878895
    },
    {
      "surface_degree_a": 2,
      "surface_degree_b": 36,
      "surface_angle": 1.5707963267948966,
      "normal_angle": 0.0,
      "frequency_a": 4.701434839928969e-17,
      "frequency_b": 1.804529182506126e-10,
      "surface_overlap": 0.0002186159025654584,
      "coefficient_of_g_over_R_to_d": 4025.7553708889473,
      "normal_coefficient": 18414741.670878895
    },
    {
      "surface_degree_a": 14,
      "surface_degree_b": 36,
      "surface_angle": 0.0,
      "normal_angle": 0.0,
      "frequency_a": 8.727696045119033e-13,
      "frequency_b": 1.804529182506126e-10,
      "surface_overlap": 1.054365714817494,
      "coefficient_of_g_over_R_to_d": 19415924.774848893,
      "normal_coefficient": 18414791.473193627
    },
    {
      "surface_degree_a": 14,
      "surface_degree_b": 36,
      "surface_angle": 0.3,
      "normal_angle": 0.0,
      "frequency_a": 8.727696045119033e-13,
      "frequency_b": 1.804529182506126e-10,
      "surface_overlap": 0.42337615115454397,
      "coefficient_of_g_over_R_to_d": 7796383.538234232,
      "normal_coefficient": 18414791.473193627
    },
    {
      "surface_degree_a": 14,
      "surface_degree_b": 36,
      "surface_angle": 0.7,
      "normal_angle": 0.0,
      "frequency_a": 8.727696045119033e-13,
      "frequency_b": 1.804529182506126e-10,
      "surface_overlap": 0.006445429339982982,
      "coefficient_of_g_over_R_to_d": 118691.23725099064,
      "normal_coefficient": 18414791.473193627
    },
    {
      "surface_degree_a": 14,
      "surface_degree_b": 36,
      "surface_angle": 1.5707963267948966,
      "normal_angle": 0.0,
      "frequency_a": 8.727696045119033e-13,
      "frequency_b": 1.804529182506126e-10,
      "surface_overlap": 1.1242422542928765e-12,
      "coefficient_of_g_over_R_to_d": 2.0702686678156444e-05,
      "normal_coefficient": 18414791.473193627
    }
  ],
  "probe_ratios": [
    {
      "surface_angle": 0.0,
      "muon_to_electron_probe_response": 1.1123157979532254,
      "muon_to_electron_frequency": 206.75893995131847
    },
    {
      "surface_angle": 0.3,
      "muon_to_electron_probe_response": 1.0972028482161622,
      "muon_to_electron_frequency": 206.75893995131847
    },
    {
      "surface_angle": 0.7,
      "muon_to_electron_probe_response": 1.0123751622752386,
      "muon_to_electron_frequency": 206.75893995131847
    },
    {
      "surface_angle": 1.5707963267948966,
      "muon_to_electron_probe_response": 0.1898689840033955,
      "muon_to_electron_frequency": 206.75893995131847
    }
  ],
  "sources": {
    "holomorphic_normal_dirac.py": "cbad4bac29e247f7949392bee2c86100d7196c8dcf4b8c6be19e1c4d226bc7b8",
    "holomorphic_normal_stress.py": "b2c953fdbaaabd93f832926244fdf39c5b755dc4cee068406a358cfa96fbc66a",
    "holomorphic_normal_source.py": "4e948b4fc0715ca4e5ebd5a10e1b7d16baed085207f8ab23b639d807290adc84",
    "holomorphic_normal_pair.py": "557872f3cee56417edffc4e1b067abbeda9e4578ce0b3892e1a771242d8c3f0d",
    "holomorphic_surface_pair_checks.py": "487bfd611de932ecaa05a120dcd94d2ed97f7ab2db4ab8ecd59e34acdc2e853c"
  }
}