Recorded data and provenance for the associated calculation.
| timestamp | 20260914T061555_811538Z |
|---|---|
| scope | Complete normal kernel deformation, endpoint closure, and frequency sensitivity. |
| passed | true |
View complete data
{
"timestamp": "20260914T061555_811538Z",
"scope": "Complete normal kernel deformation, endpoint closure, and frequency sensitivity.",
"passed": true,
"checks": [
{
"name": "complete normal parallel kernel variation n=1",
"error": 0.0,
"tolerance": 3e-10,
"passed": true
},
{
"name": "constant texture variation leaves projected polarization unchanged at first order n=1",
"error": 0.0,
"tolerance": 3e-10,
"passed": true
},
{
"name": "independent endpoint-closing matrix element n=1",
"error": 1.2527756609870266e-12,
"tolerance": 3e-09,
"passed": true
},
{
"name": "complete first normal deformation equation n=1,l=0",
"error": 1.2064502692074662e-16,
"tolerance": 4e-08,
"passed": true
},
{
"name": "independent current and kernel frequency derivative n=1,b=2.0,g=1000.0",
"error": 2.0172752357439094e-12,
"tolerance": 4e-09,
"passed": true
},
{
"name": "independent current and kernel frequency derivative n=1,b=2.0,g=10000.0",
"error": 2.0172752357439094e-12,
"tolerance": 4e-09,
"passed": true
},
{
"name": "independent exact translated complete n=1 kernel",
"error": 8.749795333135267e-10,
"tolerance": 2e-09,
"passed": true
},
{
"name": "complete normal parallel kernel variation n=2",
"error": 0.0,
"tolerance": 3e-10,
"passed": true
},
{
"name": "constant texture variation leaves projected polarization unchanged at first order n=2",
"error": 0.0,
"tolerance": 3e-10,
"passed": true
},
{
"name": "independent endpoint-closing matrix element n=2",
"error": 1.1396439347777232e-12,
"tolerance": 3e-09,
"passed": true
},
{
"name": "complete first normal deformation equation n=2,l=0",
"error": 2.591415683629365e-16,
"tolerance": 4e-08,
"passed": true
},
{
"name": "complete first normal deformation equation n=2,l=1",
"error": 2.5801639814910725e-16,
"tolerance": 4e-08,
"passed": true
},
{
"name": "independent current and kernel frequency derivative n=2,b=2.5,g=1000.0",
"error": 1.6462387009141821e-12,
"tolerance": 4e-09,
"passed": true
},
{
"name": "independent current and kernel frequency derivative n=2,b=2.5,g=10000.0",
"error": 1.6462387009141821e-12,
"tolerance": 4e-09,
"passed": true
},
{
"name": "complete normal parallel kernel variation n=6",
"error": 0.0,
"tolerance": 3e-10,
"passed": true
},
{
"name": "constant texture variation leaves projected polarization unchanged at first order n=6",
"error": 0.0,
"tolerance": 3e-10,
"passed": true
},
{
"name": "independent endpoint-closing matrix element n=6",
"error": 5.3179682879545e-13,
"tolerance": 3e-09,
"passed": true
},
{
"name": "complete first normal deformation equation n=6,l=0",
"error": 2.548989746560474e-16,
"tolerance": 4e-08,
"passed": true
},
{
"name": "complete first normal deformation equation n=6,l=1",
"error": 3.039688662872396e-16,
"tolerance": 4e-08,
"passed": true
},
{
"name": "complete first normal deformation equation n=6,l=2",
"error": 1.9699934037398011e-16,
"tolerance": 4e-08,
"passed": true
},
{
"name": "complete first normal deformation equation n=6,l=3",
"error": 1.9893680340024042e-16,
"tolerance": 4e-08,
"passed": true
},
{
"name": "complete first normal deformation equation n=6,l=4",
"error": 3.0671857639003005e-16,
"tolerance": 4e-08,
"passed": true
},
{
"name": "complete first normal deformation equation n=6,l=5",
"error": 2.524177564599749e-16,
"tolerance": 4e-08,
"passed": true
},
{
"name": "independent current and kernel frequency derivative n=6,b=15.5,g=1000.0",
"error": 8.629763570411342e-13,
"tolerance": 4e-09,
"passed": true
},
{
"name": "independent current and kernel frequency derivative n=6,b=15.5,g=10000.0",
"error": 8.625322678312841e-13,
"tolerance": 4e-09,
"passed": true
},
{
"name": "independent current and kernel frequency derivative n=6,b=37.5,g=1000.0",
"error": 8.626432901337466e-13,
"tolerance": 4e-09,
"passed": true
},
{
"name": "independent current and kernel frequency derivative n=6,b=37.5,g=10000.0",
"error": 8.627543124362091e-13,
"tolerance": 4e-09,
"passed": true
},
{
"name": "complete normal parallel kernel variation n=10",
"error": 0.0,
"tolerance": 3e-10,
"passed": true
},
{
"name": "constant texture variation leaves projected polarization unchanged at first order n=10",
"error": 0.0,
"tolerance": 3e-10,
"passed": true
},
{
"name": "independent endpoint-closing matrix element n=10",
"error": 2.118194508682336e-12,
"tolerance": 3e-09,
"passed": true
},
{
"name": "complete first normal deformation equation n=10,l=0",
"error": 3.11638044554158e-16,
"tolerance": 4e-08,
"passed": true
},
{
"name": "complete first normal deformation equation n=10,l=1",
"error": 3.2475597819748824e-16,
"tolerance": 4e-08,
"passed": true
},
{
"name": "complete first normal deformation equation n=10,l=2",
"error": 2.191596165699017e-16,
"tolerance": 4e-08,
"passed": true
},
{
"name": "complete first normal deformation equation n=10,l=3",
"error": 2.0445570310059196e-16,
"tolerance": 4e-08,
"passed": true
},
{
"name": "complete first normal deformation equation n=10,l=4",
"error": 1.9481168489818458e-16,
"tolerance": 4e-08,
"passed": true
},
{
"name": "complete first normal deformation equation n=10,l=5",
"error": 1.9246292489731592e-16,
"tolerance": 4e-08,
"passed": true
},
{
"name": "complete first normal deformation equation n=10,l=6",
"error": 2.070900363162438e-16,
"tolerance": 4e-08,
"passed": true
},
{
"name": "complete first normal deformation equation n=10,l=7",
"error": 2.1915961656990168e-16,
"tolerance": 4e-08,
"passed": true
},
{
"name": "complete first normal deformation equation n=10,l=8",
"error": 3.3309301383889866e-16,
"tolerance": 4e-08,
"passed": true
},
{
"name": "complete first normal deformation equation n=10,l=9",
"error": 3.053246492073327e-16,
"tolerance": 4e-08,
"passed": true
},
{
"name": "independent current and kernel frequency derivative n=10,b=27.5,g=1000.0",
"error": 3.792521852119535e-12,
"tolerance": 4e-09,
"passed": true
},
{
"name": "independent current and kernel frequency derivative n=10,b=27.5,g=10000.0",
"error": 3.79229980751461e-12,
"tolerance": 4e-09,
"passed": true
}
],
"results": [
{
"n": 1,
"beta": 2.0,
"coupling": 1000.0,
"frequency": 2.0,
"frequency_derivative_from_kernel": -621.0639219278333,
"frequency_derivative_from_full_current": -621.0639219265805,
"leading_endpoint_derivative": -621.0639219265806,
"fractional_texture_change_for_order_one_frequency": 0.0032202804403705667,
"endpoint_closing_coefficient": -0.6210639219265807
},
{
"n": 1,
"beta": 2.0,
"coupling": 10000.0,
"frequency": 2.0,
"frequency_derivative_from_kernel": -6210.639219278333,
"frequency_derivative_from_full_current": -6210.639219265805,
"leading_endpoint_derivative": -6210.639219265807,
"fractional_texture_change_for_order_one_frequency": 0.0003220280440370567,
"endpoint_closing_coefficient": -0.6210639219265807
},
{
"n": 2,
"beta": 2.5,
"coupling": 1000.0,
"frequency": 0.009791351723841797,
"frequency_derivative_from_kernel": 692.6010781035984,
"frequency_derivative_from_full_current": 692.6010781024582,
"leading_endpoint_derivative": 692.6130670480793,
"fractional_texture_change_for_order_one_frequency": 1.4137072599810966e-05,
"endpoint_closing_coefficient": -0.6926130670480793
},
{
"n": 2,
"beta": 2.5,
"coupling": 10000.0,
"frequency": 0.0009791519519969413,
"frequency_derivative_from_kernel": 6926.129471540547,
"frequency_derivative_from_full_current": 6926.129471529144,
"leading_endpoint_derivative": 6926.130670480793,
"fractional_texture_change_for_order_one_frequency": 1.4137072603419945e-07,
"endpoint_closing_coefficient": -0.6926130670480793
},
{
"n": 6,
"beta": 15.5,
"coupling": 1000.0,
"frequency": 8.722602725053707e-08,
"frequency_derivative_from_kernel": 614.5691049806593,
"frequency_derivative_from_full_current": 614.5691049811896,
"leading_endpoint_derivative": 614.93159068479,
"fractional_texture_change_for_order_one_frequency": 1.4193038104837182e-10,
"endpoint_closing_coefficient": -0.61493159068479
},
{
"n": 6,
"beta": 15.5,
"coupling": 10000.0,
"frequency": 8.727696045119033e-13,
"frequency_derivative_from_kernel": 6149.279654323611,
"frequency_derivative_from_full_current": 6149.279654328915,
"leading_endpoint_derivative": 6149.3159068479,
"fractional_texture_change_for_order_one_frequency": 1.4193038104837186e-16,
"endpoint_closing_coefficient": -0.61493159068479
},
{
"n": 6,
"beta": 37.5,
"coupling": 1000.0,
"frequency": 1.7984975143392747e-05,
"frequency_derivative_from_kernel": 612.8554678657764,
"frequency_derivative_from_full_current": 612.855467866305,
"leading_endpoint_derivative": 614.93159068479,
"fractional_texture_change_for_order_one_frequency": 2.9346193493236787e-08,
"endpoint_closing_coefficient": -0.61493159068479
},
{
"n": 6,
"beta": 37.5,
"coupling": 10000.0,
"frequency": 1.804529182506126e-10,
"frequency_derivative_from_kernel": 6149.108172821255,
"frequency_derivative_from_full_current": 6149.10817282656,
"leading_endpoint_derivative": 6149.3159068479,
"fractional_texture_change_for_order_one_frequency": 2.934619349323689e-14,
"endpoint_closing_coefficient": -0.61493159068479
},
{
"n": 10,
"beta": 27.5,
"coupling": 1000.0,
"frequency": 5.890978878318053e-12,
"frequency_derivative_from_kernel": 557.379448495693,
"frequency_derivative_from_full_current": 557.379448497807,
"leading_endpoint_derivative": 558.4778428532173,
"fractional_texture_change_for_order_one_frequency": 1.0569063667838538e-14,
"endpoint_closing_coefficient": -0.5584778428532173
},
{
"n": 10,
"beta": 27.5,
"coupling": 10000.0,
"frequency": 5.902471746456732e-21,
"frequency_derivative_from_kernel": 5584.668549585387,
"frequency_derivative_from_full_current": 5584.668549606566,
"leading_endpoint_derivative": 5584.778428532173,
"fractional_texture_change_for_order_one_frequency": 1.0569063667838542e-24,
"endpoint_closing_coefficient": -0.5584778428532173
}
],
"raw_data": {
"path": "holomorphic-kernel-variation-20260914T061555_811538Z.npz",
"sha256": "cc2b1912105eb24e8e712eacfa44642a9ffd30c05d313685453ed9cbef345849"
},
"sources": {
"holomorphic_normal_dirac.py": "cbad4bac29e247f7949392bee2c86100d7196c8dcf4b8c6be19e1c4d226bc7b8",
"holomorphic_normal_stress.py": "b2c953fdbaaabd93f832926244fdf39c5b755dc4cee068406a358cfa96fbc66a",
"holomorphic_normal_source.py": "4e948b4fc0715ca4e5ebd5a10e1b7d16baed085207f8ab23b639d807290adc84",
"holomorphic_kernel_variation.py": "c62307746d83444bb115ef3ad83be2777383832bf7c2ad5158314302b3e8d81e",
"holomorphic_kernel_variation_checks.py": "ee4b63f9b914c5cf2e5f4b078d846f9ec91f144ddacc6f9600f797592b006f2c"
}
}