Recorded data and provenance for the associated calculation.
| timestamp | 2026-09-12T14:25:20.410968+00:00 |
|---|---|
| execution_mode | optimized |
| scope | Independent balanced-population response, geometric vertex and reciprocity checks. |
| checks | 271 |
| maximum_scaled_error | 1.6653345369377348e-10 |
View complete data
{
"timestamp": "2026-09-12T14:25:20.410968+00:00",
"execution_mode": "optimized",
"scope": "Independent balanced-population response, geometric vertex and reciprocity checks.",
"checks": 271,
"maximum_scaled_error": 1.6653345369377348e-10,
"results": {
"balanced_response": [
{
"rank": 2,
"total_norm": 3.6209918857589365,
"scalar_excess": 0.8
},
{
"rank": 3,
"total_norm": 5.763512370567411,
"scalar_excess": 1.2000000000000002
},
{
"rank": 4,
"total_norm": 6.017453699902273,
"scalar_excess": 1.6
}
],
"master_projection": [
{
"depth": 1,
"degree": 2,
"projected_gap": 0.8
},
{
"depth": 2,
"degree": 3,
"projected_gap": 1.2000000000000002
},
{
"depth": 3,
"degree": 2,
"projected_gap": 1.0666666666666667
},
{
"depth": 6,
"degree": 1,
"projected_gap": 0.7000000000000001
},
{
"depth": 6,
"degree": 2,
"projected_gap": 1.2444444444444445
}
],
"common_geometric_vertex": [
{
"depth": 5,
"target_degree": 9,
"rate": 0.02,
"force": 0.01818838016377795,
"force_over_rate": 0.9094190081888975,
"adiabatic_limit": 0.9094110754743323,
"actual_projected_gap": 3.6
},
{
"depth": 5,
"target_degree": 9,
"rate": 0.002,
"force": 0.001818822309633483,
"force_over_rate": 0.9094111548167415,
"adiabatic_limit": 0.9094110754743323,
"actual_projected_gap": 3.6
},
{
"depth": 5,
"target_degree": 9,
"rate": 0.0002,
"force": 0.00018188221525337054,
"force_over_rate": 0.9094110762668527,
"adiabatic_limit": 0.9094110754743323,
"actual_projected_gap": 3.6
},
{
"depth": 5,
"target_degree": 14,
"rate": 0.02,
"force": 0.018188338077851317,
"force_over_rate": 0.9094169038925659,
"adiabatic_limit": 0.9094110754743323,
"actual_projected_gap": 4.2
},
{
"depth": 5,
"target_degree": 14,
"rate": 0.002,
"force": 0.0018188222675332266,
"force_over_rate": 0.9094111337666133,
"adiabatic_limit": 0.9094110754743323,
"actual_projected_gap": 4.2
},
{
"depth": 5,
"target_degree": 14,
"rate": 0.0002,
"force": 0.0001818822152114041,
"force_over_rate": 0.9094110760570205,
"adiabatic_limit": 0.9094110754743323,
"actual_projected_gap": 4.2
},
{
"depth": 5,
"target_degree": 21,
"rate": 0.02,
"force": 0.01818831593243073,
"force_over_rate": 0.9094157966215365,
"adiabatic_limit": 0.9094110754743323,
"actual_projected_gap": 4.666666666666666
},
{
"depth": 5,
"target_degree": 21,
"rate": 0.002,
"force": 0.0018188222453825675,
"force_over_rate": 0.9094111226912837,
"adiabatic_limit": 0.9094110754743323,
"actual_projected_gap": 4.666666666666666
},
{
"depth": 5,
"target_degree": 21,
"rate": 0.0002,
"force": 0.00018188221518979918,
"force_over_rate": 0.9094110759489958,
"adiabatic_limit": 0.9094110754743323,
"actual_projected_gap": 4.666666666666666
},
{
"depth": 6,
"target_degree": 12,
"rate": 0.02,
"force": 0.018188326713903868,
"force_over_rate": 0.9094163356951934,
"adiabatic_limit": 0.9094110754743323,
"actual_projected_gap": 4.421052631578947
},
{
"depth": 6,
"target_degree": 12,
"rate": 0.002,
"force": 0.0018188222561660748,
"force_over_rate": 0.9094111280830374,
"adiabatic_limit": 0.9094110754743323,
"actual_projected_gap": 4.421052631578947
},
{
"depth": 6,
"target_degree": 12,
"rate": 0.0002,
"force": 0.0001818822152003685,
"force_over_rate": 0.9094110760018425,
"adiabatic_limit": 0.9094110754743323,
"actual_projected_gap": 4.421052631578947
},
{
"depth": 6,
"target_degree": 34,
"rate": 0.02,
"force": 0.018188282536584065,
"force_over_rate": 0.9094141268292033,
"adiabatic_limit": 0.9094110754743323,
"actual_projected_gap": 5.8048780487804885
},
{
"depth": 6,
"target_degree": 34,
"rate": 0.002,
"force": 0.0018188222119813302,
"force_over_rate": 0.9094111059906651,
"adiabatic_limit": 0.9094110754743323,
"actual_projected_gap": 5.8048780487804885
},
{
"depth": 6,
"target_degree": 34,
"rate": 0.0002,
"force": 0.00018188221515622602,
"force_over_rate": 0.9094110757811301,
"adiabatic_limit": 0.9094110754743323,
"actual_projected_gap": 5.8048780487804885
},
{
"depth": 10,
"target_degree": 22,
"rate": 0.02,
"force": 0.018188259749517585,
"force_over_rate": 0.9094129874758793,
"adiabatic_limit": 0.9094110754743323,
"actual_projected_gap": 7.333333333333333
},
{
"depth": 10,
"target_degree": 22,
"rate": 0.002,
"force": 0.0018188221891906051,
"force_over_rate": 0.9094110945953026,
"adiabatic_limit": 0.9094110754743323,
"actual_projected_gap": 7.333333333333333
},
{
"depth": 10,
"target_degree": 22,
"rate": 0.0002,
"force": 0.0001818822151336885,
"force_over_rate": 0.9094110756684425,
"adiabatic_limit": 0.9094110754743323,
"actual_projected_gap": 7.333333333333333
}
],
"full_reciprocity": [
{
"depth": 2,
"degree": 3,
"canonical_target_ray_coefficient": 2.4000000000000004
},
{
"depth": 6,
"degree": 12,
"canonical_target_ray_coefficient": 9.600000000000001
},
{
"depth": 6,
"degree": 34,
"canonical_target_ray_coefficient": 27.200000000000003
}
],
"orientation_spectrum": [
{
"depth": 5,
"degree": 9,
"signed_frequencies": [
-3.0667914585353633,
2.3467914585353635
],
"scope": "Two-ray orientation block; not full spatial stability"
},
{
"depth": 5,
"degree": 21,
"signed_frequencies": [
-3.7379415164991956,
3.017941516499196
],
"scope": "Two-ray orientation block; not full spatial stability"
},
{
"depth": 6,
"degree": 12,
"signed_frequencies": [
-3.6340259809271407,
2.8990259809271413
],
"scope": "Two-ray orientation block; not full spatial stability"
},
{
"depth": 6,
"degree": 34,
"signed_frequencies": [
-4.5183008699690275,
3.783300869969028
],
"scope": "Two-ray orientation block; not full spatial stability"
},
{
"depth": 10,
"degree": 22,
"signed_frequencies": [
-5.670515059523001,
4.900515059523001
],
"scope": "Two-ray orientation block; not full spatial stability"
}
]
},
"source_sha256": {
"experiments/balanced_dirac_response_checks.py": "8940b25fbf387421b277cd09a20592aae53ed102da90bbdb72af9308131d33b8",
"experiments/balanced_dirac_response.py": "c95d8b95a9d6069e8d9b910cf539a06f81a061b7d88814f5e3adbd2ca1b86911",
"experiments/dirac_current_reduction_checks.py": "b26dd1108f49c5b7254d56966739b9f67bf04d521def9d289d8b183636b36c7a",
"experiments/dirac_current_reduction.py": "e9a907c42f83662ade7a9ce8baba55a3c0e880c99ac5480b578beb6e381738e9",
"experiments/graded_current_tower.py": "cf0f72cb6d078df086ec594550155d6518b00255ed46a16d669790edb093a602",
"experiments/coherent_mode_algebra.py": "4fbcbb6a1fbaa5a1a7de387746eda4d00f69fe22bbdb1e906c8795f8bb786dff",
"experiments/spatial_dirac_mode_checks.py": "116a9f6d0f3cbcf9ee2fbe7a762e09c113194a07591191dd6663f5bcb8364552"
}
}