Recorded data and provenance for the associated calculation.
| timestamp | 2026-09-12T12:01:24.982452+00:00 |
|---|---|
| scope | Exact current weights of a smooth coherent scalar projection. The product calculation and partial-current calculation are independent. This verifies the projection algebra and its canonical normalization; it does not derive the different shell weights of the inverse mass action. |
| checks | 345 |
View complete data
{
"timestamp": "2026-09-12T12:01:24.982452+00:00",
"scope": "Exact current weights of a smooth coherent scalar projection.\n\nThe product calculation and partial-current calculation are independent.\nThis verifies the projection algebra and its canonical normalization; it\ndoes not derive the different shell weights of the inverse mass action.\n",
"projection": [
{
"degrees": [
0,
3
],
"depth": 2,
"active_slots": 3,
"signed_integral": 0.0401524078991192,
"relative_error": 1.249000902703301e-16
},
{
"degrees": [
1,
2
],
"depth": 3,
"active_slots": 4,
"signed_integral": 0.017953003806021245,
"relative_error": 1.0408340855860843e-16
},
{
"degrees": [
2,
2
],
"depth": 2,
"active_slots": 3,
"signed_integral": 0.0185937640073665,
"relative_error": 1.491862189340054e-16
},
{
"degrees": [
2,
4
],
"depth": 2,
"active_slots": 3,
"signed_integral": 0.08626152883832285,
"relative_error": 9.71445146547012e-17
},
{
"degrees": [
3,
5
],
"depth": 6,
"active_slots": 2,
"signed_integral": -0.4366151970691655,
"relative_error": 6.661338147750939e-16
},
{
"degrees": [
12,
34
],
"depth": 6,
"active_slots": 2,
"signed_integral": 3.906222869855548,
"relative_error": 4.2064422107743034e-15
}
],
"weights": [
{
"degree": 12,
"depth": 6,
"desired_sum": 18564,
"actual_coherent_sum": 580.3917241379311,
"smooth_mean_order": 6.0,
"desired_mean_order": 10.285714285714286
},
{
"degree": 34,
"depth": 6,
"desired_sum": 3838380,
"actual_coherent_sum": 79530.89615716934,
"smooth_mean_order": 17.0,
"desired_mean_order": 29.142857142857142
}
],
"canonical_copy_lift": [
{
"degree": 2,
"depth": 2,
"kinetic_multiplier": 6,
"canonical_quartic_source": 0.023116666666666664,
"canonical_root_source": 0.11
},
{
"degree": 4,
"depth": 3,
"kinetic_multiplier": 35,
"canonical_quartic_source": 0.003962857142857143,
"canonical_root_source": 0.11
},
{
"degree": 12,
"depth": 6,
"kinetic_multiplier": 18564,
"canonical_quartic_source": 7.4714501185089415e-06,
"canonical_root_source": 0.11
},
{
"degree": 34,
"depth": 6,
"kinetic_multiplier": 3838380,
"canonical_quartic_source": 3.6135036135036134e-08,
"canonical_root_source": 0.11
}
],
"real_rotation_bounds": [
{
"depth": 5,
"degree": 12,
"lower_bound": 27.502222222222223,
"tower_mean": 48.23155428200522
},
{
"depth": 5,
"degree": 34,
"lower_bound": 352.5762400489896,
"tower_mean": 597.6029093491453
},
{
"depth": 6,
"degree": 12,
"lower_bound": 32.88077259063721,
"tower_mean": 59.40643787384033
},
{
"depth": 6,
"degree": 34,
"lower_bound": 587.3492385322528,
"tower_mean": 1023.8361270835996
}
],
"checks": 345,
"source_sha256": {
"smooth_current_projection_checks.py": "a97c53262f5ffd260a851b809868e8eb020435bbc870534d72788b8a9a68e414",
"graded_current_tower.py": "cf0f72cb6d078df086ec594550155d6518b00255ed46a16d669790edb093a602",
"coherent_mode_algebra.py": "4fbcbb6a1fbaa5a1a7de387746eda4d00f69fe22bbdb1e906c8795f8bb786dff"
}
}