Recorded data and provenance for the associated calculation.
| protocol_sha256 | 631f7e179bd1d7edaee66620167944fd5063adf03cc77c5605feb4a10bc31c03 |
|---|---|
| checks_completed | 402 |
| stationarity_error | 1.960237527853792e-16 |
| benchmark_strength | 0.000052761925321406756 |
| reference_prediction_survives_tested_family | true |
| stronger_positive_coupling_claim_survives | false |
| rejected_scan_points | 23 |
View complete data
{
"protocol_sha256": "631f7e179bd1d7edaee66620167944fd5063adf03cc77c5605feb4a10bc31c03",
"checks_completed": 402,
"scan": [
{
"strength": 5.2761925321406756e-05,
"q": 0.25,
"texture": "sin",
"eigenvalues": [
0.11765500368983506,
0.11765500368983506,
0.11765500368983506,
0.11765500368983506,
0.11765816185494155,
0.11765816185494155
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 5.2761925321406756e-05,
"q": 0.25,
"texture": "cos",
"eigenvalues": [
0.007343910701614249,
0.007343910701614249,
0.007343910701614249,
0.007343910701614249,
0.0073440093621598545,
0.0073440093621598545
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 5.2761925321406756e-05,
"q": 0.5,
"texture": "sin",
"eigenvalues": [
0.40162894205055155,
0.40162894205055155,
0.40162894205055155,
0.40162894205055155,
0.401640110683372,
0.401640110683372
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 5.2761925321406756e-05,
"q": 0.5,
"texture": "cos",
"eigenvalues": [
0.098366872120836,
0.098366872120836,
0.098366872120836,
0.098366872120836,
0.09836826097385291,
0.09836826097385291
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 5.2761925321406756e-05,
"q": 1.0,
"texture": "sin",
"eigenvalues": [
1.1353253101963385,
1.1353253101963385,
1.1353253101963385,
1.1353253101963385,
1.1353552293171616,
1.1353552293171616
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 5.2761925321406756e-05,
"q": 1.0,
"texture": "cos",
"eigenvalues": [
0.8646601080503664,
0.8646601080503664,
0.8646601080503664,
0.8646601080503664,
0.864673934189429,
0.864673934189429
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 5.2761925321406756e-05,
"q": 2.0,
"texture": "sin",
"eigenvalues": [
4.001322760236675,
4.001322760236675,
4.001322760236675,
4.001322760236675,
4.001380031061478,
4.001380031061478
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 5.2761925321406756e-05,
"q": 2.0,
"texture": "cos",
"eigenvalues": [
3.998639745936842,
3.998639745936842,
3.998639745936842,
3.998639745936842,
3.998694956591486,
3.998694956591486
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 5.2761925321406756e-05,
"q": 4.0,
"texture": "sin",
"eigenvalues": [
15.999970647740913,
15.999970647740913,
15.999970647740913,
15.999970647740913,
16.000058704518782,
16.000058704518782
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 5.2761925321406756e-05,
"q": 4.0,
"texture": "cos",
"eigenvalues": [
15.999970647747114,
15.999970647747114,
15.999970647747114,
15.999970647747114,
16.000058704505165,
16.000058704505165
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 1.0,
"q": 0.25,
"texture": "sin",
"eigenvalues": [
0.0977037575568263,
0.0977037575568263,
0.0977037575568263,
0.0977037575568263,
0.15756065412095904,
0.15756065412095904
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 1.0,
"q": 0.25,
"texture": "cos",
"eigenvalues": [
0.0067206371352807725,
0.0067206371352807725,
0.0067206371352807725,
0.0067206371352807725,
0.008590556494826807,
0.008590556494826807
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 1.0,
"q": 0.5,
"texture": "sin",
"eigenvalues": [
0.33107273778105933,
0.33107273778105933,
0.33107273778105933,
0.33107273778105933,
0.5427525192223565,
0.5427525192223565
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 1.0,
"q": 0.5,
"texture": "cos",
"eigenvalues": [
0.08959299632631473,
0.08959299632631473,
0.08959299632631473,
0.08959299632631473,
0.11591601256289545,
0.11591601256289545
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 1.0,
"q": 1.0,
"texture": "sin",
"eigenvalues": [
0.9463156404996491,
0.9463156404996491,
0.9463156404996491,
0.9463156404996491,
1.5133745687105402,
1.5133745687105402
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 1.0,
"q": 1.0,
"texture": "cos",
"eigenvalues": [
0.777315496795479,
0.777315496795479,
0.777315496795479,
0.777315496795479,
1.0393631566992039,
1.0393631566992039
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 1.0,
"q": 2.0,
"texture": "sin",
"eigenvalues": [
3.6395227012270595,
3.6395227012270595,
3.6395227012270595,
3.6395227012270595,
4.724980149080709,
4.724980149080709
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 1.0,
"q": 2.0,
"texture": "cos",
"eigenvalues": [
3.6498545105785145,
3.6498545105785145,
3.6498545105785145,
3.6498545105785145,
4.69626542730814,
4.69626542730814
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 1.0,
"q": 4.0,
"texture": "sin",
"eigenvalues": [
15.44368483311862,
15.44368483311862,
15.44368483311862,
15.44368483311862,
17.112630333763367,
17.112630333763367
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 1.0,
"q": 4.0,
"texture": "cos",
"eigenvalues": [
15.44368495832825,
15.44368495832825,
15.44368495832825,
15.44368495832825,
17.112630083342893,
17.112630083342893
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 8.0,
"q": 0.25,
"texture": "sin",
"eigenvalues": [
-0.04196233442615015,
-0.04196233442615015,
-0.04196233442615015,
-0.04196233442615015,
0.4368928380869119,
0.4368928380869119
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 8.0,
"q": 0.25,
"texture": "cos",
"eigenvalues": [
0.0023574919630066932,
0.0023574919630066932,
0.0023574919630066932,
0.0023574919630066932,
0.017316846839374966,
0.017316846839374966
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 8.0,
"q": 0.5,
"texture": "sin",
"eigenvalues": [
-0.16284675224863393,
-0.16284675224863393,
-0.16284675224863393,
-0.16284675224863393,
1.5305914992817429,
1.5305914992817429
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 8.0,
"q": 0.5,
"texture": "cos",
"eigenvalues": [
0.028172625107626414,
0.028172625107626414,
0.028172625107626414,
0.028172625107626414,
0.2387567550002721,
0.2387567550002721
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 8.0,
"q": 1.0,
"texture": "sin",
"eigenvalues": [
-0.37682185865909634,
-0.37682185865909634,
-0.37682185865909634,
-0.37682185865909634,
4.159649567028032,
4.159649567028032
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 8.0,
"q": 1.0,
"texture": "cos",
"eigenvalues": [
0.165870957020121,
0.165870957020121,
0.165870957020121,
0.165870957020121,
2.26225223624992,
2.26225223624992
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 8.0,
"q": 2.0,
"texture": "sin",
"eigenvalues": [
1.1067886562352092,
1.1067886562352092,
1.1067886562352092,
1.1067886562352092,
9.790448239064407,
9.790448239064407
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 8.0,
"q": 2.0,
"texture": "cos",
"eigenvalues": [
1.2082290382093857,
1.2082290382093857,
1.2082290382093857,
1.2082290382093857,
9.579516372046395,
9.579516372046395
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 8.0,
"q": 4.0,
"texture": "sin",
"eigenvalues": [
11.549478664947546,
11.549478664947546,
11.549478664947546,
11.549478664947546,
24.90104267010551,
24.90104267010551
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 8.0,
"q": 4.0,
"texture": "cos",
"eigenvalues": [
11.54947966662742,
11.54947966662742,
11.54947966662742,
11.54947966662742,
24.90104066674455,
24.90104066674455
],
"verdict": "positive_in_tested_subspace"
},
{
"strength": 32.0,
"q": 0.25,
"texture": "sin",
"eigenvalues": [
-0.5208175069392122,
-0.5208175069392122,
-0.5208175069392122,
-0.5208175069392122,
1.394603183113036,
1.394603183113036
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 32.0,
"q": 0.25,
"texture": "cos",
"eigenvalues": [
-0.01260186291336158,
-0.01260186291336158,
-0.01260186291336158,
-0.01260186291336158,
0.04723555659211151,
0.04723555659211151
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 32.0,
"q": 0.5,
"texture": "sin",
"eigenvalues": [
-1.8562850037790108,
-1.8562850037790108,
-1.8562850037790108,
-1.8562850037790108,
4.917468002342496,
4.917468002342496
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 32.0,
"q": 0.5,
"texture": "cos",
"eigenvalues": [
-0.18241150478501927,
-0.18241150478501927,
-0.18241150478501927,
-0.18241150478501927,
0.6599250147855635,
0.6599250147855635
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 32.0,
"q": 1.0,
"texture": "sin",
"eigenvalues": [
-4.913293284346224,
-4.913293284346224,
-4.913293284346224,
-4.913293284346224,
13.232592418402286,
13.232592418402286
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 32.0,
"q": 1.0,
"texture": "cos",
"eigenvalues": [
-1.930510322209678,
-1.930510322209678,
-1.930510322209678,
-1.930510322209678,
6.455014794709518,
6.455014794709518
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 32.0,
"q": 2.0,
"texture": "sin",
"eigenvalues": [
-7.576870926593992,
-7.576870926593992,
-7.576870926593992,
-7.576870926593992,
27.157767404722797,
27.157767404722797
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 32.0,
"q": 2.0,
"texture": "cos",
"eigenvalues": [
-7.163058295627627,
-7.163058295627627,
-7.163058295627627,
-7.163058295627627,
26.32209103972041,
26.32209103972041
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 32.0,
"q": 4.0,
"texture": "sin",
"eigenvalues": [
-1.802085340210425,
-1.802085340210425,
-1.802085340210425,
-1.802085340210425,
51.60417068042145,
51.60417068042145
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 32.0,
"q": 4.0,
"texture": "cos",
"eigenvalues": [
-1.80208133348971,
-1.80208133348971,
-1.80208133348971,
-1.80208133348971,
51.604162666978795,
51.604162666978795
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 128.0,
"q": 0.25,
"texture": "sin",
"eigenvalues": [
-2.4362381969914604,
-2.4362381969914604,
-2.4362381969914604,
-2.4362381969914604,
5.225444563217533,
5.225444563217533
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 128.0,
"q": 0.25,
"texture": "cos",
"eigenvalues": [
-0.07243928241883467,
-0.07243928241883467,
-0.07243928241883467,
-0.07243928241883467,
0.1669103956030577,
0.1669103956030577
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 128.0,
"q": 0.5,
"texture": "sin",
"eigenvalues": [
-8.630038009900519,
-8.630038009900519,
-8.630038009900519,
-8.630038009900519,
18.46497401458551,
18.46497401458551
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 128.0,
"q": 0.5,
"texture": "cos",
"eigenvalues": [
-1.024748024355602,
-1.024748024355602,
-1.024748024355602,
-1.024748024355602,
2.344598053926729,
2.344598053926729
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 128.0,
"q": 1.0,
"texture": "sin",
"eigenvalues": [
-23.059178987094732,
-23.059178987094732,
-23.059178987094732,
-23.059178987094732,
49.52436382389931,
49.52436382389931
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 128.0,
"q": 1.0,
"texture": "cos",
"eigenvalues": [
-10.316035439128873,
-10.316035439128873,
-10.316035439128873,
-10.316035439128873,
23.226065028547907,
23.226065028547907
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 128.0,
"q": 2.0,
"texture": "sin",
"eigenvalues": [
-42.3115092579108,
-42.3115092579108,
-42.3115092579108,
-42.3115092579108,
96.62704406735637,
96.62704406735637
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 128.0,
"q": 2.0,
"texture": "cos",
"eigenvalues": [
-40.648207630975676,
-40.648207630975676,
-40.648207630975676,
-40.648207630975676,
93.29238971041647,
93.29238971041647
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 128.0,
"q": 4.0,
"texture": "sin",
"eigenvalues": [
-55.20834136084231,
-55.20834136084231,
-55.20834136084231,
-55.20834136084231,
158.41668272168516,
158.41668272168516
],
"verdict": "rejected_negative_curvature"
},
{
"strength": 128.0,
"q": 4.0,
"texture": "cos",
"eigenvalues": [
-55.20832533395823,
-55.20832533395823,
-55.20832533395823,
-55.20832533395823,
158.4166506679158,
158.4166506679158
],
"verdict": "rejected_negative_curvature"
}
],
"independent_probes": [
{
"strength": 5.2761925321406756e-05,
"q": 0.5,
"texture": "sin",
"tangent": 0,
"predicted": 0.40162894205055155,
"curvatures": [
0.4016289422841002,
0.4016289421089409,
0.40162894206514904
],
"energy_change": 5.020361775814363e-06
},
{
"strength": 5.2761925321406756e-05,
"q": 0.5,
"texture": "sin",
"tangent": 1,
"predicted": 0.40162894205055155,
"curvatures": [
0.4016289422841002,
0.4016289421089409,
0.40162894206514904
],
"energy_change": 5.020361775814363e-06
},
{
"strength": 5.2761925321406756e-05,
"q": 0.5,
"texture": "sin",
"tangent": 2,
"predicted": 0.40162894205055155,
"curvatures": [
0.4016289422841002,
0.4016289421089409,
0.40162894206514904
],
"energy_change": 5.020361775814363e-06
},
{
"strength": 5.2761925321406756e-05,
"q": 0.5,
"texture": "sin",
"tangent": 3,
"predicted": 0.40162894205055155,
"curvatures": [
0.4016289422841002,
0.4016289421089409,
0.40162894206514904
],
"energy_change": 5.020361775814363e-06
},
{
"strength": 5.2761925321406756e-05,
"q": 0.5,
"texture": "sin",
"tangent": 4,
"predicted": 0.401640110683372,
"curvatures": [
0.4016401102162749,
0.40164011056659354,
0.4016401106541771
],
"energy_change": 5.020501383177214e-06
},
{
"strength": 5.2761925321406756e-05,
"q": 0.5,
"texture": "sin",
"tangent": 5,
"predicted": 0.401640110683372,
"curvatures": [
0.4016401102162749,
0.40164011056659354,
0.4016401106541771
],
"energy_change": 5.020501383177214e-06
},
{
"strength": 5.2761925321406756e-05,
"q": 0.5,
"texture": "cos",
"tangent": 0,
"predicted": 0.098366872120836,
"curvatures": [
0.0983668721299387,
0.09836687212311178,
0.09836687212140456
],
"energy_change": 1.229585901517557e-06
},
{
"strength": 5.2761925321406756e-05,
"q": 0.5,
"texture": "cos",
"tangent": 1,
"predicted": 0.098366872120836,
"curvatures": [
0.0983668721299387,
0.09836687212311178,
0.09836687212140456
],
"energy_change": 1.229585901517557e-06
},
{
"strength": 5.2761925321406756e-05,
"q": 0.5,
"texture": "cos",
"tangent": 2,
"predicted": 0.098366872120836,
"curvatures": [
0.0983668721299387,
0.09836687212311178,
0.09836687212140456
],
"energy_change": 1.229585901517557e-06
},
{
"strength": 5.2761925321406756e-05,
"q": 0.5,
"texture": "cos",
"tangent": 3,
"predicted": 0.098366872120836,
"curvatures": [
0.0983668721299387,
0.09836687212311178,
0.09836687212140456
],
"energy_change": 1.229585901517557e-06
},
{
"strength": 5.2761925321406756e-05,
"q": 0.5,
"texture": "cos",
"tangent": 4,
"predicted": 0.09836826097385291,
"curvatures": [
0.09836826095564742,
0.09836826096930139,
0.09836826097271473
],
"energy_change": 1.2296032621589341e-06
},
{
"strength": 5.2761925321406756e-05,
"q": 0.5,
"texture": "cos",
"tangent": 5,
"predicted": 0.09836826097385291,
"curvatures": [
0.09836826095564742,
0.09836826096930139,
0.09836826097271473
],
"energy_change": 1.2296032621589341e-06
},
{
"strength": 5.2761925321406756e-05,
"q": 1.0,
"texture": "sin",
"tangent": 0,
"predicted": 1.1353253101963385,
"curvatures": [
1.13532531175514,
1.1353253105860681,
1.1353253102937728
],
"energy_change": 1.4191566378672161e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 1.0,
"texture": "sin",
"tangent": 1,
"predicted": 1.1353253101963385,
"curvatures": [
1.13532531175514,
1.1353253105860681,
1.1353253102937728
],
"energy_change": 1.4191566378672161e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 1.0,
"texture": "sin",
"tangent": 2,
"predicted": 1.1353253101963385,
"curvatures": [
1.13532531175514,
1.1353253105860681,
1.1353253102937728
],
"energy_change": 1.4191566378672161e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 1.0,
"texture": "sin",
"tangent": 3,
"predicted": 1.1353253101963385,
"curvatures": [
1.13532531175514,
1.1353253105860681,
1.1353253102937728
],
"energy_change": 1.4191566378672161e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 1.0,
"texture": "sin",
"tangent": 4,
"predicted": 1.1353552293171616,
"curvatures": [
1.135355226199558,
1.1353552285377015,
1.1353552291222928
],
"energy_change": 1.4191940364028662e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 1.0,
"texture": "sin",
"tangent": 5,
"predicted": 1.1353552293171616,
"curvatures": [
1.135355226199558,
1.1353552285377015,
1.1353552291222928
],
"energy_change": 1.4191940364028662e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 1.0,
"texture": "cos",
"tangent": 0,
"predicted": 0.8646601080503664,
"curvatures": [
0.8646601085873991,
0.864660108184633,
0.8646601080839345
],
"energy_change": 1.0808251351049182e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 1.0,
"texture": "cos",
"tangent": 1,
"predicted": 0.8646601080503664,
"curvatures": [
0.8646601085873991,
0.864660108184633,
0.8646601080839345
],
"energy_change": 1.0808251351049182e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 1.0,
"texture": "cos",
"tangent": 2,
"predicted": 0.8646601080503664,
"curvatures": [
0.8646601085873991,
0.864660108184633,
0.8646601080839345
],
"energy_change": 1.0808251351049182e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 1.0,
"texture": "cos",
"tangent": 3,
"predicted": 0.8646601080503664,
"curvatures": [
0.8646601085873991,
0.864660108184633,
0.8646601080839345
],
"energy_change": 1.0808251351049182e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 1.0,
"texture": "cos",
"tangent": 4,
"predicted": 0.864673934189429,
"curvatures": [
0.8646739331153637,
0.8646739339208953,
0.864673934122294
],
"energy_change": 1.0808424176528675e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 1.0,
"texture": "cos",
"tangent": 5,
"predicted": 0.864673934189429,
"curvatures": [
0.8646739331153637,
0.8646739339208953,
0.864673934122294
],
"energy_change": 1.0808424176528675e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 2.0,
"texture": "sin",
"tangent": 0,
"predicted": 4.001322760236675,
"curvatures": [
4.001322764911033,
4.001322761405382,
4.00132276052886
],
"energy_change": 5.0016534506610756e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 2.0,
"texture": "sin",
"tangent": 1,
"predicted": 4.001322760236675,
"curvatures": [
4.001322764911033,
4.001322761405382,
4.00132276052886
],
"energy_change": 5.0016534506610756e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 2.0,
"texture": "sin",
"tangent": 2,
"predicted": 4.001322760236675,
"curvatures": [
4.001322764911033,
4.001322761405382,
4.00132276052886
],
"energy_change": 5.0016534506610756e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 2.0,
"texture": "sin",
"tangent": 3,
"predicted": 4.001322760236675,
"curvatures": [
4.001322764911033,
4.001322761405382,
4.00132276052886
],
"energy_change": 5.0016534506610756e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 2.0,
"texture": "sin",
"tangent": 4,
"predicted": 4.001380031061478,
"curvatures": [
4.001380021712763,
4.001380028724064,
4.001380030477111
],
"energy_change": 5.0017250380963886e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 2.0,
"texture": "sin",
"tangent": 5,
"predicted": 4.001380031061478,
"curvatures": [
4.001380021712763,
4.001380028724064,
4.001380030477111
],
"energy_change": 5.0017250380963886e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 2.0,
"texture": "cos",
"tangent": 0,
"predicted": 3.998639745936842,
"curvatures": [
3.9986397503883424,
3.9986397470498285,
3.9986397462150953
],
"energy_change": 4.9982996827688695e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 2.0,
"texture": "cos",
"tangent": 1,
"predicted": 3.998639745936842,
"curvatures": [
3.9986397503883424,
3.9986397470498285,
3.9986397462150953
],
"energy_change": 4.9982996827688695e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 2.0,
"texture": "cos",
"tangent": 2,
"predicted": 3.998639745936842,
"curvatures": [
3.9986397503883424,
3.9986397470498285,
3.9986397462150953
],
"energy_change": 4.9982996827688695e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 2.0,
"texture": "cos",
"tangent": 3,
"predicted": 3.998639745936842,
"curvatures": [
3.9986397503883424,
3.9986397470498285,
3.9986397462150953
],
"energy_change": 4.9982996827688695e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 2.0,
"texture": "cos",
"tangent": 4,
"predicted": 3.998694956591486,
"curvatures": [
3.9986949476884854,
3.998694954365513,
3.9986949560349787
],
"energy_change": 4.9983686950437234e-05
},
{
"strength": 5.2761925321406756e-05,
"q": 2.0,
"texture": "cos",
"tangent": 5,
"predicted": 3.998694956591486,
"curvatures": [
3.9986949476884854,
3.998694954365513,
3.9986949560349787
],
"energy_change": 4.9983686950437234e-05
},
{
"strength": 8.0,
"q": 0.5,
"texture": "sin",
"tangent": 0,
"predicted": -0.16284675224863393,
"curvatures": [
-0.16281134055162738,
-0.1628378990048418,
-0.16284453892012607
],
"energy_change": -2.035556736501576e-06
},
{
"strength": 8.0,
"q": 0.5,
"texture": "sin",
"tangent": 1,
"predicted": -0.16284675224863393,
"curvatures": [
-0.16281134055162738,
-0.1628378990048418,
-0.16284453892012607
],
"energy_change": -2.035556736501576e-06
},
{
"strength": 8.0,
"q": 0.5,
"texture": "sin",
"tangent": 2,
"predicted": -0.16284675224863393,
"curvatures": [
-0.16281134055162738,
-0.1628378990048418,
-0.16284453892012607
],
"energy_change": -2.035556736501576e-06
},
{
"strength": 8.0,
"q": 0.5,
"texture": "sin",
"tangent": 3,
"predicted": -0.16284675224863393,
"curvatures": [
-0.16281134055162738,
-0.1628378990048418,
-0.16284453892012607
],
"energy_change": -2.035556736501576e-06
},
{
"strength": 8.0,
"q": 0.5,
"texture": "sin",
"tangent": 4,
"predicted": 1.5305914992817429,
"curvatures": [
1.5305206759097523,
1.5305737928095198,
1.5305870726223247
],
"energy_change": 1.913233840777906e-05
},
{
"strength": 8.0,
"q": 0.5,
"texture": "sin",
"tangent": 5,
"predicted": 1.5305914992817429,
"curvatures": [
1.5305206759097523,
1.5305737928095198,
1.5305870726223247
],
"energy_change": 1.913233840777906e-05
},
{
"strength": 8.0,
"q": 0.5,
"texture": "cos",
"tangent": 0,
"predicted": 0.028172625107626414,
"curvatures": [
0.02817400529986358,
0.028172970170103895,
0.02817271134603061
],
"energy_change": 3.521588918253826e-07
},
{
"strength": 8.0,
"q": 0.5,
"texture": "cos",
"tangent": 1,
"predicted": 0.028172625107626414,
"curvatures": [
0.02817400529986358,
0.028172970170103895,
0.02817271134603061
],
"energy_change": 3.521588918253826e-07
},
{
"strength": 8.0,
"q": 0.5,
"texture": "cos",
"tangent": 2,
"predicted": 0.028172625107626414,
"curvatures": [
0.02817400529986358,
0.028172970170103895,
0.02817271134603061
],
"energy_change": 3.521588918253826e-07
},
{
"strength": 8.0,
"q": 0.5,
"texture": "cos",
"tangent": 3,
"predicted": 0.028172625107626414,
"curvatures": [
0.02817400529986358,
0.028172970170103895,
0.02817271134603061
],
"energy_change": 3.521588918253826e-07
},
{
"strength": 8.0,
"q": 0.5,
"texture": "cos",
"tangent": 4,
"predicted": 0.2387567550002721,
"curvatures": [
0.23875399459916125,
0.23875606487422374,
0.23875658243355247
],
"energy_change": 2.984457280419406e-06
},
{
"strength": 8.0,
"q": 0.5,
"texture": "cos",
"tangent": 5,
"predicted": 0.2387567550002721,
"curvatures": [
0.23875399459916125,
0.23875606487422374,
0.23875658243355247
],
"energy_change": 2.984457280419406e-06
},
{
"strength": 8.0,
"q": 1.0,
"texture": "sin",
"tangent": 0,
"predicted": -0.37682185865909634,
"curvatures": [
-0.37658550616104236,
-0.3767627660700157,
-0.3768070852316896
],
"energy_change": -4.71008856539612e-06
},
{
"strength": 8.0,
"q": 1.0,
"texture": "sin",
"tangent": 1,
"predicted": -0.37682185865909634,
"curvatures": [
-0.37658550616104236,
-0.3767627660700157,
-0.3768070852316896
],
"energy_change": -4.71008856539612e-06
},
{
"strength": 8.0,
"q": 1.0,
"texture": "sin",
"tangent": 2,
"predicted": -0.37682185865909634,
"curvatures": [
-0.37658550616104236,
-0.3767627660700157,
-0.3768070852316896
],
"energy_change": -4.71008856539612e-06
},
{
"strength": 8.0,
"q": 1.0,
"texture": "sin",
"tangent": 3,
"predicted": -0.37682185865909634,
"curvatures": [
-0.37658550616104236,
-0.3767627660700157,
-0.3768070852316896
],
"energy_change": -4.71008856539612e-06
},
{
"strength": 8.0,
"q": 1.0,
"texture": "sin",
"tangent": 4,
"predicted": 4.159649567028032,
"curvatures": [
4.159176862004177,
4.159531381819903,
4.159620020196542
],
"energy_change": 5.199525025245677e-05
},
{
"strength": 8.0,
"q": 1.0,
"texture": "sin",
"tangent": 5,
"predicted": 4.159649567028032,
"curvatures": [
4.159176862004177,
4.159531381819903,
4.159620020196542
],
"energy_change": 5.199525025245677e-05
},
{
"strength": 8.0,
"q": 1.0,
"texture": "cos",
"tangent": 0,
"predicted": 0.165870957020121,
"curvatures": [
0.16595238433225745,
0.1658913151292296,
0.16587604672935186
],
"energy_change": 2.073450584116898e-06
},
{
"strength": 8.0,
"q": 1.0,
"texture": "cos",
"tangent": 1,
"predicted": 0.165870957020121,
"curvatures": [
0.16595238433225745,
0.1658913151292296,
0.16587604672935186
],
"energy_change": 2.073450584116898e-06
},
{
"strength": 8.0,
"q": 1.0,
"texture": "cos",
"tangent": 2,
"predicted": 0.165870957020121,
"curvatures": [
0.16595238433225745,
0.1658913151292296,
0.16587604672935186
],
"energy_change": 2.073450584116898e-06
},
{
"strength": 8.0,
"q": 1.0,
"texture": "cos",
"tangent": 3,
"predicted": 0.165870957020121,
"curvatures": [
0.16595238433225745,
0.1658913151292296,
0.16587604672935186
],
"energy_change": 2.073450584116898e-06
},
{
"strength": 8.0,
"q": 1.0,
"texture": "cos",
"tangent": 4,
"predicted": 2.26225223624992,
"curvatures": [
2.2620893816593934,
2.2622115199588677,
2.262242056971786
],
"energy_change": 2.8278025712147326e-05
},
{
"strength": 8.0,
"q": 1.0,
"texture": "cos",
"tangent": 5,
"predicted": 2.26225223624992,
"curvatures": [
2.2620893816593934,
2.2622115199588677,
2.262242056971786
],
"energy_change": 2.8278025712147326e-05
},
{
"strength": 8.0,
"q": 2.0,
"texture": "sin",
"tangent": 0,
"predicted": 1.1067886562352092,
"curvatures": [
1.107497403320945,
1.106965860842024,
1.1068329585839365
],
"energy_change": 1.3835411982299206e-05
},
{
"strength": 8.0,
"q": 2.0,
"texture": "sin",
"tangent": 1,
"predicted": 1.1067886562352092,
"curvatures": [
1.107497403320945,
1.106965860842024,
1.1068329585839365
],
"energy_change": 1.3835411982299206e-05
},
{
"strength": 8.0,
"q": 2.0,
"texture": "sin",
"tangent": 2,
"predicted": 1.1067886562352092,
"curvatures": [
1.107497403320945,
1.106965860842024,
1.1068329585839365
],
"energy_change": 1.3835411982299206e-05
},
{
"strength": 8.0,
"q": 2.0,
"texture": "sin",
"tangent": 3,
"predicted": 1.1067886562352092,
"curvatures": [
1.107497403320945,
1.106965860842024,
1.1068329585839365
],
"energy_change": 1.3835411982299206e-05
},
{
"strength": 8.0,
"q": 2.0,
"texture": "sin",
"tangent": 4,
"predicted": 9.790448239064407,
"curvatures": [
9.789030744895566,
9.790093829842306,
9.790359634571644
],
"energy_change": 0.00012237949543214555
},
{
"strength": 8.0,
"q": 2.0,
"texture": "sin",
"tangent": 5,
"predicted": 9.790448239064407,
"curvatures": [
9.789030744895566,
9.790093829842306,
9.790359634571644
],
"energy_change": 0.00012237949543214555
},
{
"strength": 8.0,
"q": 2.0,
"texture": "cos",
"tangent": 0,
"predicted": 1.2082290382093857,
"curvatures": [
1.208903994642796,
1.2083977942367596,
1.208271228207991
],
"energy_change": 1.5103390352599888e-05
},
{
"strength": 8.0,
"q": 2.0,
"texture": "cos",
"tangent": 1,
"predicted": 1.2082290382093857,
"curvatures": [
1.208903994642796,
1.2083977942367596,
1.208271228207991
],
"energy_change": 1.5103390352599888e-05
},
{
"strength": 8.0,
"q": 2.0,
"texture": "cos",
"tangent": 2,
"predicted": 1.2082290382093857,
"curvatures": [
1.208903994642796,
1.2083977942367596,
1.208271228207991
],
"energy_change": 1.5103390352599888e-05
},
{
"strength": 8.0,
"q": 2.0,
"texture": "cos",
"tangent": 3,
"predicted": 1.2082290382093857,
"curvatures": [
1.208903994642796,
1.2083977942367596,
1.208271228207991
],
"energy_change": 1.5103390352599888e-05
},
{
"strength": 8.0,
"q": 2.0,
"texture": "cos",
"tangent": 4,
"predicted": 9.579516372046395,
"curvatures": [
9.578166459185411,
9.579178860024129,
9.579431991859622
],
"energy_change": 0.00011974289989824527
},
{
"strength": 8.0,
"q": 2.0,
"texture": "cos",
"tangent": 5,
"predicted": 9.579516372046395,
"curvatures": [
9.578166459185411,
9.579178860024129,
9.579431991859622
],
"energy_change": 0.00011974289989824527
},
{
"strength": 32.0,
"q": 0.5,
"texture": "sin",
"tangent": 0,
"predicted": -1.8562850037790108,
"curvatures": [
-1.8561433570063457,
-1.8562495908014398,
-1.856276150249414
],
"energy_change": -2.3203451878117676e-05
},
{
"strength": 32.0,
"q": 0.5,
"texture": "sin",
"tangent": 1,
"predicted": -1.8562850037790108,
"curvatures": [
-1.8561433570063457,
-1.8562495908014398,
-1.856276150249414
],
"energy_change": -2.3203451878117676e-05
},
{
"strength": 32.0,
"q": 0.5,
"texture": "sin",
"tangent": 2,
"predicted": -1.8562850037790108,
"curvatures": [
-1.8561433570063457,
-1.8562495908014398,
-1.856276150249414
],
"energy_change": -2.3203451878117676e-05
},
{
"strength": 32.0,
"q": 0.5,
"texture": "sin",
"tangent": 3,
"predicted": -1.8562850037790108,
"curvatures": [
-1.8561433570063457,
-1.8562495908014398,
-1.856276150249414
],
"energy_change": -2.3203451878117676e-05
},
{
"strength": 32.0,
"q": 0.5,
"texture": "sin",
"tangent": 4,
"predicted": 4.917468002342496,
"curvatures": [
4.9171847088569365,
4.9173971764560065,
4.917450295636172
],
"energy_change": 6.146812869545215e-05
},
{
"strength": 32.0,
"q": 0.5,
"texture": "sin",
"tangent": 5,
"predicted": 4.917468002342496,
"curvatures": [
4.9171847088569365,
4.9173971764560065,
4.917450295636172
],
"energy_change": 6.146812869545215e-05
},
{
"strength": 32.0,
"q": 0.5,
"texture": "cos",
"tangent": 0,
"predicted": -0.18241150478501927,
"curvatures": [
-0.18240598400609542,
-0.18241012455177952,
-0.18241115981254552
],
"energy_change": -2.280139497656819e-06
},
{
"strength": 32.0,
"q": 0.5,
"texture": "cos",
"tangent": 1,
"predicted": -0.18241150478501927,
"curvatures": [
-0.18240598400609542,
-0.18241012455177952,
-0.18241115981254552
],
"energy_change": -2.280139497656819e-06
},
{
"strength": 32.0,
"q": 0.5,
"texture": "cos",
"tangent": 2,
"predicted": -0.18241150478501927,
"curvatures": [
-0.18240598400609542,
-0.18241012455177952,
-0.18241115981254552
],
"energy_change": -2.280139497656819e-06
},
{
"strength": 32.0,
"q": 0.5,
"texture": "cos",
"tangent": 3,
"predicted": -0.18241150478501927,
"curvatures": [
-0.18240598400609542,
-0.18241012455177952,
-0.18241115981254552
],
"energy_change": -2.280139497656819e-06
},
{
"strength": 32.0,
"q": 0.5,
"texture": "cos",
"tangent": 4,
"predicted": 0.6599250147855635,
"curvatures": [
0.6599139731822135,
0.659922254300227,
0.6599243245375419
],
"energy_change": 8.249054056719274e-06
},
{
"strength": 32.0,
"q": 0.5,
"texture": "cos",
"tangent": 5,
"predicted": 0.6599250147855635,
"curvatures": [
0.6599139731822135,
0.659922254300227,
0.6599243245375419
],
"energy_change": 8.249054056719274e-06
},
{
"strength": 32.0,
"q": 1.0,
"texture": "sin",
"tangent": 0,
"predicted": -4.913293284346224,
"curvatures": [
-4.912347874341805,
-4.913056914048752,
-4.913234190553339
],
"energy_change": -6.141542738191674e-05
},
{
"strength": 32.0,
"q": 1.0,
"texture": "sin",
"tangent": 1,
"predicted": -4.913293284346224,
"curvatures": [
-4.912347874341805,
-4.913056914048752,
-4.913234190553339
],
"energy_change": -6.141542738191674e-05
},
{
"strength": 32.0,
"q": 1.0,
"texture": "sin",
"tangent": 2,
"predicted": -4.913293284346224,
"curvatures": [
-4.912347874341805,
-4.913056914048752,
-4.913234190553339
],
"energy_change": -6.141542738191674e-05
},
{
"strength": 32.0,
"q": 1.0,
"texture": "sin",
"tangent": 3,
"predicted": -4.913293284346224,
"curvatures": [
-4.912347874341805,
-4.913056914048752,
-4.913234190553339
],
"energy_change": -6.141542738191674e-05
},
{
"strength": 32.0,
"q": 1.0,
"texture": "sin",
"tangent": 4,
"predicted": 13.232592418402286,
"curvatures": [
13.23070159831019,
13.232119677581977,
13.232474231017477
],
"energy_change": 0.00016540592788771846
},
{
"strength": 32.0,
"q": 1.0,
"texture": "sin",
"tangent": 5,
"predicted": 13.232592418402286,
"curvatures": [
13.23070159831019,
13.232119677581977,
13.232474231017477
],
"energy_change": 0.00016540592788771846
},
{
"strength": 32.0,
"q": 1.0,
"texture": "cos",
"tangent": 0,
"predicted": -1.930510322209678,
"curvatures": [
-1.9301846129593514,
-1.9304288897359356,
-1.9304899632288652
],
"energy_change": -2.4131124540360815e-05
},
{
"strength": 32.0,
"q": 1.0,
"texture": "cos",
"tangent": 1,
"predicted": -1.930510322209678,
"curvatures": [
-1.9301846129593514,
-1.9304288897359356,
-1.9304899632288652
],
"energy_change": -2.4131124540360815e-05
},
{
"strength": 32.0,
"q": 1.0,
"texture": "cos",
"tangent": 2,
"predicted": -1.930510322209678,
"curvatures": [
-1.9301846129593514,
-1.9304288897359356,
-1.9304899632288652
],
"energy_change": -2.4131124540360815e-05
},
{
"strength": 32.0,
"q": 1.0,
"texture": "cos",
"tangent": 3,
"predicted": -1.930510322209678,
"curvatures": [
-1.9301846129593514,
-1.9304288897359356,
-1.9304899632288652
],
"energy_change": -2.4131124540360815e-05
},
{
"strength": 32.0,
"q": 1.0,
"texture": "cos",
"tangent": 4,
"predicted": 6.455014794709518,
"curvatures": [
6.454363376340311,
6.45485192954709,
6.454974077598763
],
"energy_change": 8.068717596998454e-05
},
{
"strength": 32.0,
"q": 1.0,
"texture": "cos",
"tangent": 5,
"predicted": 6.455014794709518,
"curvatures": [
6.454363376340311,
6.45485192954709,
6.454974077598763
],
"energy_change": 8.068717596998454e-05
},
{
"strength": 32.0,
"q": 2.0,
"texture": "sin",
"tangent": 0,
"predicted": -7.576870926593992,
"curvatures": [
-7.5740359382514555,
-7.576162108193785,
-7.576693717226135
],
"energy_change": -9.470867146532669e-05
},
{
"strength": 32.0,
"q": 2.0,
"texture": "sin",
"tangent": 1,
"predicted": -7.576870926593992,
"curvatures": [
-7.5740359382514555,
-7.576162108193785,
-7.576693717226135
],
"energy_change": -9.470867146532669e-05
},
{
"strength": 32.0,
"q": 2.0,
"texture": "sin",
"tangent": 2,
"predicted": -7.576870926593992,
"curvatures": [
-7.5740359382514555,
-7.576162108193785,
-7.576693717226135
],
"energy_change": -9.470867146532669e-05
},
{
"strength": 32.0,
"q": 2.0,
"texture": "sin",
"tangent": 3,
"predicted": -7.576870926593992,
"curvatures": [
-7.5740359382514555,
-7.576162108193785,
-7.576693717226135
],
"energy_change": -9.470867146532669e-05
},
{
"strength": 32.0,
"q": 2.0,
"texture": "sin",
"tangent": 4,
"predicted": 27.157767404722797,
"curvatures": [
27.15209742804703,
27.156349767807342,
27.157412986866802
],
"energy_change": 0.00033946766233583503
},
{
"strength": 32.0,
"q": 2.0,
"texture": "sin",
"tangent": 5,
"predicted": 27.157767404722797,
"curvatures": [
27.15209742804703,
27.156349767807342,
27.157412986866802
],
"energy_change": 0.00033946766233583503
},
{
"strength": 32.0,
"q": 2.0,
"texture": "cos",
"tangent": 0,
"predicted": -7.163058295627627,
"curvatures": [
-7.160358469899819,
-7.162383271506201,
-7.162889535550221
],
"energy_change": -8.953611919437776e-05
},
{
"strength": 32.0,
"q": 2.0,
"texture": "cos",
"tangent": 1,
"predicted": -7.163058295627627,
"curvatures": [
-7.160358469899819,
-7.162383271506201,
-7.162889535550221
],
"energy_change": -8.953611919437776e-05
},
{
"strength": 32.0,
"q": 2.0,
"texture": "cos",
"tangent": 2,
"predicted": -7.163058295627627,
"curvatures": [
-7.160358469899819,
-7.162383271506201,
-7.162889535550221
],
"energy_change": -8.953611919437776e-05
},
{
"strength": 32.0,
"q": 2.0,
"texture": "cos",
"tangent": 3,
"predicted": -7.163058295627627,
"curvatures": [
-7.160358469899819,
-7.162383271506201,
-7.162889535550221
],
"energy_change": -8.953611919437776e-05
},
{
"strength": 32.0,
"q": 2.0,
"texture": "cos",
"tangent": 4,
"predicted": 26.32209103972041,
"curvatures": [
26.31669138827064,
26.320740991643277,
26.3217535190563
],
"energy_change": 0.00032902191898820377
},
{
"strength": 32.0,
"q": 2.0,
"texture": "cos",
"tangent": 5,
"predicted": 26.32209103972041,
"curvatures": [
26.31669138827064,
26.320740991643277,
26.3217535190563
],
"energy_change": 0.00032902191898820377
}
],
"stationarity_error": 1.960237527853792e-16,
"benchmark_strength": 5.2761925321406756e-05,
"critical_strengths": [
{
"q": 0.25,
"texture": "sin",
"strength": 5.896867186497537
},
{
"q": 0.25,
"texture": "cos",
"strength": 11.782235770176248
},
{
"q": 0.5,
"texture": "sin",
"strength": 5.692078792695734
},
{
"q": 0.5,
"texture": "cos",
"strength": 11.210797522717998
},
{
"q": 1.0,
"texture": "sin",
"strength": 6.006440742333456
},
{
"q": 1.0,
"texture": "cos",
"strength": 9.898940334911527
},
{
"q": 2.0,
"texture": "sin",
"strength": 11.058955443413478
},
{
"q": 2.0,
"texture": "cos",
"strength": 11.463923260621634
},
{
"q": 4.0,
"texture": "sin",
"strength": 28.760675517239644
},
{
"q": 4.0,
"texture": "cos",
"strength": 28.760681990414902
}
],
"refinements": [
{
"texture": "sin",
"energy_difference": 0.0,
"refined_energy_change": -6.141542738191674e-05
},
{
"texture": "cos",
"energy_difference": 0.0,
"refined_energy_change": -2.4131124540360815e-05
}
],
"reference_prediction_survives_tested_family": true,
"stronger_positive_coupling_claim_survives": false,
"rejected_scan_points": 23
}