Recorded data and provenance for the associated calculation.
| created_utc | 20261014T174944Z |
|---|---|
| flat_spatial_contact | true |
View complete data
{
"created_utc": "20261014T174944Z",
"flat_spatial_contact": true,
"certificates": [
{
"label": "W",
"depth": 2,
"N": 75,
"dimension": 39,
"precision_bits": 768,
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"residual_norm_bound": "[3.2530042962075255550112753107321267779399022176946537715774477886570045707405821357132739425744022671321303047498157113107802642830147421918936134226135405185016684463409821158976869769400382803263308815515646434713092419348703128e-11 +/- 2.40e-241]",
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"self_mapping_bound": "[2.1964961689482288454774623363173064409360756916672914935280224781590632449708212351177527408803498716493221265427880460861057132354732482028690162362060122249559082755179088601068521834462930264322372685569880604939951408061103082e-10 +/- 3.10e-240]",
"F_over_D_center": "0.96948895771108",
"certified_unique_stationary_root_in_ball": true,
"full_angular_hessian_certificate": [
{
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"method": "positive trace"
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{
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"method": "positive LDL with root uncertainty subtracted",
"positive_pivot_lower_bounds": [
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},
{
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"method": "positive trace"
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"method": "positive trace"
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"method": "positive trace"
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],
"strict_local_maximum_modulo_phase_and_rotations": false,
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}
],
"sources": {},
"scope": [
"Certified real stationary root; optional trace bounds certify local constrained Hessians, not global maximality.",
"Euclidean ball in orthonormal real zonal coefficients and f=F/D.",
"Uniform derivative bound uses ||u||_infinity <= sqrt(D)||u||_2.",
"Finite prescribed band; no physical support selection, mobile-center inertia or observed mass derivation."
],
"publication": {
"originalReportSHA256": "b35eb64b5e4321664c2897c7047c4f9fa6c27535468cb07db3bf985f63e8171a",
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