feat(matrix): extend exact determinant to order 64 - #1302
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Refresh #1302 while preserving its determinant-owned order-64 contract.
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AttributionThe determinant-owned order-64 contract and order-33 Legendre-symbol reproduction originated in #1020, authored by @kaoru0822-kitauji. This PR is the current-tree port of that contribution; the original authorship remains theirs. |
This was referenced Aug 13, 2026
Refresh #1302 after the projective-preview and provider-fixture merges without changing its determinant-owned order-64 scope.
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Summary
Supersedes #1020 with a current-tree port of the determinant-owned order-64 contract.
matrix.determinant.computean operation-specific exactQQmatrix input capped at order 64 while every shared matrix contract remains capped at 32;jacobian.math.matricesusing the exact Bareiss backend;p=71, obtaining and independently verifying529;Ownership
This is one operation-owned input expansion, not a broad shared-matrix limit change. Rank, RREF, multiplication, characteristic polynomial, and the public raw matrix API remain at order 32. The operation remains a thin
OperationSpecover the maintainedjacobian.math.matricesbackend, and verification remains a separate checker operation.Validation
Focused coverage checks order 33 compute-and-verify, order 65 fail-closed behavior, generated schema bounds, and checker-side source/candidate limits. The branch is one commit directly on current
main; hosted CI is authoritative for the full matrix.Credit
This is a current-tree port of the original implementation in #1020 by @kaoru0822-kitauji. Their original investigation, reproduction, and implementation work are the basis for this replacement.