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A finite-classical-group test agent needs a genuineWittbasis andexactWittindex/r...

https://detect.halowerk.com/v1/F-B-NIGHT-FINITE-STRUCTURES/finite-odd-field-constructive-witt-decomposition

Overview

A finite-classical-group test agent needs a genuineWittbasis andexactWittindex/radical/anisotropicdimensions ofthefullfinitefieldform. Notoneisotropicvectorprofile,real-eigenvalues oroneLegendrevalue.

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Indexed 2026-11-02 17:26:22

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Input Schema

{ "body": { "artifact": { "witt": { "claim": { "anisotropic_dimension": 2, "hyperbolic_index": 1, "maximal_isotropic_dimension": 0, "radical_dimension": 0 }, "matrix": [ [ 1, 0 ], [ 0, 1 ] ], "prime": 3 } } }, "bodyType": "json", "method": "POST", "type": "http" }

Output Schema

{ "example": { "billable": true, "findings": [ { "confidence": 95, "evidence": [ { "page_indices": [], "page_url": null, "pattern": "finite-odd-field-constructive-witt-decomposition_scoped_evidence", "type": "artifact" } ], "limits": [ "Canonical symmetric Gram matrix dimension1–4 overF3/F5/F7,allresidues0..p−1. Degenerateforms supported. Hyperbolicindexcountsplanes afterradicalquotient; maximalisotropicdimension alsoincludesradical.", "Basiswitnesses neednotunique: eachpair hasBuu=Bvv=0,Buv=1,allblocksorthogonal;fullcombinedbasis spansspace. Notrealmatrixinertia orrationalquaternionclassification. Characteristic2 andnoncanonicalresidueinputunsupported." ], "module": "finite-odd-field-constructive-witt-decomposition", "state": "observed", "value": { "anisotropic_basis": [ [ 1, 0 ], [ 0, 1 ] ], "anisotropic_dimension": 2, "claim_matches": false, "hyperbolic_index": 0, "hyperbolic_pairs": [], "maximal_isotropic_dimension": 0, "radical_basis": [], "radical_dimension": 0 }, "warnings": [] } ], "known_count": 1, "scope": { "contact_values_returned": false, "network": false, "supplied_artifact_only": true }, "warnings": [] }, "type": "json" }