# Verification report

The manuscript proves a restricted theorem: at common projection length 1/2, an equi-isoclinic family of real two-dimensional subspaces with a negative-determinant triangle spans at most six dimensions and contains at most nine planes. It supplies an exhaustive anchored type/sign description and one unordered congruence class at equality. The full AIM fixed-angle conjectures are not resolved.

The proof has been self-audited. Its eight-type reduction is exhaustive, the pseudoinverse is applied only to compatible anchor data, repeated types are excluded by intersection, and four explicit squared-Frobenius polynomial identities force all nonzero residual directions to be collinear. The equality case is a connected six-cycle sign calculation. A separate trace-rank argument also gives the maximum nine after dimension collapse.

The standard-library Python supplement uses Q(sqrt(3)) with exact rational coefficients. It checks all 28 pair polynomial identities coefficient by coefficient, 196 direct pair-equation replays, and 1,460 finite type/sign choices modulo common residual sign. There are 129 compatible anchored choices and one maximum signing. The 18-by-18 witness is symmetric, has rank six, has all 36 required off-diagonal block identities, and satisfies G squared = 3G; thus its positive semidefiniteness is also certified exactly. Normal and optimized revision-3 outputs are identical, SHA-256 e3e2139c8ed89463b624ee9bb1337f28205b76318846135e5c1eaa4120d0b5a1.

The known nine-plane maximum in R6, holonomy tools, and positive-triangle/complex-line correspondence are credited. The bounded literature search does not certify novelty. The 2007 and 2024 closest historical papers were accessible only at publisher-abstract level during this pass. No independent referee, proof assistant, or general AIM resolution is claimed.

The six-page English PDF was compiled with the built-in editor and Tectonic and inspected visually. The source archive is portable, with inline bibliography and no third-party full texts. Proof provenance, exact outputs and source-access limitations are included. Publication is distribution of an unrefereed preprint, not an independent correctness certification.