# Verification report

Complete scoped theorem: the projective eigenschemes of the normalized Fano adjacency tensor at both roots of lambda^2+lambda+2 are explicitly bicanonical Klein quartics. A Fourier transform yields seven rational quadrics, the integer certificate gives224h^6 in their ideal, and a local adjugate argument removes all projective thickening. The h=0 rank-one symmetric-matrix equations are Veronese; the final equation is a^3c+ab^3+bc^3. A direct gradient argument proves smoothness; adjunction gives genus3 and bicanonical degree8. Both conjugate roots and all projective eigenvectors are covered. No descent over Q(q), full resultant, multiplicity, or whole-source closure is claimed.

All27 exact rational-polynomial checks pass. They reconstruct the seven Fano incidence equations and Fourier coefficients, check the affine and homogenized certificates, verify the matrix/gradient/Veronese identities and reject corrupted certificate and incidence inputs. All seven integer multipliers printed in the PDF source match the checked certificate. Final replay requires only Python's standard library. Discovery used symbolic linear algebra; no third-party candidate code was executed.
Checker SHA-256: fb1add2dbea087543b768c36cf4f99ce36245bc245c21cf5d45be4136f76b4f2.
Certificate SHA-256: 5b73f38d6b69984644fa476291198fe56de503a23d94e746ae5f80fe8e782118.

The Anonymous19September2026 preprint DOI10.5281/zenodo.22850084 is credited for its earlier smooth degree-eight genus-three curves and reported computational spectrum. Its page6 was visually inspected, and page10 expressly leaves Klein identification out of scope. Its full resultant is not independently replayed or a premise of this proof. Bounded primary-source search found no matching explicit identification; absolute priority is not certified.

The written proof and exact checks were audited by the originating system. No independent reviewer or proof-assistant verification is claimed. Built-in LaTeX compilation and clean portable Tectonic compilation pass; all five pages were visually inspected. Author name is prominent; institution/contact is a footnote and AI assistance is ordinary prose. Third-party PDFs/texts are excluded from uploads.