# Verification report

The general argument classifies all module labels, computes the center
metric group with fusion carry 2t, enumerates every Lagrangian, identifies
the labels under the full-center correspondence, and gives an explicit
primary decomposition. For each prime power it computes the full cyclic
Lagrangian stabilizer and an involution interchanging the two cyclic
possibilities, proving exhaustiveness and the inversion semidirect law.
The group action gives all orbit and stabilizer formulas. This argument
is unrestricted in n and t and includes p=2.

The first exact checker independently enumerates possible isometries
from generator images in 383 pairs (n,t). It verifies quadratic values,
bijectivity, invariant factors, group order, every module orbit, and the
prime-power semidirect presentation. It is run without optimization
because it uses assertions.

The second checker passes 1,556,863 explicit conditions in both normal
and optimized Python: 630,707 pentagons, 630,707 projective half-braiding
conditions, 242,836 tensor-character conditions with charges 0 and 1,
263 subgroup invariants, 263 pointwise restrictions, 7,727 isotropy checks,
77 exhaustive small Lagrangian enumerations, 461 primary sizes, 461
primary relation checks, and 43,361 primary quadratic comparisons.
The precise finite domains are recorded in its JSON reports.

All seven final PDF pages were visually inspected. The theorem begins
on page two, the author affiliation is in a footnote, and the AI
disclosure is prose, not a separate heading. Equations, references and
page transitions are legible. The saved built-in compiler result reports
success; the final TeX log has no errors, unresolved references, missing
glyphs, or overfull or underfull boxes. Source archive replays and the
independent extracted-source compilation are bound by the local
manuscript-readiness record and package manifest.

The theorem is accepted by originating-researcher self-audit. Finite
tests are not independent review or proof-assistant formalization. The
bounded literature search does not certify absolute novelty, and the
open-ended AIM classification program is not declared solved.