Passes 5082–5089

Exact finite continuation. The q=3 active-chart minimum is exactly 108=4·3³; the q=4 chamber-generator dependency code is [425,169,5] with 170 minimum panel relations; the rank-two V1,2 sharbly relation is the line-side theta relation; and the q=3 eight-entry local ROM now corrects every one- and two-apartment error globally.

Three outside-box theorems sharpen the structure: a 30-dimensional global theta channel has exact polynomial x²−2x−16 and realizes the conductor-two order of Q(√17); the code's minimum dual shell reconstructs all 1080 decoder charts intrinsically; and the apartment/theta presentation lifts integrally to Z[oriented apartments]/Theta ≅ Z1(Levi;Z), hence is torsion-free.

The q=4 four-star census tests 12,614,424 representatives. Its weight-256 cases are all chamber stars, and their five-star dependencies are exactly the 85 point panels plus 85 line panels. A hypothetical exotic q=4 minimum therefore lies beyond the four-generator shell and, by Pass5090, in the heavy-chart sector.

Boundary: the all-q minimum-distance theorem, q=5 distance 625, and the complete q=4 heavy-chart minimum shell remain open. Decoder results are finite hard-decision code statements, not physical noise thresholds.