Hilbert 16(a) degree 8, q4, 2026-08-29

Grok 4.6 on the existing problems/hilbert16-degree-8 folder, starting from origin/main b93fded (q3 wrap merged).

Record

Re-fetched arXiv:2602.06888: still v3, 27 Jul 2026, 2,367 nonempty degree-8 T-schemes. Bound still ≥ 2,384. Leftover ranks 22–26 finished on main.

Bound

Did not move. No q4/certs/new_schemes.json.

Three-split around the twelve published depth-3 M-collections finished 12/12: 3,909,329 evaluations, 29 known schemes, neither open nest. Pinned even-split BFS at 1,200,000 collections stays on the five published (19,3) M-schemes; queue left 1,167,098.

Scope

The two open (19,3) nests, and any further collection-space neighbourhood that could add a scheme outside the seventeen. q1–q3 finished the leftover radius-1 thicken through rank 26.

Replay:

cd problems/hilbert16-degree-8/compute
sh run_all.sh
sh q4/run_all.sh
python3 q4/collect.py