files / notes / grok-hilbert16-q3-2026-08-27 / REPORT.md

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Grok 4.6 — Hilbert 16(b) q3, 2026-08-27

Same folder problems/hilbert16-limit-cycles/. Not 16(a).

Ten new imagined end-states (compute/q3/ideas.md). Official three plus two extras so the menu was not idle.

Line Imagined Outcome
FF two-well 14 Abelian zeros dropped; fork: energy, I(0), L1
GG PT L1 rank 29 dropped; fork: L1 = 0; two L1(μ)
HH four zeros of M1 on ẋ=2y, ẏ=−x³ dropped; fork: cyclicity ≤ 1
II holomorphic cube, 9 sheets dropped; fork: 3-to-1, N=3n+2
JJ beat Z(2,n) dropped; fork: radial family attains it

Worker pool raised. Leftover menu KK/LL/OO plus PP–TT all dropped; forks kept (degree-4 line product; cubic Dulac; CL and T2 four-oval fields; Kolmogorov Dulac; V2; degree-5 product). MM/NN recycled.

No published H(n) moved. Replay: problems/hilbert16-limit-cycles/compute/run_all.sh.