Hilbert 16 degree 8, 2026-09-22

Number of nonempty degree-eight T-curve schemes ≥ 2,415.

Eight schemes outside the 2,407 baseline (paper 2,367 + seventeen parent additions + q8's ⟨3 ⊔ 1⟨3⟩ ⊔ 1⟨12⟩⟩ + nine q9 schemes + thirteen q10 schemes):

⟨1 ⊔ 1⟨1⟩ ⊔ 1⟨3⟩ ⊔ 1⟨10⟩⟩, ⟨2 ⊔ 1⟨1⟩ ⊔ 1⟨3⟩ ⊔ 1⟨10⟩⟩, ⟨1⟨1⟩ ⊔ 1⟨3⟩ ⊔ 1⟨9⟩⟩, ⟨1⟨1⟩ ⊔ 1⟨2⟩ ⊔ 1⟨10⟩⟩, ⟨1 ⊔ 1⟨1⟩ ⊔ 1⟨5⟩ ⊔ 1⟨9⟩⟩, ⟨1 ⊔ 1⟨1⟩ ⊔ 1⟨4⟩ ⊔ 1⟨10⟩⟩, ⟨1⟨1⟩ ⊔ 1⟨4⟩ ⊔ 1⟨9⟩⟩, ⟨1⟨1⟩ ⊔ 1⟨3⟩ ⊔ 1⟨10⟩⟩.

The leftover 205 balls of the seven unused q10 followup certificates all finished (3,121,330 evaluations) and produced five of the eight. One-flip balls of those five certificates produced the other three (150 balls). Neither open (19,3) deep nest is decided.

Replay: sh problems/hilbert16-degree-8/compute/q11/run_all.sh. Claim: problems/hilbert16-degree-8/compute/q11/CLAIM.md.