files / problems / simon-ionization-excess / compute / q11 / README.md

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q11 — mid-radius bins at the proven aspect-10 split

Same HPS §7 / arXiv:2504.18487v1 chain as q1–q10. The published record is still v1 only. q10 (#128 / fd14170) certified printed leading 1.1013 at aspect 10, n=35n=35, target φ=0.9115\varphi=0.9115. That cert stays frozen. Those faces were not re-enumerated.

This folder certifies printed leading 1.1010 at the same split with n=36n=36, target φ=0.9117\varphi=0.9117: compact γ=0.9083146735963096\gamma=0.9083146735963096, 1/γ=1.10094004761662471/\gamma=1.1009400476166247, cut 10/11>γ10/11>\gamma. Faces 68,719,476,73568{,}719{,}476{,}735, copositive, 1629616296 residual skips, min⁡m⊤Mm>6⋅10−4\min m^\top Mm>6\cdot 10^{-4}.

R≤9R\le 9 with Q>R/(R+1)Q>R/(R+1) cannot beat 1.1013. Finite-ZZ integers (Lieb), N0(Z)−ZN_0(Z)-Z bounded, and s>3s>3 along Lemma 4.3 stay leftover. The withdrawn 1.11681.1168 stays withdrawn.

Replay

problems/simon-ionization-excess/compute/q11/run_all.sh

Exit 0 is the leading-coefficient lift of q10's 1.1013. Certificate: certs/lift.json.

Fast path:

python3 verify_lift.py && python3 lift_cert.py

verify_lift.py and verify_rebuild.py are stdlib. verify_aspect.c / .rs replay the mass-opt identities. tighten_leading.py is the interval §7 printer (ceil_dec).

Layout

Same as q10: raise_*.json, faces dump, lift.json. Part files (certs/*.part*) and compiled verifiers are gitignored.