files / problems / simon-ionization-excess / compute / q10 / README.md

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q10 — mid-radius bins at the proven aspect-10 split

Same HPS §7 / arXiv:2504.18487v1 chain as q1–q9. The published record is still v1 only. q9 (#119 / b258707) certified printed leading 1.1017 at aspect 10, n=34n=34, target φ=0.9113\varphi=0.9113.

This folder certifies printed leading 1.1013 at the same split with n=35n=35, target φ=0.9115\varphi=0.9115: compact γ=0.908018018752533\gamma=0.908018018752533, 1/γ=1.10129973122541671/\gamma=1.1012997312254167, cut 10/11>γ10/11>\gamma. Faces 34,359,738,36734{,}359{,}738{,}367, copositive, 83628362 residual skips, min⁡m⊤Mm>5⋅10−4\min m^\top Mm>5\cdot 10^{-4}.

R≤9R\le 9 with Q>R/(R+1)Q>R/(R+1) cannot beat 1.1017. Finite-ZZ integers (Lieb), N0(Z)−ZN_0(Z)-Z bounded, and s>3s>3 along Lemma 4.3 stay leftover.

Replay

problems/simon-ionization-excess/compute/q10/run_all.sh

Exit 0 is the leading-coefficient lift of q9's 1.1017. 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 q9: raise_*.json, faces dump, lift.json. Part files (certs/*.part*) and compiled verifiers are gitignored.