files / problems / simon-ionization-excess / compute / q6 / README.md

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q6 — leading coefficient 1.1035 to 1.1026

q5 lifted the aspect-10 compact bound and replaced printed 1.10571.1057 by 1.10351.1035 at n=30n=30 bins. The leftover slack was the Pmax⁡P_{\max} tax. R≤9R\le 9 with the mass-opt cut cannot beat 1.10351.1035.

This folder keeps the split at aspect 1010 and raises nn to 3232. Mid-radius faces certify Q≥0.906992Q\ge 0.906992 (target φ=0.9108\varphi=0.9108). Mass-stationarity still forces any used support of aspect ≥10\ge 10 to have Q>10/11Q>10/11. That replaces 1.10351.1035 in the same Section 7 chain.

The withdrawn 1.11681.1168 stays withdrawn. Finite ZZ and N0(Z)−ZN_0(Z)-Z stay residue. s>3s>3 along Lemma 4.3 stays residue.

./run_all.sh

Certificates: certs/lift.json, leading.json, aspect_identities.json, lift_stdlib.json, rebuild.json. Independent algebra: verify_aspect.c, verify_aspect.rs. Faces dump: certs/beta3_mid_faces_R10_n32_t0p9108.txt (not re-enumerated on the fast path). Leftover probes in work/.