files / problems / simon-ionization-excess / compute / q7 / README.md

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q7 — leading coefficient 1.1026 to 1.1021

q6 lifted the aspect-10 compact bound and replaced printed 1.10351.1035 by 1.10261.1026 at n=32n=32 bins. The leftover slack was the Pmax⁡P_{\max} tax. R≤9R\le 9 with the mass-opt cut cannot beat 1.10261.1026.

This folder keeps the split at aspect 1010 and raises nn to 3333. Mid-radius faces certify Q≥0.907407Q\ge 0.907407 (target φ=0.9111\varphi=0.9111). Mass-stationarity still forces any used support of aspect ≥10\ge 10 to have Q>10/11Q>10/11. That replaces 1.10261.1026 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The withdrawn 1.11681.1168 stays withdrawn.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_n33_t0p9111.txt (not re-enumerated on the fast path). Leftover probes in work/.