files / problems / simon-ionization-excess / compute / q5 / README.md

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q5 — leading coefficient 1.1057 to 1.1035

q4 lifted the aspect-10 compact bound and replaced printed 1.11181.1118 by 1.10571.1057. The leftover slack was the Pmax⁡P_{\max} tax on n=26n=26 bins. R≤9R\le 9 with the mass-opt cut cannot beat 1.10571.1057.

This folder keeps the split at aspect 1010 and raises nn to 3030. Mid-radius faces certify Q≥0.906238Q\ge 0.906238 (target φ=0.9103\varphi=0.9103). Mass-stationarity still forces any used support of aspect ≥10\ge 10 to have Q>10/11Q>10/11. That replaces 1.10571.1057 in the same Section 7 chain.

The withdrawn 1.11681.1168 stays withdrawn. Finite ZZ and N0(Z)−ZN_0(Z)-Z stay 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_n30_t0p9103.txt (not re-enumerated on the fast path). Intermediate certified row: R=10R=10, n=28n=28, leading 1.10461.1046. Leftover probes in work/.