files / problems / simon-ionization-excess / compute / q8 / README.md

1.0 KB · on GitHub

q8 — leading coefficient 1.1021 to 1.1020

q7 lifted the aspect-10 compact bound and replaced printed 1.10261.1026 by 1.10211.1021 at n=33n=33 bins, target 0.91110.9111. The leftover slack was unused φ\varphi: SLSQP sits at 0.911220.91122. R≤9R\le 9 with the mass-opt cut cannot beat 1.10211.1021.

This folder keeps the split at aspect 1010 and raises the face target to 0.91120.9112 on the same n=33n=33 matrix. Faces certify Q≥0.907507Q\ge 0.907507. Mass-stationarity still forces any used support of aspect ≥10\ge 10 to have Q>10/11Q>10/11. That replaces 1.10211.1021 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The withdrawn 1.11681.1168 stays withdrawn.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. n=34n=34 at this split is still a predicted 1.10171.1017 if faces certify.

./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_t0p9112.txt (not re-enumerated on the fast path). Leftover probes in work/.