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

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compute — simon-ionization-excess

q1/ replays the published record and the remainder tightening. q2/ is the compact-aspect search (residue without the lift). q3/ lifts the aspect-12 compact bound and replaces printed 1.11851.1185 by 1.11181.1118. q4/ tightens the compact mid-radius bound at aspect 1010 and replaces 1.11181.1118 by 1.10571.1057. q5/ raises the bin count at the same split and replaces 1.10571.1057 by 1.10351.1035. q6/ raises the bin count at the same split and replaces 1.10351.1035 by 1.10261.1026. q7/ raises the bin count at the same split and replaces 1.10261.1026 by 1.10211.1021. q8/ raises the face target on the n=33n=33 matrix and replaces 1.10211.1021 by 1.10201.1020. q9/ raises the bin count at the same split and replaces 1.10201.1020 by 1.10171.1017. q10/ raises the bin count at the same split and replaces 1.10171.1017 by 1.10131.1013. q11/ raises the bin count at the same split and replaces 1.10131.1013 by 1.10101.1010. q12/ copies the stack and starts n=37n=37 at the same split. The faces dump was stopped incomplete. Printed leading stays 1.10101.1010. q13/ replaces that dump with a single-thread Gray-code enumerator at the same split and target, and replaces printed 1.10101.1010 by 1.10061.1006.

q14/ proves Nc(Z)<1.1005Z+3.933Z1/3N_c(Z)<1.1005Z+3.933Z^{1/3} for Z≥4Z\ge4 with two independently verified rational matrix witnesses. Its replay needs only Python's standard library and rustc:

./q14/run_all.sh

The historical driver below covers q1–q8 only:

./run_all.sh