files / problems / kissing-5d / compute / q1 / README.md

804 B · on GitHub

q1 — polar maximality and the Q5 integer slice

Replay:

sh compute/q1/run_all.sh
Script What it certifies
polar_vertices.py / polar.c polars of D5,L5,Q5,R5D_5,L_5,Q_5,R_5 have max⁡∥x∥2=5/4<2\max\|x\|^2=5/4<2
replay_max_vertex.py Fraction GE rebuild of each recorded vertex
integer_q5_44.c integer TQ5T_{Q_5} distributions at N=44N=44 are empty
dump_q5_tables.py C tables match Gegenbauer; Q5Q_5 histogram passes
check_q5_44_empty.py header / witness / empty-scan replay
a4_containing.py height ∥s∥≥2\|s\|\ge 2; discrete extras cap at 20
integer_restricted.py TL5T_{L_5} still has integer hits at 41, 42, 43
restricted_duals.py no new interpolating dual below 44 on TQ5T_{Q_5}

The unrestricted range remains 40≤τ5≤4440\le\tau_5\le 44.