$ ./flagmatic --n 6 --r 3 --induced-density 4.1 --forbid-f32 --dir output/f32max41
flagmatic version 1.5
============================================================================
Optimizing for density of 4.1.
Forbidding 5:123124125345
Using admissible graphs of order 6.
Generated 1 type of order 0, with 2 flags of order 3.
Generated 1 type of order 2, with 12 flags of order 4.
Generated 5 types of order 4, with [64, 56, 41, 24, 23] flags of order 5.
Generated 426 admissible graphs.
Approximate floating-point bound is 0.51471863

$ sage -python scripts/make_nontight_exact_qdash.py --denominator 10000000 --dir output/f32max41
Written r.py
Written qdash.py
Marked bound as non-tight in flags.py

$ sage -python scripts/verify_bound.py --dir output/f32max41
Written q.py
Bound (all graphs) is 30883122708359/60000000000000
(Approximately 0.514718712)
Added exact bound to flags.py

$ sage -python scripts/make_certificate.py --dir output/f32max41
Written certificate to cert.js