$ ./flagmatic --n 6 --r 3 --induced-density 5:123124125345  --dir output/maxf32
flagmatic version 1.5
============================================================================
Optimizing for density of 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, 64, 64, 64, 64] flags of order 5.
Generated 2136 admissible graphs.
Approximate floating-point bound is 0.34946474

$ sage -python scripts/make_nontight_exact_qdash.py --denominator 10000000 --dir output/maxf32
Written r.py
Written qdash.py
Marked bound as non-tight in flags.py

$ sage -python scripts/verify_bound.py --dir output/maxf32
Written q.py
Bound (all graphs) is 104839425546173/300000000000000
(Approximately 0.349464752)
Added exact bound to flags.py

$ sage -python scripts/make_certificate.py --dir output/maxf32
Written certificate to cert.js