$ ./flagmatic --n 6 --r 3 --induced-density 4.2 --forbid-f32 --dir output/f32max42 flagmatic version 1.5 ============================================================================ Optimizing for density of 4.2. 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 0.62773134 $ sage -python scripts/make_nontight_exact_qdash.py --denominator 10000000 --dir output/f32max42 Written r.py Written qdash.py Marked bound as non-tight in flags.py $ sage -python scripts/verify_bound.py --dir output/f32max42 Written q.py Bound (all graphs) is 2758585108907/4394531250000 (Approximately 0.627731367) Added exact bound to flags.py $ sage -python scripts/make_certificate.py --dir output/f32max42 Written certificate to cert.js