$ ./flagmatic --n 6 --r 3 --induced-density 4.3 --dir output/max43 flagmatic version 1.5 ============================================================================ Optimizing for density of 4.3. 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 0.65191161 $ sage -python scripts/make_nontight_exact_qdash.py --denominator 10000000 --dir output/max43 Written r.py Written qdash.py Marked bound as non-tight in flags.py $ sage -python scripts/verify_bound.py --dir output/max43 Written q.py Bound (all graphs) is 146680117061647/225000000000000 (Approximately 0.651911631) Added exact bound to flags.py $ sage -python scripts/make_certificate.py --dir output/max43 Written certificate to cert.js