$ ./flagmatic --n 7 --r 3 --induced-density 4.2 --forbid-k4- --forbid-c5 --dir output/k4-c5max42 flagmatic version 1.5 ============================================================================ Optimizing for density of 4.2. Forbidding 4.3 Forbidding 5:123124135245345 Using admissible graphs of order 7. Generated 1 type of order 1, with 5 flags of order 4. Generated 2 types of order 3, with [92, 44] flags of order 5. Generated 10 types of order 5, with [388, 262, 175, 173, 112, 116, 116, 76, 81, 79] flags of order 6. Generated 6077 admissible graphs. Approximate floating-point bound is 0.46164493 $ sage -python scripts/make_nontight_exact_qdash.py --denominator 10000000 --dir output/k4-c5max42 Written r.py Written qdash.py Marked bound as non-tight in flags.py $ sage -python scripts/verify_bound.py --dir output/k4-c5max42 Written q.py Bound (all graphs) is 2885281205549/6250000000000 (Approximately 0.461644993) Added exact bound to flags.py $ sage -python scripts/make_certificate.py --dir output/k4-c5max42 Written certificate to cert.js