$ ./flagmatic --r 3 --n 6 --forbid-k4 --forbid-c5 --forbid-induced 4.1 --dir output/k4c541
flagmatic version 1.5
============================================================================
Forbidding 4.4
Forbidding 5:123124135245345
Forbidding 4.1 as an induced subgraph.
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 8 flags of order 4.
Generated 3 types of order 4, with [15, 6, 5] flags of order 5.
Generated 11 admissible graphs.
Approximate floating-point bound is 0.44444445

$ sage -python scripts/find_sharp_graphs.py --dir output/k4c541
Floating point bound is 0.444444445241785002.
5 members of H are sharp.
0.444444444899126601 : graph 1 (6:)
0.444444444756186552 : graph 2 (6:123124125126)
0.444444445160844248 : graph 8 (6:123124125136146156236246256)
0.444444445201309657 : graph 9 (6:123124125126134135136145146156)
0.444444445241785002 : graph 11 (6:123124125134135145236246256346356456)
Written sharp graphs to flags.py

$ sage -python scripts/check_construction.py --n 6 --r 3 3:122123133
Density is 4/9.
5 graphs of order 6 occur as induced subgraphs of the blow-up:
6: has density 77/729 (0.105624)
6:123124125126 has density 20/243 (0.082305)
6:123124125136146156236246256 has density 160/729 (0.219479)
6:123124125126134135136145146156 has density 64/243 (0.263374)
6:123124125134135145236246256346356456 has density 80/243 (0.329218)

$ sage -python scripts/make_zero_eigenvectors.py 3:122123133 --dir output/k4c541
Constructed 1 out of 1 zero eigenvectors for type 1.
Constructed 4 out of 4 zero eigenvectors for type 2.
Constructed 6 out of 6 zero eigenvectors for type 3.
Constructed 1 out of 1 zero eigenvectors for type 4.
Constructed 1 out of 1 zero eigenvectors for type 5.
Written zev.py
Written field to flags.py

$ sage -python scripts/factor_approximate_q.py --dir output/k4c541
Floating point bound is 0.444444445241785002.
Type 1: smallest eigenvalue is 1.110508521393691161
Type 2: smallest eigenvalue is 0.314464222501124546
Type 3: smallest eigenvalue is 0.393116512614847202
Type 4: smallest eigenvalue is 0.380442870991167914
Type 5: smallest eigenvalue is 0.447991092585742767
Written r.py
Written qdashf.py

$ sage -python scripts/make_exact_qdash.py '4/9' --denominator 2 --dir output/k4c541 --diagonalize
Type 1: smallest eigenvalue is 0.918437196419104485
Type 2: smallest eigenvalue is 0.356421967028058839
Type 3: smallest eigenvalue is 0.500000000000000000
Type 4: smallest eigenvalue is 0.500000000000000000
Type 5: smallest eigenvalue is 0.500000000000000000
Diagonalizing matrices...
Written qdash.py
Written r.py
Added exact bound to flags.py

$ sage -python scripts/verify_bound.py --dir output/k4c541
Written q.py
Floating point bound (non-sharp graphs) is 0.434912072094305713
Exact bound (just sharp graphs) is 4/9
Bound (all graphs) is 4/9

$ sage -python scripts/make_certificate.py --dir output/k4c541
Written certificate to cert.js