$ ./flagmatic --n 6 --r 3 --induced-density 4.4 --forbid-f32 --dir output/f32max44
flagmatic version 1.5
============================================================================
Optimizing for density of 4.4.
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 0.09375000

$ sage -python scripts/find_sharp_graphs.py --dir output/f32max44
Floating point bound is 0.093750000019017427.
6 members of H are sharp.
0.093750000009544893 : graph 1 (6:)
0.093750000008979872 : graph 13 (6:123124125126)
0.093750000019017427 : graph 108 (6:123124125136146156)
0.093750000008984452 : graph 339 (6:123124135145236246356456)
0.093750000012327306 : graph 398 (6:123124125126134135136234235236)
0.093750000017900056 : graph 425 (6:123124125126134135146156234235246256)
Written sharp graphs to flags.py

$ sage -python scripts/check_construction.py --n 6 --r 3 --induced-density 4.4 --vertex-transitive 4:123124134234
Density of 4.4 is 3/32.
6 graphs of order 6 occur as induced subgraphs of the blow-up:
6: has density 47/512 (0.091797)
6:123124125126 has density 45/512 (0.087891)
6:123124125136146156 has density 45/128 (0.351562)
6:123124135145236246356456 has density 45/512 (0.087891)
6:123124125126134135136234235236 has density 15/128 (0.117188)
6:123124125126134135146156234235246256 has density 135/512 (0.263672)

$ sage -python scripts/make_zero_eigenvectors.py --vertex-transitive 4:123124134234 --dir output/f32max44
Constructed 1 out of 1 zero eigenvectors for type 1.
Constructed 2 out of 2 zero eigenvectors for type 2.
Constructed 8 out of 8 zero eigenvectors for type 3.
Constructed 0 out of 0 zero eigenvectors for type 4.
Constructed 1 out of 1 zero eigenvectors for type 5.
Constructed 0 out of 0 zero eigenvectors for type 6.
Constructed 1 out of 1 zero eigenvectors for type 7.
Written zev.py
Written field to flags.py

$ sage -python scripts/factor_approximate_q.py --dir output/f32max44
Floating point bound is 0.093750000019017427.
Type 1: smallest eigenvalue is 0.082554174968234056
Type 2: smallest eigenvalue is 0.004458215856857733
Type 3: smallest eigenvalue is 0.051714585935140008
Type 4: smallest eigenvalue is 0.064588798219613164
Type 5: smallest eigenvalue is 0.085014752968044449
Type 6: smallest eigenvalue is 0.093774178617405599
Type 7: smallest eigenvalue is 0.086438503457037311
Written r.py
Written qdashf.py

$ sage -python scripts/make_exact_qdash.py '3/32' --denominator 240 --dir output/f32max44 --diagonalize
Type 1: smallest eigenvalue is 0.078112847126759602
Type 2: smallest eigenvalue is 0.004463474706420704
Type 3: smallest eigenvalue is 0.053501801290392462
Type 4: smallest eigenvalue is 0.069221896681590789
Type 5: smallest eigenvalue is 0.086090727875431733
Type 6: smallest eigenvalue is 0.094190485299505300
Type 7: smallest eigenvalue is 0.086393693866707935
Diagonalizing matrices...
Written qdash.py
Written r.py
Added exact bound to flags.py

$ sage -python scripts/verify_bound.py --dir output/f32max44
Written q.py
Floating point bound (non-sharp graphs) is 0.090197728228963117
Exact bound (just sharp graphs) is 3/32
Bound (all graphs) is 3/32

$ sage -python scripts/make_certificate.py --dir output/f32max44
Written certificate to cert.js