$ ./flagmatic --r 3 --n 6 --forbid-f32 --forbid-induced 5.6 --dir output/56if32
flagmatic version 1.5
============================================================================
Forbidding 5:123124125345
Forbidding 5.6 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 12 flags of order 4.
Generated 5 types of order 4, with [63, 53, 36, 19, 11] flags of order 5.
Generated 322 admissible graphs.
Approximate floating-point bound is 0.37500000

$ sage -python scripts/find_sharp_graphs.py --dir output/56if32
Floating point bound is 0.375000000110041698.
6 members of H are sharp.
0.375000000055045690 : graph 1 (6:)
0.375000000051747273 : graph 13 (6:123124125126)
0.375000000110041698 : graph 106 (6:123124125136146156)
0.375000000052185700 : graph 293 (6:123124135145236246356456)
0.375000000071176010 : graph 315 (6:123124125126134135136234235236)
0.375000000103678566 : graph 322 (6:123124125126134135146156234235246256)
Written sharp graphs to flags.py

$ sage -python scripts/check_construction.py --n 6 --r 3 --vertex-transitive 4:123124134234
Density is 3/8.
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/56if32
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/56if32
Floating point bound is 0.375000000110041698.
Type 1: smallest eigenvalue is 0.485331285426027104
Type 2: smallest eigenvalue is 0.003623189896251722
Type 3: smallest eigenvalue is 0.073415238973857572
Type 4: smallest eigenvalue is 0.060715859372936255
Type 5: smallest eigenvalue is 0.053781043171045463
Type 6: smallest eigenvalue is 0.093875911570509660
Type 7: smallest eigenvalue is 0.087679247553192285
Written r.py
Written qdashf.py

$ sage -python scripts/make_exact_qdash.py '3/8' --denominator 240 --dir output/56if32 --diagonalize
Type 1: smallest eigenvalue is 0.485325618898108879
Type 2: smallest eigenvalue is 0.005638240547685797
Type 3: smallest eigenvalue is 0.077619734997291745
Type 4: smallest eigenvalue is 0.059834827335103813
Type 5: smallest eigenvalue is 0.055144517887607360
Type 6: smallest eigenvalue is 0.094002030962242022
Type 7: smallest eigenvalue is 0.093235519237584163
Diagonalizing matrices...
Written qdash.py
Written r.py
Added exact bound to flags.py

$ sage -python scripts/verify_bound.py --dir output/56if32
Written q.py
Floating point bound (non-sharp graphs) is 0.373101253485720485
Exact bound (just sharp graphs) is 3/8
Bound (all graphs) is 3/8

$ sage -python scripts/make_certificate.py --dir output/56if32
Written certificate to cert.js