[\![157,\,29,\,3]\!] factory

\mathrm{S}^\dagger on output 0, \mathrm{Z} on output 1, \mathrm{Z} on output 2, \mathrm{S}^\dagger on output 3, \mathrm{Z} on output 5, \mathrm{Z} on output 6, \mathrm{Z} on output 7, \mathrm{Z} on output 8, \mathrm{Z} on output 9, \mathrm{Z} on output 10, \mathrm{S} on output 11, \mathrm{Z} on output 12, \mathrm{S}^\dagger on output 13, \mathrm{Z} on output 14, \mathrm{S}^\dagger on output 15, \mathrm{S}^\dagger on output 16, \mathrm{S}^\dagger on output 17, \mathrm{Z} on output 18, \mathrm{S} on output 19, \mathrm{Z} on output 20, \mathrm{Z} on output 21, \mathrm{Z} on output 22, \mathrm{Z} on output 23, \mathrm{S}^\dagger on output 24, \mathrm{Z} on output 25, \mathrm{Z} on output 26, \mathrm{Z} on output 27, \mathrm{Z} on output 28, \mathrm{S} on check 29, \mathrm{S} on check 30, \mathrm{S} on check 31, \mathrm{S} on check 32, \mathrm{Z} on check 33, \mathrm{Z} on check 35, \mathrm{S} on check 36, \mathrm{S} on check 37, \mathrm{CZ} on output 0, output 1, \mathrm{CZ} on output 0, output 2, \mathrm{CZ} on output 0, output 5, \mathrm{CZ} on output 0, output 6, \mathrm{CZ} on output 0, output 7, \mathrm{CZ} on output 0, output 8, \mathrm{CZ} on output 0, output 9, \mathrm{CZ} on output 0, output 10, \mathrm{CZ} on output 0, output 12, \mathrm{CZ} on output 0, output 14, \mathrm{CZ} on output 0, output 18, \mathrm{CZ} on output 0, output 20, \mathrm{CZ} on output 0, output 21, \mathrm{CZ} on output 0, output 22, \mathrm{CZ} on output 0, output 23, \mathrm{CZ} on output 0, output 25, \mathrm{CZ} on output 0, output 26, \mathrm{CZ} on output 0, output 27, \mathrm{CZ} on output 0, output 28, \mathrm{CZ} on output 0, check 29, \mathrm{CZ} on output 0, check 30, \mathrm{CZ} on output 0, check 32, \mathrm{CZ} on output 0, check 33, \mathrm{CZ} on output 0, check 37, \mathrm{CZ} on output 1, output 3, \mathrm{CZ} on output 1, output 4, \mathrm{CZ} on output 1, output 5, \mathrm{CZ} on output 1, output 7, \mathrm{CZ} on output 1, output 9, \mathrm{CZ} on output 1, output 13, \mathrm{CZ} on output 1, output 15, \mathrm{CZ} on output 1, output 16, \mathrm{CZ} on output 1, output 17, \mathrm{CZ} on output 1, output 18, \mathrm{CZ} on output 1, output 20, \mathrm{CZ} on output 1, output 24, \mathrm{CZ} on output 1, check 29, \mathrm{CZ} on output 1, check 32, \mathrm{CZ} on output 1, check 35, \mathrm{CZ} on output 1, check 37, \mathrm{CZ} on output 2, output 3, \mathrm{CZ} on output 2, output 4, \mathrm{CZ} on output 2, output 6, \mathrm{CZ} on output 2, output 8, \mathrm{CZ} on output 2, output 10, \mathrm{CZ} on output 2, output 12, \mathrm{CZ} on output 2, output 13, \mathrm{CZ} on output 2, output 14, \mathrm{CZ} on output 2, output 15, \mathrm{CZ} on output 2, output 16, \mathrm{CZ} on output 2, output 17, \mathrm{CZ} on output 2, output 21, \mathrm{CZ} on output 2, output 22, \mathrm{CZ} on output 2, output 23, \mathrm{CZ} on output 2, output 24, \mathrm{CZ} on output 2, output 25, \mathrm{CZ} on output 2, output 26, \mathrm{CZ} on output 2, output 27, \mathrm{CZ} on output 2, output 28, \mathrm{CZ} on output 2, check 30, \mathrm{CZ} on output 2, check 33, \mathrm{CZ} on output 2, check 35, \mathrm{CZ} on output 3, output 5, \mathrm{CZ} on output 3, output 6, \mathrm{CZ} on output 3, output 7, \mathrm{CZ} on output 3, output 8, \mathrm{CZ} on output 3, output 9, \mathrm{CZ} on output 3, output 10, \mathrm{CZ} on output 3, output 12, \mathrm{CZ} on output 3, output 14, \mathrm{CZ} on output 3, output 18, \mathrm{CZ} on output 3, output 20, \mathrm{CZ} on output 3, output 21, \mathrm{CZ} on output 3, output 22, \mathrm{CZ} on output 3, output 23, \mathrm{CZ} on output 3, output 25, \mathrm{CZ} on output 3, output 26, \mathrm{CZ} on output 3, output 27, \mathrm{CZ} on output 3, output 28, \mathrm{CZ} on output 3, check 29, \mathrm{CZ} on output 3, check 30, \mathrm{CZ} on output 3, check 32, \mathrm{CZ} on output 3, check 33, \mathrm{CZ} on output 3, check 37, \mathrm{CZ} on output 4, output 5, \mathrm{CZ} on output 4, output 6, \mathrm{CZ} on output 4, output 7, \mathrm{CZ} on output 4, output 8, \mathrm{CZ} on output 4, output 9, \mathrm{CZ} on output 4, output 10, \mathrm{CZ} on output 4, output 12, \mathrm{CZ} on output 4, output 14, \mathrm{CZ} on output 4, output 18, \mathrm{CZ} on output 4, output 20, \mathrm{CZ} on output 4, output 21, \mathrm{CZ} on output 4, output 22, \mathrm{CZ} on output 4, output 23, \mathrm{CZ} on output 4, output 25, \mathrm{CZ} on output 4, output 26, \mathrm{CZ} on output 4, output 27, \mathrm{CZ} on output 4, output 28, \mathrm{CZ} on output 4, check 29, \mathrm{CZ} on output 4, check 30, \mathrm{CZ} on output 4, check 31, \mathrm{CZ} on output 4, check 32, \mathrm{CZ} on output 4, check 36, \mathrm{CZ} on output 4, check 37, \mathrm{CZ} on output 5, output 7, \mathrm{CZ} on output 5, output 9, \mathrm{CZ} on output 5, output 13, \mathrm{CZ} on output 5, output 15, \mathrm{CZ} on output 5, output 16, \mathrm{CZ} on output 5, output 17, \mathrm{CZ} on output 5, output 18, \mathrm{CZ} on output 5, output 20, \mathrm{CZ} on output 5, output 24, \mathrm{CZ} on output 5, check 29, \mathrm{CZ} on output 5, check 32, \mathrm{CZ} on output 5, check 35, \mathrm{CZ} on output 5, check 37, \mathrm{CZ} on output 6, output 8, \mathrm{CZ} on output 6, output 10, \mathrm{CZ} on output 6, output 12, \mathrm{CZ} on output 6, output 13, \mathrm{CZ} on output 6, output 14, \mathrm{CZ} on output 6, output 15, \mathrm{CZ} on output 6, output 16, \mathrm{CZ} on output 6, output 17, \mathrm{CZ} on output 6, output 21, \mathrm{CZ} on output 6, output 22, \mathrm{CZ} on output 6, output 23, \mathrm{CZ} on output 6, output 24, \mathrm{CZ} on output 6, output 25, \mathrm{CZ} on output 6, output 26, \mathrm{CZ} on output 6, output 27, \mathrm{CZ} on output 6, output 28, \mathrm{CZ} on output 6, check 30, \mathrm{CZ} on output 6, check 33, \mathrm{CZ} on output 6, check 35, \mathrm{CZ} on output 7, output 9, \mathrm{CZ} on output 7, output 13, \mathrm{CZ} on output 7, output 15, \mathrm{CZ} on output 7, output 16, \mathrm{CZ} on output 7, output 17, \mathrm{CZ} on output 7, output 18, \mathrm{CZ} on output 7, output 20, \mathrm{CZ} on output 7, output 24, \mathrm{CZ} on output 7, check 29, \mathrm{CZ} on output 7, check 32, \mathrm{CZ} on output 7, check 35, \mathrm{CZ} on output 7, check 37, \mathrm{CZ} on output 8, output 10, \mathrm{CZ} on output 8, output 12, \mathrm{CZ} on output 8, output 13, \mathrm{CZ} on output 8, output 14, \mathrm{CZ} on output 8, output 15, \mathrm{CZ} on output 8, output 16, \mathrm{CZ} on output 8, output 17, \mathrm{CZ} on output 8, output 21, \mathrm{CZ} on output 8, output 22, \mathrm{CZ} on output 8, output 23, \mathrm{CZ} on output 8, output 24, \mathrm{CZ} on output 8, output 25, \mathrm{CZ} on output 8, output 26, \mathrm{CZ} on output 8, output 27, \mathrm{CZ} on output 8, output 28, \mathrm{CZ} on output 8, check 30, \mathrm{CZ} on output 8, check 33, \mathrm{CZ} on output 8, check 35, \mathrm{CZ} on output 9, output 13, \mathrm{CZ} on output 9, output 15, \mathrm{CZ} on output 9, output 16, \mathrm{CZ} on output 9, output 17, \mathrm{CZ} on output 9, output 18, \mathrm{CZ} on output 9, output 20, \mathrm{CZ} on output 9, output 24, \mathrm{CZ} on output 9, check 29, \mathrm{CZ} on output 9, check 32, \mathrm{CZ} on output 9, check 35, \mathrm{CZ} on output 9, check 37, \mathrm{CZ} on output 10, output 12, \mathrm{CZ} on output 10, output 13, \mathrm{CZ} on output 10, output 14, \mathrm{CZ} on output 10, output 15, \mathrm{CZ} on output 10, output 16, \mathrm{CZ} on output 10, output 17, \mathrm{CZ} on output 10, output 21, \mathrm{CZ} on output 10, output 22, \mathrm{CZ} on output 10, output 23, \mathrm{CZ} on output 10, output 24, \mathrm{CZ} on output 10, output 25, \mathrm{CZ} on output 10, output 26, \mathrm{CZ} on output 10, output 27, \mathrm{CZ} on output 10, output 28, \mathrm{CZ} on output 10, check 30, \mathrm{CZ} on output 10, check 33, \mathrm{CZ} on output 10, check 35, \mathrm{CZ} on output 12, output 13, \mathrm{CZ} on output 12, output 14, \mathrm{CZ} on output 12, output 15, \mathrm{CZ} on output 12, output 16, \mathrm{CZ} on output 12, output 17, \mathrm{CZ} on output 12, output 21, \mathrm{CZ} on output 12, output 22, \mathrm{CZ} on output 12, output 23, \mathrm{CZ} on output 12, output 24, \mathrm{CZ} on output 12, output 25, \mathrm{CZ} on output 12, output 26, \mathrm{CZ} on output 12, output 27, \mathrm{CZ} on output 12, output 28, \mathrm{CZ} on output 12, check 30, \mathrm{CZ} on output 12, check 33, \mathrm{CZ} on output 12, check 35, \mathrm{CZ} on output 13, output 14, \mathrm{CZ} on output 13, output 18, \mathrm{CZ} on output 13, output 20, \mathrm{CZ} on output 13, output 21, \mathrm{CZ} on output 13, output 22, \mathrm{CZ} on output 13, output 23, \mathrm{CZ} on output 13, output 25, \mathrm{CZ} on output 13, output 26, \mathrm{CZ} on output 13, output 27, \mathrm{CZ} on output 13, output 28, \mathrm{CZ} on output 13, check 29, \mathrm{CZ} on output 13, check 30, \mathrm{CZ} on output 13, check 32, \mathrm{CZ} on output 13, check 33, \mathrm{CZ} on output 13, check 37, \mathrm{CZ} on output 14, output 15, \mathrm{CZ} on output 14, output 16, \mathrm{CZ} on output 14, output 17, \mathrm{CZ} on output 14, output 21, \mathrm{CZ} on output 14, output 22, \mathrm{CZ} on output 14, output 23, \mathrm{CZ} on output 14, output 24, \mathrm{CZ} on output 14, output 25, \mathrm{CZ} on output 14, output 26, \mathrm{CZ} on output 14, output 27, \mathrm{CZ} on output 14, output 28, \mathrm{CZ} on output 14, check 30, \mathrm{CZ} on output 14, check 33, \mathrm{CZ} on output 14, check 35, \mathrm{CZ} on output 15, output 18, \mathrm{CZ} on output 15, output 20, \mathrm{CZ} on output 15, output 21, \mathrm{CZ} on output 15, output 22, \mathrm{CZ} on output 15, output 23, \mathrm{CZ} on output 15, output 25, \mathrm{CZ} on output 15, output 26, \mathrm{CZ} on output 15, output 27, \mathrm{CZ} on output 15, output 28, \mathrm{CZ} on output 15, check 29, \mathrm{CZ} on output 15, check 30, \mathrm{CZ} on output 15, check 32, \mathrm{CZ} on output 15, check 33, \mathrm{CZ} on output 15, check 37, \mathrm{CZ} on output 16, output 18, \mathrm{CZ} on output 16, output 20, \mathrm{CZ} on output 16, output 21, \mathrm{CZ} on output 16, output 22, \mathrm{CZ} on output 16, output 23, \mathrm{CZ} on output 16, output 25, \mathrm{CZ} on output 16, output 26, \mathrm{CZ} on output 16, output 27, \mathrm{CZ} on output 16, output 28, \mathrm{CZ} on output 16, check 29, \mathrm{CZ} on output 16, check 30, \mathrm{CZ} on output 16, check 32, \mathrm{CZ} on output 16, check 33, \mathrm{CZ} on output 16, check 37, \mathrm{CZ} on output 17, output 18, \mathrm{CZ} on output 17, output 20, \mathrm{CZ} on output 17, output 21, \mathrm{CZ} on output 17, output 22, \mathrm{CZ} on output 17, output 23, \mathrm{CZ} on output 17, output 25, \mathrm{CZ} on output 17, output 26, \mathrm{CZ} on output 17, output 27, \mathrm{CZ} on output 17, output 28, \mathrm{CZ} on output 17, check 29, \mathrm{CZ} on output 17, check 30, \mathrm{CZ} on output 17, check 32, \mathrm{CZ} on output 17, check 33, \mathrm{CZ} on output 17, check 37, \mathrm{CZ} on output 18, output 20, \mathrm{CZ} on output 18, output 24, \mathrm{CZ} on output 18, check 29, \mathrm{CZ} on output 18, check 32, \mathrm{CZ} on output 18, check 35, \mathrm{CZ} on output 18, check 37, \mathrm{CZ} on output 20, output 24, \mathrm{CZ} on output 20, check 29, \mathrm{CZ} on output 20, check 32, \mathrm{CZ} on output 20, check 35, \mathrm{CZ} on output 20, check 37, \mathrm{CZ} on output 21, output 22, \mathrm{CZ} on output 21, output 23, \mathrm{CZ} on output 21, output 24, \mathrm{CZ} on output 21, output 25, \mathrm{CZ} on output 21, output 26, \mathrm{CZ} on output 21, output 27, \mathrm{CZ} on output 21, output 28, \mathrm{CZ} on output 21, check 30, \mathrm{CZ} on output 21, check 33, \mathrm{CZ} on output 21, check 35, \mathrm{CZ} on output 22, output 23, \mathrm{CZ} on output 22, output 24, \mathrm{CZ} on output 22, output 25, \mathrm{CZ} on output 22, output 26, \mathrm{CZ} on output 22, output 27, \mathrm{CZ} on output 22, output 28, \mathrm{CZ} on output 22, check 30, \mathrm{CZ} on output 22, check 33, \mathrm{CZ} on output 22, check 35, \mathrm{CZ} on output 23, output 24, \mathrm{CZ} on output 23, output 25, \mathrm{CZ} on output 23, output 26, \mathrm{CZ} on output 23, output 27, \mathrm{CZ} on output 23, output 28, \mathrm{CZ} on output 23, check 30, \mathrm{CZ} on output 23, check 33, \mathrm{CZ} on output 23, check 35, \mathrm{CZ} on output 24, output 25, \mathrm{CZ} on output 24, output 26, \mathrm{CZ} on output 24, output 27, \mathrm{CZ} on output 24, output 28, \mathrm{CZ} on output 24, check 29, \mathrm{CZ} on output 24, check 30, \mathrm{CZ} on output 24, check 32, \mathrm{CZ} on output 24, check 33, \mathrm{CZ} on output 24, check 37, \mathrm{CZ} on output 25, output 26, \mathrm{CZ} on output 25, output 27, \mathrm{CZ} on output 25, output 28, \mathrm{CZ} on output 25, check 30, \mathrm{CZ} on output 25, check 33, \mathrm{CZ} on output 25, check 35, \mathrm{CZ} on output 26, output 27, \mathrm{CZ} on output 26, output 28, \mathrm{CZ} on output 26, check 30, \mathrm{CZ} on output 26, check 33, \mathrm{CZ} on output 26, check 35, \mathrm{CZ} on output 27, output 28, \mathrm{CZ} on output 27, check 30, \mathrm{CZ} on output 27, check 33, \mathrm{CZ} on output 27, check 35, \mathrm{CZ} on output 28, check 30, \mathrm{CZ} on output 28, check 33, \mathrm{CZ} on output 28, check 35, \mathrm{CZ} on check 29, check 32, \mathrm{CZ} on check 29, check 35, \mathrm{CZ} on check 29, check 37, \mathrm{CZ} on check 30, check 33, \mathrm{CZ} on check 30, check 35, \mathrm{CZ} on check 31, check 33, \mathrm{CZ} on check 31, check 36, \mathrm{CZ} on check 32, check 35, \mathrm{CZ} on check 32, check 37, \mathrm{CZ} on check 33, check 35, \mathrm{CZ} on check 33, check 36, \mathrm{CZ} on check 35, check 37

4, 9, 10, 12, 20, 26, 28, 35, 36, 38, 39, 44, 51, 53, 54, 57, 59, 60, 62, 63, 65, 66, 67, 68, 73, 74, 75, 76, 79, 80, 85, 87, 90, 92, 95, 96, 97, 99, 101, 104, 106, 108, 109, 112, 113, 115, 117, 118, 121, 122, 123, 125, 128, 129, 132, 134, 135, 136, 137, 145, 147, 150, 151, 152, 154, 156

[
 {
  "regime": "AI search (gamma frontier): from Wills parent codes",
  "file": "gamma_frontier_release/protocols/paired_column_contraction_157_29_3_973bf059080a.json",
  "label": "paired_column_contraction_157_29_3_973bf059080a",
  "N": 38,
  "d": 3,
  "d_is_exact": true,
  "origin": "Wills-derived four-block Schur-orthogonal restricted-light parent (|S|=48), with searched graph punctures; 3 paired-column contractions",
  "provenance": "gamma frontier release record paired_column_contraction_157_29_3_973bf059080a (source catalogue id paired_column_contraction_157_29_3_973bf059080a); construction: Wills-derived four-block Schur-orthogonal restricted-light parent (|S|=48), with searched graph punctures; 3 paired-column contractions; matrix 973bf059080a286d...; the release states d=3 (exact), gamma=1.5373485193847718 (exact)",
  "notes": "matrix gamma_frontier_release/matrices/973bf059080a286d51ceb588d1b92f85ae87e6f75bdc8c55833addec27782c1f.matrix"
 }
]