[\![208,\,42,\,3]\!] factory

\mathrm{Z} on output 0, \mathrm{S} on output 1, \mathrm{S} on output 2, \mathrm{Z} on output 3, \mathrm{S} on output 4, \mathrm{Z} on output 5, \mathrm{S} on output 6, \mathrm{S} on output 7, \mathrm{Z} on output 8, \mathrm{S} on output 9, \mathrm{S} on output 10, \mathrm{Z} on output 11, \mathrm{Z} on output 12, \mathrm{Z} on output 13, \mathrm{S} on output 14, \mathrm{S} on output 15, \mathrm{Z} on output 16, \mathrm{Z} on output 17, \mathrm{Z} on output 18, \mathrm{S} on output 19, \mathrm{S} on output 20, \mathrm{S}^\dagger on output 21, \mathrm{S} on output 22, \mathrm{Z} on output 23, \mathrm{S} on output 24, \mathrm{Z} on output 25, \mathrm{S} on output 26, \mathrm{Z} on output 27, \mathrm{S} on output 28, \mathrm{S}^\dagger on output 29, \mathrm{Z} on output 30, \mathrm{Z} on output 31, \mathrm{S} on output 32, \mathrm{Z} on output 33, \mathrm{Z} on output 34, \mathrm{S} on output 35, \mathrm{Z} on output 36, \mathrm{Z} on output 37, \mathrm{Z} on output 38, \mathrm{Z} on output 39, \mathrm{S} on output 40, \mathrm{S} on output 41, \mathrm{S} on check 42, \mathrm{S} on check 44, \mathrm{Z} on check 46, \mathrm{S} on check 47, \mathrm{S} on check 48, \mathrm{Z} on check 49, \mathrm{Z} on check 50, \mathrm{Z} on check 51, \mathrm{CZ} on output 0, output 3, \mathrm{CZ} on output 0, output 5, \mathrm{CZ} on output 0, output 8, \mathrm{CZ} on output 0, output 11, \mathrm{CZ} on output 0, output 12, \mathrm{CZ} on output 0, output 13, \mathrm{CZ} on output 0, output 16, \mathrm{CZ} on output 0, output 17, \mathrm{CZ} on output 0, output 18, \mathrm{CZ} on output 0, output 21, \mathrm{CZ} on output 0, output 23, \mathrm{CZ} on output 0, output 25, \mathrm{CZ} on output 0, output 27, \mathrm{CZ} on output 0, output 29, \mathrm{CZ} on output 0, output 30, \mathrm{CZ} on output 0, output 31, \mathrm{CZ} on output 0, output 33, \mathrm{CZ} on output 0, output 34, \mathrm{CZ} on output 0, output 36, \mathrm{CZ} on output 0, output 37, \mathrm{CZ} on output 0, output 38, \mathrm{CZ} on output 0, output 39, \mathrm{CZ} on output 0, check 42, \mathrm{CZ} on output 0, check 44, \mathrm{CZ} on output 0, check 47, \mathrm{CZ} on output 0, check 49, \mathrm{CZ} on output 0, check 50, \mathrm{CZ} on output 3, output 5, \mathrm{CZ} on output 3, output 8, \mathrm{CZ} on output 3, output 11, \mathrm{CZ} on output 3, output 12, \mathrm{CZ} on output 3, output 13, \mathrm{CZ} on output 3, output 16, \mathrm{CZ} on output 3, output 17, \mathrm{CZ} on output 3, output 18, \mathrm{CZ} on output 3, output 21, \mathrm{CZ} on output 3, output 23, \mathrm{CZ} on output 3, output 25, \mathrm{CZ} on output 3, output 27, \mathrm{CZ} on output 3, output 29, \mathrm{CZ} on output 3, output 30, \mathrm{CZ} on output 3, output 31, \mathrm{CZ} on output 3, output 33, \mathrm{CZ} on output 3, output 34, \mathrm{CZ} on output 3, output 36, \mathrm{CZ} on output 3, output 37, \mathrm{CZ} on output 3, output 38, \mathrm{CZ} on output 3, output 39, \mathrm{CZ} on output 3, check 42, \mathrm{CZ} on output 3, check 44, \mathrm{CZ} on output 3, check 47, \mathrm{CZ} on output 3, check 49, \mathrm{CZ} on output 3, check 50, \mathrm{CZ} on output 5, output 8, \mathrm{CZ} on output 5, output 11, \mathrm{CZ} on output 5, output 12, \mathrm{CZ} on output 5, output 13, \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 21, \mathrm{CZ} on output 5, output 23, \mathrm{CZ} on output 5, output 25, \mathrm{CZ} on output 5, output 27, \mathrm{CZ} on output 5, output 29, \mathrm{CZ} on output 5, output 30, \mathrm{CZ} on output 5, output 31, \mathrm{CZ} on output 5, output 33, \mathrm{CZ} on output 5, output 34, \mathrm{CZ} on output 5, output 36, \mathrm{CZ} on output 5, output 37, \mathrm{CZ} on output 5, output 38, \mathrm{CZ} on output 5, output 39, \mathrm{CZ} on output 5, check 42, \mathrm{CZ} on output 5, check 44, \mathrm{CZ} on output 5, check 47, \mathrm{CZ} on output 5, check 49, \mathrm{CZ} on output 5, check 50, \mathrm{CZ} on output 8, output 11, \mathrm{CZ} on output 8, output 12, \mathrm{CZ} on output 8, output 13, \mathrm{CZ} on output 8, output 16, \mathrm{CZ} on output 8, output 17, \mathrm{CZ} on output 8, output 18, \mathrm{CZ} on output 8, output 21, \mathrm{CZ} on output 8, output 23, \mathrm{CZ} on output 8, output 25, \mathrm{CZ} on output 8, output 27, \mathrm{CZ} on output 8, output 29, \mathrm{CZ} on output 8, output 30, \mathrm{CZ} on output 8, output 31, \mathrm{CZ} on output 8, output 33, \mathrm{CZ} on output 8, output 34, \mathrm{CZ} on output 8, output 36, \mathrm{CZ} on output 8, output 37, \mathrm{CZ} on output 8, output 38, \mathrm{CZ} on output 8, output 39, \mathrm{CZ} on output 8, check 42, \mathrm{CZ} on output 8, check 44, \mathrm{CZ} on output 8, check 47, \mathrm{CZ} on output 8, check 49, \mathrm{CZ} on output 8, check 50, \mathrm{CZ} on output 11, output 12, \mathrm{CZ} on output 11, output 13, \mathrm{CZ} on output 11, output 16, \mathrm{CZ} on output 11, output 17, \mathrm{CZ} on output 11, output 18, \mathrm{CZ} on output 11, output 21, \mathrm{CZ} on output 11, output 23, \mathrm{CZ} on output 11, output 25, \mathrm{CZ} on output 11, output 27, \mathrm{CZ} on output 11, output 29, \mathrm{CZ} on output 11, output 30, \mathrm{CZ} on output 11, output 31, \mathrm{CZ} on output 11, output 33, \mathrm{CZ} on output 11, output 34, \mathrm{CZ} on output 11, output 36, \mathrm{CZ} on output 11, output 37, \mathrm{CZ} on output 11, output 38, \mathrm{CZ} on output 11, output 39, \mathrm{CZ} on output 11, check 42, \mathrm{CZ} on output 11, check 44, \mathrm{CZ} on output 11, check 47, \mathrm{CZ} on output 11, check 49, \mathrm{CZ} on output 11, check 50, \mathrm{CZ} on output 12, output 13, \mathrm{CZ} on output 12, output 16, \mathrm{CZ} on output 12, output 17, \mathrm{CZ} on output 12, output 18, \mathrm{CZ} on output 12, output 21, \mathrm{CZ} on output 12, output 23, \mathrm{CZ} on output 12, output 25, \mathrm{CZ} on output 12, output 27, \mathrm{CZ} on output 12, output 29, \mathrm{CZ} on output 12, output 30, \mathrm{CZ} on output 12, output 31, \mathrm{CZ} on output 12, output 33, \mathrm{CZ} on output 12, output 34, \mathrm{CZ} on output 12, output 36, \mathrm{CZ} on output 12, output 37, \mathrm{CZ} on output 12, output 38, \mathrm{CZ} on output 12, output 39, \mathrm{CZ} on output 12, check 42, \mathrm{CZ} on output 12, check 44, \mathrm{CZ} on output 12, check 47, \mathrm{CZ} on output 12, check 49, \mathrm{CZ} on output 12, check 50, \mathrm{CZ} on output 13, output 16, \mathrm{CZ} on output 13, output 17, \mathrm{CZ} on output 13, output 18, \mathrm{CZ} on output 13, output 21, \mathrm{CZ} on output 13, output 23, \mathrm{CZ} on output 13, output 25, \mathrm{CZ} on output 13, output 27, \mathrm{CZ} on output 13, output 29, \mathrm{CZ} on output 13, output 30, \mathrm{CZ} on output 13, output 31, \mathrm{CZ} on output 13, output 33, \mathrm{CZ} on output 13, output 34, \mathrm{CZ} on output 13, output 36, \mathrm{CZ} on output 13, output 37, \mathrm{CZ} on output 13, output 38, \mathrm{CZ} on output 13, output 39, \mathrm{CZ} on output 13, check 42, \mathrm{CZ} on output 13, check 44, \mathrm{CZ} on output 13, check 47, \mathrm{CZ} on output 13, check 49, \mathrm{CZ} on output 13, check 50, \mathrm{CZ} on output 16, output 17, \mathrm{CZ} on output 16, output 18, \mathrm{CZ} on output 16, output 21, \mathrm{CZ} on output 16, output 23, \mathrm{CZ} on output 16, output 25, \mathrm{CZ} on output 16, output 27, \mathrm{CZ} on output 16, output 29, \mathrm{CZ} on output 16, output 30, \mathrm{CZ} on output 16, output 31, \mathrm{CZ} on output 16, output 33, \mathrm{CZ} on output 16, output 34, \mathrm{CZ} on output 16, output 36, \mathrm{CZ} on output 16, output 37, \mathrm{CZ} on output 16, output 38, \mathrm{CZ} on output 16, output 39, \mathrm{CZ} on output 16, check 42, \mathrm{CZ} on output 16, check 44, \mathrm{CZ} on output 16, check 47, \mathrm{CZ} on output 16, check 49, \mathrm{CZ} on output 16, check 50, \mathrm{CZ} on output 17, output 18, \mathrm{CZ} on output 17, output 21, \mathrm{CZ} on output 17, output 23, \mathrm{CZ} on output 17, output 25, \mathrm{CZ} on output 17, output 27, \mathrm{CZ} on output 17, output 29, \mathrm{CZ} on output 17, output 30, \mathrm{CZ} on output 17, output 31, \mathrm{CZ} on output 17, output 33, \mathrm{CZ} on output 17, output 34, \mathrm{CZ} on output 17, output 36, \mathrm{CZ} on output 17, output 37, \mathrm{CZ} on output 17, output 38, \mathrm{CZ} on output 17, output 39, \mathrm{CZ} on output 17, check 42, \mathrm{CZ} on output 17, check 44, \mathrm{CZ} on output 17, check 47, \mathrm{CZ} on output 17, check 49, \mathrm{CZ} on output 17, check 50, \mathrm{CZ} on output 18, output 21, \mathrm{CZ} on output 18, output 23, \mathrm{CZ} on output 18, output 25, \mathrm{CZ} on output 18, output 27, \mathrm{CZ} on output 18, output 29, \mathrm{CZ} on output 18, output 30, \mathrm{CZ} on output 18, output 31, \mathrm{CZ} on output 18, output 33, \mathrm{CZ} on output 18, output 34, \mathrm{CZ} on output 18, output 36, \mathrm{CZ} on output 18, output 37, \mathrm{CZ} on output 18, output 38, \mathrm{CZ} on output 18, output 39, \mathrm{CZ} on output 18, check 42, \mathrm{CZ} on output 18, check 44, \mathrm{CZ} on output 18, check 47, \mathrm{CZ} on output 18, check 49, \mathrm{CZ} on output 18, check 50, \mathrm{CZ} on output 21, output 23, \mathrm{CZ} on output 21, output 25, \mathrm{CZ} on output 21, output 27, \mathrm{CZ} on output 21, output 29, \mathrm{CZ} on output 21, output 30, \mathrm{CZ} on output 21, output 31, \mathrm{CZ} on output 21, output 33, \mathrm{CZ} on output 21, output 34, \mathrm{CZ} on output 21, output 36, \mathrm{CZ} on output 21, output 37, \mathrm{CZ} on output 21, output 38, \mathrm{CZ} on output 21, output 39, \mathrm{CZ} on output 21, check 42, \mathrm{CZ} on output 21, check 44, \mathrm{CZ} on output 21, check 46, \mathrm{CZ} on output 21, check 47, \mathrm{CZ} on output 21, check 48, \mathrm{CZ} on output 21, check 49, \mathrm{CZ} on output 21, check 50, \mathrm{CZ} on output 21, check 51, \mathrm{CZ} on output 23, output 25, \mathrm{CZ} on output 23, output 27, \mathrm{CZ} on output 23, output 29, \mathrm{CZ} on output 23, output 30, \mathrm{CZ} on output 23, output 31, \mathrm{CZ} on output 23, output 33, \mathrm{CZ} on output 23, output 34, \mathrm{CZ} on output 23, output 36, \mathrm{CZ} on output 23, output 37, \mathrm{CZ} on output 23, output 38, \mathrm{CZ} on output 23, output 39, \mathrm{CZ} on output 23, check 42, \mathrm{CZ} on output 23, check 44, \mathrm{CZ} on output 23, check 47, \mathrm{CZ} on output 23, check 49, \mathrm{CZ} on output 23, check 50, \mathrm{CZ} on output 25, output 27, \mathrm{CZ} on output 25, output 29, \mathrm{CZ} on output 25, output 30, \mathrm{CZ} on output 25, output 31, \mathrm{CZ} on output 25, output 33, \mathrm{CZ} on output 25, output 34, \mathrm{CZ} on output 25, output 36, \mathrm{CZ} on output 25, output 37, \mathrm{CZ} on output 25, output 38, \mathrm{CZ} on output 25, output 39, \mathrm{CZ} on output 25, check 42, \mathrm{CZ} on output 25, check 44, \mathrm{CZ} on output 25, check 47, \mathrm{CZ} on output 25, check 49, \mathrm{CZ} on output 25, check 50, \mathrm{CZ} on output 27, output 29, \mathrm{CZ} on output 27, output 30, \mathrm{CZ} on output 27, output 31, \mathrm{CZ} on output 27, output 33, \mathrm{CZ} on output 27, output 34, \mathrm{CZ} on output 27, output 36, \mathrm{CZ} on output 27, output 37, \mathrm{CZ} on output 27, output 38, \mathrm{CZ} on output 27, output 39, \mathrm{CZ} on output 27, check 42, \mathrm{CZ} on output 27, check 44, \mathrm{CZ} on output 27, check 47, \mathrm{CZ} on output 27, check 49, \mathrm{CZ} on output 27, check 50, \mathrm{CZ} on output 29, output 30, \mathrm{CZ} on output 29, output 31, \mathrm{CZ} on output 29, output 33, \mathrm{CZ} on output 29, output 34, \mathrm{CZ} on output 29, output 36, \mathrm{CZ} on output 29, output 37, \mathrm{CZ} on output 29, output 38, \mathrm{CZ} on output 29, output 39, \mathrm{CZ} on output 29, check 42, \mathrm{CZ} on output 29, check 44, \mathrm{CZ} on output 29, check 46, \mathrm{CZ} on output 29, check 47, \mathrm{CZ} on output 29, check 51, \mathrm{CZ} on output 30, output 31, \mathrm{CZ} on output 30, output 33, \mathrm{CZ} on output 30, output 34, \mathrm{CZ} on output 30, output 36, \mathrm{CZ} on output 30, output 37, \mathrm{CZ} on output 30, output 38, \mathrm{CZ} on output 30, output 39, \mathrm{CZ} on output 30, check 42, \mathrm{CZ} on output 30, check 44, \mathrm{CZ} on output 30, check 47, \mathrm{CZ} on output 30, check 49, \mathrm{CZ} on output 30, check 50, \mathrm{CZ} on output 31, output 33, \mathrm{CZ} on output 31, output 34, \mathrm{CZ} on output 31, output 36, \mathrm{CZ} on output 31, output 37, \mathrm{CZ} on output 31, output 38, \mathrm{CZ} on output 31, output 39, \mathrm{CZ} on output 31, check 42, \mathrm{CZ} on output 31, check 44, \mathrm{CZ} on output 31, check 47, \mathrm{CZ} on output 31, check 49, \mathrm{CZ} on output 31, check 50, \mathrm{CZ} on output 33, output 34, \mathrm{CZ} on output 33, output 36, \mathrm{CZ} on output 33, output 37, \mathrm{CZ} on output 33, output 38, \mathrm{CZ} on output 33, output 39, \mathrm{CZ} on output 33, check 42, \mathrm{CZ} on output 33, check 44, \mathrm{CZ} on output 33, check 47, \mathrm{CZ} on output 33, check 49, \mathrm{CZ} on output 33, check 50, \mathrm{CZ} on output 34, output 36, \mathrm{CZ} on output 34, output 37, \mathrm{CZ} on output 34, output 38, \mathrm{CZ} on output 34, output 39, \mathrm{CZ} on output 34, check 42, \mathrm{CZ} on output 34, check 44, \mathrm{CZ} on output 34, check 47, \mathrm{CZ} on output 34, check 49, \mathrm{CZ} on output 34, check 50, \mathrm{CZ} on output 36, output 37, \mathrm{CZ} on output 36, output 38, \mathrm{CZ} on output 36, output 39, \mathrm{CZ} on output 36, check 42, \mathrm{CZ} on output 36, check 44, \mathrm{CZ} on output 36, check 47, \mathrm{CZ} on output 36, check 49, \mathrm{CZ} on output 36, check 50, \mathrm{CZ} on output 37, output 38, \mathrm{CZ} on output 37, output 39, \mathrm{CZ} on output 37, check 42, \mathrm{CZ} on output 37, check 44, \mathrm{CZ} on output 37, check 47, \mathrm{CZ} on output 37, check 49, \mathrm{CZ} on output 37, check 50, \mathrm{CZ} on output 38, output 39, \mathrm{CZ} on output 38, check 42, \mathrm{CZ} on output 38, check 44, \mathrm{CZ} on output 38, check 47, \mathrm{CZ} on output 38, check 49, \mathrm{CZ} on output 38, check 50, \mathrm{CZ} on output 39, check 42, \mathrm{CZ} on output 39, check 44, \mathrm{CZ} on output 39, check 47, \mathrm{CZ} on output 39, check 49, \mathrm{CZ} on output 39, check 50, \mathrm{CZ} on check 42, check 44, \mathrm{CZ} on check 42, check 47, \mathrm{CZ} on check 42, check 49, \mathrm{CZ} on check 42, check 50, \mathrm{CZ} on check 44, check 47, \mathrm{CZ} on check 44, check 49, \mathrm{CZ} on check 44, check 50, \mathrm{CZ} on check 46, check 48, \mathrm{CZ} on check 46, check 49, \mathrm{CZ} on check 46, check 50, \mathrm{CZ} on check 47, check 49, \mathrm{CZ} on check 47, check 50, \mathrm{CZ} on check 48, check 51, \mathrm{CZ} on check 49, check 51, \mathrm{CZ} on check 50, check 51

1, 4, 7, 11, 12, 14, 15, 16, 20, 21, 28, 29, 33, 35, 41, 47, 58, 59, 60, 68, 70, 71, 73, 76, 78, 80, 81, 82, 83, 84, 87, 88, 89, 92, 93, 95, 96, 99, 101, 102, 112, 114, 115, 118, 120, 122, 123, 124, 125, 126, 127, 132, 135, 139, 140, 141, 144, 147, 149, 151, 155, 156, 157, 158, 161, 162, 168, 169, 171, 172, 174, 176, 178, 182, 184, 185, 187, 190, 192, 193, 195, 200, 201, 202, 203, 205, 206

[
 {
  "regime": "AI search (gamma frontier): contraction of an existing code",
  "file": "gamma_frontier_release/protocols/paired_column_contraction_208_42_3_042547114354.json",
  "label": "paired_column_contraction_208_42_3_042547114354",
  "N": 53,
  "d": 3,
  "d_is_exact": true,
  "origin": "Existing triorthogonal code with physical paired-column contraction",
  "provenance": "gamma frontier release record paired_column_contraction_208_42_3_042547114354 (source catalogue id paired_column_contraction_208_42_3_042547114354); construction: Existing triorthogonal code with physical paired-column contraction; matrix 0425471143545c97...; the release states d=3 (exact), gamma=1.4562630310257427 (exact)",
  "notes": "matrix gamma_frontier_release/matrices/0425471143545c97c39bd29688dedc0bcd2714fcfc420c43ae43b3299b284f62.matrix"
 }
]