[\![210,\,40,\,3]\!] factory

\mathrm{Z} on output 0, \mathrm{Z} on output 1, \mathrm{S} on output 3, \mathrm{S} on output 5, \mathrm{S} on output 6, \mathrm{Z} on output 7, \mathrm{S}^\dagger on output 9, \mathrm{S}^\dagger on output 10, \mathrm{S}^\dagger on output 11, \mathrm{S} on output 13, \mathrm{Z} on output 14, \mathrm{S} on output 15, \mathrm{Z} on output 16, \mathrm{S}^\dagger on output 17, \mathrm{S} on output 18, \mathrm{S} on output 19, \mathrm{S} on output 21, \mathrm{S}^\dagger on output 22, \mathrm{Z} on output 23, \mathrm{S} on output 25, \mathrm{S} on output 27, \mathrm{Z} on output 28, \mathrm{S} on output 29, \mathrm{S}^\dagger on output 30, \mathrm{Z} on output 31, \mathrm{S} on output 32, \mathrm{S} on output 33, \mathrm{Z} on output 34, \mathrm{S}^\dagger on output 35, \mathrm{S} on output 36, \mathrm{S} on output 37, \mathrm{S} on output 38, \mathrm{S}^\dagger on check 40, \mathrm{S} on check 41, \mathrm{Z} on check 42, \mathrm{Z} on check 43, \mathrm{S} on check 45, \mathrm{S} on check 46, \mathrm{S} on check 47, \mathrm{Z} on check 48, \mathrm{S} on check 49, \mathrm{Z} on check 50, \mathrm{S}^\dagger on check 51, \mathrm{S} on check 52, \mathrm{CZ} on output 0, output 1, \mathrm{CZ} on output 0, output 2, \mathrm{CZ} on output 0, output 4, \mathrm{CZ} on output 0, output 7, \mathrm{CZ} on output 0, output 8, \mathrm{CZ} on output 0, output 12, \mathrm{CZ} on output 0, output 20, \mathrm{CZ} on output 0, output 23, \mathrm{CZ} on output 0, output 24, \mathrm{CZ} on output 0, output 26, \mathrm{CZ} on output 0, output 28, \mathrm{CZ} on output 0, output 31, \mathrm{CZ} on output 0, output 34, \mathrm{CZ} on output 0, output 39, \mathrm{CZ} on output 0, check 40, \mathrm{CZ} on output 0, check 42, \mathrm{CZ} on output 0, check 43, \mathrm{CZ} on output 0, check 48, \mathrm{CZ} on output 0, check 51, \mathrm{CZ} on output 0, check 52, \mathrm{CZ} on output 1, output 2, \mathrm{CZ} on output 1, output 4, \mathrm{CZ} on output 1, output 7, \mathrm{CZ} on output 1, output 8, \mathrm{CZ} on output 1, output 12, \mathrm{CZ} on output 1, output 20, \mathrm{CZ} on output 1, output 23, \mathrm{CZ} on output 1, output 24, \mathrm{CZ} on output 1, output 26, \mathrm{CZ} on output 1, output 28, \mathrm{CZ} on output 1, output 31, \mathrm{CZ} on output 1, output 34, \mathrm{CZ} on output 1, output 39, \mathrm{CZ} on output 1, check 40, \mathrm{CZ} on output 1, check 42, \mathrm{CZ} on output 1, check 43, \mathrm{CZ} on output 1, check 48, \mathrm{CZ} on output 1, check 51, \mathrm{CZ} on output 1, check 52, \mathrm{CZ} on output 2, output 4, \mathrm{CZ} on output 2, output 7, \mathrm{CZ} on output 2, output 8, \mathrm{CZ} on output 2, output 12, \mathrm{CZ} on output 2, output 14, \mathrm{CZ} on output 2, output 16, \mathrm{CZ} on output 2, output 20, \mathrm{CZ} on output 2, output 23, \mathrm{CZ} on output 2, output 24, \mathrm{CZ} on output 2, output 26, \mathrm{CZ} on output 2, output 28, \mathrm{CZ} on output 2, output 31, \mathrm{CZ} on output 2, output 34, \mathrm{CZ} on output 2, output 39, \mathrm{CZ} on output 2, check 40, \mathrm{CZ} on output 2, check 41, \mathrm{CZ} on output 2, check 45, \mathrm{CZ} on output 2, check 46, \mathrm{CZ} on output 2, check 47, \mathrm{CZ} on output 2, check 49, \mathrm{CZ} on output 2, check 51, \mathrm{CZ} on output 2, check 52, \mathrm{CZ} on output 4, output 7, \mathrm{CZ} on output 4, output 8, \mathrm{CZ} on output 4, output 12, \mathrm{CZ} on output 4, output 14, \mathrm{CZ} on output 4, output 16, \mathrm{CZ} on output 4, output 20, \mathrm{CZ} on output 4, output 23, \mathrm{CZ} on output 4, output 24, \mathrm{CZ} on output 4, output 26, \mathrm{CZ} on output 4, output 28, \mathrm{CZ} on output 4, output 31, \mathrm{CZ} on output 4, output 34, \mathrm{CZ} on output 4, output 39, \mathrm{CZ} on output 4, check 40, \mathrm{CZ} on output 4, check 41, \mathrm{CZ} on output 4, check 45, \mathrm{CZ} on output 4, check 46, \mathrm{CZ} on output 4, check 47, \mathrm{CZ} on output 4, check 49, \mathrm{CZ} on output 4, check 51, \mathrm{CZ} on output 4, check 52, \mathrm{CZ} on output 7, output 8, \mathrm{CZ} on output 7, output 12, \mathrm{CZ} on output 7, output 20, \mathrm{CZ} on output 7, output 23, \mathrm{CZ} on output 7, output 24, \mathrm{CZ} on output 7, output 26, \mathrm{CZ} on output 7, output 28, \mathrm{CZ} on output 7, output 31, \mathrm{CZ} on output 7, output 34, \mathrm{CZ} on output 7, output 39, \mathrm{CZ} on output 7, check 40, \mathrm{CZ} on output 7, check 42, \mathrm{CZ} on output 7, check 43, \mathrm{CZ} on output 7, check 48, \mathrm{CZ} on output 7, check 51, \mathrm{CZ} on output 7, check 52, \mathrm{CZ} on output 8, output 12, \mathrm{CZ} on output 8, output 14, \mathrm{CZ} on output 8, output 16, \mathrm{CZ} on output 8, output 20, \mathrm{CZ} on output 8, output 23, \mathrm{CZ} on output 8, output 24, \mathrm{CZ} on output 8, output 26, \mathrm{CZ} on output 8, output 28, \mathrm{CZ} on output 8, output 31, \mathrm{CZ} on output 8, output 34, \mathrm{CZ} on output 8, output 39, \mathrm{CZ} on output 8, check 40, \mathrm{CZ} on output 8, check 41, \mathrm{CZ} on output 8, check 45, \mathrm{CZ} on output 8, check 46, \mathrm{CZ} on output 8, check 47, \mathrm{CZ} on output 8, check 49, \mathrm{CZ} on output 8, check 51, \mathrm{CZ} on output 8, check 52, \mathrm{CZ} on output 9, output 14, \mathrm{CZ} on output 9, output 16, \mathrm{CZ} on output 9, check 41, \mathrm{CZ} on output 9, check 42, \mathrm{CZ} on output 9, check 43, \mathrm{CZ} on output 9, check 45, \mathrm{CZ} on output 9, check 46, \mathrm{CZ} on output 9, check 47, \mathrm{CZ} on output 9, check 48, \mathrm{CZ} on output 9, check 49, \mathrm{CZ} on output 10, output 14, \mathrm{CZ} on output 10, output 16, \mathrm{CZ} on output 10, check 41, \mathrm{CZ} on output 10, check 42, \mathrm{CZ} on output 10, check 43, \mathrm{CZ} on output 10, check 45, \mathrm{CZ} on output 10, check 46, \mathrm{CZ} on output 10, check 47, \mathrm{CZ} on output 10, check 48, \mathrm{CZ} on output 10, check 49, \mathrm{CZ} on output 11, output 14, \mathrm{CZ} on output 11, output 16, \mathrm{CZ} on output 11, check 41, \mathrm{CZ} on output 11, check 42, \mathrm{CZ} on output 11, check 43, \mathrm{CZ} on output 11, check 45, \mathrm{CZ} on output 11, check 46, \mathrm{CZ} on output 11, check 47, \mathrm{CZ} on output 11, check 48, \mathrm{CZ} on output 11, check 49, \mathrm{CZ} on output 12, output 14, \mathrm{CZ} on output 12, output 16, \mathrm{CZ} on output 12, output 20, \mathrm{CZ} on output 12, output 23, \mathrm{CZ} on output 12, output 24, \mathrm{CZ} on output 12, output 26, \mathrm{CZ} on output 12, output 28, \mathrm{CZ} on output 12, output 31, \mathrm{CZ} on output 12, output 34, \mathrm{CZ} on output 12, output 39, \mathrm{CZ} on output 12, check 40, \mathrm{CZ} on output 12, check 41, \mathrm{CZ} on output 12, check 45, \mathrm{CZ} on output 12, check 46, \mathrm{CZ} on output 12, check 47, \mathrm{CZ} on output 12, check 49, \mathrm{CZ} on output 12, check 51, \mathrm{CZ} on output 12, check 52, \mathrm{CZ} on output 14, output 16, \mathrm{CZ} on output 14, output 17, \mathrm{CZ} on output 14, output 20, \mathrm{CZ} on output 14, output 22, \mathrm{CZ} on output 14, output 24, \mathrm{CZ} on output 14, output 26, \mathrm{CZ} on output 14, output 30, \mathrm{CZ} on output 14, output 35, \mathrm{CZ} on output 14, output 39, \mathrm{CZ} on output 14, check 40, \mathrm{CZ} on output 14, check 41, \mathrm{CZ} on output 14, check 42, \mathrm{CZ} on output 14, check 46, \mathrm{CZ} on output 14, check 49, \mathrm{CZ} on output 14, check 50, \mathrm{CZ} on output 14, check 51, \mathrm{CZ} on output 16, output 17, \mathrm{CZ} on output 16, output 20, \mathrm{CZ} on output 16, output 22, \mathrm{CZ} on output 16, output 24, \mathrm{CZ} on output 16, output 26, \mathrm{CZ} on output 16, output 30, \mathrm{CZ} on output 16, output 35, \mathrm{CZ} on output 16, output 39, \mathrm{CZ} on output 16, check 40, \mathrm{CZ} on output 16, check 41, \mathrm{CZ} on output 16, check 42, \mathrm{CZ} on output 16, check 46, \mathrm{CZ} on output 16, check 49, \mathrm{CZ} on output 16, check 50, \mathrm{CZ} on output 16, check 51, \mathrm{CZ} on output 17, check 41, \mathrm{CZ} on output 17, check 42, \mathrm{CZ} on output 17, check 43, \mathrm{CZ} on output 17, check 45, \mathrm{CZ} on output 17, check 46, \mathrm{CZ} on output 17, check 47, \mathrm{CZ} on output 17, check 48, \mathrm{CZ} on output 17, check 49, \mathrm{CZ} on output 20, output 23, \mathrm{CZ} on output 20, output 24, \mathrm{CZ} on output 20, output 26, \mathrm{CZ} on output 20, output 28, \mathrm{CZ} on output 20, output 31, \mathrm{CZ} on output 20, output 34, \mathrm{CZ} on output 20, output 39, \mathrm{CZ} on output 20, check 40, \mathrm{CZ} on output 20, check 41, \mathrm{CZ} on output 20, check 45, \mathrm{CZ} on output 20, check 46, \mathrm{CZ} on output 20, check 47, \mathrm{CZ} on output 20, check 49, \mathrm{CZ} on output 20, check 51, \mathrm{CZ} on output 20, check 52, \mathrm{CZ} on output 22, check 41, \mathrm{CZ} on output 22, check 42, \mathrm{CZ} on output 22, check 43, \mathrm{CZ} on output 22, check 45, \mathrm{CZ} on output 22, check 46, \mathrm{CZ} on output 22, check 47, \mathrm{CZ} on output 22, check 48, \mathrm{CZ} on output 22, check 49, \mathrm{CZ} on output 23, output 24, \mathrm{CZ} on output 23, output 26, \mathrm{CZ} on output 23, output 28, \mathrm{CZ} on output 23, output 31, \mathrm{CZ} on output 23, output 34, \mathrm{CZ} on output 23, output 39, \mathrm{CZ} on output 23, check 40, \mathrm{CZ} on output 23, check 42, \mathrm{CZ} on output 23, check 43, \mathrm{CZ} on output 23, check 48, \mathrm{CZ} on output 23, check 51, \mathrm{CZ} on output 23, check 52, \mathrm{CZ} on output 24, output 26, \mathrm{CZ} on output 24, output 28, \mathrm{CZ} on output 24, output 31, \mathrm{CZ} on output 24, output 34, \mathrm{CZ} on output 24, output 39, \mathrm{CZ} on output 24, check 40, \mathrm{CZ} on output 24, check 41, \mathrm{CZ} on output 24, check 45, \mathrm{CZ} on output 24, check 46, \mathrm{CZ} on output 24, check 47, \mathrm{CZ} on output 24, check 49, \mathrm{CZ} on output 24, check 51, \mathrm{CZ} on output 24, check 52, \mathrm{CZ} on output 26, output 28, \mathrm{CZ} on output 26, output 31, \mathrm{CZ} on output 26, output 34, \mathrm{CZ} on output 26, output 39, \mathrm{CZ} on output 26, check 40, \mathrm{CZ} on output 26, check 41, \mathrm{CZ} on output 26, check 45, \mathrm{CZ} on output 26, check 46, \mathrm{CZ} on output 26, check 47, \mathrm{CZ} on output 26, check 49, \mathrm{CZ} on output 26, check 51, \mathrm{CZ} on output 26, check 52, \mathrm{CZ} on output 28, output 31, \mathrm{CZ} on output 28, output 34, \mathrm{CZ} on output 28, output 39, \mathrm{CZ} on output 28, check 40, \mathrm{CZ} on output 28, check 42, \mathrm{CZ} on output 28, check 43, \mathrm{CZ} on output 28, check 48, \mathrm{CZ} on output 28, check 51, \mathrm{CZ} on output 28, check 52, \mathrm{CZ} on output 30, check 41, \mathrm{CZ} on output 30, check 42, \mathrm{CZ} on output 30, check 43, \mathrm{CZ} on output 30, check 45, \mathrm{CZ} on output 30, check 46, \mathrm{CZ} on output 30, check 47, \mathrm{CZ} on output 30, check 48, \mathrm{CZ} on output 30, check 49, \mathrm{CZ} on output 31, output 34, \mathrm{CZ} on output 31, output 39, \mathrm{CZ} on output 31, check 40, \mathrm{CZ} on output 31, check 42, \mathrm{CZ} on output 31, check 43, \mathrm{CZ} on output 31, check 48, \mathrm{CZ} on output 31, check 51, \mathrm{CZ} on output 31, check 52, \mathrm{CZ} on output 34, output 39, \mathrm{CZ} on output 34, check 40, \mathrm{CZ} on output 34, check 42, \mathrm{CZ} on output 34, check 43, \mathrm{CZ} on output 34, check 48, \mathrm{CZ} on output 34, check 51, \mathrm{CZ} on output 34, check 52, \mathrm{CZ} on output 35, check 41, \mathrm{CZ} on output 35, check 42, \mathrm{CZ} on output 35, check 43, \mathrm{CZ} on output 35, check 45, \mathrm{CZ} on output 35, check 46, \mathrm{CZ} on output 35, check 47, \mathrm{CZ} on output 35, check 48, \mathrm{CZ} on output 35, check 49, \mathrm{CZ} on output 39, check 40, \mathrm{CZ} on output 39, check 41, \mathrm{CZ} on output 39, check 45, \mathrm{CZ} on output 39, check 46, \mathrm{CZ} on output 39, check 47, \mathrm{CZ} on output 39, check 49, \mathrm{CZ} on output 39, check 51, \mathrm{CZ} on output 39, check 52, \mathrm{CZ} on check 40, check 41, \mathrm{CZ} on check 40, check 45, \mathrm{CZ} on check 40, check 46, \mathrm{CZ} on check 40, check 47, \mathrm{CZ} on check 40, check 49, \mathrm{CZ} on check 40, check 51, \mathrm{CZ} on check 40, check 52, \mathrm{CZ} on check 41, check 42, \mathrm{CZ} on check 41, check 46, \mathrm{CZ} on check 41, check 49, \mathrm{CZ} on check 41, check 50, \mathrm{CZ} on check 41, check 51, \mathrm{CZ} on check 42, check 43, \mathrm{CZ} on check 42, check 46, \mathrm{CZ} on check 42, check 48, \mathrm{CZ} on check 42, check 49, \mathrm{CZ} on check 42, check 50, \mathrm{CZ} on check 42, check 52, \mathrm{CZ} on check 43, check 45, \mathrm{CZ} on check 43, check 47, \mathrm{CZ} on check 43, check 50, \mathrm{CZ} on check 43, check 52, \mathrm{CZ} on check 45, check 47, \mathrm{CZ} on check 45, check 48, \mathrm{CZ} on check 45, check 50, \mathrm{CZ} on check 45, check 51, \mathrm{CZ} on check 46, check 49, \mathrm{CZ} on check 46, check 50, \mathrm{CZ} on check 46, check 51, \mathrm{CZ} on check 47, check 48, \mathrm{CZ} on check 47, check 50, \mathrm{CZ} on check 47, check 51, \mathrm{CZ} on check 48, check 50, \mathrm{CZ} on check 48, check 52, \mathrm{CZ} on check 49, check 50, \mathrm{CZ} on check 49, check 51, \mathrm{CZ} on check 51, check 52

2, 9, 21, 25, 27, 35, 40, 45, 57, 59, 60, 61, 64, 65, 69, 71, 73, 74, 77, 79, 82, 83, 86, 87, 88, 89, 91, 93, 95, 96, 97, 100, 101, 106, 108, 110, 115, 116, 118, 124, 126, 128, 134, 137, 139, 142, 144, 146, 148, 151, 152, 153, 156, 163, 164, 166, 167, 168, 169, 170, 176, 177, 183, 184, 185, 187, 188, 189, 191, 192, 195, 197, 198, 199, 200, 201, 202, 204, 205

[
 {
  "regime": "AI search (gamma frontier): contraction of an existing code",
  "file": "gamma_frontier_release/protocols/paired_column_contraction_210_40_3_1aea0b9276aa.json",
  "label": "paired_column_contraction_210_40_3_1aea0b9276aa",
  "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_210_40_3_1aea0b9276aa (source catalogue id paired_column_contraction_210_40_3_1aea0b9276aa); construction: Existing triorthogonal code with physical paired-column contraction; matrix 1aea0b9276aa33de...; the release states d=3 (exact), gamma=1.5093842420185073 (exact)",
  "notes": "matrix gamma_frontier_release/matrices/1aea0b9276aa33dedf466f4a3e1ee1574f2d168355470150f67ab844fb8b0c49.matrix"
 }
]