[\![212,\,40,\,3]\!] factory

\mathrm{Z} on output 0, \mathrm{Z} on output 1, \mathrm{Z} on output 2, \mathrm{S} on output 3, \mathrm{Z} on output 4, \mathrm{S} on output 5, \mathrm{S} on output 6, \mathrm{Z} on output 7, \mathrm{Z} on output 8, \mathrm{S} on output 9, \mathrm{S} on output 10, \mathrm{S} on output 11, \mathrm{Z} on output 12, \mathrm{S} on output 13, \mathrm{Z} on output 14, \mathrm{S} on output 15, \mathrm{S} on output 16, \mathrm{S} on output 17, \mathrm{S} on output 18, \mathrm{S} on output 19, \mathrm{Z} on output 20, \mathrm{S} on output 21, \mathrm{S} on output 22, \mathrm{Z} on output 23, \mathrm{Z} on output 24, \mathrm{S} on output 25, \mathrm{Z} on output 26, \mathrm{S} on output 27, \mathrm{Z} on output 28, \mathrm{S} on output 29, \mathrm{S} 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} on output 35, \mathrm{S} on output 36, \mathrm{S} on output 37, \mathrm{S} on output 38, \mathrm{Z} on output 39, \mathrm{Z} on check 40, \mathrm{S} on check 41, \mathrm{S} on check 42, \mathrm{Z} on check 43, \mathrm{S} on check 44, \mathrm{S} on check 47, \mathrm{S} on check 48, \mathrm{Z} on check 49, \mathrm{S} on check 50, \mathrm{S} on check 52, \mathrm{S} on check 53, \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 43, \mathrm{CZ} on output 0, check 44, \mathrm{CZ} on output 0, check 49, \mathrm{CZ} on output 0, check 52, \mathrm{CZ} on output 0, check 53, \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 43, \mathrm{CZ} on output 1, check 44, \mathrm{CZ} on output 1, check 49, \mathrm{CZ} on output 1, check 52, \mathrm{CZ} on output 1, check 53, \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 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 43, \mathrm{CZ} on output 2, check 44, \mathrm{CZ} on output 2, check 49, \mathrm{CZ} on output 2, check 52, \mathrm{CZ} on output 2, check 53, \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 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 43, \mathrm{CZ} on output 4, check 44, \mathrm{CZ} on output 4, check 49, \mathrm{CZ} on output 4, check 52, \mathrm{CZ} on output 4, check 53, \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 43, \mathrm{CZ} on output 7, check 44, \mathrm{CZ} on output 7, check 49, \mathrm{CZ} on output 7, check 52, \mathrm{CZ} on output 7, check 53, \mathrm{CZ} on output 8, output 12, \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 43, \mathrm{CZ} on output 8, check 44, \mathrm{CZ} on output 8, check 49, \mathrm{CZ} on output 8, check 52, \mathrm{CZ} on output 8, check 53, \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 43, \mathrm{CZ} on output 12, check 44, \mathrm{CZ} on output 12, check 49, \mathrm{CZ} on output 12, check 52, \mathrm{CZ} on output 12, check 53, \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 43, \mathrm{CZ} on output 14, check 47, \mathrm{CZ} on output 14, check 48, \mathrm{CZ} on output 14, check 49, \mathrm{CZ} on output 14, check 50, \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 43, \mathrm{CZ} on output 20, check 44, \mathrm{CZ} on output 20, check 49, \mathrm{CZ} on output 20, check 52, \mathrm{CZ} on output 20, check 53, \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 43, \mathrm{CZ} on output 23, check 44, \mathrm{CZ} on output 23, check 49, \mathrm{CZ} on output 23, check 52, \mathrm{CZ} on output 23, check 53, \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 43, \mathrm{CZ} on output 24, check 44, \mathrm{CZ} on output 24, check 49, \mathrm{CZ} on output 24, check 52, \mathrm{CZ} on output 24, check 53, \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 43, \mathrm{CZ} on output 26, check 44, \mathrm{CZ} on output 26, check 49, \mathrm{CZ} on output 26, check 52, \mathrm{CZ} on output 26, check 53, \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 43, \mathrm{CZ} on output 28, check 44, \mathrm{CZ} on output 28, check 49, \mathrm{CZ} on output 28, check 52, \mathrm{CZ} on output 28, check 53, \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 43, \mathrm{CZ} on output 31, check 44, \mathrm{CZ} on output 31, check 49, \mathrm{CZ} on output 31, check 52, \mathrm{CZ} on output 31, check 53, \mathrm{CZ} on output 34, output 39, \mathrm{CZ} on output 34, check 40, \mathrm{CZ} on output 34, check 43, \mathrm{CZ} on output 34, check 44, \mathrm{CZ} on output 34, check 49, \mathrm{CZ} on output 34, check 52, \mathrm{CZ} on output 34, check 53, \mathrm{CZ} on output 39, check 40, \mathrm{CZ} on output 39, check 43, \mathrm{CZ} on output 39, check 44, \mathrm{CZ} on output 39, check 49, \mathrm{CZ} on output 39, check 52, \mathrm{CZ} on output 39, check 53, \mathrm{CZ} on check 40, check 41, \mathrm{CZ} on check 40, check 42, \mathrm{CZ} on check 40, check 44, \mathrm{CZ} on check 40, check 47, \mathrm{CZ} on check 40, check 48, \mathrm{CZ} on check 40, check 50, \mathrm{CZ} on check 40, check 52, \mathrm{CZ} on check 40, check 53, \mathrm{CZ} on check 41, check 42, \mathrm{CZ} on check 41, check 43, \mathrm{CZ} on check 41, check 47, \mathrm{CZ} on check 41, check 48, \mathrm{CZ} on check 41, check 49, \mathrm{CZ} on check 41, check 50, \mathrm{CZ} on check 42, check 43, \mathrm{CZ} on check 42, check 47, \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 43, check 44, \mathrm{CZ} on check 43, check 47, \mathrm{CZ} on check 43, check 48, \mathrm{CZ} on check 43, check 50, \mathrm{CZ} on check 43, check 52, \mathrm{CZ} on check 43, check 53, \mathrm{CZ} on check 44, check 49, \mathrm{CZ} on check 44, check 52, \mathrm{CZ} on check 44, check 53, \mathrm{CZ} on check 47, check 48, \mathrm{CZ} on check 47, check 49, \mathrm{CZ} on check 47, check 50, \mathrm{CZ} on check 48, check 49, \mathrm{CZ} on check 48, check 50, \mathrm{CZ} on check 49, check 50, \mathrm{CZ} on check 49, check 52, \mathrm{CZ} on check 49, check 53, \mathrm{CZ} on check 52, check 53

3, 4, 6, 9, 17, 19, 21, 28, 32, 36, 37, 40, 53, 60, 63, 64, 66, 71, 72, 75, 76, 77, 82, 84, 86, 90, 92, 93, 94, 96, 97, 99, 100, 101, 102, 105, 106, 109, 113, 115, 117, 119, 122, 125, 126, 128, 130, 132, 137, 138, 141, 142, 144, 147, 150, 151, 153, 156, 159, 160, 162, 163, 164, 166, 167, 170, 171, 178, 181, 183, 184, 186, 187, 188, 189, 190, 191, 193, 194, 195, 197, 198, 203, 204, 207, 210, 211

[
 {
  "regime": "AI search (gamma frontier): contraction of an existing code",
  "file": "gamma_frontier_release/protocols/paired_column_contraction_212_40_3_e37afa333176.json",
  "label": "paired_column_contraction_212_40_3_e37afa333176",
  "N": 54,
  "d": 3,
  "d_is_exact": true,
  "origin": "Existing triorthogonal code with physical paired-column contraction",
  "provenance": "gamma frontier release record paired_column_contraction_212_40_3_e37afa333176 (source catalogue id paired_column_contraction_212_40_3_e37afa333176); construction: Existing triorthogonal code with physical paired-column contraction; matrix e37afa33317662c7...; the release states d=3 (exact), gamma=1.518012166585085 (exact)",
  "notes": "matrix gamma_frontier_release/matrices/e37afa33317662c727796a31e3e5c765943e9752fc69d867a0cf5ab1bf7e3380.matrix"
 }
]