[\![159,\,29,\,3]\!] factory

\mathrm{S} on output 0, \mathrm{Z} on output 1, \mathrm{Z} on output 2, \mathrm{S} on output 3, \mathrm{S}^\dagger on output 4, \mathrm{Z} on output 5, \mathrm{Z} on output 6, \mathrm{Z} on output 7, \mathrm{S} on output 8, \mathrm{Z} 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{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} 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{Z} on check 32, \mathrm{S} on check 33, \mathrm{S} on check 34, \mathrm{Z} on check 37, \mathrm{S} on check 38, \mathrm{CZ} on output 1, output 2, \mathrm{CZ} on output 1, output 4, \mathrm{CZ} on output 1, output 5, \mathrm{CZ} on output 1, output 6, \mathrm{CZ} on output 1, output 7, \mathrm{CZ} on output 1, output 9, \mathrm{CZ} on output 1, output 12, \mathrm{CZ} on output 1, output 14, \mathrm{CZ} on output 1, output 18, \mathrm{CZ} on output 1, output 20, \mathrm{CZ} on output 1, output 21, \mathrm{CZ} on output 1, output 22, \mathrm{CZ} on output 1, output 23, \mathrm{CZ} on output 1, output 25, \mathrm{CZ} on output 1, output 26, \mathrm{CZ} on output 1, output 27, \mathrm{CZ} on output 1, output 28, \mathrm{CZ} on output 1, check 29, \mathrm{CZ} on output 1, check 30, \mathrm{CZ} on output 1, check 32, \mathrm{CZ} on output 1, check 33, \mathrm{CZ} on output 1, check 37, \mathrm{CZ} on output 1, check 38, \mathrm{CZ} on output 2, output 4, \mathrm{CZ} on output 2, output 5, \mathrm{CZ} on output 2, output 6, \mathrm{CZ} on output 2, output 7, \mathrm{CZ} on output 2, output 9, \mathrm{CZ} on output 2, output 12, \mathrm{CZ} on output 2, output 14, \mathrm{CZ} on output 2, output 18, \mathrm{CZ} on output 2, output 20, \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 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 29, \mathrm{CZ} on output 2, check 30, \mathrm{CZ} on output 2, check 32, \mathrm{CZ} on output 2, check 33, \mathrm{CZ} on output 2, check 37, \mathrm{CZ} on output 2, check 38, \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 9, \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 33, \mathrm{CZ} on output 4, check 34, \mathrm{CZ} on output 4, check 38, \mathrm{CZ} on output 5, output 6, \mathrm{CZ} on output 5, output 7, \mathrm{CZ} on output 5, output 9, \mathrm{CZ} on output 5, output 12, \mathrm{CZ} on output 5, output 14, \mathrm{CZ} on output 5, output 18, \mathrm{CZ} on output 5, output 20, \mathrm{CZ} on output 5, output 21, \mathrm{CZ} on output 5, output 22, \mathrm{CZ} on output 5, output 23, \mathrm{CZ} on output 5, output 25, \mathrm{CZ} on output 5, output 26, \mathrm{CZ} on output 5, output 27, \mathrm{CZ} on output 5, output 28, \mathrm{CZ} on output 5, check 29, \mathrm{CZ} on output 5, check 30, \mathrm{CZ} on output 5, check 32, \mathrm{CZ} on output 5, check 33, \mathrm{CZ} on output 5, check 37, \mathrm{CZ} on output 5, check 38, \mathrm{CZ} on output 6, output 7, \mathrm{CZ} on output 6, output 9, \mathrm{CZ} on output 6, output 12, \mathrm{CZ} on output 6, output 14, \mathrm{CZ} on output 6, output 18, \mathrm{CZ} on output 6, output 20, \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 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 29, \mathrm{CZ} on output 6, check 30, \mathrm{CZ} on output 6, check 32, \mathrm{CZ} on output 6, check 33, \mathrm{CZ} on output 6, check 37, \mathrm{CZ} on output 6, check 38, \mathrm{CZ} on output 7, output 9, \mathrm{CZ} on output 7, output 12, \mathrm{CZ} on output 7, output 14, \mathrm{CZ} on output 7, output 18, \mathrm{CZ} on output 7, output 20, \mathrm{CZ} on output 7, output 21, \mathrm{CZ} on output 7, output 22, \mathrm{CZ} on output 7, output 23, \mathrm{CZ} on output 7, output 25, \mathrm{CZ} on output 7, output 26, \mathrm{CZ} on output 7, output 27, \mathrm{CZ} on output 7, output 28, \mathrm{CZ} on output 7, check 29, \mathrm{CZ} on output 7, check 30, \mathrm{CZ} on output 7, check 32, \mathrm{CZ} on output 7, check 33, \mathrm{CZ} on output 7, check 37, \mathrm{CZ} on output 7, check 38, \mathrm{CZ} on output 9, output 12, \mathrm{CZ} on output 9, output 14, \mathrm{CZ} on output 9, output 18, \mathrm{CZ} on output 9, output 20, \mathrm{CZ} on output 9, output 21, \mathrm{CZ} on output 9, output 22, \mathrm{CZ} on output 9, output 23, \mathrm{CZ} on output 9, output 25, \mathrm{CZ} on output 9, output 26, \mathrm{CZ} on output 9, output 27, \mathrm{CZ} on output 9, output 28, \mathrm{CZ} on output 9, check 29, \mathrm{CZ} on output 9, check 30, \mathrm{CZ} on output 9, check 32, \mathrm{CZ} on output 9, check 33, \mathrm{CZ} on output 9, check 37, \mathrm{CZ} on output 9, check 38, \mathrm{CZ} on output 12, output 14, \mathrm{CZ} on output 12, output 18, \mathrm{CZ} on output 12, output 20, \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 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 29, \mathrm{CZ} on output 12, check 30, \mathrm{CZ} on output 12, check 32, \mathrm{CZ} on output 12, check 33, \mathrm{CZ} on output 12, check 37, \mathrm{CZ} on output 12, check 38, \mathrm{CZ} on output 14, output 18, \mathrm{CZ} on output 14, output 20, \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 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 29, \mathrm{CZ} on output 14, check 30, \mathrm{CZ} on output 14, check 32, \mathrm{CZ} on output 14, check 33, \mathrm{CZ} on output 14, check 37, \mathrm{CZ} on output 14, check 38, \mathrm{CZ} on output 18, output 20, \mathrm{CZ} on output 18, output 21, \mathrm{CZ} on output 18, output 22, \mathrm{CZ} on output 18, output 23, \mathrm{CZ} on output 18, output 25, \mathrm{CZ} on output 18, output 26, \mathrm{CZ} on output 18, output 27, \mathrm{CZ} on output 18, output 28, \mathrm{CZ} on output 18, check 29, \mathrm{CZ} on output 18, check 30, \mathrm{CZ} on output 18, check 32, \mathrm{CZ} on output 18, check 33, \mathrm{CZ} on output 18, check 37, \mathrm{CZ} on output 18, check 38, \mathrm{CZ} on output 20, output 21, \mathrm{CZ} on output 20, output 22, \mathrm{CZ} on output 20, output 23, \mathrm{CZ} on output 20, output 25, \mathrm{CZ} on output 20, output 26, \mathrm{CZ} on output 20, output 27, \mathrm{CZ} on output 20, output 28, \mathrm{CZ} on output 20, check 29, \mathrm{CZ} on output 20, check 30, \mathrm{CZ} on output 20, check 32, \mathrm{CZ} on output 20, check 33, \mathrm{CZ} on output 20, check 37, \mathrm{CZ} on output 20, check 38, \mathrm{CZ} on output 21, output 22, \mathrm{CZ} on output 21, output 23, \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 29, \mathrm{CZ} on output 21, check 30, \mathrm{CZ} on output 21, check 32, \mathrm{CZ} on output 21, check 33, \mathrm{CZ} on output 21, check 37, \mathrm{CZ} on output 21, check 38, \mathrm{CZ} on output 22, output 23, \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 29, \mathrm{CZ} on output 22, check 30, \mathrm{CZ} on output 22, check 32, \mathrm{CZ} on output 22, check 33, \mathrm{CZ} on output 22, check 37, \mathrm{CZ} on output 22, check 38, \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 29, \mathrm{CZ} on output 23, check 30, \mathrm{CZ} on output 23, check 32, \mathrm{CZ} on output 23, check 33, \mathrm{CZ} on output 23, check 37, \mathrm{CZ} on output 23, check 38, \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 29, \mathrm{CZ} on output 25, check 30, \mathrm{CZ} on output 25, check 32, \mathrm{CZ} on output 25, check 33, \mathrm{CZ} on output 25, check 37, \mathrm{CZ} on output 25, check 38, \mathrm{CZ} on output 26, output 27, \mathrm{CZ} on output 26, output 28, \mathrm{CZ} on output 26, check 29, \mathrm{CZ} on output 26, check 30, \mathrm{CZ} on output 26, check 32, \mathrm{CZ} on output 26, check 33, \mathrm{CZ} on output 26, check 37, \mathrm{CZ} on output 26, check 38, \mathrm{CZ} on output 27, output 28, \mathrm{CZ} on output 27, check 29, \mathrm{CZ} on output 27, check 30, \mathrm{CZ} on output 27, check 32, \mathrm{CZ} on output 27, check 33, \mathrm{CZ} on output 27, check 37, \mathrm{CZ} on output 27, check 38, \mathrm{CZ} on output 28, check 29, \mathrm{CZ} on output 28, check 30, \mathrm{CZ} on output 28, check 32, \mathrm{CZ} on output 28, check 33, \mathrm{CZ} on output 28, check 37, \mathrm{CZ} on output 28, check 38, \mathrm{CZ} on check 29, check 30, \mathrm{CZ} on check 29, check 32, \mathrm{CZ} on check 29, check 33, \mathrm{CZ} on check 29, check 37, \mathrm{CZ} on check 29, check 38, \mathrm{CZ} on check 30, check 32, \mathrm{CZ} on check 30, check 33, \mathrm{CZ} on check 30, check 37, \mathrm{CZ} on check 30, check 38, \mathrm{CZ} on check 32, check 33, \mathrm{CZ} on check 32, check 34, \mathrm{CZ} on check 32, check 38, \mathrm{CZ} on check 33, check 37, \mathrm{CZ} on check 33, check 38, \mathrm{CZ} on check 34, check 37, \mathrm{CZ} on check 37, check 38

0, 5, 10, 12, 17, 19, 35, 36, 38, 40, 44, 46, 47, 50, 51, 54, 56, 57, 58, 63, 65, 72, 73, 74, 75, 83, 85, 86, 87, 91, 93, 94, 95, 96, 97, 98, 99, 104, 106, 107, 108, 111, 112, 114, 118, 121, 122, 123, 124, 125, 126, 127, 128, 131, 132, 133, 136, 137, 138, 139, 140, 143, 144, 146, 147, 148, 150, 153, 157, 158

[
 {
  "regime": "AI search (gamma frontier): contraction of an existing code",
  "file": "gamma_frontier_release/protocols/paired_column_contraction_159_29_3_82d6fd18ce4e.json",
  "label": "paired_column_contraction_159_29_3_82d6fd18ce4e",
  "N": 39,
  "d": 3,
  "d_is_exact": true,
  "origin": "Existing triorthogonal code with physical paired-column contraction",
  "provenance": "gamma frontier release record paired_column_contraction_159_29_3_82d6fd18ce4e (source catalogue id paired_column_contraction_159_29_3_82d6fd18ce4e); construction: Existing triorthogonal code with physical paired-column contraction; matrix 82d6fd18ce4ed2a9...; the release states d=3 (exact), gamma=1.5488706887638068 (exact)",
  "notes": "matrix gamma_frontier_release/matrices/82d6fd18ce4ed2a992f7bb93a2a4ea7d281a4bb0bcb50e3b7506f23c4945d781.matrix"
 }
]