[\![502,\,92,\,3]\!] factory

\mathrm{Z} on output 0, \mathrm{S} on output 1, \mathrm{S} on output 2, \mathrm{S} on output 3, \mathrm{S} on output 4, \mathrm{S} on output 5, \mathrm{S} on output 6, \mathrm{S} on output 7, \mathrm{S} on output 8, \mathrm{S} on output 9, \mathrm{S} on output 10, \mathrm{S} on output 11, \mathrm{S} on output 12, \mathrm{S} on output 13, \mathrm{S} on output 14, \mathrm{S} on output 15, \mathrm{Z} on output 17, \mathrm{S} on output 18, \mathrm{S}^\dagger 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{S} on output 25, \mathrm{S} on output 26, \mathrm{S} on output 27, \mathrm{S} on output 28, \mathrm{S} on output 29, \mathrm{S} on output 30, \mathrm{S} on output 31, \mathrm{S} on output 32, \mathrm{S} on output 33, \mathrm{S} 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 output 40, \mathrm{S} on output 41, \mathrm{S}^\dagger on output 42, \mathrm{S}^\dagger on output 43, \mathrm{Z} on output 44, \mathrm{Z} on output 45, \mathrm{Z} on output 46, \mathrm{S} on output 47, \mathrm{S} on output 48, \mathrm{S} on output 49, \mathrm{S} on output 50, \mathrm{S} on output 51, \mathrm{S} on output 52, \mathrm{S} on output 53, \mathrm{S} on output 54, \mathrm{S} on output 55, \mathrm{S} on output 56, \mathrm{S} on output 57, \mathrm{S} on output 58, \mathrm{S} on output 59, \mathrm{S} on output 60, \mathrm{S} on output 61, \mathrm{Z} on output 62, \mathrm{Z} on output 63, \mathrm{S} on output 64, \mathrm{S}^\dagger on output 65, \mathrm{S}^\dagger on output 66, \mathrm{Z} on output 67, \mathrm{Z} on output 68, \mathrm{S} on output 69, \mathrm{S} on output 70, \mathrm{S} on output 71, \mathrm{S} on output 72, \mathrm{S} on output 73, \mathrm{S} on output 74, \mathrm{S} on output 75, \mathrm{S} on output 76, \mathrm{S} on output 77, \mathrm{S} on output 78, \mathrm{S} on output 79, \mathrm{S} on output 80, \mathrm{S} on output 81, \mathrm{S} on output 82, \mathrm{S} on output 83, \mathrm{S} on output 84, \mathrm{S} on output 85, \mathrm{Z} on output 86, \mathrm{S} on output 87, \mathrm{S}^\dagger on output 88, \mathrm{S}^\dagger on output 89, \mathrm{Z} on output 90, \mathrm{Z} on output 91, \mathrm{S} on check 92, \mathrm{S} on check 99, \mathrm{S} on check 105, \mathrm{CZ} on output 0, output 16, \mathrm{CZ} on output 0, output 20, \mathrm{CZ} on output 0, output 39, \mathrm{CZ} on output 0, output 41, \mathrm{CZ} on output 0, output 43, \mathrm{CZ} on output 0, output 45, \mathrm{CZ} on output 0, check 92, \mathrm{CZ} on output 16, output 19, \mathrm{CZ} on output 16, output 21, \mathrm{CZ} on output 16, output 39, \mathrm{CZ} on output 16, output 41, \mathrm{CZ} on output 16, output 43, \mathrm{CZ} on output 16, output 45, \mathrm{CZ} on output 16, check 93, \mathrm{CZ} on output 16, check 94, \mathrm{CZ} on output 16, check 96, \mathrm{CZ} on output 16, check 97, \mathrm{CZ} on output 17, output 19, \mathrm{CZ} on output 17, output 21, \mathrm{CZ} on output 17, check 95, \mathrm{CZ} on output 17, check 97, \mathrm{CZ} on output 17, check 98, \mathrm{CZ} on output 18, output 22, \mathrm{CZ} on output 18, check 92, \mathrm{CZ} on output 18, check 93, \mathrm{CZ} on output 18, check 94, \mathrm{CZ} on output 19, output 20, \mathrm{CZ} on output 19, output 22, \mathrm{CZ} on output 19, check 95, \mathrm{CZ} on output 19, check 96, \mathrm{CZ} on output 20, output 21, \mathrm{CZ} on output 20, output 22, \mathrm{CZ} on output 20, output 39, \mathrm{CZ} on output 20, output 41, \mathrm{CZ} on output 20, output 43, \mathrm{CZ} on output 20, output 45, \mathrm{CZ} on output 20, check 95, \mathrm{CZ} on output 20, check 96, \mathrm{CZ} on output 20, check 97, \mathrm{CZ} on output 21, output 22, \mathrm{CZ} on output 21, check 95, \mathrm{CZ} on output 21, check 96, \mathrm{CZ} on output 21, check 98, \mathrm{CZ} on output 22, check 92, \mathrm{CZ} on output 22, check 97, \mathrm{CZ} on output 23, output 41, \mathrm{CZ} on output 23, output 43, \mathrm{CZ} on output 23, output 45, \mathrm{CZ} on output 23, output 62, \mathrm{CZ} on output 23, output 64, \mathrm{CZ} on output 23, output 66, \mathrm{CZ} on output 23, output 68, \mathrm{CZ} on output 23, check 99, \mathrm{CZ} on output 39, output 41, \mathrm{CZ} on output 39, output 42, \mathrm{CZ} on output 39, output 43, \mathrm{CZ} on output 39, output 44, \mathrm{CZ} on output 39, output 45, \mathrm{CZ} on output 39, output 62, \mathrm{CZ} on output 39, output 64, \mathrm{CZ} on output 39, output 66, \mathrm{CZ} on output 39, output 68, \mathrm{CZ} on output 39, check 92, \mathrm{CZ} on output 39, check 100, \mathrm{CZ} on output 39, check 102, \mathrm{CZ} on output 39, check 103, \mathrm{CZ} on output 40, output 42, \mathrm{CZ} on output 40, output 44, \mathrm{CZ} on output 40, check 101, \mathrm{CZ} on output 40, check 103, \mathrm{CZ} on output 40, check 104, \mathrm{CZ} on output 41, output 43, \mathrm{CZ} on output 41, output 45, \mathrm{CZ} on output 41, check 92, \mathrm{CZ} on output 41, check 99, \mathrm{CZ} on output 41, check 100, \mathrm{CZ} on output 42, output 43, \mathrm{CZ} on output 42, output 45, \mathrm{CZ} on output 42, check 101, \mathrm{CZ} on output 42, check 102, \mathrm{CZ} on output 43, output 44, \mathrm{CZ} on output 43, check 92, \mathrm{CZ} on output 43, check 101, \mathrm{CZ} on output 43, check 102, \mathrm{CZ} on output 43, check 103, \mathrm{CZ} on output 44, output 45, \mathrm{CZ} on output 44, check 101, \mathrm{CZ} on output 44, check 102, \mathrm{CZ} on output 44, check 104, \mathrm{CZ} on output 45, check 92, \mathrm{CZ} on output 45, check 103, \mathrm{CZ} on output 46, output 64, \mathrm{CZ} on output 46, output 66, \mathrm{CZ} on output 46, output 68, \mathrm{CZ} on output 46, output 85, \mathrm{CZ} on output 46, output 87, \mathrm{CZ} on output 46, output 89, \mathrm{CZ} on output 46, output 91, \mathrm{CZ} on output 46, check 105, \mathrm{CZ} on output 62, output 64, \mathrm{CZ} on output 62, output 65, \mathrm{CZ} on output 62, output 66, \mathrm{CZ} on output 62, output 67, \mathrm{CZ} on output 62, output 68, \mathrm{CZ} on output 62, output 85, \mathrm{CZ} on output 62, output 87, \mathrm{CZ} on output 62, output 89, \mathrm{CZ} on output 62, output 91, \mathrm{CZ} on output 62, check 99, \mathrm{CZ} on output 62, check 106, \mathrm{CZ} on output 62, check 108, \mathrm{CZ} on output 62, check 109, \mathrm{CZ} on output 63, output 65, \mathrm{CZ} on output 63, output 67, \mathrm{CZ} on output 63, check 107, \mathrm{CZ} on output 63, check 109, \mathrm{CZ} on output 63, check 110, \mathrm{CZ} on output 64, output 66, \mathrm{CZ} on output 64, output 68, \mathrm{CZ} on output 64, check 99, \mathrm{CZ} on output 64, check 105, \mathrm{CZ} on output 64, check 106, \mathrm{CZ} on output 65, output 66, \mathrm{CZ} on output 65, output 68, \mathrm{CZ} on output 65, check 107, \mathrm{CZ} on output 65, check 108, \mathrm{CZ} on output 66, output 67, \mathrm{CZ} on output 66, check 99, \mathrm{CZ} on output 66, check 107, \mathrm{CZ} on output 66, check 108, \mathrm{CZ} on output 66, check 109, \mathrm{CZ} on output 67, output 68, \mathrm{CZ} on output 67, check 107, \mathrm{CZ} on output 67, check 108, \mathrm{CZ} on output 67, check 110, \mathrm{CZ} on output 68, check 99, \mathrm{CZ} on output 68, check 109, \mathrm{CZ} on output 69, output 85, \mathrm{CZ} on output 69, output 87, \mathrm{CZ} on output 69, output 89, \mathrm{CZ} on output 69, output 91, \mathrm{CZ} on output 85, output 87, \mathrm{CZ} on output 85, output 88, \mathrm{CZ} on output 85, output 89, \mathrm{CZ} on output 85, output 90, \mathrm{CZ} on output 85, output 91, \mathrm{CZ} on output 85, check 105, \mathrm{CZ} on output 85, check 111, \mathrm{CZ} on output 85, check 112, \mathrm{CZ} on output 85, check 114, \mathrm{CZ} on output 85, check 115, \mathrm{CZ} on output 86, output 88, \mathrm{CZ} on output 86, output 90, \mathrm{CZ} on output 86, check 113, \mathrm{CZ} on output 86, check 115, \mathrm{CZ} on output 86, check 116, \mathrm{CZ} on output 87, output 89, \mathrm{CZ} on output 87, output 91, \mathrm{CZ} on output 87, check 105, \mathrm{CZ} on output 87, check 111, \mathrm{CZ} on output 87, check 112, \mathrm{CZ} on output 88, output 89, \mathrm{CZ} on output 88, output 91, \mathrm{CZ} on output 88, check 113, \mathrm{CZ} on output 88, check 114, \mathrm{CZ} on output 89, output 90, \mathrm{CZ} on output 89, check 105, \mathrm{CZ} on output 89, check 113, \mathrm{CZ} on output 89, check 114, \mathrm{CZ} on output 89, check 115, \mathrm{CZ} on output 90, output 91, \mathrm{CZ} on output 90, check 113, \mathrm{CZ} on output 90, check 114, \mathrm{CZ} on output 90, check 116, \mathrm{CZ} on output 91, check 105, \mathrm{CZ} on output 91, check 115

[
 {
  "regime": "AI search: graph gluing",
  "file": "master_catalog/imports/2026-09-18_graph_gluing_d3/factories.json",
  "label": "graph gluing [[502,92,3]]",
  "N": 117,
  "d": 3,
  "d_is_exact": true,
  "origin": null,
  "provenance": "AI search: graph gluing -- four [[127,23,3]] glued along a path of four factories by 3 paired-column contraction(s) (independent ports); construction and witness in master_catalog/imports/2026-09-18_graph_gluing_d3/witnesses/graph_path_n502_k92_d3.json",
  "notes": "Exact A3=10292 independently counted; details in master_catalog/imports/2026-09-18_graph_gluing_d3/README.md. General gluing has prior art; publication novelty is not asserted."
 }
]