[\![252,\,46,\,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{S} 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{S} 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{S} on check 46, \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 46, \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 47, \mathrm{CZ} on output 16, check 48, \mathrm{CZ} on output 16, check 50, \mathrm{CZ} on output 16, check 51, \mathrm{CZ} on output 17, output 19, \mathrm{CZ} on output 17, output 21, \mathrm{CZ} on output 17, check 49, \mathrm{CZ} on output 17, check 51, \mathrm{CZ} on output 17, check 52, \mathrm{CZ} on output 18, output 22, \mathrm{CZ} on output 18, check 46, \mathrm{CZ} on output 18, check 47, \mathrm{CZ} on output 18, check 48, \mathrm{CZ} on output 19, output 20, \mathrm{CZ} on output 19, output 22, \mathrm{CZ} on output 19, check 49, \mathrm{CZ} on output 19, check 50, \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 49, \mathrm{CZ} on output 20, check 50, \mathrm{CZ} on output 20, check 51, \mathrm{CZ} on output 21, output 22, \mathrm{CZ} on output 21, check 49, \mathrm{CZ} on output 21, check 50, \mathrm{CZ} on output 21, check 52, \mathrm{CZ} on output 22, check 46, \mathrm{CZ} on output 22, check 51, \mathrm{CZ} on output 23, output 39, \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 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, check 46, \mathrm{CZ} on output 39, check 53, \mathrm{CZ} on output 39, check 54, \mathrm{CZ} on output 39, check 56, \mathrm{CZ} on output 39, check 57, \mathrm{CZ} on output 40, output 42, \mathrm{CZ} on output 40, output 44, \mathrm{CZ} on output 40, check 55, \mathrm{CZ} on output 40, check 57, \mathrm{CZ} on output 40, check 58, \mathrm{CZ} on output 41, output 43, \mathrm{CZ} on output 41, output 45, \mathrm{CZ} on output 41, check 46, \mathrm{CZ} on output 41, check 53, \mathrm{CZ} on output 41, check 54, \mathrm{CZ} on output 42, output 43, \mathrm{CZ} on output 42, output 45, \mathrm{CZ} on output 42, check 55, \mathrm{CZ} on output 42, check 56, \mathrm{CZ} on output 43, output 44, \mathrm{CZ} on output 43, check 46, \mathrm{CZ} on output 43, check 55, \mathrm{CZ} on output 43, check 56, \mathrm{CZ} on output 43, check 57, \mathrm{CZ} on output 44, output 45, \mathrm{CZ} on output 44, check 55, \mathrm{CZ} on output 44, check 56, \mathrm{CZ} on output 44, check 58, \mathrm{CZ} on output 45, check 46, \mathrm{CZ} on output 45, check 57

[
 {
  "regime": "AI search: graph gluing",
  "file": "master_catalog/imports/2026-09-18_graph_gluing_d3/factories.json",
  "label": "graph gluing [[252,46,3]]",
  "N": 59,
  "d": 3,
  "d_is_exact": true,
  "origin": null,
  "provenance": "AI search: graph gluing -- two [[127,23,3]] glued along K2 by 1 paired-column contraction(s) (independent ports); construction and witness in master_catalog/imports/2026-09-18_graph_gluing_d3/witnesses/graph_path_n252_k46_d3.json",
  "notes": "Exact A3=5208 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."
 }
]