{"id":"95.12.3.a","row":640,"stored":{"file":"master_catalog.json","row":640,"construction":null,"columns_sha256":null},"parameters":{"n":95,"k":12,"d":3,"N":19,"r":7,"level":3},"gate":{"string":"0+1+2+3+4+5+6+7+8+9,10,11","human":"T0\u00b7T1\u00b7T2\u00b7T3\u00b7T4\u00b7T5\u00b7T6\u00b7T7\u00b7T8\u00b7CCZ9,10,11","monomials":[[0],[1],[2],[3],[4],[5],[6],[7],[8],[9,10,11]],"sk_key":[[0],[1],[2],[3],[4],[5],[6],[7],[8],[9,10,11]],"sk_fingerprint":"fc517fb929f0684f","sk_canonical_frame":true,"relabelled_into_canonical_frame":false},"circuit":{"columns":[[0,9,10,11,12],[0,9,10,11,12,13],[0,11,12,13,14],[0,11,12,14],[0,13],[0,9,10,13,14],[0,9,10,14],[1,9,10,11,15],[1,9,11,15,16],[1,10,11,15,16,17],[1,11,15,17],[1,10,16],[1,9,16,17],[1,9,10,17],[2,12,13,14,15,16,17],[2,11,12,13,15,16],[2,9,12,14,15,17],[2,9,11,12,15],[2,9,11,13,14,16,17],[2,9,13,16],[2,11,14,17],[3,9,10,11,12,13,14,16,17],[3,12,13,17],[3,9,10,12,14,15,16,17],[3,11,12,15,17],[3,9,10,13,14,15,16],[3,11,13,15],[3,9,10,11,14,16],[4,9,11,12,13,14,17],[4,10,11,12,13,15],[4,11,12,14,15,16],[4,9,10,11,12,16,17],[4,10,13,14,16],[4,9,13,15,16,17],[4,9,10,14,15,17],[5,9,12,13,14,15,16],[5,9,10,12,13,16],[5,10,12,14,16,17],[5,12,15,16,17],[5,9,13,14,17],[5,9,10,13,15,17],[5,10,14,15],[6,12,13,14,15,17],[6,9,11,12,13,16,17],[6,11,12,14,15],[6,9,12,16],[6,9,13,14,15,16,17],[6,11,13,17],[6,9,11,14,15,16],[7,10,11,12,13,14,16],[7,9,12,13,15,17],[7,9,11,12,14,17],[7,10,12,15,16],[7,11,13,14,15],[7,9,10,13,16,17],[7,9,10,11,14,15,16,17],[8,9,10,12,13,14,15],[8,12,13,15,16,17],[8,9,10,12,14,16],[8,12,17],[8,9,10,13,14,15,17],[8,13,15,16],[8,9,10,14,16,17],[12,13,14,15,16,17,18],[9,10,11,12,13,14,15,16,18],[10,12,13,14,15,17,18],[9,10,12,13,14,15,18],[9,10,12,13,14,16,17,18],[10,11,12,13,14,16,18],[9,10,11,12,13,14,17,18],[10,11,12,13,14,18],[9,11,12,13,15,16,17,18],[10,11,12,13,15,16,18],[9,10,12,13,15,17,18],[11,12,13,15,18],[10,11,12,13,16,17,18],[9,10,12,13,16,18],[9,10,12,13,17,18],[12,13,18],[9,12,14,15,16,17,18],[11,12,14,15,16,18],[9,11,12,14,15,17,18],[12,14,15,18],[12,14,16,17,18],[10,12,14,16,18],[12,14,17,18],[12,14,18],[12,15,16,17,18],[9,10,12,15,16,18],[9,12,15,17,18],[12,15,18],[12,16,17,18],[12,16,18],[12,17,18],[12,18]]},"distance":{"d":3,"is_exact":true,"upper":3,"witness":[0,1,4],"A_d":1147,"certified":null},"clifford":{"kind":"powers","correction":{"S":[[0,1],[1,1],[2,1],[3,1],[4,1],[5,1],[6,1],[7,1],[8,1],[10,3],[11,1]],"CZ":[[9,11],[9,13],[9,14],[9,16],[10,12],[10,15],[10,17],[10,18],[11,12],[11,16],[11,18]]},"rotation_powers":[[0,3],[1,7],[4,3],[7,7],[8,7],[9,5],[11,3],[14,5],[15,7],[16,7],[18,3],[21,5],[25,3],[26,3],[27,3],[28,7],[31,3],[32,3],[35,7],[37,3],[40,3],[42,7],[43,3],[44,3],[45,3],[46,3],[47,3],[48,3],[49,7],[50,3],[55,3],[56,5],[58,3],[59,3],[62,3],[63,3],[67,3],[68,3],[69,3],[71,3],[72,3],[73,3],[76,3],[77,3],[78,3],[80,3],[83,3],[84,3],[86,3],[88,3],[89,3],[90,3],[91,3],[92,3],[93,3]]},"metrics":{"gamma":1.8832578728213873,"gamma_t":null,"gamma_rho":1.9624590413201646,"gamma_claim":1.8832578728213873,"gamma_t_claim":null,"gamma_rho_claim":1.9624590413201646,"v_ex":11,"rate":0.12631578947368421,"t_count":null,"poly_degree":null,"effective_width":12},"provenance":{"regimes":["AI search: multi-agent campaign 39<=n<=127"],"discovery":"AI search","strongest_claim":"found by the 39 <= n <= 127 multi-actor AI campaign (three Opus 5 actors, two conferring Fable 5 reviewers, three rounds, 2026-09-01); a verified witness, not a maximum","sources":[{"regime":"AI search: multi-agent campaign 39<=n<=127","file":"magic-states-AI/campaigns/2026-09-01_39to127_broad/found/n95_k12_d3_T9CCZ1.json","label":"89","N":19,"d":3,"d_is_exact":true,"origin":null,"provenance":"master_catalogue [[95,9,3]] + campaigns/2026-08-31_48to128/tools/census.py --grow (addrows.py, unseeded); actor-3 round 1; new_point=True, gate_new_at_n=True"}]},"references":[{"key":"jain2026symmetry","short":"Jain et al. (2026)","full":"S. P. Jain, A. Wills, and S. Singh, \"Symmetry and AI-assisted discovery of magic-state factories,\" arXiv:2610.06535 (2026).","url":"https://arxiv.org/abs/2610.06535","date":"2026-10-05"}]}