# Stored data for newform 729.2.a.c, downloaded from the LMFDB on 28 March 2023. {"level_primes": [3], "is_polredabs": true, "sato_tate_group": "1.2.3.c1", "rm_discs": [], "conrey_indexes": [1], "cm_discs": [], "trace_hash": 132463169488348328, "level_radical": 3, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 3, "analytic_conductor": 5.82109430735134, "inner_twist_count": 2, "field_disc_factorization": [[2, 6], [3, 9]], "is_rm": false, "char_order": 1, "level_is_square": true, "weight_parity": 1, "label": "729.2.a.c", "field_poly_is_real_cyclotomic": true, "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "729.2.a.c", "field_poly_is_cyclotomic": false, "dim": 6, "trace_zratio": {"__RealLiteral__": 0, "data": "0.509", "prec": 17}, "traces": [0, 6, 0, 0, 0, 0, 0, -12, 0, 0, -12, 0, 0, -12, 0, 0, -12, 0, 0, -24, 0, 0, -6, 0, 0, 0, 0, 0, -6, 0, 0, -30, 0, 0, 0, 0, 0, -6, 0, 0, -6, 0, 0, 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