# Stored data for newform 405.4.a.m, downloaded from the LMFDB on 18 May 2022. {"level_primes": [3, 5], "is_polredabs": true, "sato_tate_group": "3.2.3.c1", "rm_discs": [], "conrey_indexes": [1], "cm_discs": [], "trace_hash": 115064121946566206, "level_radical": 15, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 13, "analytic_conductor": 23.89577355232495, "inner_twist_count": 1, "field_disc_factorization": [[2, 4], [3, 3], [9851, 1], [546932377, 1]], "is_rm": false, "char_order": 1, "level_is_square": false, "weight_parity": 1, "label": "405.4.a.m", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": false, "minimal_twist": "45.4.e.c", "field_poly_is_cyclotomic": false, "dim": 7, "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "traces": [0, 7, -2, 0, 36, -35, 0, 22, -18, 0, 10, -23, 0, 96, 21, 0, 324, -161, 0, 279, -180, 0, 311, -96, 0, 175, 358, 0, 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