# Stored data for newform 177.6.a.b, downloaded from the LMFDB on 05 March 2021. {"level_primes": [3, 59], "is_polredabs": true, "sato_tate_group": "5.2.3.c1", "rm_discs": [], "conrey_indexes": [1], "cm_discs": [], "trace_hash": 286730314219003060, "level_radical": 177, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 2, "analytic_conductor": 28.387936106897573, "inner_twist_count": 1, "field_disc_factorization": [[2, 4], [5, 2], [29, 1], [37, 1], [206420771, 1], [2525504907133446173837342050144276279, 1]], "is_rm": false, "char_order": 1, "level_is_square": false, "weight_parity": 1, "label": "177.6.a.b", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "177.6.a.b", "field_poly_is_cyclotomic": false, "dim": 12, "trace_zratio": 0, "traces": [0, 12, -4, -108, 198, 36, 36, -411, -69, 972, -863, 492, -1782, -974, -967, -324, 6370, -1463, -324, -3189, 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