# Stored data for newform 177.6.a.c, 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": 526434547635546280, "level_radical": 177, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 3, "analytic_conductor": 28.387936106897573, "inner_twist_count": 1, "field_disc_factorization": [[2, 4], [5, 1], [1789, 1], [138059, 1], [45889218900836691931159143404353172352065407, 1]], "is_rm": false, "char_order": 1, "level_is_square": false, "weight_parity": 1, "label": "177.6.a.c", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "177.6.a.c", "field_poly_is_cyclotomic": false, "dim": 12, "trace_zratio": 0, "traces": [0, 12, 22, 108, 198, 158, 198, 413, 723, 972, 601, 1480, 1782, 472, 1065, 1422, 6370, 1565, 1782, 3939, 8033, 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