# Stored data for newform 177.4.a.d, downloaded from the LMFDB on 01 March 2021. {"level_primes": [3, 59], "is_polredabs": true, "sato_tate_group": "3.2.3.c1", "rm_discs": [], "conrey_indexes": [1], "cm_discs": [], "trace_hash": 215200084247326221, "level_radical": 177, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 4, "analytic_conductor": 10.443338071016088, "inner_twist_count": 1, "field_disc_factorization": [[2, 2], [56116681, 1], [5630557272079, 1]], "is_rm": false, "char_order": 1, "level_is_square": false, "weight_parity": 1, "label": "177.4.a.d", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "177.4.a.d", "field_poly_is_cyclotomic": false, "dim": 8, "trace_zratio": 0, "traces": [0, 8, 6, 24, 34, 42, 18, 53, 51, 72, 21, 67, 102, 33, 79, 126, -30, 139, 54, 64, 117, 159, -84, 226, 153, 96, 24, 216, 34, 456, 63, 124, 174, 201, -114, 556, 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