# Stored data for newform 507.4.a.a, downloaded from the LMFDB on 31 January 2023. {"level_primes": [3, 13], "is_polredabs": true, "sato_tate_group": "3.2.3.c1", "rm_discs": [], "conrey_indexes": [1], "cm_discs": [], "trace_hash": 966515775371739352, "level_radical": 39, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 1, "analytic_conductor": 29.913968372910492, "inner_twist_count": 1, "field_disc_factorization": [], "is_rm": false, "char_order": 1, "level_is_square": false, "weight_parity": 1, "label": "507.4.a.a", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": false, "minimal_twist": "39.4.e.a", "field_poly_is_cyclotomic": false, "dim": 1, "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "traces": [0, 1, -3, 3, 1, 9, -9, -2, 21, 9, -27, -30, 3, 0, 6, 27, -71, -111, -27, 46, 9, -6, 90, -6, 63, -44, 0, 27, -2, -105, -81, 100, 45, -90, 333, -18, 9, 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