# Stored data for newform 60.3.g.a, downloaded from the LMFDB on 07 May 2024. {"label": "60.3.g.a", "space_label": "60.3.g", "level": 60, "weight": 3, "hecke_orbit": 1, "hecke_orbit_code": 412367192124, "dim": 2, "is_polredabs": true, "nf_label": "2.0.20.1", "trace_hash": 39264146509825521, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "qexp_display": "q+(2+\\beta )q^{3}+\\beta q^{5}+2q^{7}+(-1+4\\beta )q^{9}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 3, "char_orbit_label": "g", "char_is_real": true, "Nk2": 540, "analytic_conductor": 1.6348815861617814, "hecke_ring_index": 1, "level_radical": 30, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.508", "prec": 17}, "analytic_rank_proved": true, "char_values": [60, 2, [31, 41, 37], [2, 1, 2]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [2, 3, 5], "conrey_indexes": [41], "field_disc": -20, "field_disc_factorization": [[-1, 1], [2, 2], [5, 1]], "field_poly": [5, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.949", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "15.355", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "153.755", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "2.2.3.c2", "trace_display": [0, 4, 0, 4], "traces": [0, 2, 0, 4, 0, 0, 0, 4, 0, -2, 0, 0, 0, 16, 0, -10, 0, 0, 0, -68, 0, 8, 0, 0, 0, -10, 0, -44, 0, 0, 0, 28, 0, 60, 0, 0, 0, 112, 0, 32, 0, 0, 0, 16, 0, -40, 0, 0, 0, -90, 0, 60, 0, 0, 0, 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