# Stored data for newform 930.2.a.a, downloaded from the LMFDB on 05 March 2021. {"level_primes": [2, 3, 5, 31], "is_polredabs": true, "sato_tate_group": "1.2.3.c1", "rm_discs": [], "conrey_indexes": [1], "cm_discs": [], "trace_hash": 2003227337726558835, "level_radical": 930, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": ["EllipticCurve/Q/930/a"], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 1, "analytic_conductor": 7.426087387979075, "inner_twist_count": 1, "field_disc_factorization": [], "is_rm": false, "char_order": 1, "level_is_square": false, "weight_parity": 1, "label": "930.2.a.a", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "930.2.a.a", "field_poly_is_cyclotomic": false, "dim": 1, "trace_zratio": {"__RealLiteral__": 0, "data": "0.009", "prec": 17}, "traces": [0, 1, -1, -1, 1, -1, 1, -3, -1, 1, 1, 3, -1, -2, 3, 1, 1, -4, -1, -3, -1, 3, -3, 5, 1, 1, 2, -1, -3, 4, -1, 1, -1, -3, 4, 3, 1, 0, 3, 2, 1, 4, -3, 1, 3, -1, -5, 10, -1, 2, -1, 4, -2, 3, 1, -3, 3, 3, -4, 6, 1, -2, -1, -3, 1, 2, 3, 2, -4, -5, -3, 7, -1, 5, 0, -1, -3, -9, -2, -1, -1, 1, -4, 12, 3, 4, -1, -4, -3, 1, 1, 6, 5, -1, -10, 3, 1, -10, -2, 3, 1, -1, -4, 16, 2, -3, -3, 9, -1, 20, 3, 0, -3, 9, -3, -5, 4, -2, -6, 12, -1, -2, 2, -4, 1, -1, 3, 8, -1, -1, -2, 6, -3, 9, -2, 1, 4, -10, 5, -14, 3, -10, -7, -6, 1, -4, -5, -2, 0, -11, 1, 0, 3, -4, 9, -1, 2, -5, 1, -3, 1, -15, -1, 14, 4, 3, -12, -19, -3, -9, -4, -3, 1, -22, 4, -3, 3, -6, -1, 4, -1, 5, -6, 2, -5, 0, 1, -12, 10, 3, -3, 16, -1, -6, 10, -2, 2, -6, -3, 7, -1, -2, 1, -12, 4, -4, -16, 5, -2, -9, 3, -19, 3, -7, -9, -1, 1, -3, -20, -5, -3, 8, 0, -6, 3, 1, -9, -27, 3, 13, 5, 9, -4, 15, 2, -10, 6, 1, -12, 12, 1, -18, 2, -1, -2, -2, 4, 6, -1, -12, 1, -12, -3, 15, -8, -4, 1, -23, 1, 0, 2, 4, -6, 24, 3, -3, -9, -1, 2, 2, -1, 13, -4, -6, 10, 3, -5, 12, 14, 1, -3, 16, 10, -24, 7, -3, 6, -12, -1, -1, 4, 10, 5, 30, 2, -6, 0, -3, 11, -10, -1, -3, 0, 1, -3, 2, 4, 16, -9, -16, 1, 0, -2, 30, 5, 3, -1, -8, 3, 12, -1, -9, 15, 12, 1, -2, -14, -20, -4, -30, -3, 12, 12, 0, 19, -2, 3, -2, 9, -9, 4, 3, 3, 15, -1, 5, 22, -32, -4, -24, 3, 2, -3, 18, 6, -7, 1, -12, -4, 15, 1, -10, -5, 2, 6, -5, -2, 2, 5, 4, 0, -9, -1, -9, 12, 1, -10, -8, -3, 15, 3, -8, -16, 12, 1, 9, 6, 1, -10, -26, 2, -20, -2, -6, 6, 1, 3, 35, -7, -9, 1, 25, 2, -2, -1, -1, 12, 0, -4, 8, 4, 10, 16, -18, -5, -12, 2, 14, 9, 12, -3, -22, 19, 10, -3, -4, 7, 6, 9, 6, 1, 16, -1, -1, 3, 4, 20, -15, 5, 18, 3, 2, -8, 15, 0, -1, 6, 11, -3, 2, -1, 12, 9, 0, 27, -6, -3, 10, -13, 4, -5, 0, -9, 4, 4, 1, -15, 24, -2, -6, 10, 5, -6, 3, -1, -3, 12, 3, -12, 3, -1, 0, 18, 15, -2, 10, 1, 32, 2, -14, 2, -37, -4, -16, -6, -3, 1, -21, 12, 4, -1, 19, 12, 20, 3, 1, -15, 9, 8, 0, 4, -15, -1, 3, 23, -16, -1, 30, 0, 22, -2, -18, -4, -43, 6, 3, -24, -4, -3, 2, 3, 6, 9, -8, 1, -9, -2, -4, -2, 6, 1, 22, -13, -5, 4, -20, 6, 22, -10, -2, -3, -12, 5, 3, -12, 0, -14, -1, -1, -2, 3, 12, -16, -4, -10, -9, 24, -3, -7, -23, 3, 22, -6, -16, 12, 5, 1, 4, 1, 6, -4, -36, -10, 9, -5, 2, -30, 44, -2, -3, 6, 6, 0, 22, 3, -12, -11, -7, 10, -27, 1, 42, 3, 2, 0, 2, -1, 29, 3, 12, -2, -20, -4, -22, -16, 4, 9, -27, 16, -38, -1, -5, 0, -3, 2, 1, -30, 9, -5, 0, -3, 17, 1, 19, 8, -8, -3, -4, -12, 7, 1, 26, 9, 19, -15, 1, -12, 3, -1, 18, 2, 3, 14, -26, 20, -6, 4, 5, 30, -4, 3, -14, -12, -8, -12, -9, 0, 20, -19, 6, 2, -6, -3, 26, 2, -1, -9, 27, 9, 30, -4, 27, -3, -19, -3, 10, -15, -13, 1, -6, -5, -31, -22, -9, 32, 14, 4, -16, 24, -15, -3, -21, -2, 0, 3, 10, -18, 3, -6, -25, 7, -1, -1, 5, 12, 6, 4, -12, -15, 26, -1, -48, 10, 18, 5, 4, -2, 45, -6, 1, 5, -4, 2, -18, -2, 2, -5, 6, -4, -20, 0, -6, 9, -37, 1, 11, 9, 12, -12, -27, -1, -50, 10, 12, 8, 0, 3, 50, -15, -15, -3, 45, 8, -60, 16, 4, -12, -12, -1, 9, -9, 23, -6, -31, -1, 1, 10, 0, 26, -12, -2, 21, 20, -4, 2, 5, 6, -35, -6, -24, -1, -27, -3, 4, -35, 3, 7, 2, 9, -40, -1, 1, -25, 15, -2, 15, 2, -2, 1, 17, 1, -27, -12, -13, 0, -14, 4, -3, -8, 6, -4, 40, -10, -18, -16, -3, 18, 20, 5, -35, 12, -12, -2, -8, -14, 19, -9, -1, -12, 51, 3, -13, 22, -16, -19, 9, -10, 6, 3, 24, 4, 0, -7, -41, -6, 3, -9, 42, -6, 32, -1, 12, -16, 43, 1, 22, 1, 1, -3, -3, -4, -4, -20, -10, 15, 3, -5, 46, -18, -30, -3, 26, -2, 11, 8, 6, -15, -46, 0, -24, 1, 3, -6, -30, -11, -4, 3, 10, -2, 4, 1, -12, -12, 3, -9, -5, 0, -52, -27, -1, 6, 20, 3, 36, -10, -2, 13, -18, -4, -38, 5, -16, 0, -14, 9, 0, -4, 16, -4, -41, -1, -6, 15, 0, -24, 12, 2, -52, 6, -30, -10, 40, -5, 20, 6, -3, -3, 30, 1, -10, 3, 8, -12, -52, -3, -16, 12, -12, -3, 30, 1, 1, 0, 9, -18, 6, -15, 0, 2, -12, -10, -54, -1, 42, -32, 2, -2, 38, 14, 3, -2, 20, 37, -56, 4, 6, 16, 30, 6, 5, 3, -25, -1, -12, 21, -7, -12, -42, -4, 0, 1], "hecke_ring_index_factorization": [], "nf_label": "1.1.1.1", "field_poly": [0, 1], "atkin_lehner_string": "+++-", "has_non_self_twist": 0, "atkin_lehner_eigenvals": [[2, 1], [3, 1], [5, 1], [31, -1]], "char_values": [930, 1, [311, 187, 871], [1, 1, 1]], "Nk2": 3720, "field_poly_root_of_unity": 0, "analytic_rank": 0, "char_orbit_label": "a", "weight": 2, "trace_display": [-1, -1, -1, -3], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": true, "hecke_ring_index": 1, "level_is_prime": false, "char_is_minimal": true, "qexp_display": "q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-3q^{7}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": 1, "level_is_prime_power": false, "relative_dim": 1, "hecke_cutters": [[7, [3, 1]], [11, [-3, 1]], [19, [3, 1]]], "space_label": "930.2.a", "level": 930, "is_self_dual": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_degree": 1, "char_conductor": 1, "char_orbit_index": 1, "hecke_ring_generator_nbound": 1, "hecke_orbit_code": 33555362, "fricke_eigenval": -1, "trace_moments": [{"__RealLiteral__": 0, "data": "0.011", "prec": 17}, {"__RealLiteral__": 0, "data": "1.010", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.996", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.969", "prec": 17}], "id": null, "projective_field": null, "embedded_related_objects": null, "projective_image_type": null, "artin_image": null, "artin_field": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "artin_degree": null, "qexp": [[0], [1], [-1], [-1], [1], [-1], [1], [-3], [-1], [1], [1], [3], [-1], [-2], [3], [1], [1], [-4], [-1], [-3], [-1], [3], [-3], [5], [1], [1], [2], [-1], [-3], [4], [-1], [1], [-1], [-3], [4], [3], [1], [0], [3], [2], [1], [4], [-3], [1], [3], [-1], [-5], [10], [-1], [2], [-1], [4], [-2], [3], [1], [-3], [3], [3], [-4], [6], [1], [-2], [-1], [-3], [1], [2], [3], [2], [-4], [-5], [-3], [7], [-1], [5], [0], [-1], [-3], [-9], [-2], [-1], [-1], [1], [-4], [12], [3], [4], [-1], [-4], [-3], [1], [1], [6], [5], [-1], [-10], [3], [1], [-10], [-2], [3], [1]]}