# Stored data for newform 945.2.a.g, downloaded from the LMFDB on 24 April 2024.
{"label": "945.2.a.g", "space_label": "945.2.a", "level": 945, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27021597797778353, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1232455972961971443, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, -1, 1]], [11, [-1, 4, 1]]], "qexp_display": "q+\\beta q^{2}+(-1+\\beta )q^{4}-q^{5}-q^{7}+(1+\\cdots)q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 3780, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 7.5458629910109964, "hecke_ring_index": 1, "level_radical": 105, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "field_poly_is_real_cyclotomic": true, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.010", "prec": 17}, "analytic_rank_proved": true, "char_values": [945, 1, [596, 757, 136], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 7], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.959", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.373", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "62.489", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, 1], [7, 1]], "trace_display": [1, 0, -2, -2], "traces": [0, 2, 1, 0, -1, -2, 0, -2, 0, 0, -1, -4, 0, 5, -1, 0, -3, -1, 0, -3, 1, 0, -7, -13, 0, 2, 0, 0, 1, -1, 0, 0, -9, 0, -3, 2, 0, 0, -14, 0, 0, -5, 0, -2, -3, 0, -4, -22, 0, 2, 1, 0, -5, 11, 0, 4, 0, 0, 22, -16, 0, -21, 15, 0, 4, -5, 0, 7, -2, 0, 1, -1, 0, 10, 15, 0, -11, 4, 0, 9, 3, 0, -15, -8, 0, 1, -21, 0, 10, 6, 0, -5, 9, 0, -11, 3, 0, 9, 1, 0, -1, -20, 0, 19, 5, 0, 3, -8, 0, 5, 7, 0, 3, -5, 0, 13, 23, 0, 7, 1, 0, -4, -18, 0, 15, -2, 0, -11, 25, 0, 0, -11, 0, 3, 21, 0, 5, 8, 0, -16, -1, 0, -8, -5, 0, 1, 25, 0, 15, 7, 0, -18, 25, 0, 7, 0, 0, -6, 7, 0, 9, 13, 0, 12, -10, 0, -19, 6, 0, -11, 3, 0, -19, -14, 0, -2, 21, 0, -7, 14, 0, -30, 0, 0, -5, 0, 0, 7, 11, 0, 14, -13, 0, 5, -13, 0, -1, 30, 0, 1, 0, 0, 0, 1, 0, 5, 12, 0, 0, 31, 0, 6, -8, 0, 11, 2, 0, 0, 25, 0, 3, 0, 0, 6, 9, 0, -10, -35, 0, -18, 4, 0, -45, -23, 0, 22, 23, 0, 3, 8, 0, -13, 18, 0, 3, -2, 0, 5, -30, 0, -1, 2, 0, 21, 7, 0, 7, 0, 0, 0, 5, 0, -3, 19, 0, -11, 14, 0, 14, -8, 0, -29, 9, 0, -36, -4, 0, 25, 17, 0, 0, 25, 0, 49, -7, 0, -10, 5, 0, -31, -22, 0, 15, 26, 0, 16, -30, 0, 31, -35, 0, 2, 11, 0, 42, 21, 0, 12, 3, 0, -15, -13, 0, -24, -8, 0, -2, 30, 0, -43, -4, 0, 4, 14, 0, 5, -14, 0, 25, 22, 0, -57, -11, 0, 13, -7, 0, -21, -18, 0, 2, -30, 0, -2, 40, 0, -17, 30, 0, 18, -1, 0, 13, -39, 0, 1, -13, 0, 7, -46, 0, 29, -25, 0, 5, -10, 0, -23, 12, 0, -15, -11, 0, 13, 11, 0, 0, -25, 0, -12, 11, 0, -34, -8, 0, -4, -5, 0, -22, -27, 0, 4, 0, 0, 25, -9, 0, 36, 3, 0, -3, 37, 0, -15, 20, 0, -22, -30, 0, -44, 15, 0, -7, 16, 0, 8, -25, 0, 48, -6, 0, 37, -42, 0, 5, -1, 0, 21, 19, 0, 21, -5, 0, 9, -15, 0, 20, 7, 0, 36, -10, 0, -5, 21, 0, -6, 13, 0, -4, -32, 0, 35, -5, 0, 5, 5, 0, 19, -29, 0, -9, 21, 0, 1, -66, 0, -24, -16, 0, -7, 11, 0, -30, 44, 0, -3, 2, 0, -31, -63, 0, -15, -9, 0, 22, -9, 0, -40, 15, 0, -1, 1, 0, -22, -25, 0, -45, 1, 0, -38, 1, 0, -4, -73, 0, 20, 38, 0, 18, -2, 0, -10, -24, 0, 20, -19, 0, 44, -15, 0, -5, -14, 0, -27, 8, 0, 57, -15, 0, 41, -3, 0, 11, 0, 0, 8, -35, 0, -19, -4, 0, 11, -37, 0, 2, -5, 0, -6, -44, 0, -7, -111, 0, -9, -5, 0, 33, 9, 0, 15, -3, 0, 15, 17, 0, 5, 17, 0, 15, 80, 0, 45, -5, 0, 15, -13, 0, 4, -13, 0, -23, 8, 0, -17, -40, 0, -2, 39, 0, -75, -7, 0, -45, 6, 0, -1, 24, 0, 5, 60, 0, -23, 21, 0, 29, 4, 0, 22, 1, 0, 18, -55, 0, -28, 36, 0, -10, 51, 0, -28, -15, 0, -24, -6, 0, 2, -37, 0, -2, -15, 0, 48, -5, 0, -5, 11, 0, 5, -64, 0, -25, 35, 0, 41, -9, 0, 17, 44, 0, 2, 0, 0, -26, 17, 0, 11, 45, 0, 11, 6, 0, 19, -36, 0, 30, -3, 0, 29, 7, 0, -21, 57, 0, -84, -58, 0, -7, 4, 0, -9, -5, 0, -45, 39, 0, -8, -1, 0, 63, 30, 0, -70, -3, 0, 10, 16, 0, 15, 59, 0, 1, 22, 0, -75, -18, 0, -2, 20, 0, 30, 8, 0, 20, 15, 0, 5, -7, 0, -53, -55, 0, -19, 52, 0, 5, -1, 0, 33, -5, 0, -25, 21, 0, 1, -19, 0, 61, -49, 0, -10, -15, 0, -3, -9, 0, -7, -46, 0, 4, 8, 0, -60, 33, 0, 45, 18, 0, -21, 34, 0, -25, 49, 0, -5, -21, 0, 31, -55, 0, -4, -7, 0, -10, 51, 0, 0, 35, 0, -41, 70, 0, 17, 17, 0, -3, 6, 0, -2, -5, 0, -7, 5, 0, -45, -2, 0, 2, 13, 0, 11, -9, 0, 16, -60, 0, -13, 30, 0, -20, 58, 0, 1, -23, 0, -45, -12, 0, 103, -2, 0, 10, 86, 0, -58, -5, 0, -7, -44, 0, 18, 19, 0, 5, -1, 0, -6, 17, 0, -13, -3, 0, 145, -4, 0, -48, 11, 0, 4, -9, 0, -3, 15, 0, -58, 18, 0, -30, 48, 0, -6, 19, 0, -65, 32, 0, 14, -53, 0, -15, -23, 0, 0, -45, 0, 81, 2, 0, 38, 3, 0, -21, -76, 0, -8, -5, 0, 78, 34, 0, 11, 7, 0, 7, 33, 0, -14, -25, 0, -26, 135, 0, -3, 55, 0, 15, 30, 0, 23, 40, 0, 0, -60, 0, 46, 27, 0, -11, 11, 0, 15, 5, 0, 38, 5, 0, 0, -2, 0, 27, 27, 0, -3, -1, 0, -28, -7, 0, 36, -21, 0, -11, 96, 0, 20, -21, 0, 67, 31, 0, 5, -14, 0, -5, 40, 0, 13, -39, 0, -19, -8, 0, 28, 30, 0, 4, -5, 0, -26, -40, 0, 13, 36, 0, 16, -10, 0, 54, 16, 0, 8, 1, 0, 43, -47, 0, -30, -21, 0, -30, -7, 0, -50, 15, 0, 8, -1, 0, 16, 31, 0, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "945.2.a.e", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [0, 1], [0, 0], [-1, 1], [-1, 0], [0, 0], [-1, 0], [1, -2], [0, 0], [0, -1], [-1, -2], [0, 0], [3, -1], [0, -1], [0, 0], [0, -3], [0, -1], [0, 0], [1, -5], [1, -1], [0, 0], [-2, -3], [-7, 1], [0, 0], [1, 0], [-1, 2], [0, 0], [1, -1], [-5, 9], [0, 0], [-3, 6], [-5, 1], [0, 0], [-1, -1], [1, 0], [0, 0], [-3, 6], [-5, -4], [0, 0], [-1, 2], [0, -5], [0, 0], [3, -8], [-1, -1], [0, 0], [1, -6], [-11, 0], [0, 0], [1, 0], [0, 1], [0, 0], [-4, 3], [6, -1], [0, 0], [1, 2], [-1, 2], [0, 0], [9, 4], [-11, 6], [0, 0], [-9, -3], [6, 3], [0, 0], [1, 2], [-3, 1], [0, 0], [0, 7], [-1, 0], [0, 0], [0, 1], [1, -3], [0, 0], [1, 8], [6, 3], [0, 0], [-6, 1], [1, 2], [0, 0], [4, 1], [0, 3], [0, 0], [-5, -5], [-1, -6], [0, 0], [0, 1], [-8, -5], [0, 0], [3, 4], [5, -4], [0, 0], [-3, 1], [8, -7], [0, 0], [0, -11], [-1, 5], [0, 0], [8, -7], [0, 1], [0, 0], [-1, 1]]}