# Stored data for newform 945.2.a.k, downloaded from the LMFDB on 25 April 2024.
{"label": "945.2.a.k", "space_label": "945.2.a", "level": 945, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307260337, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 531152792472221267, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, -2, 1]], [11, [-1, 2, 1]]], "qexp_display": "q+(1+\\beta )q^{2}+(1+2\\beta )q^{4}+q^{5}-q^{7}+\\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": 8, "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": "0.018", "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": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.005", "prec": 17}, {"__RealLiteral__": 0, "data": "1.986", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.073", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "71.102", "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": [2, 0, 2, -2], "traces": [0, 2, 2, 0, 2, 2, 0, -2, 6, 0, 2, -2, 0, 2, -2, 0, 6, 4, 0, 6, 2, 0, 2, 4, 0, 2, 6, 0, -2, -8, 0, 12, -6, 0, 12, -2, 0, 0, 2, 0, 6, -10, 0, -2, 6, 0, -4, -2, 0, 2, 2, 0, 10, -2, 0, -2, -6, 0, -8, 4, 0, 0, 12, 0, -14, 2, 0, 10, 20, 0, -2, 4, 0, 10, -24, 0, -2, 2, 0, 24, 6, 0, -18, 2, 0, 4, -18, 0, -2, -6, 0, -2, -12, 0, 22, 6, 0, 0, 2, 0, 2, -34, 0, 16, 10, 0, -30, -4, 0, -10, 2, 0, -6, 14, 0, 4, -8, 0, -20, -4, 0, -16, -24, 0, 12, 2, 0, 22, -10, 0, 6, -4, 0, -6, 18, 0, 20, -14, 0, 20, -2, 0, 4, 2, 0, -8, -10, 0, -48, -4, 0, -24, 14, 0, -2, 12, 0, 24, 32, 0, -6, -4, 0, 24, -26, 0, -22, 0, 0, -20, 12, 0, -34, 8, 0, -2, -6, 0, -22, -2, 0, 0, -6, 0, 4, 0, 0, 4, 46, 0, 2, -26, 0, -28, 40, 0, 2, 6, 0, -2, 6, 0, -42, 8, 0, -10, 24, 0, 6, -10, 0, -12, -58, 0, -28, -2, 0, -12, 14, 0, 6, 12, 0, 0, 6, 0, 2, 2, 0, 24, -4, 0, -24, 2, 0, -2, -44, 0, -12, 4, 0, 8, -24, 0, -48, 2, 0, 2, 36, 0, 2, -32, 0, -12, 38, 0, -26, 24, 0, 0, 10, 0, 36, -4, 0, -2, -2, 0, 26, -28, 0, 34, 12, 0, -18, -2, 0, -20, 52, 0, -6, 44, 0, -8, 4, 0, 2, 10, 0, -10, -8, 0, -30, -20, 0, 4, -24, 0, 52, -4, 0, 2, -56, 0, 18, 0, 0, -12, -6, 0, 12, 40, 0, 18, 32, 0, 40, 54, 0, 8, -14, 0, 4, 4, 0, 2, 8, 0, -38, 2, 0, 12, -46, 0, -32, 10, 0, 12, -12, 0, 20, -12, 0, -2, -22, 0, 40, 12, 0, -12, -2, 0, 10, 24, 0, 4, -38, 0, -38, -2, 0, -16, 16, 0, -10, 10, 0, 52, 12, 0, -24, 2, 0, 4, 4, 0, 18, -8, 0, -12, -2, 0, -46, 32, 0, 2, -4, 0, 80, -12, 0, -8, 6, 0, 34, 24, 0, 24, -6, 0, 6, -28, 0, 12, -50, 0, 8, -24, 0, 16, -18, 0, 32, -4, 0, 2, -2, 0, 6, -12, 0, -14, 12, 0, -34, 4, 0, 0, -52, 0, -18, -70, 0, -6, -12, 0, 38, 20, 0, 30, -2, 0, 28, 48, 0, -6, -16, 0, 14, -28, 0, 2, -10, 0, 26, -2, 0, -32, 8, 0, -12, 18, 0, 34, -24, 0, -42, -8, 0, -10, 22, 0, -12, -14, 0, 6, -20, 0, 68, -24, 0, -24, -48, 0, -32, 0, 0, 38, -24, 0, 2, 20, 0, -16, 10, 0, 36, -4, 0, 40, 2, 0, 8, -26, 0, -34, 4, 0, 54, 20, 0, -10, -54, 0, 8, 16, 0, 26, 24, 0, 10, 38, 0, 48, 76, 0, 12, 24, 0, -22, -30, 0, 2, -18, 0, -4, 38, 0, -28, -2, 0, -10, 22, 0, -4, -10, 0, -24, -22, 0, 2, -24, 0, -24, -4, 0, 84, 48, 0, -18, -6, 0, 60, 22, 0, 14, -32, 0, 12, 40, 0, -48, 2, 0, 18, 4, 0, -14, 22, 0, -8, -2, 0, -26, 10, 0, -44, 48, 0, 36, -20, 0, 0, -48, 0, -4, 108, 0, -4, 30, 0, 4, 18, 0, -88, -16, 0, 64, -22, 0, -24, 22, 0, 8, -36, 0, 2, -24, 0, -10, 12, 0, 24, 6, 0, 2, 70, 0, 40, -48, 0, 48, 80, 0, 58, 22, 0, 2, -8, 0, -10, 16, 0, -16, 12, 0, 20, -62, 0, -28, 6, 0, -8, -56, 0, -4, -30, 0, -22, -36, 0, -56, 12, 0, -18, -6, 0, -16, -64, 0, 18, -24, 0, 12, 76, 0, -4, 56, 0, 0, 20, 0, 12, -48, 0, -14, -2, 0, -6, -30, 0, 26, 72, 0, 4, 20, 0, -36, -68, 0, -2, 68, 0, 24, 6, 0, 64, 34, 0, -42, 4, 0, -34, 24, 0, 2, -74, 0, 82, -32, 0, -16, -40, 0, 32, -8, 0, 0, -10, 0, -10, -36, 0, -74, 52, 0, -20, -2, 0, -76, -48, 0, 30, 12, 0, -4, 52, 0, 4, 4, 0, -36, -6, 0, -24, -24, 0, -60, 68, 0, 14, -4, 0, 10, -66, 0, 16, -20, 0, 20, -2, 0, 20, -60, 0, 12, 40, 0, -44, -22, 0, -4, -8, 0, 6, 24, 0, -32, 62, 0, 32, -14, 0, -24, 32, 0, -10, 32, 0, 44, -6, 0, 28, -30, 0, -4, 36, 0, -110, 8, 0, -2, 8, 0, 0, 24, 0, 10, -16, 0, -26, 52, 0, 2, 56, 0, 20, 56, 0, -48, -22, 0, -22, 4, 0, 0, 22, 0, -4, -12, 0, -26, -14, 0, 36, -20, 0, 16, -6, 0, 12, 48, 0, 8, 24, 0, -36, 12, 0, -6, -34, 0, -74, -68, 0, 8, -82, 0, -12, -16, 0, 18, -6, 0, -12, -2, 0, -64, 18, 0, -6, -20, 0, 16, 44, 0, 0, 38, 0, -22, -22, 0, -32, -30, 0, -2, 10, 0, -20, -48, 0, -60, -10, 0, 30, 0, 0, -70, 50, 0, -6, 6, 0, -26, -72, 0, -8, 4, 0, 0, 4, 0, -46, 4, 0, 0, 50, 0, 24, 54, 0, 6, -86, 0, 8, 4, 0, 18, -18, 0, 46, 30, 0, -4, 12, 0, -2, 32, 0, -10, 2, 0, -20, -64, 0, -26, 132, 0, -64, 14, 0, 10, -48, 0, -104, -28, 0, 22, -56, 0, 40, -24, 0, -20, 70, 0, 0, -22, 0, -10, 2, 0, -44, -40, 0, 6, -48, 0, 18, 28, 0, 52, -36, 0, -4, -2, 0, -80, -16, 0, 6], "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.b", "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], [1, 1], [0, 0], [1, 2], [1, 0], [0, 0], [-1, 0], [3, 1], [0, 0], [1, 1], [-1, 1], [0, 0], [1, 1], [-1, -1], [0, 0], [3, 0], [2, 2], [0, 0], [3, -1], [1, 2], [0, 0], [1, 0], [2, -2], [0, 0], [1, 0], [3, 2], [0, 0], [-1, -2], [-4, 0], [0, 0], [6, 0], [-3, 1], [0, 0], [6, 4], [-1, 0], [0, 0], [0, -6], [1, 2], [0, 0], [3, 1], [-5, -2], [0, 0], [-1, -4], [3, -1], [0, 0], [-2, 0], [-1, 6], [0, 0], [1, 0], [1, 1], [0, 0], [5, 3], [-1, -7], [0, 0], [-1, 1], [-3, -1], [0, 0], [-4, -4], [2, -6], [0, 0], [0, -6], [6, 6], [0, 0], [-7, -2], [1, 1], [0, 0], [5, 2], [10, 6], [0, 0], [-1, -1], [2, 0], [0, 0], [5, -5], [-12, -6], [0, 0], [-1, 5], [1, -1], [0, 0], [12, 2], [3, 0], [0, 0], [-9, -7], [1, -6], [0, 0], [2, 2], [-9, -5], [0, 0], [-1, 2], [-3, -4], [0, 0], [-1, -1], [-6, 2], [0, 0], [11, 5], [3, -1], [0, 0], [0, 10], [1, 1], [0, 0], [1, 2]]}