# Stored data for newform 966.2.a.m, downloaded from the LMFDB on 24 April 2024. {"label": "966.2.a.m", "space_label": "966.2.a", "level": 966, "weight": 2, "hecke_orbit": 13, "hecke_orbit_code": 54043195562001350, "dim": 2, "is_polredabs": true, "nf_label": "2.2.41.1", "trace_hash": 23773252553712242, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-10, 1, 1]], [11, [0, 1]], [13, [-4, -5, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}-\\beta q^{5}-q^{6}-q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 3864, "fricke_eigenval": -1, "atkin_lehner_string": "+-++", "analytic_conductor": 7.713548835255685, "hecke_ring_index": 1, "level_radical": 966, "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": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [966, 1, [323, 829, 925], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 7, 23], "conrey_indexes": [1], "field_disc": 41, "field_disc_factorization": [[41, 1]], "field_poly": [-10, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.030", "prec": 17}, {"__RealLiteral__": 0, "data": "1.993", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.488", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "79.051", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [7, 1], [23, 1]], "trace_display": [-2, 2, -1, -2], "traces": [0, 2, -2, 2, 2, -1, -2, -2, -2, 2, 1, 0, 2, 5, 2, -1, 2, 0, -2, 2, -1, -2, 0, -2, -2, 11, -5, 2, -2, 7, 1, 12, -2, 0, 0, 1, 2, 1, -2, 5, 1, 9, 2, 5, 0, -1, 2, 1, 2, 2, -11, 0, 5, 6, -2, 0, 2, 2, -7, -14, -1, 20, -12, -2, 2, -23, 0, 8, 0, -2, -1, 2, -2, 2, -1, 11, 2, 0, -5, 0, -1, 2, -9, -18, -2, 0, -5, 7, 0, -18, 1, -5, -2, 12, -1, 40, -2, 17, -2, 0, 11, 22, 0, -15, -5, 1, -6, 4, 2, 25, 0, 1, -2, -15, -2, 1, 7, 5, 14, 0, 1, -22, -20, 9, 12, -21, 2, 15, -2, 5, 23, 18, 0, -2, -8, -1, 0, 21, 2, -23, 1, 1, -2, 0, 2, 17, -2, 2, 1, -22, -11, -1, -2, 0, 0, -6, 5, -14, 0, 6, 1, 2, -2, -24, 9, 0, 18, -30, 2, 7, 0, 2, 5, 6, -7, -11, 0, -14, 18, 5, -1, 8, 5, 20, 2, -21, -12, 0, 1, -2, -40, 20, 2, 5, -17, -23, 2, -19, 0, -17, -11, 8, -22, -7, 0, -25, 15, -2, 5, 0, -1, -24, 6, 2, -4, -23, -2, -12, -25, 2, 0, 0, -1, -16, 2, 11, 15, -21, 2, 18, -1, 0, -7, 32, -5, -21, -14, 0, 0, -12, -1, -9, 22, 2, 20, -1, -9, -36, -12, -18, 21, -17, -2, 0, -15, 0, 2, -4, -5, -1, -23, 7, -18, -1, 0, -44, 2, -18, 8, 6, 1, 22, 0, -5, -21, 0, -2, -14, 23, 12, -1, 15, -1, -20, 2, 40, 0, -9, -2, -34, -17, 17, 2, -32, -2, -34, -1, 0, 22, -5, 11, -5, 1, 22, 2, -10, 0, -9, 0, -15, 6, 6, -5, -22, 14, 1, 0, 9, -6, 0, -1, 4, -2, 0, 2, 48, 24, 25, -9, -1, 0, 16, -18, 1, 30, -4, -2, 22, -7, -15, 0, 0, -2, -2, -5, 1, -6, 9, 7, 30, 11, 5, 0, -9, 14, -42, -18, 0, -5, 13, 1, 46, -8, -22, -5, 40, -20, -13, -2, 9, 21, -6, 12, 16, 0, -21, -1, -3, 2, -29, 40, 15, -20, -12, -2, 0, -5, 5, 17, 48, 23, 0, -2, 18, 19, 0, 0, -26, 17, -2, 11, 32, -8, 30, 22, -1, 7, 0, 0, -26, 25, 21, -15, 14, 2, -32, -5, -23, 0, -18, 1, 25, 24, 1, -6, 0, -2, -20, 4, 0, 23, -9, 2, 15, 12, 17, 25, -2, -2, 32, 0, 2, 0, 15, 1, 50, 16, -22, -2, 4, -11, 0, -15, -1, 21, 23, -2, 6, -18, 0, 1, 42, 0, -7, 7, -6, -32, -23, 5, -8, 21, -14, 14, 0, 0, -30, 0, 6, 12, 2, 1, 23, 9, 2, -22, 53, -2, -7, -20, -24, 1, 16, 9, 0, 36, 0, 12, -2, 18, 10, -21, -30, 17, -10, 2, 30, 0, 7, 15, -4, 0, -2, -2, 2, 4, 69, 5, 0, 1, 6, 23, 18, -7, 0, 18, -11, 1, 0, 0, 2, 44, -14, -2, 43, 18, -84, -8, 5, -6, 0, -1, -2, -22, 8, 0, -33, 5, 10, 21, 20, 0, 48, 2, 0, 14, -21, -23, 30, -12, 33, 1, 0, -15, 19, 1, -13, 20, -2, -2, 3, -40, -24, 0, 20, 9, -11, 2, 4, 34, 5, 17, 18, -17, 0, -2, -23, 32, -28, 2, 12, 34, -19, 1, -39, 0, 0, -22, -17, 5, -8, -11, 38, 5, 8, -1, 11, -22, -4, -2, -7, 10, 23, 0, 7, 9, -25, 0, -84, 15, -60, -6, -2, -6, 18, 5, -24, 22, 0, -14, 0, -1, 44, 0, -24, -9, -69, 6, 5, 0, 2, 1, -17, -4, 32, 2, -23, 0, 30, -2, 0, -48, -12, -24, 75, -25, -50, 9, 2, 1, 0, 0, -16, -16, 0, 18, -40, -1, -7, -30, -16, 4, 0, 2, -23, -22, 11, 7, -32, 15, -17, 0, -21, 0, 72, 2, 51, 2, 18, 5, 56, -1, -77, 6, 0, -9, 73, -7, 0, -30, 32, -11, 42, -5, -40, 0, -21, 9, -22, -14, -56, 42, 0, 18, -12, 0, 0, 5, -12, -13, -3, -1, 15, -46, -9, 8, 18, 22, -88, 5, 2, -40, 0, 20, -2, 13, -1, 2, 0, -9, 38, -21, -36, 6, 8, -12, 52, -16, -18, 0, -4, 21, 16, 1, -17, 3, -61, -2, 40, 29, 0, -40, -20, -15, -25, 20, 0, 12, 6, 2, -39, 0, -4, 5, 19, -5, 66, -17, -1, -48, -32, -23, 0, 0, 7, 2, 48, -18, 10, -19, -1, 0, 15, 0, 50, 26, -44, -17, -57, 2, 0, -11, -18, -32, 0, 8, -1, -30, 6, -22, -30, 1, -35, -7, 22, 0, 12, 0, -36, 26, -5, -25, 12, -21, 23, 15, 0, -14, -2, -2, -22, 32, -14, 5, 0, 23, 56, 0, 12, 18, -26, -1, -13, -25, 15, -24, -106, -1, 22, 6, -20, 0, -1, 2, 63, 20, 40, -4, 49, 0, 37, -23, -9, 9, 4, -2, 38, -15, -34, -12, 0, -17, 20, -25, 17, 2, 21, 2, -58, -32, -32, 0, 18, -2, 46, 0, -34, -15, -66, -1, -15, -50, 0, -16, -40, 22, -23, 2, -5, -4, 42, 11, 0, 0, -5, 15, -86, 1, -25, -21, 22, -23, -3, 2, 0, -6, -10, 18, -18, 0, 28, -1, -9, -42, 46, 0, 26, 7, -15, -7, 41, 6, 2, 32, 6, 23, 0, -5, 37, 8, -22, -21, 39, 14, -9, -14, 1, 0, 39, 0, -36, 30, 9, 0, -16, -6, -92, -12, 0, -2, -21, -1, 10, -23, 4, -9, 59, -2, -36, 22, 0, -53, -54, 2, 23, 7, 48, 20, -87, 24, 0, -1, 25, -16, -22, -9, -93, 0, -1, -36, -5, 0, 40, -12, 16, 2, -53, -18, 110, -10, 1, 21], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "966.2.a.m", "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, 0], [1, 0], [1, 0], [0, -1], [-1, 0], [-1, 0], [-1, 0], [1, 0], [0, 1], [0, 0], [1, 0], [2, 1], [1, 0], [0, -1], [1, 0], [0, 0], [-1, 0], [2, -2], [0, -1], [-1, 0], [0, 0], [-1, 0], [-1, 0], [5, 1], [-2, -1], [1, 0], [-1, 0], [4, -1], [0, 1], [6, 0], [-1, 0], [0, 0], [0, 0], [0, 1], [1, 0], [0, 1], [-2, 2], [2, 1], [0, 1], [4, 1], [1, 0], [2, 1], [0, 0], [0, -1], [1, 0], [0, 1], [1, 0], [1, 0], [-5, -1], [0, 0], [2, 1], [2, 2], [-1, 0], [0, 0], [1, 0], [2, -2], [-4, 1], [-8, 2], [0, -1], [10, 0], [-6, 0], [-1, 0], [1, 0], [-10, -3], [0, 0], [4, 0], [0, 0], [-1, 0], [0, -1], [0, 2], [-1, 0], [2, -2], [0, -1], [5, 1], [2, -2], [0, 0], [-2, -1], [0, 0], [0, -1], [1, 0], [-4, -1], [-10, 2], [-1, 0], [0, 0], [-2, -1], [4, -1], [0, 0], [-8, -2], [0, 1], [-2, -1], [-1, 0], [6, 0], [0, -1], [20, 0], [-1, 0], [10, -3], [-1, 0], [0, 0], [5, 1]]}