# Stored data for newform 7350.2.a.z, downloaded from the LMFDB on 25 April 2024.
{"label": "7350.2.a.z", "space_label": "7350.2.a", "level": 7350, "weight": 2, "hecke_orbit": 26, "hecke_orbit_code": 112589990717824182, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1533503277827234250, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[11, [2, 1]], [13, [4, 1]], [17, [5, 1]], [19, [4, 1]], [23, [-5, 1]], [31, [11, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 29400, "fricke_eigenval": -1, "atkin_lehner_string": "+-++", "analytic_conductor": 58.69004548564108, "hecke_ring_index": 1, "level_radical": 210, "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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [7350, 1, [4901, 1177, 2551], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.016", "prec": 17}, {"__RealLiteral__": 0, "data": "0.935", "prec": 17}, {"__RealLiteral__": 0, "data": "0.059", "prec": 17}, {"__RealLiteral__": 0, "data": "1.824", "prec": 17}, {"__RealLiteral__": 0, "data": "0.249", "prec": 17}, {"__RealLiteral__": 0, "data": "4.495", "prec": 17}], "related_objects": ["EllipticCurve/Q/7350/z"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, 1], [7, 1]], "trace_display": [-1, 1, 0, 0], "traces": [0, 1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -2, 1, -4, 0, 0, 1, -5, -1, -4, 0, 0, 2, 5, -1, 0, 4, 1, 0, -6, 0, -11, -1, -2, 5, 0, 1, 8, 4, -4, 0, 5, 0, 0, -2, 0, -5, -1, 1, 0, 0, -5, -4, 12, -1, 0, 0, -4, 6, -2, 0, 10, 11, 0, 1, 0, 2, 0, -5, 5, 0, -1, -1, 2, -8, 0, -4, 0, 4, 9, 0, 1, -5, 6, 0, 0, 0, -6, 2, 11, 0, 0, 5, -11, 1, 0, -1, -1, 0, -2, 0, 12, 5, 13, 4, 0, -12, 2, 1, 4, 0, 8, 0, 5, 4, 0, -6, -4, 2, 0, 0, -7, -10, 5, -11, 0, 0, 0, -1, 0, 0, 6, -2, 0, 0, 0, 5, 23, -5, 2, 0, -1, 1, 8, 1, 0, -2, 0, 8, 18, 0, -16, 4, -5, 0, 0, -4, -14, -9, 12, 0, 0, -1, 24, 5, 0, -6, 16, 0, 3, 0, -4, 0, -2, 6, 0, -2, -2, -11, 22, 0, -22, 0, 10, -5, 0, 11, 10, -1, 0, 0, -25, 1, 11, 1, 0, 0, -24, 2, 5, 0, 0, -12, 0, -5, 0, -13, 5, -4, 8, 0, -16, 12, -1, -2, 0, -1, 0, -4, 2, 0, 20, -8, 21, 0, 0, -5, 18, -4, -14, 0, 0, 6, 26, 4, 0, -2, 9, 0, 11, 0, -6, 7, 1, 10, 0, -5, 16, 11, 6, 0, -8, 0, -10, 0, 0, 1, -14, 0, 0, 0, -6, -6, -21, 2, 0, 0, 11, 0, -24, 0, -9, -5, 0, -23, 0, 5, -2, -2, -11, 0, -29, 1, -26, -1, 0, -8, 0, -1, 8, 0, -1, 2, 18, 0, 0, -8, -2, -18, -20, 0, 0, 16, 12, -4, 0, 5, 28, 0, 13, 0, 29, 4, -1, 14, 0, 9, 4, -12, 12, 0, 2, 0, 20, 1, 0, -24, 4, -5, 0, 0, 10, 6, 8, -16, 0, 0, 13, -3, 5, 0, 22, 4, 0, 0, 0, 2, -18, -6, -4, 0, -4, 2, 9, 2, 0, 11, 0, -22, -20, 0, -3, 22, -7, 0, 0, -10, -4, 5, 5, 0, 0, -11, -32, -10, 0, 1, 24, 0, -2, 0, 0, 25, 3, -1, 0, -11, 0, -1, 24, 0, -25, 0, 6, 24, 0, -2, -34, -5, 0, 0, -6, 0, 44, 12, 0, 0, -16, 5, -35, 0, 23, 13, 0, -5, 0, 4, 2, -8, 0, 0, 28, 16, -1, -12, 0, 1, 0, 2, 8, 0, -3, 1, -9, 0, 0, 4, -20, -2, 35, 0, 0, -20, -8, 8, 0, -21, 18, 0, 37, 0, -10, 5, -16, -18, 0, 4, 14, 14, -5, 0, 20, 0, 13, -6, 0, -26, -34, -4, 0, 0, -14, 2, 0, -9, 0, 0, 12, -11, -3, 0, -32, 6, 0, -7, 0, -1, -39, -10, 24, 0, 12, 5, 30, -16, 0, -11, 0, -6, 22, 0, 16, 8, 8, 0, 0, 10, 3, 0, 2, 0, 0, -1, -4, 14, 0, 0, 2, 0, -2, 0, -3, 6, -14, 6, 0, 21, 55, -2, 2, 0, -2, 0, -20, -11, 0, 0, 22, 24, 0, 0, -4, 9, -22, 5, 0, 0, 8, 23, 10, 0, 24, -5, 0, 2, 0, 2, 38, 11, 0, 0, 10, 29, -36, -1, 0, 26, 0, 1, 9, 0, -44, 8, -25, 0, 0, 1, -2, -8, 11, 0, 0, 1, -24, -2, 0, -18, 6, 0, 44, 0, -24, 8, 9, 2, 0, 18, 5, 20, 17, 0, -34, 0, 0, -16, 0, -12, -27, 4, 0, 0, 4, -5, 34, -28, 0, 0, 29, -13, -14, 0, 5, -29, 0, -4, 0, 1, 8, -14, -40, 0, 33, -9, -16, -4, 0, 12, 0, -12, -1, 0, -15, -2, 26, 0, 0, -20, -28, -1, 4, 0, 0, 24, 28, -4, 0, 5, 2, 0, -14, 0, 14, -10, 20, -6, 0, -8, -30, 16, 21, 0, -20, 0, 19, -13, 0, 3, -18, -5, 0, 0, 18, -22, -2, -4, 0, 0, -14, 0, -48, 0, -2, -2, 0, 18, 0, 6, -25, 4, 26, 0, 0, 4, -32, -2, 0, -9, 0, -2, 10, 0, 9, -11, -55, 0, 0, 22, 11, 20, -3, 0, 0, 3, -6, -22, 0, 7, -33, 0, 1, 0, 0, 10, 30, 4, 0, -5, 0, -5, 0, 0, 16, 0, -33, 11, 0, 32, 6, 10, 0, 0, -32, -1, -8, -24, 0, 0, 28, 2, -10, 0, 17, 0, 0, -25, 0, -3, 8, 1, -14, 0, -14, 11, -4, 0, 0, 1, 0, -24, -20, 0, 2, 25, -6, 0, 0, -6, 40, -24, -21, 0, 0, 2, -40, 34, 0, 5, 42, 0, 5, 0, 11, 6, -4, 0, 0, -44, -24, -12, 10, 0, -48, 0, -9, 16, 0, -5, 0, 35, 0, 0, 52, -23, 20, -13, 0, 0, -30, 5, 26, 0, -2, -4, 0, -2, 0, 8, -11, 0, -9, 0, 7, -28, -29, -16, 0, 1, 0, 12, -26, 0, 40, -1, 20, 0, 0, -2, 58, -8, -10, 0, 0, 3, 51, -1, 0, 9, 8, 0, -18, 0, 0, -4, -1, 20, 0, 2, 22, -35, 18, 0, 39, 0, 2, 20, 0, 8, 56, -8, 0, 0, -2, 21, 4, -18, 0, 0, -20, -37, 66, 0, -60, 10, 0, -5, 0, 16, 18, 18, 12, 0, 51, -4, -12, -14, 0, -14, 0, 5, 43, 0, 28, -20, 4, 0, 0, -13, 13, 6, 34, 0, 0, 26, 29, 34, 0, 4, -30, 0, -1, 0, 36, 14, 25, -2, 0, 0, 0, 9, -8, 0, 4, 0, -6, -12, 0, 11, 12, 3, 0, 0, 90, 32, 2, -6, 0, 0, -1, 7, 20, 0, 6, 1, 0, 39, 0, 10, -33, -24, -22, 0, 4, -12, 16, -5, 0, -30, 0, 16, 0, 0, 37, 11, 10, 0, 0, 6, 4, -22, 8, 0, 0, -16, 10, -8, 0, -8, -48, 0, -19, 0, 13, -10, 12, -3, 0, 0, 5, -2, 58, 0, 32, 0, 22, 1, 0, 4, -36, -14, 0, 0, -40, 0, -35, -2, 0, 0, -50, 2, 11, 0, -18, 3, 0, -6, 0, 14, -4, -6, 19, 0, 2, -21, -4, -55, 0, 2, 0, -2, 9, 0, 30, 2, 4, 0, 0, 20, 2, 11, 6, 0, 0, 0, -48, -22, 0, -24, -20, 0, -24, 0, -5, 4, -3, -9, 0, 22, -4, -5, -7, 0, 10, 0, 26, -8, 0, -23, -38, -10, 0, 0, -4, -24, 11, 5, 0, 0, 5, -2, -22, 0, -24, -2, 0, -38, 0, -11, 26, 0, -32, 0, 8, -10, 58, -29, 0, 36, 0, 1, -43, 0, 24, -26, -26, 0, 0, -1, -2, -9, 0, 0, 0, 44, 0, -8, 0, 25, -88, 0, 3, 0, 32, -1, 34, 2, 0, 8, -44, -11, -40, 0, 0, 0, 4, -1, 0, 24, 24, 2, 0, 0, 10, 18, -25, -6, 0, 0, -4, -44, 6, 0, 34, 24, 0, -8, 0, -9, -18, -2, -30, 0, -34, -18, 6, -5, 0, -20, 0, -17, -8, 0, -10, 34, -6, 0, 0, 0, 5, 16, 44, 0, 0, 12, 2, 27, 0, -4, -30, 0, 60, 0, -16, -4, -48, 5, 0, -34, -35, 28, -36, 0, -57, 0, 23, -29, 0, 13, 34, 14, 0, 0, -10, -5, -10, 29, 0, 0, 0, 4, 51, 0, 2, -1, 0, -8, 0, 14, 0, 40, 38, 0, 4, -33, 28, 9, 0, 16, 0, 4, -1, 0, -55, -12, 0, 0, 0, 12, -52, 1, 39, 0, 0, 15, 18, 2, 0, -26, 8, 0, -41, 0, -18, 20, -3, 28, 0, 1, -1, -4, -9, 0, 36, 0, -31, -24, 0, -28, -36, 4, 0, 0, -20, -5, -48, -2, 0, 0, 35, 14, -21, 0, -23, -14, 0, 10, 0, -20, -65, 6, -8, 0, 36, 8, 0, 30, 0, -16, 0, -21, -52, 0, 18, 20, -45, 0, 0, -19, 37, 13, 4, 0, 0, -3, -10, 18, 0, 5, -10, 0, -16, 0, -70, -18, 6, 22, 0, 2, -32, 4, 27, 0, 14, 0, 20, 14, 0, 0, -5, 48, 0, 0, 50, 2, 20, 2, 0, 0, -8, -18, 13, 0, -8, -6, 0, 25, 0, -4, 0, -26, -69, 0, -34, 0, 50, -4, 0, 32, 0, 2, 45, 0, -30, 9, -14, 0, 0, 2, -16, -10, 0, 0, 0, -9, 41, 11, 0, 55, 10, 0, 16, 0, 12, -22, 37, -11, 0, -20, -3, 3, -51, 0, -12, 0, -32, -3, 0, 6, 47, 22, 0, 0, 24, -7, -16, 33, 0, 0, 11, -1, 14, 0, -39, 0, 0, -10, 0, -30, 24, -4, -20, 0, 21, 5, 12, 0, 0, 5, 0, 0, 30, 0, -9, -16, -8, 0, 0, 33, 25, -11, 10, 0, 0, -32, -50, -6, 0, -10, 22, 0, 40, 0, -36, 32, 16, 1, 0, 8, -46, 24, 8, 0, 53, 0, -55, -28, 0, -2, 40, 10, 0, 0, 3, -17, 72, 0, 0, 0, 2, 25, -4, 0, 46, 3, 0, -8, 0, -1, -72, 14, -4, 0, 0, 14, 0, -11, 0, 4, 0, 0, -10, 0, 2, -1, -23, 0, 0, 24, -2, 20, -35, 0, 0, -2, -3, -25, 0, 6, -5, 0, -14, 0, -30, 6, 28, -40, 0, 24, -24, 21, -68, 0, 55, 0, 39, -2, 0, 40, 2, -34, 0, 0, 0, -5, -2, -42, 0, 0, -28, -5, -20, 0, 6, -11, 0, -6, 0, 4, -45, 0, 62, 0, 22, 44, -36, 24, 0, 12, 0, -10, -24, 0, -52, 48, -4, 0, 0, 9, -12, -16, -22, 0, 0, 5, -5, 0, 0, -35, -18, 0, -36, 0, 8, -52, -132, 23, 0, -20, 10, 13, 5, 0, 0, 0, 24, 30, 0, -5, 19, -26, 0, 0, 32, 2, -16, 4, 0, 0, -34, 2, 22, 0, 38, -8, 0, 11, 0, 0, 0, 9, 10, 0, -16, -7, 10, 28, 0, 29, 0, 16, -36, 0, -44, -1, -16, 0, 0, -12, -61, 26, 30, 0, 0, -40, -24, 1, 0, -20, 9, 0, -6, 0, 12, 2, -44, -58, 0, 8, -60, 10, -25, 0, 78, 0, -14, -3, 0, -51, 28, 1, 0, 0, -2, -9, -6, -8, 0, 0, 11, 18, -8, 0, 34, 0, 0, 4, 0, 1, -34, -20, -24, 0, -65, -2, -63, -22, 0, 35, 0, -18, -33, 0, 6, -39, 0, 0, 0, -2, 44, -20, -60, 0, 0, -8, -24, -56, 0, 8, -30, 0, 9, 0, -92, 2, 79, -21, 0, -4, -58, 18, 74, 0, 5, 0, -48, 20, 0, 37, 17, -66, 0, 0, 43, 60, -34, -10, 0, 0, -8, 5, 0, 0, -2, -16, 0, -18, 0, -18, 45, -12, -10, 0, -27, -51, -9, 4, 0, 12, 0, 14, 22, 0, 23, 14, 4, 0, 0, -5, -32, -43, 34, 0, 0, -28, 4, 20, 0, -4, -23, 0, -43, 0, 29, 13, -20, -13, 0, -6, -14, -34, -6, 0, 10, 0, 5, -26, 0, -29, -20, -34, 0, 0, -39, -4, -5, 30, 0, 0, -14, 1, -32, 0, 8, -36, 0, -14, 0, -25, -40, 2, 3, 0, -110, 0, 33, 0, 0, -9, 0, 8, -16, 0, 64, -4, 4, 0, 0, 6, 20, 12, 30, 0, 0, -11, -11, -12, 0, -3, -1, 0, -48, 0, -25, -90, -15, -32, 0, -2, -5, 6, 26, 0, -60, 0, 36, 1, 0, -7, -72, -20, 0, 0, -28, -6, 0, -1, 0, 0, 4, -39, -14, 0, -40, -10, 0, 33, 0, 24, -52, 22, 28, 0, 96, -4, 64, 12, 0, -16, 0, 5, -44, 0, 2, 30, 72, 0, 0, -16, -14, 0, 76, 0, 0, -37, 14, -11, 0, -10, 44, 0, 20, 0, 44, -6, -53, -4, 0, 22, 14, -8, -37, 0, -30, 0, -2, 16, 0, -10, 21, 8, 0, 0, -28, 8, -20, 48, 0, 0, 55, 19, 19, 0, 0, -13, 0, 10, 0, -12, 54, 3, 72, 0, -18, 0, -8, -5, 0, 2, 0, -58, -24, 0, 56, -32, 18, 0, 0, -22, 55, -1, -2, 0, 0, -4, -26, 36, 0, 14, 35, 0, 6, 0, -14, 40, -39, 0, 0, 35, -48, 2, -10, 0, -16, 0, -2, 50, 0, -2, 0, -11, 0, 0, -30, 18, -18, -3, 0, 0, -27, 6, -42, 0, -25, -14, 0, 4, 0, 6, 26, -19, -6, 0, 50, -2, 0, 21, 0, 4, 0, 55, -32, 0, 43, -2, 53, 0, 0, 2, -12, -9, -96, 0, 0, -30, -22, -2, 0, -4, 10, 0, -69, 0, -14, -20, 9, -2, 0, -11, 54, -6, -55, 0, -42, 0, -16, 0, 0, 48, -20, 22, 0, 0, 11, 24, 43, 20, 0, 0, -3, 24, 0, 0, -2, 5, 0, -4, 0, 3, 48, 9, -6, 0, -64, -22, 60, 4, 0, 5, 0, 7, -68, 0, -33, -10, -16, 0, 0, -26, 1, 8, -10, 0, 0, 23, 0, 38, 0, 10, 40, 0, 30, 0, 11, 4, -12, 24, 0, -11, -27, -5, -46, 0, 0, 0, 30, -5, 0, 2, 0, 22, 0, 0, 12, 24, 16, 2, 0, 0, -30, 38, -33, 0, -5, 11, 0, -26, 0, 0, -6, 32, -43, 0, 6, -8, -64, 10, 0, -58, 0, 29, 8, 0, -10, -36, -32, 0, 0, -1, 80, 43, -8, 0, 0, -24, -22, 26, 0, 26, -42, 0, 70, 0, 28, 1, 69, 2, 0, 9, -10, 0, 0, 0, 86, 0, 17, -44, 0, 0, 71, 8, 0, 0, -54, -25, -82, 88, 0, 0, -1, -3, 28, 0, 8, -32, 0, 1, 0, -34, -14, -2, -52, 0, -8, -8, -14, 44, 0, 11, 0, 40, -4, 0, 32, 0, 60, 0, 0, -4, -88, 1, -115, 0, 0, -24, 14, -24, 0, -2, -20, 0, 64, 0, -30, -10, 2, -18, 0, 25, -46, 6, -6, 0, -16, 0, 88, 4, 0, 44, -40, -6, 0, 0, 40, -34, -10, -24, 0, 0, -21, 8, 65, 0, -14, 9, 0, 18, 0, 2, 71, 30, -40, 0, -82, 34, 35, 18, 0, -6, 0, 5, 30, 0, 42, 20, -23, 0, 0, 17, 5, 8, -45, 0, 0, 10, 11, -34, 0, 6, -36, 0, -4, 0, 20, 0, 0, -5, 0, -16, 27, -44, -10, 0, -24, 0, 56, -12, 0, -2, 10, -27, 0, 0, -40, 4, -48, 30, 0, 0, -6, -60, -9, 0, 14, 16, 0, 4, 0, 48, -15, -5, -99, 0, 0, 34, -42, 35, 0, -28, 0, 36, -28, 0, 10, 57, 52, 0, 0, -23, 36, 29, 20, 0, 0, -13, 50, -34, 0, -14, -2, 0, 0, 0, -30, 10, 100, 5, 0, 10, 26, -29, -24, 0, -12, 0, -2, 0, 0, -4, -36, -51, 0, 0, 50, -2, 81, 1, 0, 0, 20, 8, -44, 0, -11, -14, 0, 0, 0, -40, -9, -38, 28, 0, -62, -4, 7, 33, 0, -28, 0, -9, -29, 0, -26, -16, -90, 0, 0, -4, 0, 1, 36, 0, 0, 55, -11, 12, 0, 0, -26, 0, -16, 0, 95, -12, 40, 52, 0, -1, 34, -39, 20, 0, 96, 0, -52, -15, 0, -18, 80, -2, 0, 0, 58, 26, -66, -8, 0, 0, -10, 41, -56, 0, -66, 18, 0, -20, 0, 3, -20, -28, 51, 0, -8, -1, 1, 1, 0, 4, 0, 9, 25, 0, 8, -36, -92, 0, 0, 31, -18, 24, 1, 0, 0, 28, 0, 36, 0, -4, 27, 0, -1, 0, 64, 20, 0, 5, 0, 48, -8, 2, -22, 0, 22, 0, -90, -35, 0, -14, 18, 21, 0, 0, -8, 23, 39, 14, 0, 0, 64, -10, 2, 0, 12, 20, 0, 65, 0, -6, 46, 8, 20, 0, 56, -36, -23, -8, 0, 0, 0, -30, 70, 0, -73, 16, -2, 0, 0, 21, 26, 52, 4, 0, 0, -18, -34, -20, 0, 45, -87, 0, -65, 0, -20, 19, -56, -37, 0, -13, 66, -4, 56, 0, 16, 0, -60, 3, 0, 10, 62, -18, 0, 0, -17, -5, 23, 10, 0, 0, -32, 16, 36, 0, 18, 70, 0, 18, 0, -6, 12, -22, 2, 0, -40, -2, 51, 32, 0, -4, 0, -27, -12, 0, 12, -14, 64, 0, 0, -20, 0, -14, -26, 0, 0, 0, -62, 5, 0, -48, 43, 0, -121, 0, 16, -50, 28, -2, 0, -20, 41, -2, 4, 0, -120, 0, 2, 8, 0, 18, -6, -13, 0, 0, 13, 8, -35, 6, 0, 0, 34, -25, 96, 0, 19, 4, 0, 0, 0, 26, 42, 69, 29, 0, 85, 34, -24, 0, 0, -50, 0, 4, 91, 0, -30, -32, 6, 0, 0, -2, -1, -45, -56, 0, 0, 30, 36, -9, 0, 14, 28, 0, 25, 0, -72, -2, -66, 16, 0, 10, 74, 0, -80, 0, 0, 0, -36, 9, 0, -41, -8, -11, 0, 0, -74, -55, 4, -10, 0, 0, 45, -16, -6, 0, 70, -12, 0, 22, 0, -37, -10, 11, 64, 0, 12, 20, -15, 3, 0, -3, 0, 51, -24, 0, 0, 12, 90, 0, 0, 32, 41, 3, 2, 0, 0, -6, 42, -47, 0, -22, 87, 0, -84, 0, -1, -24, -16, 7, 0, 16, 20, -33, -74, 0, -5, 0, 6, -11, 0, 1, 84, -14, 0, 0, 0, 39, 72, 0, 0, 0, 12, 10, -72, 0, -33, 30, 0, -24, 0, 4, -22, 20, 12, 0, 10, -21, 4, -5, 0, -12, 0, 0, 16, 0, -72, -5, -65, 0, 0, 0, 18, -30, 48, 0, 0, 9, 88, 16, 0, 8, 0, 0, 78, 0, -32, -33, 37, -25, 0, 11, 56, -10, 10, 0, 18, 0, 56, 32, 0, 50, -78, 6, 0, 0, 4, 10, 10, -22, 0, 0, 8, -40, 33, 0, -19, 36, 0, -32, 0, -16, 11, -1, 10, 0, 82, -8, 30, 46, 0, -24, 0, -8, 4, 0, -48, -53, -21, 0, 0, 55, -19, 28, -104, 0, 0, 2, 13, -40, 0, -10, 10, 0, 12, 0, 57, -3, -110, 17, 0, -72, 4, 0, 31, 0, 5, 0, 0, -2, 0, -25, 58, 4, 0, 0, 40, -46, 32, -3, 0, 0, 66, 8, 22, 0, 48, 1, 0, 72, 0, -14, 110, 4, 25, 0, -36, 0, -44, -14, 0, 0, 0, 11, -57, 0, 58, -4, -40, 0, 0, 0, -96, 10, -35, 0, 0, -2, -12, 1, 0, 23, -44, 0, 8, 0, -50, -24, 52, 2, 0, -20, 11, 35, -3, 0, 63, 0, -18, 2, 0, 3, -24, 25, 0, 0, -132, -6, 24, 5, 0, 0, 49, 14, 0, 0, -4, 30, 0, -6, 0, -28, 19, 40, 0, 0, 115, -24, 2, 24, 0, -21, 0, 68, -4, 0, -24, -55, 104, 0, 0, -39, -57, 2, 74, 0, 0, -40, -64, -2, 0, 34, 9, 0, -16, 0, -74, 0, 30, 5, 0, 2, -88, 42, 4, 0, -33, 0, -143, 28, 0, 5, 10, 20, 0, 0, 2, -6, 20, 11, 0, 0, 6, 6, -91, 0, -12, -4, 0, 45, 0, 0, 37, -62, -48, 0, 102, -22, -36, -44, 0, 36, 0, -24, 32, 0, -20, -12, 120, 0, 0, 10, -24, 24, 45, 0, 0, 52, -5, -48, 0, 4, 125, 0, -3, 0, 18, -9, -66, 12, 0, 16, 77, 22, 20, 0, -4, 0, 32, -5, 0, 5, -7, 0, 0, 0, -3, 35, 10, 18, 0, 0, -30, 36, 26, 0, -55, -8, 0, 52, 0, 132, 8, -23, 40, 0, -38, 20, 88, -10, 0, -13, 0, -5, 82, 0, 44, 0, -4, 0, 0, -24, -102, -30, 11, 0, 0, 5, -83, -19, 0, 26, -22, 0, 89, 0, 5, -32, -94, -2, 0, 16, -22, -4, -59, 0, 80, 0, -24, 34, 0, -2, 1, -22, 0, 0, 56, -38, -56, 8, 0, 0, -72, -11, 120, 0, 26, 0, 0, 0, 0, -9, -32, -10, 57, 0, -29], "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": "1050.2.i.j", "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], [1], [-1], [1], [1], [0], [-1], [0], [-1], [1], [0], [-2], [1], [-4], [0], [0], [1], [-5], [-1], [-4], [0], [0], [2], [5], [-1], [0], [4], [1], [0], [-6], [0], [-11], [-1], [-2], [5], [0], [1], [8], [4], [-4], [0], [5], [0], [0], [-2], [0], [-5], [-1], [1], [0], [0], [-5], [-4], [12], [-1], [0], [0], [-4], [6], [-2], [0], [10], [11], [0], [1], [0], [2], [0], [-5], [5], [0], [-1], [-1], [2], [-8], [0], [-4], [0], [4], [9], [0], [1], [-5], [6], [0], [0], [0], [-6], [2], [11], [0], [0], [5], [-11], [1], [0], [-1], [-1], [0], [-2], [0]]}