# Stored data for newform 7350.2.a.bx, downloaded from the LMFDB on 19 April 2024.
{"label": "7350.2.a.bx", "space_label": "7350.2.a", "level": 7350, "weight": 2, "hecke_orbit": 50, "hecke_orbit_code": 220676381774716086, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 973917376193581500, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[11, [0, 1]], [13, [-2, 1]], [17, [-2, 1]], [19, [-2, 1]], [23, [8, 1]], [31, [-4, 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": "0.022", "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": "0.008", "prec": 17}, {"__RealLiteral__": 0, "data": "0.993", "prec": 17}, {"__RealLiteral__": 0, "data": "0.019", "prec": 17}, {"__RealLiteral__": 0, "data": "1.963", "prec": 17}, {"__RealLiteral__": 0, "data": "0.041", "prec": 17}, {"__RealLiteral__": 0, "data": "4.883", "prec": 17}], "related_objects": ["EllipticCurve/Q/7350/bx"], "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, 0, -1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, -8, -1, 0, 2, -1, 0, -8, 0, 4, 1, 0, 2, 0, 1, 6, 2, -2, 0, 10, 0, -2, 0, 0, -8, 6, -1, 0, 0, -2, 2, -6, -1, 0, 0, -2, -8, 12, 0, 2, 4, 0, 1, 0, 0, 14, 2, 8, 0, 6, 1, 10, 6, 0, 2, 0, -2, 4, 0, 1, 10, -12, 0, 0, -2, 8, 0, -14, 0, 0, -8, -4, 6, 0, -1, -14, 0, 0, 0, -6, -2, 4, 2, 0, -6, 0, -1, -2, 0, -6, 0, -10, -2, 0, -8, 2, 12, 0, 0, -11, 2, -10, 4, 0, 0, -8, 1, 2, 0, 8, 0, 0, 14, 0, 2, 2, 8, 22, 0, -6, 6, 0, 1, 0, 10, 0, 6, 20, 0, 20, 2, 2, 0, 0, -2, -2, 4, 6, 0, 0, 1, -2, 10, 0, -12, 2, 0, -9, 0, 2, -2, -12, 8, 0, 0, -12, -14, -12, 0, 2, 0, -2, -8, 0, -4, 0, 6, 0, 0, 22, -1, 20, -14, 0, 0, 6, 0, 16, 0, -14, -6, 0, -2, 0, 4, -8, 2, 0, 0, -4, -6, -6, 0, 0, -1, 0, -2, -10, 0, 4, -6, -20, 0, 0, -10, 16, -2, -10, 0, 0, -8, 14, 2, 0, 12, -4, 0, 18, 0, 24, -11, -1, 2, 0, -10, 4, 4, 12, 0, 24, 0, 0, -8, 0, 1, 30, 2, 0, 0, -8, 8, 0, 0, 0, 0, 14, 14, 30, 0, -20, 2, 0, 2, 0, 8, 2, 22, 4, 0, 18, -6, 20, 6, 0, 0, 0, 1, -13, 0, 14, 10, -24, 0, 0, 6, 0, 20, -16, 0, 0, 20, 6, 2, 0, 2, 12, 0, -4, 0, 8, -2, 6, -2, 0, 4, -34, 6, 0, 0, 0, 0, 4, 1, 0, -2, 2, 10, 0, 0, 28, -12, 6, 2, 0, 0, 12, -9, 10, 0, 0, 2, 0, -2, 0, -12, -28, 8, 30, 0, -2, 0, 6, -12, 0, -14, 0, -12, -14, 0, -15, 2, 11, 0, 0, -2, 16, -8, 10, 0, 0, -4, 22, 0, 0, 6, -16, 0, 12, 0, 8, 22, -26, -1, 0, 20, -2, -14, -4, 0, -16, 0, -8, 6, 0, 0, -38, 16, 0, 0, 10, -14, 8, -6, 0, 0, 0, -2, 24, 0, -2, 4, 0, -8, 0, 2, -22, 0, 12, 0, -18, -4, 6, -6, 0, -6, 0, 0, 0, 0, -10, -1, -14, 0, 0, -2, -16, -10, -36, 0, 0, 4, 4, -6, 0, -20, -20, 0, -26, 0, 0, -10, -20, 16, 0, -2, 32, -10, -2, 0, -14, 0, 4, -8, 0, 14, -36, 2, 0, 0, 2, 12, 0, -4, 0, 0, -6, 18, 24, 0, 12, 24, 0, -11, 0, -1, 32, 2, 2, 0, -4, -10, -16, 4, 0, 4, 0, 12, -12, 0, -2, 24, 26, 0, 0, 0, 9, -8, 14, 0, 0, 1, -2, 30, 0, 2, 0, 0, 12, 0, 18, -8, -4, 8, 0, 0, 8, 0, 41, 0, 12, 0, 20, 14, 0, 14, 12, 30, 0, 0, -30, -20, -2, 2, 0, 0, -26, 2, 2, 0, -16, 8, 0, 2, 0, 22, -18, 4, -4, 0, 0, 18, 24, -6, 0, 20, 0, 6, 10, 0, 4, 0, -22, 0, 0, 1, -26, -13, -20, 0, 0, 14, 0, 10, 0, -24, 0, 0, 8, 0, -6, 6, -14, 0, 0, 20, -16, -16, -34, 0, 8, 0, 14, 20, 0, 6, -12, 2, 0, 0, 12, 2, -10, 12, 0, 0, 6, -4, -22, 0, 8, 8, 0, -2, 0, 6, 0, -2, 12, 0, -24, 4, 4, -34, 0, 6, 0, 0, 6, 0, -42, 0, -36, 0, 0, 4, 14, 1, 0, 0, 0, -2, -14, 2, 0, 10, 10, 0, 16, 0, -22, 28, -4, -12, 0, 6, 64, 2, 20, 0, 0, 0, 20, 12, 0, -9, -12, 10, 0, 0, -16, 0, -24, 2, 0, 0, 10, -2, -12, 0, 34, -12, 0, -28, 0, 8, 20, 30, -14, 0, -8, -2, 12, 0, 0, 6, 0, -12, 26, 0, 4, -14, -32, 0, 0, -12, -18, -14, 8, 0, 0, -15, -24, 2, 0, 11, 36, 0, 1, 0, -4, -2, 2, 16, 0, -8, 0, 10, -4, 0, -4, 0, 32, -4, 0, 22, -12, 0, 0, 0, -24, 6, -24, -16, 0, 0, -34, 12, 0, 0, -34, 8, 0, 22, 0, -26, 24, -1, -20, 0, -30, 20, -24, -2, 0, -14, 0, -4, 20, 0, 0, -16, 8, 0, 0, -8, -28, 6, 0, 0, 0, 0, 4, -38, 0, 16, -20, 0, 12, 0, -14, 10, 0, -14, 0, 8, -30, -6, 18, 0, 22, 0, 20, 0, 0, -2, -4, 24, 0, 0, 0, -2, 4, 4, 0, 0, 12, -8, 22, 0, -2, 2, 0, -22, 0, 0, -4, 12, 24, 0, 35, -18, -18, -4, 0, 6, 0, -6, -20, 0, -48, -6, 10, 0, 0, 0, -10, 0, 42, 0, 0, -10, -32, -1, 0, -14, 13, 0, 0, 0, 28, -2, -14, -16, 0, -10, 42, -36, 24, 0, -18, 0, -10, 4, 0, 4, -30, -6, 0, 0, 0, -20, 12, -20, 0, 0, 16, -26, -32, 0, -12, 0, 0, -10, 0, -20, 38, 16, -6, 0, 22, -2, 0, 32, 0, -10, 0, -2, -16, 0, -12, -14, 12, 0, 0, 4, 4, -8, 22, 0, 0, 14, -8, -36, 0, 2, -42, 0, -6, 0, 14, 2, -80, 12, 0, 0, -24, -4, 20, 0, 34, 0, -34, -6, 0, 18, 0, 24, 0, 0, -15, 12, 0, 24, 0, 0, -32, -11, -4, 0, 0, -1, 0, 32, 0, 2, -34, 2, 0, 0, -2, -4, -18, -10, 0, -16, 0, 4, 16, 0, 16, 4, -28, 0, 0, 12, -6, -12, -6, 0, 0, -2, 24, 24, 0, 26, -12, 0, -26, 0, -12, 0, -28, 9, 0, -8, -10, 14, -40, 0, 42, 0, 0, 1, 0, -2, 8, 30, 0, 0, 10, 2, 36, 0, 0, 0, 4, 12, 4, 0, 28, 18, 0, -8, 0, -4, -30, 8, 30, 0, 20, 0, 2, 8, 0, 0, 0, 41, -6, 0, 4, 12, -44, 0, 0, 20, 0, 14, -50, 0, 0, 14, -48, 12, 0, 30, 14, 0, -24, 0, -48, -30, 15, -20, 0, -2, 28, 2, -11, 0, -52, 0, -58, -26, 0, 2, -14, 2, 0, 0, -16, -16, 0, 8, 0, 0, -10, 2, -46, 0, 0, 22, 0, -18, 0, 4, 38, -4, -22, 0, 24, 0, 44, 18, 0, 24, 0, -6, -50, 0, 16, 20, 0, 0, 0, 6, -12, 10, 28, 0, 0, 4, -8, 0, 0, -22, 24, 0, 26, 0, -24, 1, 34, -26, 0, -13, -28, -20, 4, 0, 2, 0, -24, 14, 0, 0, 4, 10, 0, 0, 36, -24, 16, 0, 0, 0, 0, 8, 8, 0, 30, -6, 0, 6, 0, -14, -32, 0, -80, 0, 38, 20, 26, -16, 0, -16, 0, -34, 0, 0, -10, 8, -10, 0, 0, 14, 12, 20, -8, 0, 0, 6, 58, -12, 0, 2, 22, 0, 48, 0, 0, 12, 30, 2, 0, -10, -24, 12, -28, 0, -40, 0, 2, 6, 0, -4, -2, -22, 0, 0, 20, 8, 0, 8, 0, 0, 16, -2, -68, 0, 22, 6, 0, 0, 0, -2, -12, 12, -40, 0, -28, -24, 18, 4, 0, 4, 0, -34, -6, 0, 40, 6, 28, 0, 0, 0, -8, 6, 68, 0, 0, -42, 12, 0, 0, -36, 0, 0, -50, 0, 18, 4, 10, 14, 0, 1, -12, 0, 14, 0, -22, 0, -56, -2, 0, -14, -28, 2, 0, 0, 16, 10, -12, 10, 0, 0, 36, 16, -64, 0, 52, -22, 0, 28, 0, -4, -32, -12, -4, 0, 0, 6, -8, 64, 0, 2, 0, 20, 8, 0, 20, 0, 8, 0, 0, 20, 26, 12, 12, 0, 0, -9, 0, -12, 0, 10, -96, 0, 20, 0, -30, -16, -48, 0, 0, -24, -32, 2, -1, 0, -32, 0, 34, 10, 0, -2, 2, -12, 0, 0, -22, 34, 14, -12, 0, 0, 20, -28, -4, 0, 0, 8, 0, 20, 0, 30, 0, -14, -24, 0, 36, -8, -16, -2, 0, 12, 0, 0, -46, 0, -24, 6, -2, 0, 0, -12, -4, 26, 0, 0, 0, 4, 28, -14, 0, -32, 24, 0, 26, 0, 6, -12, 62, -18, 0, -14, -24, 8, -42, 0, 0, 0, -12, -15, 0, -24, 24, 2, 0, 0, -68, 11, -30, 36, 0, 0, 24, 1, -22, 0, -32, -4, 0, -2, 0, 2, -2, 16, -20, 0, 8, -8, 4, 0, 0, 10, 0, -4, 16, 0, 46, -4, 44, 0, 0, 32, 66, -4, 8, 0, 0, 22, 62, -12, 0, 0, 12, 0, -60, 0, 8, -24, 2, 6, 0, -24, 0, -16, -26, 0, 8, 0, -28, -34, 0, 12, 60, 0, 0, 0, -9, -34, 48, 8, 0, 0, -14, 22, 0, 0, -62, -26, 0, 24, 0, -1, 48, -20, 2, 0, -112, -30, -16, 20, 0, -24, 0, -2, 26, 0, 0, -14, -22, 0, 0, -4, -12, 20, 24, 0, 0, 0, -18, -16, 0, 8, 76, 0, 4, 0, 0, -8, -22, -28, 0, 6, -24, 0, -52, 0, -8, 0, -24, 0, 0, 4, -41, -38, 0, 0, -12, 16, -12, -20, 0, 0, -54, 12, -20, 0, -14, -14, 0, 10, 0, 0, 32, -14, -20, 0, -12, 8, 0, -30, 0, -6, 0, 18, 60, 0, 46, 22, 30, 0, 0, 20, 76, 0, 2, 0, 0, -2, -48, -4, 0, 24, -48, 0, 0, 0, 26, 0, -24, -2, 0, 4, -2, 4, -28, 0, -16, 0, 16, 12, 0, -8, 26, 22, 0, 0, 0, -2, 4, 2, 0, 0, -4, -22, -62, 0, 18, 0, 0, -4, 0, 12, 4, 24, -80, 0, 59, 35, 0, -18, 0, -18, 0, -4, -24, 0, -28, 6, 6, 0, 0, -6, -66, -20, -38, 0, 0, -48, 16, -6, 0, 10, -10, 0, 12, 0, -96, 0, -4, -10, 0, 0, -12, 42, 22, 0, 18, 0, 50, -10, 0, -32, 0, -1, 0, 0, 26, -14, 46, 13, 0, 0, 20, 0, 36, 0, -22, 28, 0, -2, 0, -14, 2, -16, 0, 0, 8, -10, -74, 42, 0, -36, 0, 24, -4, 0, 0, -18, -20, 0, 0, -10, -8, 4, -16, 0, 0, 4, 6, -30, 0, -6, -34, 0, 14, 0, 4, 0, 32, -20, 0, 12, -64, -20, -22, 0, 16, 0, 0, 16, 0, -26, 34, -32, 0, 0, 50, -12, -8, 0, 0, 0, 44, -10, -14, 0, 12, -20, 0, 38, 0, 16, -32, -6, 0, 0, 12, 22, 70, -2, 0, 0, 0, 32, 48, 0, 20, -10, -12, 0, 0, -2, 0, -16, 10, 0, 0, -12, -28, -14, 0, 12, 18, 0, -39, 0, -6, 4, -4, 4, 0, -8, 22, 22, 0, 0, -50, 0, -8, 14, 0, -8, 68, -36, 0, 0, -62, 2, 16, -42, 0, 0, -30, -6, -28, 0, 0, 14, 0, 2, 0, -80, -12, 12, -26, 0, 8, 0, 24, -24, 0, -4, 0, 20, -4, 0, 36, 34, 0, 0, 0, -34, 48, -6, 96, 0, 0, 18, -26, 0, 0, 24, -6, 0, -12, 0, -20, -15, 42, 12, 0, 0, 60, 24, 36, 0, 0, 0, 18, -32, 0, -11, 40, -4, 0, 0, -14, 0, -112, -1, 0, 0, 0, 32, -42, 0, 20, 2, 0, -34, 0, 2, 8, 0, 14, 0, -36, -2, 40, -4, 0, -18, 0, -10, 0, 0, -10, -16, -40, 0, 0, 4, -16, 16, -48, 0, 0, 16, 22, 4, 0, -28, -4, 0, 4, 0, 0, 12, 70, -6, 0, -12, 82, -6, 88, 0, -64, 0, 24, -2, 0, 24, -20, 24, 0, 0, -12, 26, 0, -12, 0, 0, -8, -26, -20, 0, -12, -12, 0, 0, 0, -28, 16, 9, -14, 0, 12, -8, 0, -10, 0, 14, 0, -40, 14, 0, -4, 42, 16, 0, 0, 0, 112, 1, 24, 0, 0, -2, -26, 8, 0, 30, -22, 0, -48, 0, -10, 10, 22, 2, 0, 36, 12, 0, -48, 0, -4, 0, -34, 4, 0, 12, 56, 4, 0, 0, 82, 28, -10, 18, 0, 0, 8, -8, 68, 0, -20, -4, 0, -30, 0, 8, 14, 30, -28, 0, 0, 20, 8, 0, 0, 2, 0, 8, -12, 0, -62, 0, -14, 0, 0, 41, -80, -6, -4, 0, 0, 4, 0, 12, 0, -44, -26, 0, -66, 0, 50, 20, -4, 0, 0, 14, 68, -50, 32, 0, 18, 0, 56, 14, 0, -48, -20, 12, 0, 0, 18, 30, -62, 14, 0, 0, -8, -24, -16, 0, -48, -48, 0, -30, 0, 15, 0, -20, 24, 0, 4, -2, -60, 28, 0, 2, 0, -11, 36, 0, -36, -52, 72, 0, 0, -58, -1, -26, 0, 0, 0, 2, 4, -14, 0, 2, -44, 0, -2, 0, 24, -16, -12, -16, 0, 0, 24, 8, -11, 0, 0, 0, 34, -10, 0, 2, 4, -46, 0, 0, -10, 0, 4, 22, 0, 0, 16, -18, -32, 0, 112, 4, 0, 38, 0, -4, 66, -22, 72, 0, 12, 24, -44, 0, 0, 44, 0, 18, -24, 0, -12, 24, 24, 0, 0, -6, 12, -50, 24, 0, 0, 16, 40, 20, 0, 0, 68, 0, 50, 0, 34, 6, 2, -12, 0, 10, 0, 28, 12, 0, -28, 0, 34, 4, 0, -8, -56, 0, 0, 0, -32, -22, -82, 24, 0, 0, -2, 26, -22, 0, -24, -24, 0, 1, 0, 34, 20, -26, -70, 0, 72, -13, 30, -28, 0, -20, 0, 4, 24, 0, 0, 2, 48, 0, 0, -24, -24, 14, 4, 0, 0, 0, -66, 4, 0, 10, -20, 0, -4, 0, 30, 36, 0, -24, 0, 16, 10, 0, -8, 0, 72, 0, 4, 0, 0, 8, 56, 8, 0, 0, 28, 30, 44, -6, 0, 0, 0, 6, -32, 0, -66, -14, 0, -32, 0, 0, -16, -80, -4, 0, -48, 38, -64, 20, 0, 26, 0, -16, -86, 0, 20, -16, -42, 0, 0, -34, -12, 0, -72, 0, 0, -10, 14, 8, 0, -10, 96, 0, 0, 0, -44, 14, -16, 12, 0, 20, 62, -8, 120, 0, 30, 0, -24, 6, 0, 58, -18, -12, 0, 0, 0, 2, -22, 22, 0, 0, -34, 48, -20, 0, 78, 0, 0, 12, 0, 30, -72, 2, 16, 0, 4, -10, 0, -24, 0, 12, 0, -28, -16, 0, 0, -40, 0, 0, 0, 2, -28, 6, -4, 0, 0, -4, -8, -2, 0, -22, 56, 0, 84, 0, -12, 20, 44, 8, 0, 0, -22, 8, 16, 0, -36, 0, 2, 16, 0, -2, 0, -68, 0, 0, 20, 22, 52, 6, 0, 0, 16, 0, 40, 0, 4, -2, 0, -12, 0, 12, -24, -40, 0, 0, -26, -28, -35, -24, 0, 18, 0, 4, 18, 0, -72, 4, 40, 0, 0, -34, -24, -6, 66, 0, 0, 40, -24, 6, 0, 28, 20, 0, 16, 0, -44, 0, 48, -8, 0, 6, -62, 68, -10, 0, 12, 0, 0, -42, 0, 12, 40, 0, 0, 0, 10, -36, -48, 0, 0, 0, -42, -50, 24, 0, 112, 18, 0, 4, 0, 10, 32, 14, 32, 0, -30, 1, 34, -12, 0, 0, 0, 14, 80, 0, -13, -22, 4, 0, 0, -56, 0, -2, 26, 0, 0, -14, -28, -28, 0, 2, -26, 0, 14, 0, -42, 16, -4, 10, 0, -12, 36, 10, 0, 0, -42, 0, 62, 36, 0, 16, -24, -64, 0, 0, 44, 52, 18, -22, 0, 0, 0, 28, 10, 0, 0, -4, 0, -32, 0, -12, -22, -4, -50, 0, 30, 0, 54, 6, 0, -8, 0, 64, -4, 0, -12, 2, 0, 0, 0, 20, -78, 8, -12, 0, 0, 20, 14, 0, 0, 8, -38, 0, 82, 0, -16, 20, -36, 26, 0, 12, 32, 12, 0, 0, 60, 0, 12, -9, 0, 0, 44, -12, 0, 0, -90, 10, 64, -96, 0, 0, 0, 20, 0, 0, -38, -30, 0, -16, 0, -48, 6, 0, 30, 0, -44, -24, -22, -32, 0, 2, 0, -1, 0, 0, 84, -32, -8, 0, 0, 34, 140, 10, -10, 0, 0, -2, 78, 2, 0, -12, 16, 0, -56, 0, 0, -22, 12, 34, 0, 14, -92, -12, -12, 0, -4, 0, 72, 20, 0, -28, 18, -4, 0, 0, -4, 0, 88, 8, 0, 0, -22, 20, 38, 0, 8, 30, 0, 0, 0, -14, -22, -24, 8, 0, -34, 36, 28, -8, 0, -16, 0, -2, -17, 0, 42, 12, 112, 0, 0, 0, 6, -46, -60, 0, 0, -24, -14, 6, 0, -2, 0, 0, 80, 0, 40, -12, 62, -4, 0, 26, -42, 0, 4, 0, 24, 0, -84, 4, 0, 28, -20, -14, 0, 0, 92, -32, -34, 24, 0, 0, 60, 26, 34, 0, -46, 6, 0, -12, 0, 62, 12, -18, 40, 0, 0, -14, -18, -24, 0, 8, 0, -42, -78, 0, -28, 0, 15, 0, 0, -12, -8, -15, 0, 0, 0, -24, 0, 24, 0, 2, -2, 0, -40, 0, 32, -68, 66, 11, 0, -30, 4, 36, -12, 0, 60, 0, 0, 24, 0, 1, -14, -22, 0, 0, 64, -32, 24, -4, 0, 0, -88, -2, 48, 0, 34, 2, 0, -2, 0, 16, 0, -20, 40, 0, -24, 8, 2, -8, 0, 4, 0, 0, 18, 0, 32, 10, 70, 0, 0, -4, -80, 16, 0, 0, 0, 46, 60, -4, 0, 44, -16, 0, -26, 0, -2, 32, -16, 66, 0, -4, -20, 8, 28, 0, 0, 0, -4, 22, 0, 62, -32, -12, 0, 0, 6, 0, 100, 12, 0, 0, 6, -60, 64, 0, -64, 8, 0, -24, 0, 2, -56, 6, -24, 0, -96, -24, -64, 0, 0, -16, 0, -26, -20, 0, 12, 8, 22, 0, 0, -28, 26, -34, 28, 0, 0, 12, 12, 60, 0, 0, -58, 0, 28, 0, -22, -9, -24, -34, 0, 48, 0, 8, -26, 0, 10, 0, -12, -14, 0, 22, 40, 0, 0, 0, -34, -62, -42, -26, 0, 0, -22, 24, 0, 0, -72, -1, 0, 48, 0, -20, 4, 2, 76, 0, -8, -112, -24, -30, 0, -16, 0, 20, -6, 0, 0, -24, -10, 0, 0, -2, -4, 26, -36, 0, 0, 0, 0, -14, 0, -22, 36, 0, 106, 0, -4, -4, 0, -12, 0, 20, -4, 24, 26, 0, 52, 0, -28, 0, 0, -18, -72, -16, 0, 0, -24, 8, 48, 76, 0, 0, 90, 4, -20, 0, 30, 0, 0, -8, 0, -22, -30, -28, 84, 0, -16, 6, -20, -24, 0, 0, 0, -52, -2, 0, 16, -8, 68, 0, 0, -24, -50, 0, -84, 0, 0, 4, 4, -41, 0, -38, 6, 0, 0, 0, 66, -12, -4, 16, 0, -12, -110, -20, 44, 0, 48, 0, 16, -54, 0, 12, -176, -20, 0, 0, 0, -14, -60, -14, 0, 0, 50, 10, 90, 0, -18, 0, 0, 32, 0, -14, -4, -20, 48, 0, -36, -12, 0, 8, 0, 0, 0, -30, 38, 0, -14, -6, -12, 0, 0, 18, 24, 60, 40, 0, 0, 46, 48, 22, 0, 30, 44, 0, -15, 0, 16, 20, 22, 76, 0, 0, -10, 2, 28, 0, -28, 0, 48, -2, 0, -48, 11, -4, 0, 0, 4, 24, 52, -48, 0, 0, 80, 0, 58, 0, 40, 26, 0, 0, 0, -24, -24, -2, 0, 0, 14, 4, -84, -2, 0, 4, 0, -28, -24, 0, -10, -16, 16, 0, 0, 16, -68, 12, 0, 0, 0, -8, -4, 26, 0, 22, 0, 0, -76, 0, 10, 0, -44, -2, 0, 4, 46, 2, -50, 0, -10, 0, 0, -4, 0, -22, 36, -62, 0, 0, 60, 18, 12, 0, 0, 0, -12, -4, 12, 0, -38, 12, 0, 4, 0, 24, 22, -80, 48, 0, 66], "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": "1470.2.g.c", "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], [0], [-1], [2], [0], [0], [1], [2], [1], [2], [0], [0], [0], [-8], [-1], [0], [2], [-1], [0], [-8], [0], [4], [1], [0], [2], [0], [1], [6], [2], [-2], [0], [10], [0], [-2], [0], [0], [-8], [6], [-1], [0], [0], [-2], [2], [-6], [-1], [0], [0], [-2], [-8], [12], [0], [2], [4], [0], [1], [0], [0], [14], [2], [8], [0], [6], [1], [10], [6], [0], [2], [0], [-2], [4], [0], [1], [10], [-12], [0], [0], [-2], [8], [0], [-14], [0], [0], [-8], [-4], [6], [0], [-1], [-14], [0], [0], [0]]}