# Stored data for newform 7350.2.a.cf, downloaded from the LMFDB on 24 April 2024.
{"label": "7350.2.a.cf", "space_label": "7350.2.a", "level": 7350, "weight": 2, "hecke_orbit": 58, "hecke_orbit_code": 256705178793680054, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2208552971194759583, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[11, [-6, 1]], [13, [6, 1]], [17, [0, 1]], [19, [4, 1]], [23, [0, 1]], [31, [-2, 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": "0.026", "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": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.971", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.901", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.652", "prec": 17}], "related_objects": ["EllipticCurve/Q/7350/cf"], "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, 6, -1, -6, 0, 0, 1, 0, 1, -4, 0, 0, 6, 0, -1, 0, -6, -1, 0, -8, 0, 2, 1, -6, 0, 0, 1, -4, -4, 6, 0, -10, 0, 6, 6, 0, 0, 2, -1, 0, 0, 0, -6, -10, -1, 0, 0, 4, -8, -4, 0, 14, 2, 0, 1, 0, -6, -14, 0, 0, 0, 8, 1, -6, -4, 0, -4, 0, 6, -8, 0, 1, -10, 8, 0, 0, 6, 8, 6, -18, 0, 0, 0, -2, 2, 0, -1, -2, 0, 6, 0, -14, 0, 12, -6, 0, -10, -4, -1, 6, 0, 4, 0, -6, 4, 0, -8, -6, -4, 0, 0, 25, 14, 10, 2, 0, 0, -4, 1, -6, 0, 12, -6, 0, -14, 0, 0, -10, 0, 8, 0, -2, 8, -36, 1, 0, -6, 0, -4, 0, 0, -8, -4, 0, 0, 0, 6, 14, -8, 10, 0, 0, 1, -2, -10, 0, 8, 18, 0, 23, 0, -4, 6, 6, 8, 0, 6, 4, -18, 2, 0, 10, 0, -14, 0, 0, -2, 0, 2, 0, 0, -20, -1, -22, -2, 0, 0, -6, 6, -18, 0, 14, -14, 0, 0, 0, 12, 0, -6, -24, 0, 12, -10, -8, -4, 0, -1, 0, 6, 6, 0, 0, 4, -16, 0, 0, -6, -20, 4, -14, 0, 0, -8, 10, -6, 0, -4, 8, 0, -4, 0, -28, 25, -1, 14, 0, 10, 24, 2, -8, 0, -20, 0, 0, -4, 0, 1, 8, -6, 0, 0, -8, 12, 32, -6, 0, 0, 18, -14, 22, 0, -18, 0, 0, -10, 0, 0, 8, 8, 2, 0, 6, -2, -28, 8, 0, -36, 0, 1, -17, 0, 2, -6, -22, 0, 0, -4, -6, 0, 0, 0, 0, -8, 14, -4, 0, 0, 20, 0, -12, 0, -12, 6, -26, 14, 0, -8, -10, 10, -48, 0, 4, 0, 0, 1, 0, -2, -6, -10, 0, 0, -20, 8, -4, 18, 0, 0, 26, 23, 6, 0, 12, -4, 0, 6, 0, 6, 28, 8, 2, 0, 6, 6, -4, 4, 0, -18, 0, 2, -24, 0, -3, 10, -25, 0, 0, -14, 4, 0, -10, 0, 0, -2, 8, 0, 0, 2, 48, 0, 16, 0, 4, -20, 14, -1, 0, -22, 6, -2, 24, 0, 0, 0, -12, -6, 0, 6, 14, -18, 0, 0, 2, 14, -12, -14, 0, 0, -24, 0, -16, 0, 10, 12, 0, 0, 0, -6, -8, -24, 12, 0, -34, 12, 2, -10, 0, -8, 0, -4, 36, 0, 0, -1, -18, 0, 0, 6, 0, 6, 10, 0, 0, 0, 12, 4, 0, -16, 0, 0, -10, 0, -60, -6, 8, -20, 0, 4, -38, -14, 0, 0, -2, 0, -8, -8, 0, 10, 0, -6, 0, 0, -14, -4, 36, 8, 0, 0, -10, -4, -36, 0, 24, -28, 0, 25, 0, -1, -12, 14, 2, 0, -22, 10, 0, 24, 0, 2, 0, -8, -32, 0, -18, -20, -6, 0, 0, 0, -23, -4, 34, 0, 0, 1, 4, 8, 0, -6, 12, 0, -6, 0, -2, -8, 44, 12, 0, 32, 0, -6, -23, 0, -4, 0, 60, 18, 0, -14, -2, 22, 0, 0, 18, -18, -10, 0, 0, 0, -30, -10, 14, 0, 32, 0, 0, 8, 0, 8, -2, 2, -36, 0, 0, 6, -24, -2, 0, -28, 0, 8, 26, 0, -4, -36, 20, 0, 0, 1, 14, -17, 22, 0, 0, 2, -60, -6, 0, -22, -32, 0, -8, 0, 6, -4, 16, -6, 0, 0, 18, 0, 44, 0, 12, 0, -14, -8, 0, 14, 40, -4, 0, 0, -12, 0, -36, 20, 0, 0, -42, -12, 20, 0, 0, -12, 0, 6, 0, -26, 24, 14, 0, 0, -40, -8, -12, -10, 0, 10, 0, -48, 8, 0, 18, 4, 4, 0, 0, 0, 46, 1, -24, 0, 0, -2, -14, -6, 0, -10, -6, 0, -6, 0, -18, -20, 0, 8, 0, -4, 0, 18, 16, 0, 84, 0, 14, 26, 0, 23, 22, 6, 0, 0, 20, 12, 24, -4, 0, 0, 14, 6, 60, 0, 40, 6, 0, 28, 0, 8, 0, 2, -10, 0, 24, 6, 16, 6, 0, -4, 0, 4, 2, 0, -8, -18, 0, 0, 0, 2, 4, -24, -16, 0, 0, -3, 28, 10, 0, -25, 32, 0, 1, 0, 0, -14, 46, 4, 0, 0, -84, -10, -40, 0, -24, 0, 0, -2, 0, 8, 8, 0, 0, 0, 40, 2, 20, 48, 0, 0, 40, 16, 0, 0, -6, 4, 0, -20, 0, 14, 24, -1, 40, 0, -8, -22, 26, 6, 0, -2, 0, 24, 40, 0, 48, 0, 8, 0, 0, -12, -20, -6, -32, 0, 0, 6, -84, 14, 0, -18, -18, 0, 0, 0, -18, 2, -36, 14, 0, -12, -22, -14, -18, 0, -16, 0, 18, -24, 0, 0, -24, -16, 0, 0, 0, 10, 24, 12, 0, 0, 24, 0, 22, 0, -8, -6, 0, -8, 0, -24, -2, 12, -44, 0, 35, -34, -6, 12, 0, 2, 0, -10, 28, 0, 0, -8, 22, 0, 0, -4, 0, 36, 16, 0, 0, 0, 32, -1, 0, -18, 17, 0, -48, 0, 84, 6, -2, 0, 0, 6, 32, 10, 22, 0, 18, 0, -14, 0, 0, 12, -26, 4, 0, 0, 6, -16, -8, 0, 0, 0, 0, -10, -16, 0, 0, -60, 0, -6, 0, 8, 10, -20, -14, 0, 12, 4, 48, -38, 0, -14, 0, 0, -8, 0, -20, -2, -48, 0, 0, -8, 12, -8, 42, 0, 0, 10, 12, 0, 0, -6, -30, 0, 26, 0, 2, -14, 0, -4, 0, 36, 48, 8, 36, 0, 10, 0, 6, -10, 0, -4, 48, -36, 0, 0, -27, 24, -4, -28, 0, 0, 48, 25, 0, 0, -4, -1, 0, -12, 0, 14, -54, 2, -108, 0, 6, -22, 42, 10, 0, 0, 0, 24, 0, 0, 8, 2, 20, 0, 0, -8, -42, -32, 4, 0, 0, -18, 0, -20, 0, -6, 40, 0, 46, 0, -26, 0, -18, -23, 0, -4, -6, 34, 6, 0, 2, 0, -12, 1, 0, 4, 48, 8, 0, 0, 4, -6, -54, 12, 0, 0, 0, -6, 22, 0, -28, -2, 0, -8, 0, 44, -2, 12, 42, 0, -56, 32, -6, 0, 0, -6, 0, -23, 4, 0, 24, -4, -24, 0, 0, 60, -12, 18, 6, 0, 0, -14, 32, -2, 0, 22, 24, 0, -48, 0, 0, 18, 3, -18, 0, -10, 20, 0, 25, 0, 12, 0, 16, -30, 0, -10, -24, 14, 0, 0, -4, 32, -40, 0, 0, 0, 10, 8, -18, 0, -84, 8, 0, -2, 0, 2, 44, -36, -8, 0, 16, 0, -4, 6, 0, -24, 0, -2, -38, 0, -48, -28, 72, 0, 0, 8, -16, 26, 0, 0, 0, -4, -4, -36, 0, 20, -8, 0, -14, 0, 0, 1, -2, 14, 0, -17, 108, 22, -56, 0, -6, 0, -36, 2, 0, -60, -24, -6, 0, 0, 0, -22, 0, -32, 0, 0, -24, -8, 12, 0, 6, 6, 0, -4, 0, 16, 8, -6, 80, 0, -14, 0, 40, 18, 0, 0, 0, 44, 36, 0, -34, 12, -2, 0, 0, -14, 0, -8, 12, 0, 0, 14, -4, 40, 0, -4, 0, 0, 0, 0, 24, -12, -10, 0, 0, -36, 16, 20, 4, 0, 38, 0, -10, -42, 0, -12, -22, 20, 0, 0, 0, 0, -36, -12, 0, 0, -48, 6, 64, 0, 8, -26, 0, 24, 0, 14, -12, 0, 4, 0, 12, -40, 34, -8, 0, -12, 0, -10, -2, 0, -20, 10, 56, 0, 0, -48, -22, 8, -50, 0, 0, 18, -16, 4, 0, 4, -36, 0, 50, 0, 8, 0, 0, 46, 0, 1, -2, -24, 18, 0, 22, 0, -32, -2, 0, -14, -24, -6, 0, 0, 0, -10, 84, -6, 0, 0, -10, -6, -44, 0, 0, -18, 0, -20, 0, 0, -60, 8, -12, 0, 84, -4, 12, 0, 0, 18, 0, 16, -72, 0, 0, 84, 0, 0, 0, 14, 10, 26, -32, 0, 0, 23, 60, 22, 0, 6, 0, 0, -8, 0, -50, 20, -16, 12, 0, 24, 24, -4, -21, 0, 38, 0, 18, 14, 0, 6, 0, 60, 0, 0, 58, 40, 2, 6, 0, 0, 24, 28, 8, 0, 24, 8, 0, 0, 0, 2, -24, -10, -10, 0, 0, 24, 0, 6, 0, 16, 0, 6, -10, 0, 0, -4, 14, 0, 0, 4, -36, 2, -36, 0, 0, -8, 28, -18, 0, 0, -64, 0, 18, 0, 10, 2, 24, 4, 0, -24, 36, -16, 12, 0, 72, 0, -24, -3, 0, 28, -32, 10, 0, 0, -46, -25, 12, 32, 0, 0, 4, 1, -44, 0, 12, 0, 0, -14, 0, 46, -2, 4, 36, 0, 24, 0, 22, -84, 0, -10, 0, -40, 0, 0, -22, -24, 68, 0, 0, 0, -42, -2, 64, 0, 0, 8, 18, 8, 0, 0, 32, 0, 34, 0, 32, 40, 18, 2, 0, 20, -60, 48, 6, 0, 44, 0, 0, 40, 0, 16, 40, 0, 0, 0, 23, -6, 4, 4, 0, 0, -34, -20, 48, 0, 28, 14, 0, 24, 0, -1, 80, 40, -4, 0, 0, -8, -64, -22, 0, 26, 0, 6, -46, 0, -12, -2, 52, 0, 0, 24, 6, 40, 24, 0, 0, 48, 2, 0, 0, 8, -8, 0, -44, 0, 60, -12, -150, -20, 0, -6, -32, -32, 4, 0, 0, 0, 32, 6, 0, -84, 23, 14, 0, 0, -24, -18, 4, -18, 0, 0, 0, 0, -60, 0, -50, -18, 0, 2, 0, -36, 8, 14, -4, 0, 2, -12, 66, -22, 0, -14, 0, -18, -6, 0, 38, -16, -18, 0, 0, 18, -44, -24, 10, 0, 0, 0, 0, -24, 0, -16, -30, 0, 0, 0, 30, 0, -20, 10, 0, 24, -14, 12, 0, 0, 24, 0, -32, 24, 0, 0, 22, 22, 0, 0, -48, -8, -64, -6, 0, 0, 4, -8, -50, 0, 2, -24, 0, -2, 0, 12, 36, -44, 0, 0, 59, 35, 0, -34, 0, -6, 0, 12, 24, 0, 72, 2, 2, 0, 0, -10, -12, 28, -8, 0, 0, 0, -72, -8, 0, 22, -26, 0, 12, 0, 32, -4, 4, 0, 0, 36, 0, 16, -20, 0, -18, 0, 14, 0, 0, 32, 84, -1, 0, 0, -14, -18, 58, 17, 0, 0, -22, -48, -8, 0, 42, 84, 0, 6, 0, -2, 10, 0, 60, 0, 0, 6, 14, 32, 0, 10, 0, 22, 8, 0, 32, 18, -60, 0, 0, -14, 8, 0, -112, 0, 0, 12, -6, -26, 0, 4, 46, 0, -16, 0, 60, 6, -4, -16, 0, -8, 12, 0, -22, 0, -18, 0, -12, 0, 0, -10, -44, -16, 0, 0, -10, 0, -12, -60, 0, 0, -48, -6, 14, 0, -36, 8, 0, 10, 0, -20, 0, -14, 0, 0, -40, 12, -6, 4, 0, 48, 0, -38, -8, 0, 64, -14, 12, 0, 0, 0, 108, -8, 36, 0, 0, -20, 8, -2, 0, -48, 30, 0, -7, 0, 42, -8, 0, 12, 0, -8, -20, 42, 138, 0, -50, 0, 0, 10, 0, 12, 20, 0, 0, 0, -24, -6, -54, -30, 0, 0, 6, 26, -6, 0, -24, 2, 0, -14, 0, 0, 0, -4, 2, 0, 28, 36, 40, 48, 0, 8, 0, 36, 12, 0, -12, 10, 36, 0, 0, 6, -36, -10, 0, 0, 0, -4, -6, 48, 0, -36, -8, 0, 56, 0, 0, -27, -18, 24, 0, -4, -20, -28, -4, 0, -84, 0, 28, 48, 0, 25, 0, 0, 0, 0, -46, -4, 112, -1, 0, 0, 24, -12, -14, 0, -2, 14, 0, -54, 0, 2, -48, -108, 14, 0, 40, 6, 48, -22, 0, 42, 0, 10, 12, 0, 6, 0, 78, 0, 0, 24, 6, 0, 36, 0, 0, 8, 18, 2, 0, 20, 28, 0, 0, 0, 60, -8, -70, -42, 0, -32, -38, 4, 24, 0, 0, 0, 56, -18, 0, 0, -16, -20, 0, 0, 68, -6, -84, 40, 0, 0, -66, 46, -14, 0, 12, -26, 0, 0, 0, -18, -68, -23, 38, 0, -22, -4, 16, -6, 0, 34, 0, 6, 48, 0, -84, 2, -20, 0, 0, -12, 0, 1, -24, 0, 0, 4, 80, 48, 0, 8, 0, 0, -64, 0, -14, 4, -38, -6, 0, -54, -60, 12, -24, 0, -24, 0, -40, 0, 0, -6, -28, 22, 0, 0, 74, -28, 2, -2, 0, 0, 48, -8, 0, 0, 0, 44, 0, -2, 0, 12, 10, 42, 12, 0, -120, -56, -24, 32, 0, -6, 0, 0, -16, 0, 16, -6, -10, 0, 0, -23, 48, 4, 12, 0, 0, 24, -132, -4, 0, -24, -2, 0, 46, 0, 80, 60, 8, -12, 0, 18, 22, 6, 0, 0, -78, 0, 40, -14, 0, 32, 24, -2, 0, 0, -4, 22, -18, 24, 0, 0, 16, -48, 0, 0, -52, 0, 0, 18, 0, 3, -36, -18, -28, 0, -108, -10, 100, 20, 0, 0, 0, 25, 44, 0, -32, 12, 16, 0, 0, 16, -1, -30, -108, 0, 0, -10, 0, -24, 0, 14, -60, 0, -46, 0, 16, -4, -4, 32, 0, -40, 64, 0, -43, 0, 84, 0, -26, 10, 0, 8, 40, -18, 0, 0, -2, -84, 24, 8, 0, 0, 0, -2, 0, 0, 0, 2, 0, 44, 0, -36, -46, -8, 26, 0, -8, 16, -44, 0, 0, -4, 0, 6, -36, 0, -32, -24, -40, 0, 0, -2, -56, -38, -20, 0, 0, -48, -12, -28, 0, 72, -52, 0, -46, 0, -40, 8, -20, -16, 0, 26, 0, 0, -60, 0, -24, 0, 6, -4, 0, -4, -52, -36, 0, 0, 64, 20, -56, -8, 0, 0, 54, -14, -100, 0, -24, 0, 0, 1, 0, -2, -40, 14, -6, 0, 0, -17, 8, 108, 0, 22, 0, -56, -26, 0, 72, -6, 0, 0, 0, -36, -12, 2, 0, 0, 0, -60, 58, -24, 0, -6, -40, 0, -2, 0, 50, 0, -48, -22, 0, 0, -82, -32, -8, 0, 12, 0, -60, -24, 0, -8, 26, 12, 0, 0, 20, 6, 0, 6, 0, 0, 32, -4, 0, 0, 0, 16, 0, 8, 0, -6, -14, 80, 84, 0, -56, -14, -88, 0, 0, 40, 0, 18, 10, 0, 18, 0, 44, 0, 0, 44, 0, 36, 8, 0, 0, -34, 18, 12, 0, -2, -64, 0, 36, 0, -52, -14, 16, 0, 0, -8, 18, 12, 40, 0, 22, 0, 64, 14, 0, -4, 18, 40, 0, 0, 0, -4, 16, 0, 0, 0, -8, 0, -18, 0, -6, 24, 0, -12, 0, -10, -48, 0, -16, 0, 24, -36, -96, 16, 0, 20, 0, 4, 66, 0, 0, 38, 0, 0, 0, -10, -28, -42, -24, 0, 0, -12, -78, -22, 0, 20, 86, 0, 56, 0, -24, 0, 120, 0, 0, -36, -22, -12, -48, 0, -20, 0, 8, -48, 0, 6, -120, 64, 0, 0, -140, 8, 4, -26, 0, 0, 0, 24, 132, 0, 2, 14, 0, -12, 0, 0, 44, 4, -84, 0, -30, 12, -35, -40, 0, 34, 0, -8, 6, 0, 62, -12, 0, 0, 0, -10, -24, -2, 0, 0, 0, -20, 48, 10, 0, 56, -28, 0, 36, 0, 38, -48, 0, -22, 0, 8, -8, -50, -22, 0, 36, 0, 60, 18, 0, -16, 0, 4, 0, 0, 0, 4, 16, -36, 0, 0, -16, 50, 36, 0, 144, 8, 0, 0, 0, 0, 108, 46, -32, 0, 40, 1, 78, -2, 0, -24, 0, 18, 0, 0, -17, 22, 40, 0, 0, -32, 48, -2, 70, 0, 0, -14, -84, -24, 0, -6, -62, 0, 2, 0, -34, 0, 84, -10, 0, 84, -32, -6, -24, 0, -32, 0, -86, -10, 0, -6, -22, -44, 0, 0, -32, 0, -18, -18, 0, 0, 44, -20, 14, 0, -168, 0, 0, -60, 0, 8, 82, -12, -16, 0, 26, 84, 30, -4, 0, 12, 0, 0, 0, 0, -64, 18, -6, 0, 0, 16, 70, -72, 8, 0, 0, 0, -46, 84, 0, 0, -42, 0, -34, 0, 0, 14, -30, 10, 0, 26, 16, -32, -62, 0, 24, 0, 0, 23, 0, 60, -76, 22, 0, 0, 24, 6, 46, 0, 0, 0, 144, -8, -62, 0, -10, -50, 0, 20, 0, -16, 14, 12, 50, 0, -24, 24, -12, 24, 0, -4, 0, -21, -48, 0, -84, 38, -72, 0, 0, 18, 140, 14, -26, 0, 0, 6, -34, 0, 0, 60, 8, 0, -36, 0, -120, 58, 20, 40, 0, 2, -92, 6, 48, 0, 0, 0, -8, 24, 0, 28, -84, 8, 0, 0, -12, 24, 0, 8, 0, 0, -42, 0, -6, 0, -22, 2, 0, -24, 0, -10, -40, -10, -12, 0, 102, 0, -28, 24, 0, 0, 0, 6, 47, 0, 30, 16, 16, 0, 0, 6, -26, -10, 60, 0, 0, 0, -2, -4, 0, 14, 48, 0, 0, 0, 0, 4, 34, -36, 0, 2, -42, -36, 0, 0, -48, 0, -84, -8, 0, 28, -36, -18, 0, 0, 56, 0, -10, -64, 0, 0, -78, 18, -6, 0, 18, 10, 0, 2, 0, 24, 28, 4, 32, 0, -48, -24, 0, 36, 0, -16, 0, 12, 60, 0, -84, 72, 27, 0, 0, -24, -44, -3, 4, 0, 0, 28, 192, -32, 0, 10, -36, 0, 96, 0, -48, -46, 78, -25, 0, 12, 0, 32, -48, 0, -80, 0, 4, 4, 0, 1, 42, -44, 0, 0, 0, 12, 32, 0, 0, 0, -88, -14, 112, 0, 54, 46, 0, -2, 0, 4, 108, 36, -12, 0, 0, 24, -6, 0, 0, 22, 0, -84, -42, 0, 120, -10, -34, 0, 0, -40, -70, 0, 132, 0, 0, -22, 24, -24, 0, 68, 0, 0, 6, 0, -68, 0, -8, -42, 0, -2, 84, 64, -20, 0, -108, 0, -56, 8, 0, 18, -96, 8, 0, 0, 42, 0, 60, 32, 0, 0, -4, 34, -20, 0, -80, 32, 0, 40, 0, 18, -4, 2, 0, 0, 50, 20, 0, -60, 0, 48, 0, 6, -40, 0, -40, 44, -42, 0, 0, 0, -46, 40, -60, 0, 0, 16, 26, 40, 0, 0, -74, 0, 18, 0, -18, 23, 0, -6, 0, 4, 48, 4, 66, 0, 6, 0, 48, -34, 0, -20, -6, 48, 0, 0, -2, 28, -2, 14, 0, 0, 62, 24, 12, 0, -32, -1, 0, 80, 0, 40, 0, -4, 22, 0, -48, 0, -40, -8, 0, -64, 0, -22, -18, 0, 36, 26, -4, 0, 0, 6, 8, -46, 54, 0, 0, -12, 32, -2, 0, 52, 24, 0, -54, 0, 0, 24, -168, 6, 0, 40, -22, 24, -60, 0, -68, 0, 28, 48, 0, 2, 40, 0, 0, 0, -28, 8, 168, -8, 0, 0, -18, -44, -36, 0, 2, 60, 0, -12, 0, -150, -42, -20, -28, 0, 0, -6, 56, -32, 0, -32, 0, 4, 6, 0, -48, 0, -36, 0, 0, 32, 10, 6, 16, 0, 0, -84, -72, 23, 0, 14, -4, 0, -102, 0, -34, -24, -24, -18, 0, 4, 66, -18, 24, 0, 0, 0, 24, 0, 0, 0, 0, -60, 0, 0, 12, -50, -44, -18, 0, 0, -6, 2, 78, 0, -92, -36, 0, 8, 0, 14, 54, -4, -32, 0, 76, 2, -132, -12, 0, 66, 0, -22, -82, 0, -24, -14, -140, 0, 0, -18, 48, -6, 80, 0, 0, 38, 0, -16, 0, -18, 0, 0, -3, 0, 44, 18, 42, -44, 0, -24, 22, 10, 52, 0, -20, 0, 120, 0, 0, 0, -25, -24, 0, 0, -72, -16, -12, -30, 0, 0, 48, 0, -16, 0, 0, 30, 0, 0, 0, -20, -24, 10, 0, 0, 24, 24, 72, -14, 0, 12, 0, 0, -30, 0, -98, 24, 4, 0, 0, -32, 100, 24, 40, 0, 0, 0, -30, 22, 0, 22, -8, 0, 0, 0, -10, -48, 84, -8, 0, -64, 18, -6, -86, 0, -68, 0, 84, 4, 0, -8, 16, -50, 0, 0, -48, 2, -4, -24, 0, 0, 8, -2, 0, 0, -44, 12, 0, 36, 0, -44, 8, 0, -40, 0, -74], "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.a.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], [6], [-1], [-6], [0], [0], [1], [0], [1], [-4], [0], [0], [6], [0], [-1], [0], [-6], [-1], [0], [-8], [0], [2], [1], [-6], [0], [0], [1], [-4], [-4], [6], [0], [-10], [0], [6], [6], [0], [0], [2], [-1], [0], [0], [0], [-6], [-10], [-1], [0], [0], [4], [-8], [-4], [0], [14], [2], [0], [1], [0], [-6], [-14], [0], [0], [0], [8], [1], [-6], [-4], [0], [-4], [0], [6], [-8], [0], [1], [-10], [8], [0], [0], [6], [8], [6], [-18], [0], [0], [0], [-2], [2], [0], [-1], [-2], [0], [6], [0]]}