# Stored data for newform 9450.2.a.u, downloaded from the LMFDB on 25 April 2024. {"label": "9450.2.a.u", "space_label": "9450.2.a", "level": 9450, "weight": 2, "hecke_orbit": 21, "hecke_orbit_code": 90071992580973802, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 155120593627625877, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[11, [-3, 1]], [13, [5, 1]], [17, [0, 1]], [19, [7, 1]]], "qexp_display": "q-q^{2}+q^{4}-q^{7}-q^{8}+3q^{11}-5q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 37800, "fricke_eigenval": -1, "atkin_lehner_string": "+-++", "analytic_conductor": 75.45862991010996, "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": "0.015", "prec": 17}, "analytic_rank_proved": true, "char_values": [9450, 1, [9101, 6427, 6751], [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": "0.035", "prec": 17}, {"__RealLiteral__": 0, "data": "1.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.048", "prec": 17}, {"__RealLiteral__": 0, "data": "2.014", "prec": 17}, {"__RealLiteral__": 0, "data": "0.074", "prec": 17}, {"__RealLiteral__": 0, "data": "5.089", "prec": 17}], "related_objects": ["EllipticCurve/Q/9450/u"], "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, 0, 0, -1], "traces": [0, 1, -1, 0, 1, 0, 0, -1, -1, 0, 0, 3, 0, -5, 1, 0, 1, 0, 0, -7, 0, 0, -3, -6, 0, 0, 5, 0, -1, -6, 0, -4, -1, 0, 0, 0, 0, -2, 7, 0, 0, -3, 0, 1, 3, 0, 6, -3, 0, 1, 0, 0, -5, -9, 0, 0, 1, 0, 6, 6, 0, 8, 4, 0, 1, 0, 0, 13, 0, 0, 0, 0, 0, 7, 2, 0, -7, -3, 0, 8, 0, 0, 3, -3, 0, 0, -1, 0, -3, 9, 0, 5, -6, 0, 3, 0, 0, 10, -1, 0, 0, 3, 0, 4, 5, 0, 9, 0, 0, 11, 0, 0, -1, -15, 0, 0, -6, 0, -6, 0, 0, -2, -8, 0, -4, 0, 0, 7, -1, 0, 0, -12, 0, 7, -13, 0, 0, 15, 0, -4, 0, 0, 0, -15, 0, 0, -7, 0, -2, 6, 0, -10, 7, 0, 3, 0, 0, 22, -8, 0, 0, 6, 0, 16, -3, 0, 3, 12, 0, 12, 0, 0, 1, 6, 0, 0, 3, 0, -9, 9, 0, 2, -5, 0, 6, 0, 0, 0, -3, 0, 0, 3, 0, 22, -10, 0, 1, -27, 0, -25, 0, 0, -3, 6, 0, 0, -4, 0, -5, -21, 0, 14, -9, 0, 0, 0, 0, 4, -11, 0, 0, 0, 0, -26, 1, 0, 15, -3, 0, -22, 0, 0, 6, -27, 0, 0, 6, 0, 0, 24, 0, 8, 2, 0, 8, 0, 0, 35, 4, 0, 0, -18, 0, -18, -7, 0, 1, 12, 0, 2, 0, 0, 12, 24, 0, 0, -7, 0, 13, -18, 0, 29, 0, 0, -15, 0, 0, -26, 4, 0, 0, -6, 0, 22, 0, 0, 15, 3, 0, -17, 0, 0, 7, 30, 0, 0, 2, 0, -6, 30, 0, -1, 10, 0, -7, 0, 0, 16, -3, 0, 0, -30, 0, 1, -22, 0, 8, 15, 0, -18, 0, 0, -6, 0, 0, 0, -16, 0, 3, 3, 0, -10, -3, 0, -12, 0, 0, 4, -12, 0, 0, -12, 0, -1, -1, 0, -6, 30, 0, -10, 0, 0, -3, -12, 0, 0, 9, 0, -9, 9, 0, 30, -2, 0, 5, 0, 0, 10, -6, 0, 0, 9, 0, 4, 0, 0, 3, 30, 0, -16, 0, 0, -3, -24, 0, 0, -22, 0, 10, 30, 0, 0, -1, 0, 27, 0, 0, -38, 25, 0, 0, 24, 0, 20, 3, 0, -6, -6, 0, 14, 0, 0, 4, -6, 0, 0, 5, 0, 21, -30, 0, 35, -14, 0, 9, 0, 0, -8, 0, 0, 0, -9, 0, -11, -4, 0, 11, 42, 0, -19, 0, 0, 0, 24, 0, 0, 26, 0, -1, 0, 0, -9, -15, 0, 3, 0, 0, 28, 22, 0, 0, 3, 0, 13, -6, 0, 27, 36, 0, -13, 0, 0, -6, 3, 0, 0, 0, 0, -24, -24, 0, 10, -8, 0, -2, 0, 0, 7, -8, 0, 0, -12, 0, 0, -35, 0, -4, 0, 0, 14, 0, 0, 18, -9, 0, 0, 18, 0, 7, -30, 0, -7, -1, 0, -12, 0, 0, -9, -2, 0, 0, -27, 0, -38, -12, 0, -24, 0, 0, 13, 0, 0, 7, 15, 0, 0, -13, 0, 18, 3, 0, 29, -29, 0, 0, 0, 0, -8, 15, 0, 0, 42, 0, -8, 26, 0, -4, 18, 0, -5, 0, 0, 6, 21, 0, 0, -22, 0, 0, -6, 0, 32, -15, 0, -3, 0, 0, -11, 17, 0, 0, 3, 0, -27, -7, 0, -30, -12, 0, 28, 0, 0, -2, -36, 0, 0, 6, 0, -30, -39, 0, 44, 1, 0, -10, 0, 0, 22, 7, 0, 0, 15, 0, -20, -16, 0, 3, -6, 0, -1, 0, 0, 30, -9, 0, 0, -1, 0, 22, 0, 0, -34, -8, 0, -15, 0, 0, -5, 18, 0, 0, -24, 0, 4, 6, 0, 0, -27, 0, 18, 0, 0, 16, -42, 0, 0, -3, 0, -3, 48, 0, 14, 10, 0, 3, 0, 0, 36, 12, 0, 0, 24, 0, -8, -4, 0, 12, -30, 0, -10, 0, 0, 12, 18, 0, 0, 1, 0, 1, 45, 0, 17, 6, 0, -30, 0, 0, 0, 10, 0, 0, 0, 0, 14, 3, 0, 12, -3, 0, -19, 0, 0, -9, 24, 0, 0, 9, 0, -9, 36, 0, -4, -30, 0, 2, 0, 0, 28, -5, 0, 0, 0, 0, -5, -10, 0, 6, 39, 0, -16, 0, 0, -9, -6, 0, 0, -4, 0, 0, 0, 0, 14, -3, 0, -30, 0, 0, 52, 16, 0, 0, 6, 0, -11, 3, 0, 24, -30, 0, 32, 0, 0, 22, -18, 0, 0, -10, 0, -30, 21, 0, 0, 0, 0, 1, 0, 0, -32, -27, 0, 0, 15, 0, -40, 38, 0, -25, 12, 0, 0, 0, 0, -24, 21, 0, 0, -20, 0, -3, 18, 0, -7, 6, 0, 6, 0, 0, -7, -14, 0, 0, 30, 0, 49, -4, 0, 6, -36, 0, -52, 0, 0, -5, 0, 0, 0, -21, 0, 30, -42, 0, 7, -35, 0, 14, 0, 0, 2, -9, 0, 0, 12, 0, 10, 8, 0, 0, 6, 0, 41, 0, 0, 9, -18, 0, 0, 11, 0, 4, 24, 0, -65, -11, 0, -42, 0, 0, 40, 19, 0, 0, -18, 0, -20, 0, 0, -24, -15, 0, -7, 0, 0, -26, 21, 0, 0, 1, 0, 0, 24, 0, 0, 9, 0, 15, 0, 0, 1, -3, 0, 0, 57, 0, -9, -28, 0, -22, 12, 0, 56, 0, 0, -3, 0, 0, 0, -13, 0, 6, 3, 0, -7, -27, 0, -36, 0, 0, 7, 13, 0, 0, -3, 0, 18, 6, 0, -3, -12, 0, -35, 0, 0, 0, -54, 0, 0, 24, 0, 24, -15, 0, -15, -10, 0, 8, 0, 0, -23, 2, 0, 0, 36, 0, 4, -7, 0, 8, -15, 0, 27, 0, 0, 12, 24, 0, 0, 0, 0, 35, -6, 0, 20, 4, 0, 0, 0, 0, -26, -14, 0, 0, 15, 0, 0, -18, 0, 9, 63, 0, 38, 0, 0, -18, -6, 0, 0, -7, 0, 30, 21, 0, 50, 7, 0, 1, 0, 0, -40, 12, 0, 0, -12, 0, 46, 9, 0, 2, 0, 0, -49, 0, 0, 27, -6, 0, 0, 38, 0, 12, 15, 0, -10, 24, 0, 0, 0, 0, 10, -13, 0, 0, -18, 0, 52, -7, 0, -15, 30, 0, 26, 0, 0, 13, 12, 0, 0, -18, 0, -3, 15, 0, 18, -29, 0, 29, 0, 0, -17, 0, 0, 0, 48, 0, -14, 8, 0, -15, 0, 0, -22, 0, 0, -42, 48, 0, 0, 8, 0, -26, 21, 0, 9, 4, 0, -18, 0, 0, -38, 5, 0, 0, -42, 0, -26, -6, 0, -21, -6, 0, 23, 0, 0, 22, 12, 0, 0, 0, 0, 6, 0, 0, -16, -32, 0, 15, 0, 0, 8, 3, 0, 0, 18, 0, 34, 11, 0, -17, -45, 0, -56, 0, 0, -3, 24, 0, 0, 27, 0, 7, -12, 0, 38, 30, 0, 12, 0, 0, 0, -28, 0, 0, 57, 0, -12, 2, 0, 36, -18, 0, 18, 0, 0, -6, -24, 0, 0, 30, 0, 39, 33, 0, -58, -44, 0, -1, 0, 0, 0, 10, 0, 0, -6, 0, -8, -22, 0, -7, 42, 0, 54, 0, 0, -15, 63, 0, 0, 20, 0, 16, 60, 0, -55, -3, 0, 6, 0, 0, -59, 1, 0, 0, 0, 0, -45, -30, 0, 9, -6, 0, 62, 0, 0, 1, -9, 0, 0, -22, 0, 0, 36, 0, -50, 34, 0, 8, 0, 0, -2, 15, 0, 0, 12, 0, -91, 5, 0, -18, -18, 0, 11, 0, 0, 24, 30, 0, 0, -4, 0, -6, -42, 0, 59, 0, 0, 27, 0, 0, 16, -18, 0, 0, 15, 0, 19, -16, 0, 42, 60, 0, 0, 0, 0, 3, -15, 0, 0, 3, 0, -48, -48, 0, -28, -14, 0, -10, 0, 0, 40, -3, 0, 0, -39, 0, -4, -36, 0, -12, -3, 0, -20, 0, 0, -24, 0, 0, 0, 8, 0, 4, 0, 0, -22, -12, 0, 30, 0, 0, -36, 10, 0, 0, -6, 0, 18, -12, 0, -18, -18, 0, -33, 0, 0, -1, -51, 0, 0, -1, 0, -45, 27, 0, 5, -17, 0, -6, 0, 0, -49, 30, 0, 0, 0, 0, 25, 0, 0, -10, 21, 0, 23, 0, 0, 0, -48, 0, 0, -14, 0, -3, 42, 0, 0, -12, 0, 3, 0, 0, -55, 19, 0, 0, -6, 0, 61, 9, 0, -24, 39, 0, -10, 0, 0, -9, 24, 0, 0, 9, 0, -36, -45, 0, -36, 4, 0, 30, 0, 0, -26, -2, 0, 0, 3, 0, 4, -28, 0, 5, 12, 0, -25, 0, 0, 0, 21, 0, 0, 5, 0, 10, 75, 0, 50, -6, 0, -39, 0, 0, -14, 16, 0, 0, -48, 0, 10, 9, 0, 6, -57, 0, -40, 0, 0, 4, -27, 0, 0, 0, 0, 0, -21, 0, -56, -14, 0, 3, 0, 0, 45, 30, 0, 0, 36, 0, 0, -52, 0, -16, 6, 0, -4, 0, 0, -6, 6, 0, 0, 11, 0, -3, -12, 0, 20, -24, 0, 30, 0, 0, 54, -32, 0, 0, -78, 0, -32, -22, 0, 18, 0, 0, 65, 0, 0, 10, -78, 0, 0, 30, 0, -21, 12, 0, 26, 0, 0, 0, 0, 0, 52, -1, 0, 0, 60, 0, 10, 32, 0, 27, 21, 0, -22, 0, 0, -15, 0, 0, 0, 40, 0, -38, 3, 0, -2, 25, 0, -12, 0, 0, 22, 0, 0, 0, -18, 0, 22, 24, 0, -21, -6, 0, 44, 0, 0, 20, 24, 0, 0, 3, 0, -18, -36, 0, 2, 7, 0, -6, 0, 0, -62, -6, 0, 0, 27, 0, 0, 7, 0, 14, 18, 0, 18, 0, 0, -30, 36, 0, 0, -49, 0, 4, 0, 0, -35, -6, 0, 36, 0, 0, -38, 52, 0, 0, -30, 0, 64, 5, 0, 0, 78, 0, -4, 0, 0, 21, -24, 0, 0, -30, 0, 42, -42, 0, -32, -7, 0, 35, 0, 0, -8, -14, 0, 0, -63, 0, -47, -2, 0, 9, -6, 0, -1, 0, 0, -12, 60, 0, 0, -10, 0, -8, -18, 0, -36, 0, 0, -6, 0, 0, 0, -41, 0, 0, -78, 0, 4, -9, 0, 18, 66, 0, -35, 0, 0, -11, 21, 0, 0, -4, 0, -24, 6, 0, -40, 65, 0, 11, 0, 0, -65, 42, 0, 0, 0, 0, -26, -40, 0, -19, 18, 0, 32, 0, 0, 18, -3, 0, 0, 20, 0, 0, -48, 0, 18, 24, 0, 15, 0, 0, 13, 7, 0, 0, -75, 0, -2, 26, 0, -21, -24, 0, 53, 0, 0, -1, 48, 0, 0, 0, 0, -24, -12, 0, -43, 0, 0, -9, 0, 0, 20, -15, 0, 0, 48, 0, -2, -1, 0, 3, -48, 0, 0, 0, 0, -57, -24, 0, 0, 9, 0, 28, -24, 0, -58, 22, 0, -12, 0, 0, 36, -56, 0, 0, -24, 0, -70, 3, 0, 0, -48, 0, -42, 0, 0, 13, 0, 0, 0, -6, 0, -3, 36, 0, -28, 7, 0, 27, 0, 0, -32, 36, 0, 0, -36, 0, -56, -7, 0, -13, -78, 0, -37, 0, 0, 3, 18, 0, 0, -18, 0, -6, -45, 0, -32, 3, 0, 12, 0, 0, -29, 35, 0, 0, -24, 0, 18, 0, 0, 54, 45, 0, 18, 0, 0, -24, 57, 0, 0, -24, 0, 15, -21, 0, 0, 15, 0, 10, 0, 0, 9, -8, 0, 0, 78, 0, 64, 23, 0, -2, -30, 0, 26, 0, 0, -36, -78, 0, 0, -4, 0, 7, -21, 0, 8, -8, 0, 15, 0, 0, -28, -27, 0, 0, 18, 0, 50, -12, 0, -24, 6, 0, 27, 0, 0, 0, 6, 0, 0, -35, 0, 6, 0, 0, -22, -20, 0, -4, 0, 0, 28, 0, 0, 0, 6, 0, -5, 26, 0, 14, 81, 0, -16, 0, 0, -15, 12, 0, 0, 0, 0, 18, -3, 0, -22, -9, 0, -63, 0, 0, 52, -38, 0, 0, -3, 0, 17, 18, 0, 6, -66, 0, -22, 0, 0, 7, 0, 0, 0, -30, 0, -21, 33, 0, -110, -50, 0, -7, 0, 0, -54, -1, 0, 0, -30, 0, 70, 40, 0, -12, 0, 0, 0, 0, 0, 12, -39, 0, 0, -46, 0, -9, 36, 0, -77, -2, 0, 0, 0, 0, -52, 49, 0, 0, 66, 0, -5, -27, 0, 6, -18, 0, -34, 0, 0, -38, -30, 0, 0, -12, 0, -15, 30, 0, 9, 10, 0, -24, 0, 0, 1, 0, 0, 0, 24, 0, 1, -10, 0, 13, -42, 0, -80, 0, 0, 18, 66, 0, 0, -52, 0, 7, -30, 0, -28, 15, 0, -30, 0, 0, 58, -26, 0, 0, -27, 0, -29, -13, 0, -12, 105, 0, -16, 0, 0, 18, -21, 0, 0, 3, 0, -15, 0, 0, 20, -18, 0, 29, 0, 0, -81, -29, 0, 0, -60, 0, 27, 17, 0, 0, 30, 0, 74, 0, 0, -48, -12, 0, 0, 14, 0, -8, -75, 0, -1, 15, 0, 0, 0, 0, 5, 22, 0, 0, 0, 0, -44, 42, 0, -48, -12, 0, -38, 0, 0, -8, -54, 0, 0, 26, 0, -21, -15, 0, -73, -9, 0, -4, 0, 0, 0, 18, 0, 0, -60, 0, 18, 38, 0, -5, 21, 0, 8, 0, 0, 42, 33, 0, 0, 26, 0, 6, -30, 0, -70, 21, 0, 6, 0, 0, -16, -23, 0, 0, 0, 0, -28, -22, 0, -12, -72, 0, -79, 0, 0, 0, -6, 0, 0, -6, 0, 0, -9, 0, 50, 16, 0, 32, 0, 0, -20, -15, 0, 0, -48, 0, -26, -8, 0, -3, -3, 0, 14, 0, 0, -18, -3, 0, 0, -34, 0, -11, -75, 0, 44, 17, 0, 45, 0, 0, 10, 56, 0, 0, 42, 0, -18, 3, 0, -24, -45, 0, 0, 0, 0, -27, -30, 0, 0, -7, 0, 12, 81, 0, 20, -38, 0, -30, 0, 0, 73, -12, 0, 0, 30, 0, -10, 0, 0, 28, 18, 0, -4, 0, 0, -57, 0, 0, 0, 12, 0, -2, -24, 0, -31, -36, 0, 18, 0, 0, -92, -18, 0, 0, -12, 0, -8, 6, 0, 24, 12, 0, 14, 0, 0, -30, -54, 0, 0, -39, 0, -33, 42, 0, 1, 58, 0, 44, 0, 0, 18, 1, 0, 0, 72, 0, -49, 0, 0, -10, 93, 0, -18, 0, 0, 6, 6, 0, 0, 8, 0, 22, -30, 0, 0, 7, 0, -42, 0, 0, -62, -54, 0, 0, 3, 0, 10, 15, 0, -63, 54, 0, -32, 0, 0, -20, -78, 0, 0, -16, 0, -60, 48, 0, 0, 55, 0, 3, 0, 0, -74, -6, 0, 0, 12, 0, -44, 59, 0, -1, -66, 0, -26, 0, 0, 0, -15, 0, 0, 45, 0, 30, 84, 0, 27, -9, 0, 6, 0, 0, -9, -62, 0, 0, -24, 0, 52, -1, 0, 9, -66, 0, -110, 0, 0, 22, -9, 0, 0, 0, 0, -36, -66, 0, 29, 50, 0, -34, 0, 0, -30, -8, 0, 0, 21, 0, 0, 2, 0, -15, 6, 0, 29, 0, 0, -12, 12, 0, 0, 91, 0, -5, -6, 0, 23, 18, 0, 18, 0, 0, 34, -11, 0, 0, 135, 0, -81, -24, 0, -30, 0, 0, -10, 0, 0, 4, 12, 0, 0, 6, 0, 42, 24, 0, -54, -59, 0, 0, 0, 0, 125, -27, 0, 0, -45, 0, 61, -16, 0, 18, -9, 0, 90, 0, 0, -15, -105, 0, 0, -19, 0, 16, -18, 0, -4, -42, 0, -60, 0, 0, -53, 0, 0, 0, -33, 0, 8, -3, 0, 15, 0, 0, 72, 0, 0, -3, -51, 0, 0, 48, 0, 48, -30, 0, 28, 28, 0, 14, 0, 0, -47, 10, 0, 0, 24, 0, 16, -40, 0, 3, 51, 0, 23, 0, 0, 39, 27, 0, 0, 4, 0, 36, 0, 0, 80, 12, 0, 3, 0, 0, 31, 20, 0, 0, 24, 0, -101, 24, 0, 0, 48, 0, 35, 0, 0, -8, 6, 0, 0, -4, 0, 0, 36, 0, -14, 22, 0, 12, 0, 0, -98, -30, 0, 0, 93, 0, 40, 36, 0, -10, 105, 0, 56, 0, 0, 6, -30, 0, 0, -18, 0, 12, 39, 0, 68, 18, 0, 18, 0, 0, 0, 33, 0, 0, -84, 0, -70, 1, 0, 51, -39, 0, -58, 0, 0, 1, 45, 0, 0, 45, 0, -27, -36, 0, -54, -5, 0, 17, 0, 0, 103, 6, 0, 0, 0, 0, -18, 49, 0, -30, -78, 0, 38, 0, 0, 0, 12, 0, 0, -25, 0, 0, 9, 0, 11, 10, 0, -21, 0, 0, -44, -23, 0, 0, 66, 0, 58, 0, 0, 48, -24, 0, 28, 0, 0, 14, -60, 0, 0, 3, 0, -42, -6, 0, -20, 0, 0, 12, 0, 0, 36, -3, 0, 0, -42, 0, -17, 55, 0, -19, 51, 0, 0, 0, 0, 6, -36, 0, 0, -61, 0, -9, 6, 0, 44, 24, 0, -39, 0, 0, 58, 10, 0, 0, -99, 0, -14, 9, 0, -24, -24, 0, 70, 0, 0, -9, 0, 0, 0, 36, 0, 45, -45, 0, 13, 36, 0, -4, 0, 0, 28, -30, 0, 0, 6, 0, 72, 26, 0, 2, -72, 0, 130, 0, 0, -3, 57, 0, 0, -4, 0, 28, 48, 0, 0, -5, 0, -12, 0, 0, 43, 25, 0, 0, -42, 0, -16, 0, 0, -21, 24, 0, -18, 0, 0, -5, 30, 0, 0, -10, 0, -75, -48, 0, 0, -50, 0, 6, 0, 0, -35, 39, 0, 0, 15, 0, 70, 14, 0, -16, -24, 0, -54, 0, 0, 48, -12, 0, 0, -10, 0, -9, 36, 0, -52, -6, 0, 57, 0, 0, 110, 40, 0, 0, 87, 0, -154, -4, 0, 27, -24, 0, 8, 0, 0, 0, -21, 0, 0, 0, 0, 21, -6, 0, 86, 56, 0, 14, 0, 0, -40, -3, 0, 0, -84, 0, 72, -45, 0, -30, 9, 0, 50, 0, 0, -36, -9, 0, 0, 0, 0, 52, 135, 0, 11, 16, 0, -6, 0, 0, 85, 4, 0, 0, 9, 0, 0, 6, 0, -6, -78, 0, 53, 0, 0, -11, 0, 0, 0, 3, 0, 12, -42, 0, -70, -20, 0, 24, 0, 0, -44, -30, 0, 0, 6, 0, 19, -54, 0, 32, 0, 0, 56, 0, 0, 78, 39, 0, 0, 32, 0, 22, -78, 0, -18, -18, 0, 0, 0, 0, -112, -65, 0, 0, -24, 0, 0, -10, 0, 78, -120, 0, 5, 0, 0, -30, 66, 0, 0, 21, 0, -12, 51, 0, 98, -26, 0, 0, 0, 0, -54, 0, 0, 0, -12, 0, -40, -52, 0, 1, -78, 0, 7, 0, 0, -60, 0, 0, 0, -10, 0, -32, -39, 0, -90, -27, 0, -21, 0, 0, 9, 22, 0, 0, -66, 0, 40, 15, 0, 0, -81, 0, -70, 0, 0, -40, -84, 0, 0, 38, 0, -3, -51, 0, -4, 2, 0, -25, 0, 0, -83, 12, 0, 0, -12, 0, -16, -22, 0, 0, 24, 0, -28, 0, 0, 18, 54, 0, 0, -22, 0, -24, -3, 0, -84, 21, 0, 6, 0, 0, -86, -44, 0, 0, -90, 0, 90, -20, 0, -24, -3, 0, 71, 0, 0, -3, -72, 0, 0, 18, 0, 36, -24, 0, -13, -2, 0, -7, 0, 0, 0, 6, 0, 0, 66, 0, 94, 62, 0, 6, -27, 0, 38, 0, 0, -27, 90, 0, 0, 0, 0, -7, -36, 0, -40, -14, 0, -18, 0, 0, 90, -18, 0, 0, 0, 0, 13, 30, 0, -36, -42, 0, 90, 0, 0, 49, -18, 0, 0, -4, 0, 0, 15, 0, 35, 35, 0, 6, 0, 0, -14, -36, 0, 0, -3, 0, -38, 38, 0, -52, 0, 0, 26, 0, 0, 30, -57, 0, 0, -64, 0, -5, 54, 0, 83, 0, 0, -78, 0, 0, 0, 4, 0, 0, -60, 0, 4, -21, 0, 24, -36, 0, 0, 0, 0, 30, 24, 0, 0, -42, 0, 42, 84, 0, -85, 32, 0, 7, 0, 0, -10, -35, 0, 0, 87, 0, 1, 8, 0, 14, 48, 0, -44, 0, 0, 63, 0, 0, 0, 47, 0, 2, -30, 0, 35, -9, 0, 6, 0, 0, 8, 1, 0, 0, -63, 0, 9, 12, 0, -60, -96, 0, -7, 0, 0, 10, -21, 0, 0, 8, 0, 18, -120, 0, -90, 36, 0, 0, 0, 0, -36, 6, 0, 0, -21, 0, -5, 0, 0, 41, 12, 0, -14, 0, 0, 78, 3, 0, 0, -4, 0, 9, 57, 0, 0, -18, 0, -66, 0, 0, 79, 35, 0, 0, 87, 0, 10, 11, 0, -21, 24, 0, -67, 0, 0, 4, 60, 0, 0, 24, 0, -6, 0, 0, -23, 40, 0, -65, 0, 0, 45, -11, 0, 0, 90, 0, -14, 65, 0, -42, 90, 0, -37, 0, 0, 0, 60, 0, 0, 26, 0, 40, 12, 0, 2, 19, 0, -18, 0, 0, -62, -32, 0, 0, 9, 0, -145, -18, 0, 3, -72, 0, -115, 0, 0, -20, -78, 0, 0, 0, 0, 48, 84, 0, 86, -18, 0, -24, 0, 0, 16, -15, 0, 0, -117, 0, 0, -13, 0, -7, 69, 0, -85, 0, 0, 75, 30, 0, 0, 2, 0, -26, -3, 0, 62, 21, 0, 24, 0, 0, 7, -53, 0, 0, 36, 0, 52, 1, 0, -48, 0, 0, -20, 0, 0, 0, 42, 0, 0, 24, 0, 12, 48, 0, 130, 43, 0, 0, 0, 0, 37, 9, 0, 0, -132, 0, 40, -20, 0, 15, 0, 0, 9, 0, 0, -48, 84, 0, 0, 2, 0, 1, -21, 0, -13, -3, 0, 48, 0, 0, -2, 0, 0, 0, -30, 0, -80, 57, 0, 24, 27, 0, -27, 0, 0, -9, 30, 0, 0, -28, 0, 24, 6, 0, 38, 58, 0, -22, 0, 0, -154, 12, 0, 0, 108, 0, 25, -36, 0, 56, 93, 0, -110, 0, 0, 24, -42, 0, 0, 70, 0, -3, 0, 0, 56, 0, 0, 48, 0, 0, -62, 42, 0, 0, -78, 0, -13, -13, 0, 0, 12, 0, 110, 0, 0, 6, -24, 0, 0, 3, 0, -36, -105, 0, 3, 28, 0, -7, 0, 0, -38, -27, 0, 0, -15, 0, -62, 32, 0, -36, -6, 0, -40, 0, 0, 36, 189, 0, 0, 56, 0, 7, -96, 0, 8, 13, 0, 78, 0, 0, 85, 37, 0, 0, 18, 0, 0, -3, 0, -18, -42, 0, -64, 0, 0, 18, -3, 0, 0, 6, 0, 45, 72, 0, 175, 32, 0, -3, 0, 0, -29, -12, 0, 0, 0, 0, 31, 29, 0, -35, -72, 0, 72, 0, 0, 24, 84, 0, 0, -18, 0, 0, -150, 0, -8, -54, 0, -45, 0, 0, 90, -18, 0, 0, 123, 0, 64, 24, 0, -57, 9, 0, 8, 0, 0, 24, -63, 0, 0, -15, 0, 21, -30, 0, -72, 0, 0, -15, 0, 0, 67, -10, 0, 0, 117, 0, 115, -9, 0, 8, -42, 0, 0, 0, 0, -78, 87, 0, 0, -64, 0, -23, -63, 0, 8, 2, 0, 30, 0, 0, -53, -26, 0, 0, -114, 0, -36, 36, 0, 78, -72, 0, 29, 0, 0, 4, 0, 0, 0, -7, 0, 21, -18, 0, 9, -8, 0, 8, 0, 0, 61, -15, 0, 0, -66, 0, 5, 28, 0, 27, -30, 0, -112, 0, 0, -18, -36, 0, 0, -50, 0, 12, 6, 0, 8, 24, 0, -6, 0, 0, -28, -27, 0, 0, -21, 0, 61, 0, 0, -6, 93, 0, 27, 0, 0, 35, 78, 0, 0, -6, 0, 0, 0, 0, 0, 22, 0, 20, 0, 0, -26, 4, 0, 0, 90, 0, -90, -28, 0, 0, -30, 0, -36, 0, 0, -6, 6, 0, 0, 5, 0, -26, 3, 0, -80, -14, 0, -81, 0, 0, -32, 16, 0, 0, 78, 0, 46, 15, 0, -12, -39, 0, -98, 0, 0, 0, -9, 0, 0, -18, 0, 3, -75, 0, -10, 22, 0, 9, 0, 0, -23, 63, 0, 0, 24, 0, -22, -52, 0, 38, 30, 0, 11, 0, 0, 3, 150, 0, 0, -17, 0, -18, 63, 0, 92, -6, 0, 66, 0, 0, 46, 22, 0, 0, 48, 0, 0, -7, 0, 0, -3, 0, -5, 0, 0, 30, 12, 0, 0, 21, 0, -33, 12, 0, 27, 110, 0, 50, 0, 0, 104, 7, 0, 0, 42, 0, 37, 54, 0, 1, 0, 0, -4, 0, 0, 30, 12, 0, 0, -70, 0, -40, 12, 0, 8, 12, 0, 0, 0, 0, -54, 0, 0, 0, -75, 0, -28, -12, 0, 39, -24, 0, 8, 0, 0, 46, -66, 0, 0, 9, 0, -36, -117, 0, -9, 77, 0, 2, 0, 0, 90, 0, 0, 0, 36, 0, 22, 52, 0, -49, 36, 0, 92, 0, 0, -66, -12, 0, 0, 5, 0, 27, -48, 0, 10, -6, 0, 18, 0, 0, 7, 34, 0, 0, 30, 0, -27, 38, 0, 30, -72, 0, 0, 0, 0, 12, 39, 0, 0, 15, 0, -30, 0, 0, -109, -9, 0, -10, 0, 0, -44, 24, 0, 0, -63, 0, -72, -1, 0, 0, -6, 0, 71, 0, 0, -24, -12, 0, 0, -1, 0, 10, -36, 0, -43, -13, 0, 42, 0, 0, 182, 80, 0, 0, -69, 0, 4, -18, 0, -66, -60, 0, -22, 0, 0, 52, 66, 0, 0, -7, 0, 30, -114, 0, 32, 28, 0, -15, 0, 0, 0, 30, 0, 0, 33, 0, -98, -58, 0, 26, -15, 0, 90, 0, 0, 27, 9, 0, 0, 29, 0, 13, -21, 0, 20, 12, 0, -105, 0, 0, 58, 16, 0, 0, 0, 0, 50, -18, 0, 21, 42, 0, 16, 0, 0, -3, 21, 0, 0, 15, 0, 0, 6, 0, -36], "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": "1890.2.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], [0], [1], [0], [0], [-1], [-1], [0], [0], [3], [0], [-5], [1], [0], [1], [0], [0], [-7], [0], [0], [-3], [-6], [0], [0], [5], [0], [-1], [-6], [0], [-4], [-1], [0], [0], [0], [0], [-2], [7], [0], [0], [-3], [0], [1], [3], [0], [6], [-3], [0], [1], [0], [0], [-5], [-9], [0], [0], [1], [0], [6], [6], [0], [8], [4], [0], [1], [0], [0], [13], [0], [0], [0], [0], [0], [7], [2], [0], [-7], [-3], [0], [8], [0], [0], [3], [-3], [0], [0], [-1], [0], [-3], [9], [0], [5], [-6], [0], [3], [0], [0], [10], [-1], [0], [0]]}