# Stored data for newform 9450.2.a.bp, downloaded from the LMFDB on 25 April 2024.
{"label": "9450.2.a.bp", "space_label": "9450.2.a", "level": 9450, "weight": 2, "hecke_orbit": 42, "hecke_orbit_code": 184647584755754218, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 715245780861891925, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[11, [-1, 1]], [13, [3, 1]], [17, [8, 1]], [19, [3, 1]]], "qexp_display": "q-q^{2}+q^{4}+q^{7}-q^{8}+q^{11}-3q^{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": "0.012", "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": "0.007", "prec": 17}, {"__RealLiteral__": 0, "data": "1.014", "prec": 17}, {"__RealLiteral__": 0, "data": "0.007", "prec": 17}, {"__RealLiteral__": 0, "data": "2.062", "prec": 17}, {"__RealLiteral__": 0, "data": "0.020", "prec": 17}, {"__RealLiteral__": 0, "data": "5.281", "prec": 17}], "related_objects": ["EllipticCurve/Q/9450/bp"], "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, 1, 0, -3, -1, 0, 1, -8, 0, -3, 0, 0, -1, 6, 0, 0, 3, 0, 1, 6, 0, -4, -1, 0, 8, 0, 0, -2, 3, 0, 0, 11, 0, -1, 1, 0, -6, 1, 0, 1, 0, 0, -3, -1, 0, 0, -1, 0, -6, 10, 0, 4, 4, 0, 1, 0, 0, 3, -8, 0, 0, 8, 0, -11, 2, 0, -3, 1, 0, 4, 0, 0, -11, -11, 0, 0, 1, 0, -1, 7, 0, -3, 6, 0, -1, 0, 0, -2, -1, 0, 0, -15, 0, 8, 3, 0, 1, -12, 0, -9, 0, 0, 1, 13, 0, 0, 6, 0, -10, -8, 0, -10, -4, 0, -4, 0, 0, 5, -1, 0, 0, -4, 0, -3, -3, 0, 8, 3, 0, -20, 0, 0, -8, -3, 0, 0, 11, 0, -2, -18, 0, -10, 3, 0, -1, 0, 0, -22, -4, 0, 0, 6, 0, 16, 11, 0, 11, -12, 0, -4, 0, 0, -1, -2, 0, 0, 1, 0, -7, 3, 0, -14, 3, 0, -6, 0, 0, -8, 1, 0, 0, -3, 0, 10, 2, 0, 1, -11, 0, 23, 0, 0, 15, 6, 0, 0, -8, 0, -3, -3, 0, -26, -1, 0, 12, 0, 0, -4, 9, 0, 0, 24, 0, 2, -1, 0, -13, -11, 0, -14, 0, 0, -6, 9, 0, 0, 10, 0, 8, -8, 0, -20, 10, 0, 4, 0, 0, 9, 4, 0, 0, 30, 0, 6, -5, 0, 1, -20, 0, -2, 0, 0, 4, 16, 0, 0, 3, 0, 3, -6, 0, -27, -8, 0, -3, 0, 0, -18, 20, 0, 0, -10, 0, 22, 8, 0, 3, 11, 0, 47, 0, 0, -11, 14, 0, 0, 2, 0, 18, -18, 0, -1, 10, 0, -3, 0, 0, -28, 1, 0, 0, -18, 0, -29, 22, 0, 4, 23, 0, 6, 0, 0, -6, 24, 0, 0, -16, 0, -11, 1, 0, 34, -11, 0, 12, 0, 0, 8, 4, 0, 0, -4, 0, 1, 1, 0, 2, 2, 0, 10, 0, 0, -1, 0, 0, 0, 7, 0, -3, -1, 0, -10, 14, 0, -3, 0, 0, -10, 6, 0, 0, -1, 0, -32, 8, 0, -1, -18, 0, 12, 0, 0, 3, 24, 0, 0, -10, 0, -2, 26, 0, -48, -1, 0, 11, 0, 0, 14, -23, 0, 0, -20, 0, 12, -15, 0, -6, -2, 0, -18, 0, 0, 8, 10, 0, 0, 3, 0, 3, -18, 0, -1, 26, 0, 1, 0, 0, 4, -12, 0, 0, 9, 0, 7, 4, 0, -9, -18, 0, -11, 0, 0, -24, -16, 0, 0, -2, 0, 1, -36, 0, 11, 13, 0, 11, 0, 0, -16, 14, 0, 0, 1, 0, -17, 6, 0, -9, 28, 0, 3, 0, 0, -10, -1, 0, 0, -8, 0, 8, -12, 0, 6, 20, 0, -10, 0, 0, -11, -4, 0, 0, -36, 0, -48, -9, 0, -4, 8, 0, 18, 0, 0, -30, -21, 0, 0, -6, 0, 5, -26, 0, -11, -1, 0, 20, 0, 0, 1, 2, 0, 0, 35, 0, 26, -4, 0, -16, 32, 0, 13, 0, 0, -3, -33, 0, 0, -3, 0, 6, 1, 0, 9, 27, 0, 8, 0, 0, 24, 3, 0, 0, -18, 0, 4, 18, 0, -20, -46, 0, 3, 0, 0, 10, -11, 0, 0, -22, 0, -8, -18, 0, 36, -3, 0, -11, 0, 0, -25, -47, 0, 0, -11, 0, -1, 11, 0, -14, -20, 0, 12, 0, 0, -2, 48, 0, 0, -18, 0, 18, -9, 0, 12, 1, 0, -10, 0, 0, -34, 3, 0, 0, -3, 0, 36, 28, 0, -1, -14, 0, 11, 0, 0, 18, 7, 0, 0, 29, 0, -22, 16, 0, -34, -4, 0, -23, 0, 0, -3, -6, 0, 0, -28, 0, -16, 6, 0, -24, -7, 0, 10, 0, 0, 16, 22, 0, 0, 11, 0, -1, -8, 0, -14, -34, 0, 11, 0, 0, 36, -12, 0, 0, 4, 0, 32, -8, 0, -4, 30, 0, -2, 0, 0, 4, -2, 0, 0, -1, 0, -1, 3, 0, -35, -2, 0, -2, 0, 0, -88, -10, 0, 0, -32, 0, 6, 1, 0, 0, -15, 0, 25, 0, 0, -7, -24, 0, 0, 3, 0, 1, 48, 0, 8, 10, 0, -14, 0, 0, 24, 3, 0, 0, 8, 0, 5, 10, 0, -6, 3, 0, -8, 0, 0, 1, -6, 0, 0, 32, 0, -8, -12, 0, -34, 1, 0, 18, 0, 0, -28, -12, 0, 0, 42, 0, -9, -3, 0, -24, -30, 0, 4, 0, 0, 10, 6, 0, 0, 2, 0, -26, -33, 0, 8, 48, 0, 1, 0, 0, -28, -11, 0, 0, 13, 0, -12, -14, 0, 23, -12, 0, -8, 0, 0, 20, -11, 0, 0, -12, 0, 15, 18, 0, 29, 6, 0, 2, 0, 0, 3, 18, 0, 0, 42, 0, -37, -8, 0, -10, -32, 0, -16, 0, 0, -3, -8, 0, 0, -3, 0, 18, 50, 0, 7, 1, 0, -26, 0, 0, -10, -1, 0, 0, -12, 0, 22, -4, 0, 12, 18, 0, -3, 0, 0, -9, 14, 0, 0, -7, 0, -4, 4, 0, -9, 9, 0, 18, 0, 0, 28, 11, 0, 0, 50, 0, -36, 24, 0, 16, 37, 0, 5, 0, 0, 2, -3, 0, 0, -1, 0, 36, -24, 0, 8, -11, 0, -13, 0, 0, -17, -11, 0, 0, -33, 0, -11, 16, 0, -14, -4, 0, -28, 0, 0, -1, -24, 0, 0, 17, 0, -6, -35, 0, -3, 9, 0, -28, 0, 0, 37, -3, 0, 0, 23, 0, 66, 10, 0, 1, -8, 0, 33, 0, 0, 8, 42, 0, 0, -8, 0, 12, 3, 0, -15, -6, 0, -20, 0, 0, 35, 10, 0, 0, 0, 0, -20, 11, 0, 4, -3, 0, 7, 0, 0, 36, -56, 0, 0, 48, 0, 9, -6, 0, -44, 4, 0, -8, 0, 0, 10, -18, 0, 0, -3, 0, -80, 30, 0, 21, 3, 0, 46, 0, 0, 6, -34, 0, 0, -5, 0, 26, -1, 0, 2, 11, 0, 1, 0, 0, -12, -20, 0, 0, -36, 0, -6, -1, 0, -2, -32, 0, -49, 0, 0, -35, -18, 0, 0, -26, 0, 4, 1, 0, -2, 16, 0, -32, 0, 0, -10, -13, 0, 0, -42, 0, -44, 3, 0, 33, -2, 0, -26, 0, 0, 3, -12, 0, 0, -6, 0, -1, 33, 0, 6, -9, 0, -27, 0, 0, 13, -8, 0, 0, -36, 0, 22, -24, 0, -3, -56, 0, -22, 0, 0, 18, -12, 0, 0, -4, 0, -18, -9, 0, -15, 20, 0, 46, 0, 0, 26, -3, 0, 0, -30, 0, 22, -10, 0, 11, 6, 0, 55, 0, 0, 22, 8, 0, 0, 8, 0, 18, -24, 0, 16, -36, 0, 3, 0, 0, 8, 11, 0, 0, -30, 0, 54, 25, 0, 47, -21, 0, -12, 0, 0, 11, -64, 0, 0, 1, 0, -11, -12, 0, 22, 14, 0, 20, 0, 0, -12, -12, 0, 0, -37, 0, -4, 2, 0, -48, -54, 0, 66, 0, 0, 18, -24, 0, 0, -18, 0, 9, -9, 0, 46, -12, 0, -1, 0, 0, -64, 10, 0, 0, -2, 0, -64, 34, 0, -3, -18, 0, -6, 0, 0, 3, -29, 0, 0, -36, 0, -28, 40, 0, 17, 1, 0, 14, 0, 0, -45, -11, 0, 0, 88, 0, 13, -18, 0, -7, -6, 0, -54, 0, 0, -29, 3, 0, 0, 22, 0, -16, -48, 0, 6, 34, 0, 4, 0, 0, -14, 23, 0, 0, -44, 0, -9, 3, 0, 6, 10, 0, -61, 0, 0, 28, 30, 0, 0, 16, 0, -6, -42, 0, 47, 24, 0, 7, 0, 0, 24, -10, 0, 0, 45, 0, 17, -16, 0, -22, 28, 0, -8, 0, 0, -11, 45, 0, 0, 1, 0, 8, 12, 0, 8, 14, 0, 34, 0, 0, -16, -11, 0, 0, -21, 0, 4, -36, 0, 12, -3, 0, -24, 0, 0, -4, -32, 0, 0, -32, 0, 8, -24, 0, 10, 4, 0, -30, 0, 0, 60, 2, 0, 0, -66, 0, 6, -4, 0, 2, -10, 0, -33, 0, 0, 1, 21, 0, 0, 1, 0, -3, -11, 0, 41, 35, 0, 2, 0, 0, 33, 2, 0, 0, 36, 0, 23, 88, 0, 10, 5, 0, 23, 0, 0, 32, 24, 0, 0, -6, 0, -1, 54, 0, 88, 0, 0, 15, 0, 0, 27, -25, 0, 0, 6, 0, 63, 7, 0, 24, 31, 0, -34, 0, 0, -3, 32, 0, 0, -1, 0, -48, 5, 0, -4, -8, 0, -10, 0, 0, 38, 14, 0, 0, -55, 0, -40, -24, 0, -3, -4, 0, -21, 0, 0, -8, -3, 0, 0, -5, 0, -10, -39, 0, -2, 6, 0, -3, 0, 0, -26, 8, 0, 0, 48, 0, -58, -1, 0, 6, -45, 0, 16, 0, 0, -32, -11, 0, 0, 8, 0, 12, 17, 0, -12, 34, 0, -1, 0, 0, 3, -18, 0, 0, 40, 0, -56, 28, 0, 12, -22, 0, -4, 0, 0, -42, -58, 0, 0, 9, 0, 3, -20, 0, 20, 24, 0, 30, 0, 0, -6, -4, 0, 0, 18, 0, 72, -10, 0, -6, 24, 0, 37, 0, 0, -2, 18, 0, 0, 26, 0, 33, -36, 0, 2, -8, 0, -48, 0, 0, 40, -1, 0, 0, 0, 0, 30, 28, 0, 11, 33, 0, 26, 0, 0, -13, 40, 0, 0, 12, 0, 14, -11, 0, 2, -23, 0, 12, 0, 0, -70, 8, 0, 0, 66, 0, -14, -20, 0, 11, 54, 0, -60, 0, 0, 12, 24, 0, 0, -15, 0, -18, 4, 0, 2, -29, 0, -6, 0, 0, 38, -2, 0, 0, 9, 0, 48, -3, 0, -18, 30, 0, -18, 0, 0, -42, 4, 0, 0, 37, 0, 8, 16, 0, -15, 10, 0, 32, 0, 0, 6, 16, 0, 0, -10, 0, 0, 3, 0, 8, 2, 0, 28, 0, 0, 3, -8, 0, 0, -18, 0, -50, -66, 0, 80, -7, 0, -1, 0, 0, -20, 26, 0, 0, -21, 0, 7, 10, 0, 1, 6, 0, -37, 0, 0, 12, 12, 0, 0, -22, 0, 4, 18, 0, 60, -12, 0, -18, 0, 0, 120, 3, 0, 0, -58, 0, -4, 9, 0, -14, -22, 0, 9, 0, 0, 7, 69, 0, 0, 4, 0, -4, -2, 0, -48, 9, 0, -9, 0, 0, 57, -18, 0, 0, -64, 0, 10, -28, 0, -11, 30, 0, 36, 0, 0, -50, -11, 0, 0, 36, 0, -24, 24, 0, 6, -16, 0, -37, 0, 0, 79, -5, 0, 0, -9, 0, 22, -2, 0, 3, -32, 0, -31, 0, 0, 1, 16, 0, 0, -36, 0, 24, -20, 0, -27, -8, 0, 11, 0, 0, 60, 13, 0, 0, 28, 0, -2, 17, 0, 11, 24, 0, 96, 0, 0, 33, 32, 0, 0, 11, 0, -16, -40, 0, -22, 14, 0, 4, 0, 0, -12, 28, 0, 0, 16, 0, 6, 1, 0, 24, 48, 0, -42, 0, 0, -17, 72, 0, 0, 6, 0, 35, -4, 0, 12, 3, 0, -9, 0, 0, -8, 28, 0, 0, -60, 0, 20, -37, 0, 3, -78, 0, 11, 0, 0, -23, -6, 0, 0, -66, 0, -10, 21, 0, -16, -1, 0, 8, 0, 0, -27, -33, 0, 0, -12, 0, -2, -8, 0, -42, -59, 0, -66, 0, 0, 8, 29, 0, 0, -12, 0, -3, 45, 0, -104, 15, 0, 6, 0, 0, 11, 20, 0, 0, 50, 0, 0, -35, 0, -10, 54, 0, -18, 0, 0, 0, 18, 0, 0, 20, 0, -11, 33, 0, 40, -4, 0, 3, 0, 0, -24, -7, 0, 0, 2, 0, 30, -36, 0, 56, -10, 0, 3, 0, 0, -48, 62, 0, 0, -9, 0, 6, 24, 0, 22, 44, 0, -4, 0, 0, 40, 8, 0, 0, -14, 0, -15, -10, 0, 18, 25, 0, -80, 0, 0, 3, -60, 0, 0, 80, 0, -30, 11, 0, 62, -21, 0, -3, 0, 0, 84, -46, 0, 0, -1, 0, 47, -6, 0, 34, 58, 0, -30, 0, 0, 5, 36, 0, 0, -26, 0, 1, 15, 0, 66, -2, 0, -11, 0, 0, 42, -1, 0, 0, 14, 0, -38, 12, 0, 20, 80, 0, 48, 0, 0, 36, -51, 0, 0, 6, 0, 1, -24, 0, 27, 2, 0, 32, 0, 0, -12, 49, 0, 0, -2, 0, -11, 35, 0, 18, 90, 0, -34, 0, 0, 26, -18, 0, 0, -4, 0, -1, -30, 0, -3, 2, 0, -16, 0, 0, -1, 32, 0, 0, -24, 0, -21, 10, 0, 13, -66, 0, -48, 0, 0, 42, 10, 0, 0, 44, 0, -3, 2, 0, -20, -33, 0, 2, 0, 0, 14, 26, 0, 0, 23, 0, 9, -3, 0, 12, -39, 0, -28, 0, 0, 6, 15, 0, 0, 1, 0, -33, -40, 0, -76, -6, 0, 9, 0, 0, -11, 27, 0, 0, 36, 0, -11, -13, 0, 8, -18, 0, 38, 0, 0, 36, -20, 0, 0, -22, 0, 24, 23, 0, -29, 3, 0, 56, 0, 0, 51, 22, 0, 0, -32, 0, 36, -18, 0, 12, -40, 0, -46, 0, 0, 4, -30, 0, 0, 18, 0, 9, 23, 0, 35, 15, 0, -20, 0, 0, 32, -46, 0, 0, -12, 0, 6, -26, 0, 3, -3, 0, 40, 0, 0, 30, -63, 0, 0, -22, 0, 10, 6, 0, -10, -11, 0, -6, 0, 0, -8, -55, 0, 0, 24, 0, 44, -22, 0, -8, -24, 0, -35, 0, 0, -8, -42, 0, 0, -18, 0, 24, 1, 0, -38, -16, 0, 36, 0, 0, 64, -3, 0, 0, 24, 0, 86, -8, 0, -11, -7, 0, 30, 0, 0, 30, 1, 0, 0, -54, 0, -25, -57, 0, 8, -47, 0, 21, 0, 0, 34, 12, 0, 0, -26, 0, -90, -11, 0, 64, -9, 0, -24, 0, 0, -1, -30, 0, 0, 11, 0, 12, -77, 0, 60, -22, 0, -14, 0, 0, 71, -20, 0, 0, -30, 0, 42, 12, 0, 12, 18, 0, 8, 0, 0, 37, 160, 0, 0, 4, 0, -2, 48, 0, 29, 48, 0, 54, 0, 0, -12, -66, 0, 0, 60, 0, 4, -18, 0, 24, -4, 0, 78, 0, 0, 18, 42, 0, 0, -9, 0, 9, 90, 0, 1, -46, 0, 12, 0, 0, -66, 1, 0, 0, 4, 0, -15, 64, 0, -10, -15, 0, 110, 0, 0, 2, -66, 0, 0, 64, 0, -34, 2, 0, 24, 3, 0, 18, 0, 0, -62, 6, 0, 0, 53, 0, 10, -3, 0, 29, 10, 0, -16, 0, 0, 36, 2, 0, 0, 28, 0, -40, 88, 0, -72, -17, 0, -1, 0, 0, -82, -14, 0, 0, 0, 0, -88, 45, 0, 11, -58, 0, -6, 0, 0, -88, 9, 0, 0, -13, 0, 18, 12, 0, -1, 7, 0, 6, 0, 0, -11, 54, 0, 0, 44, 0, -76, 29, 0, -3, -54, 0, -30, 0, 0, -22, -1, 0, 0, 16, 0, 48, -14, 0, 85, -6, 0, -34, 0, 0, -10, -4, 0, 0, -9, 0, 144, 14, 0, -23, -10, 0, -47, 0, 0, 44, -64, 0, 0, 9, 0, -3, 66, 0, -25, -6, 0, -10, 0, 0, 38, 61, 0, 0, 33, 0, 9, -28, 0, -30, 80, 0, -10, 0, 0, -16, 44, 0, 0, 6, 0, 42, -88, 0, 42, -47, 0, -24, 0, 0, -69, -7, 0, 0, 69, 0, 55, -24, 0, 10, -1, 0, 78, 0, 0, -45, -9, 0, 0, -17, 0, 16, 66, 0, -32, 22, 0, -28, 0, 0, 9, 8, 0, 0, 13, 0, -4, 11, 0, -45, -16, 0, -8, 0, 0, -1, -31, 0, 0, -8, 0, -12, -18, 0, 60, -8, 0, -14, 0, 0, 27, -34, 0, 0, -20, 0, 12, 16, 0, 11, -81, 0, 27, 0, 0, 21, -33, 0, 0, -4, 0, 36, 176, 0, 0, -12, 0, 3, 0, 0, -23, 24, 0, 0, 24, 0, -11, 4, 0, 32, 80, 0, 35, 0, 0, 32, 98, 0, 0, -8, 0, 24, -44, 0, 22, -10, 0, -4, 0, 0, -102, 30, 0, 0, 67, 0, -16, -60, 0, -2, 9, 0, -80, 0, 0, 66, 26, 0, 0, -6, 0, 4, -95, 0, -72, -2, 0, 10, 0, 0, -48, 33, 0, 0, 72, 0, 78, -1, 0, -21, 33, 0, -90, 0, 0, -1, 81, 0, 0, 3, 0, 11, -28, 0, 30, -41, 0, -35, 0, 0, 101, -2, 0, 0, -128, 0, 10, -33, 0, -2, -42, 0, 14, 0, 0, -36, -60, 0, 0, -23, 0, -88, -5, 0, 91, -10, 0, -5, 0, 0, 100, -23, 0, 0, 102, 0, -102, -32, 0, -24, -20, 0, -52, 0, 0, 6, -12, 0, 0, 1, 0, -54, 18, 0, 12, -88, 0, 0, 0, 0, -20, -15, 0, 0, 54, 0, -59, -27, 0, 25, 3, 0, 96, 0, 0, -6, 0, 0, 0, -63, 0, -7, -2, 0, -80, -24, 0, -31, 0, 0, 22, 34, 0, 0, -17, 0, -18, 3, 0, -32, 4, 0, 30, 0, 0, 1, 32, 0, 0, 48, 0, -5, 45, 0, -3, 4, 0, 8, 0, 0, -84, 10, 0, 0, 10, 0, 16, -38, 0, -14, 36, 0, -6, 0, 0, 55, 61, 0, 0, 40, 0, 24, 64, 0, 88, 3, 0, 4, 0, 0, -83, 21, 0, 0, 30, 0, -8, 8, 0, 3, -72, 0, -90, 0, 0, 5, -18, 0, 0, 10, 0, 39, -16, 0, 16, 2, 0, -6, 0, 0, -1, 3, 0, 0, 33, 0, -54, 26, 0, -8, -76, 0, -6, 0, 0, -48, 52, 0, 0, 58, 0, 1, 48, 0, 52, -6, 0, 45, 0, 0, 42, -16, 0, 0, -27, 0, 66, 32, 0, 11, 48, 0, 4, 0, 0, -8, -121, 0, 0, -12, 0, -17, 14, 0, -14, 12, 0, -34, 0, 0, 8, 1, 0, 0, -84, 0, -24, -3, 0, 18, 9, 0, 54, 0, 0, -40, 51, 0, 0, 56, 0, -28, -27, 0, 7, -12, 0, 22, 0, 0, 83, 4, 0, 0, 63, 0, -24, 42, 0, 58, -18, 0, -67, 0, 0, -9, -8, 0, 0, -3, 0, 20, -18, 0, 34, -20, 0, -24, 0, 0, -36, -30, 0, 0, 22, 0, -11, 6, 0, 4, 112, 0, -16, 0, 0, -18, -9, 0, 0, -72, 0, 10, -78, 0, -10, 6, 0, -24, 0, 0, -48, -37, 0, 0, -16, 0, -72, 2, 0, -18, 24, 0, 41, 0, 0, -26, 22, 0, 0, -33, 0, 36, 77, 0, 50, -2, 0, 8, 0, 0, -10, 48, 0, 0, 60, 0, 60, -40, 0, 1, -30, 0, 11, 0, 0, 0, -36, 0, 0, -30, 0, -28, 3, 0, 18, -11, 0, -33, 0, 0, 11, -26, 0, 0, -54, 0, 44, 13, 0, -40, 107, 0, 94, 0, 0, -12, 36, 0, 0, -14, 0, 11, 47, 0, -28, -2, 0, 23, 0, 0, 11, -12, 0, 0, 84, 0, -32, 70, 0, -8, -120, 0, -16, 0, 0, -66, -42, 0, 0, 14, 0, 20, -45, 0, 12, -11, 0, -54, 0, 0, 58, 60, 0, 0, -90, 0, 14, -12, 0, -24, 1, 0, 11, 0, 0, 15, -4, 0, 0, 18, 0, -4, 44, 0, -17, -2, 0, 29, 0, 0, 24, 6, 0, 0, 26, 0, -6, -38, 0, 2, 1, 0, -86, 0, 0, -9, -90, 0, 0, -48, 0, 3, 28, 0, -44, 18, 0, -30, 0, 0, 78, 18, 0, 0, -80, 0, 3, 42, 0, -4, 6, 0, -18, 0, 0, -37, -14, 0, 0, -8, 0, -16, -51, 0, -9, 15, 0, -10, 0, 0, -106, -32, 0, 0, -1, 0, -14, -6, 0, -16, 48, 0, -74, 0, 0, 10, -57, 0, 0, 0, 0, -3, 82, 0, 63, -8, 0, -2, 0, 0, 8, -28, 0, 0, 60, 0, -44, -3, 0, 8, -40, 0, 88, 0, 0, 18, -12, 0, 0, 50, 0, 66, 4, 0, -69, -80, 0, 7, 0, 0, 6, 1, 0, 0, -107, 0, 79, 20, 0, -26, -28, 0, 36, 0, 0, 21, -184, 0, 0, -7, 0, -10, -78, 0, 75, -1, 0, -6, 0, 0, -4, 37, 0, 0, -9, 0, -121, -12, 0, -12, 104, 0, -11, 0, 0, 22, 99, 0, 0, -4, 0, -18, -48, 0, -18, -60, 0, 12, 0, 0, -108, 18, 0, 0, -11, 0, 49, -120, 0, -3, -36, 0, 42, 0, 0, 58, -29, 0, 0, 4, 0, -9, 15, 0, -48, 14, 0, 22, 0, 0, -35, -9, 0, 0, 45, 0, -46, -7, 0, -69, 96, 0, 1, 0, 0, -4, -60, 0, 0, 4, 0, 2, 8, 0, 41, 48, 0, -9, 0, 0, 23, 9, 0, 0, 78, 0, 18, -57, 0, 18, 18, 0, 55, 0, 0, 64, -52, 0, 0, -10, 0, 28, -60, 0, -50, 11, 0, -30, 0, 0, -2, -36, 0, 0, -21, 0, 81, 50, 0, 11, -24, 0, 93, 0, 0, -36, -78, 0, 0, 24, 0, -24, 92, 0, -70, -6, 0, 16, 0, 0, 12, 37, 0, 0, -3, 0, 24, -79, 0, 5, 69, 0, -29, 0, 0, 9, -26, 0, 0, -22, 0, 2, 11, 0, 62, -3, 0, 32, 0, 0, -11, 31, 0, 0, -64, 0, 16, -1, 0, -16, 208, 0, 4, 0, 0, 36, 58, 0, 0, -24, 0, 20, 40, 0, 54, 27, 0, 8, 0, 0, 103, -11, 0, 0, -132, 0, -84, -60, 0, -13, -28, 0, 1, 0, 0, -28, 4, 0, 0, 2, 0, -17, 9, 0, -77, -11, 0, -24, 0, 0, 34, -96, 0, 0, 34, 0, -76, -33, 0, -32, 35, 0, 77, 0, 0, -11, 30, 0, 0, 16, 0, 40, -42, 0, 26, 22, 0, -14, 0, 0, -30, -4, 0, 0, -20, 0, -5, 12, 0, -28, -3, 0, -66, 0, 0, -16, 30, 0, 0, -6, 0, -1, 32, 0, 60, -24, 0, -48, 0, 0, 70, 42, 0, 0, 30, 0, 13, 17, 0, -72, 8, 0, -70, 0, 0, -6, 4, 0, 0, -35, 0, 4, 49, 0, -45, -12, 0, -3, 0, 0, -34, 9, 0, 0, -33, 0, -106, 8, 0, -28, 30, 0, -36, 0, 0, 60, 33, 0, 0, -20, 0, 37, 96, 0, 40, -3, 0, 78, 0, 0, -141, -11, 0, 0, 38, 0, -8, 23, 0, 6, -54, 0, -116, 0, 0, 66, 1, 0, 0, 10, 0, -21, 4, 0, -69, 16, 0, 1, 0, 0, 9, -8, 0, 0, -16, 0, -43, 27, 0, 33, 104, 0, -24, 0, 0, 12, -120, 0, 0, 2, 0, 8, -42, 0, -16, 42, 0, 59, 0, 0, 2, 66, 0, 0, 97, 0, 72, -8, 0, -29, -7, 0, 24, 0, 0, 12, 61, 0, 0, 3, 0, -45, 10, 0, -72, 104, 0, -15, 0, 0, 57, -6, 0, 0, -89, 0, 61, -11, 0, -20, -18, 0, 88, 0, 0, -50, -37, 0, 0, 0, 0, 35, 11, 0, 4, 10, 0, -54, 0, 0, -35, 18, 0, 0, 42, 0, 0, 0, 0, -18, -24, 0, -107, 0, 0, -20, 112, 0, 0, 11, 0, -33, -46, 0, -11, -40, 0, 4, 0, 0, -117, -3, 0, 0, -122, 0, 3, 24, 0, 7, 18, 0, 64, 0, 0, -2, 36, 0, 0, -30, 0, 36, 26, 0, -12, -56, 0, 10, 0, 0, -20, -3, 0, 0, -11, 0, -41, 48, 0, -62, -35, 0, -1, 0, 0, 9, 30, 0, 0, -6, 0, -24, 24, 0, -72, -22, 0, -44, 0, 0, 42, 4, 0, 0, -10, 0, 18, -40, 0, -8, -22, 0, -12, 0, 0, 14, -18, 0, 0, 15, 0, 10, -39, 0, 84, -18, 0, -25, 0, 0, 36, 80, 0, 0, -34, 0, -110, -3, 0, 60, 77, 0, 78, 0, 0, -80, -1, 0, 0, 30, 0, -11, 39, 0, -98, -62, 0, 21, 0, 0, -25, 3, 0, 0, -120, 0, 18, -84, 0, 46, -10, 0, -25, 0, 0, 1, 54, 0, 0, -47, 0, 6, 9, 0, -4, -34, 0, -58, 0, 0, -94, 30, 0, 0, 16, 0, 64, -5, 0, -36, -11, 0, 87, 0, 0, 26, 48, 0, 0, -1, 0, -15, -24, 0, -1, -66, 0, 2, 0, 0, 12, 11, 0, 0, 14, 0, -29, -42, 0, 1, 160, 0, -60, 0, 0, -14, -32, 0, 0, 38, 0, -12, -20, 0, -32, -20, 0, -80, 0, 0, 18, -48, 0, 0, -69, 0, 12, -36, 0, 51, 88, 0, -16, 0, 0, -6, -30, 0, 0, -1, 0, 24, 25, 0, -165, -27, 0, -2, 0, 0, -18, -32, 0, 0, 48, 0, -78, 12, 0, -49, -92, 0, 72, 0, 0, 2, -84, 0, 0, 11, 0, -35, 12, 0, 2, -18, 0, -90, 0, 0, 117, 34, 0, 0, -26, 0, 7, -26, 0, 18, -4, 0, 80, 0, 0, 4, -9, 0, 0, 1, 0, 30, -72, 0, 35, 3, 0, -2, 0, 0, 12, 16, 0, 0, 3, 0, 24, 1, 0, -32, -18, 0, -13, 0, 0, 24, 88, 0, 0, 21, 0, -10, -64, 0, -35, -13, 0, 66, 0, 0, -6, 48, 0, 0, -43, 0, 20, -42, 0, -10, -12, 0, -34, 0, 0, -44, 106, 0, 0, 3, 0, -2, -54, 0, 48, 20, 0, 33, 0, 0, -240, -2, 0, 0, -57, 0, 34, -14, 0, -26, -3, 0, 26, 0, 0, -23, -15, 0, 0, -9, 0, 3, 53, 0, 36, -12, 0, 39, 0, 0, -42, 28, 0, 0, -48, 0, -102, -6, 0, -15, -110, 0, 80, 0, 0, -1, 33, 0, 0, 33, 0, 40, -14, 0, -108], "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.f", "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], [1], [0], [-3], [-1], [0], [1], [-8], [0], [-3], [0], [0], [-1], [6], [0], [0], [3], [0], [1], [6], [0], [-4], [-1], [0], [8], [0], [0], [-2], [3], [0], [0], [11], [0], [-1], [1], [0], [-6], [1], [0], [1], [0], [0], [-3], [-1], [0], [0], [-1], [0], [-6], [10], [0], [4], [4], [0], [1], [0], [0], [3], [-8], [0], [0], [8], [0], [-11], [2], [0], [-3], [1], [0], [4], [0], [0], [-11], [-11], [0], [0], [1], [0], [-1], [7], [0], [-3], [6], [0], [-1], [0], [0], [-2], [-1], [0], [0]]}