# Stored data for newform 9450.2.a.cx, downloaded from the LMFDB on 25 April 2024.
{"label": "9450.2.a.cx", "space_label": "9450.2.a", "level": 9450, "weight": 2, "hecke_orbit": 76, "hecke_orbit_code": 337769972086351082, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2067753545622901421, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[11, [-5, 1]], [13, [-1, 1]], [17, [7, 1]], [19, [2, 1]]], "qexp_display": "q+q^{2}+q^{4}-q^{7}+q^{8}+5q^{11}+q^{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": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.983", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.995", "prec": 17}], "related_objects": ["EllipticCurve/Q/9450/cx"], "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, 5, 0, 1, -1, 0, 1, -7, 0, -2, 0, 0, 5, 9, 0, 0, 1, 0, -1, -3, 0, 3, 1, 0, -7, 0, 0, -2, -2, 0, 0, -6, 0, 13, 5, 0, 9, 7, 0, 1, 0, 0, 1, 4, 0, 0, -1, 0, -3, -4, 0, 4, 3, 0, 1, 0, 0, 12, -7, 0, 0, -10, 0, -14, -2, 0, -2, -5, 0, -11, 0, 0, -6, 16, 0, 0, 13, 0, 5, -10, 0, -1, 9, 0, 7, 0, 0, 2, 1, 0, 0, 7, 0, -6, 1, 0, 4, 18, 0, 12, 0, 0, -1, 9, 0, 0, -3, 0, -4, 7, 0, 14, 4, 0, 3, 0, 0, 12, 1, 0, 0, -1, 0, 2, 12, 0, -7, -2, 0, 16, 0, 0, -10, 5, 0, 0, -14, 0, -2, -15, 0, 17, -2, 0, -5, 0, 0, 7, -11, 0, 0, -9, 0, -15, -6, 0, 16, 4, 0, -12, 0, 0, 13, 8, 0, 0, 5, 0, -10, 20, 0, -14, -1, 0, 9, 0, 0, -35, 7, 0, 0, 10, 0, 0, 2, 0, 1, -18, 0, -5, 0, 0, 7, 3, 0, 0, -6, 0, 1, -10, 0, -8, 4, 0, 18, 0, 0, -3, 12, 0, 0, -7, 0, -26, -1, 0, 9, 22, 0, 2, 0, 0, -3, 6, 0, 0, -4, 0, 7, 4, 0, -19, 14, 0, 4, 0, 0, -2, 3, 0, 0, 21, 0, 45, 12, 0, 1, 13, 0, 2, 0, 0, -1, 0, 0, 0, 2, 0, 12, 7, 0, 8, -7, 0, -2, 0, 0, -10, 16, 0, 0, 14, 0, -4, -10, 0, 5, 6, 0, 32, 0, 0, -14, 14, 0, 0, -2, 0, -15, 9, 0, -13, 17, 0, -2, 0, 0, 29, -5, 0, 0, 2, 0, 2, 7, 0, -11, -20, 0, -15, 0, 0, -9, 14, 0, 0, -15, 0, -6, -7, 0, -30, 16, 0, 4, 0, 0, -8, -12, 0, 0, 15, 0, -1, 13, 0, 8, -2, 0, 0, 0, 0, 5, 3, 0, 0, -10, 0, 20, 22, 0, -15, -14, 0, -1, 0, 0, -10, 9, 0, 0, -4, 0, 27, -35, 0, 7, -3, 0, 8, 0, 0, 10, 9, 0, 0, 0, 0, 2, 9, 0, -63, 1, 0, -18, 0, 0, 25, -5, 0, 0, -12, 0, 3, 7, 0, 3, -10, 0, 7, 0, 0, -6, 4, 0, 0, 1, 0, -10, 3, 0, 22, -8, 0, 4, 0, 0, -4, 18, 0, 0, -12, 0, -26, -3, 0, 12, -18, 0, 24, 0, 0, -7, 18, 0, 0, -26, 0, -1, -12, 0, -30, 9, 0, 22, 0, 0, -20, 2, 0, 0, 30, 0, 18, -3, 0, 6, 22, 0, -12, 0, 0, -4, 65, 0, 0, 7, 0, 4, -38, 0, -2, -19, 0, 14, 0, 0, -24, 4, 0, 0, -24, 0, 21, -2, 0, 3, 10, 0, -16, 0, 0, 21, -27, 0, 0, 45, 0, 12, -11, 0, 14, 1, 0, 13, 0, 0, 35, 2, 0, 0, 18, 0, 39, -1, 0, 0, -21, 0, 58, 0, 0, 2, -6, 0, 0, 12, 0, 7, 5, 0, 22, 8, 0, -7, 0, 0, -35, -2, 0, 0, 6, 0, 11, -10, 0, 16, -30, 0, 13, 0, 0, 14, 0, 0, 0, -4, 0, -10, -24, 0, 28, 5, 0, 6, 0, 0, 0, 32, 0, 0, -16, 0, 20, -14, 0, 14, 40, 0, -6, 0, 0, -2, 37, 0, 0, -15, 0, 9, 34, 0, 9, -13, 0, 17, 0, 0, -2, -2, 0, 0, 7, 0, -47, 29, 0, -5, 15, 0, -6, 0, 0, 2, 10, 0, 0, 2, 0, 7, 14, 0, -12, -11, 0, -20, 0, 0, 1, -15, 0, 0, -12, 0, -19, -9, 0, 14, -8, 0, -20, 0, 0, -15, 10, 0, 0, -6, 0, -7, 12, 0, -20, -30, 0, 16, 0, 0, -27, 4, 0, 0, 20, 0, -36, -8, 0, -12, 12, 0, -2, 0, 0, 15, -8, 0, 0, -1, 0, 13, 4, 0, -26, 8, 0, -2, 0, 0, 42, 0, 0, 0, 45, 0, 4, 5, 0, 3, -7, 0, -32, 0, 0, -10, 27, 0, 0, 20, 0, 22, 8, 0, 6, -15, 0, -14, 0, 0, 44, -1, 0, 0, -91, 0, -54, -10, 0, 9, 60, 0, -34, 0, 0, -4, -41, 0, 0, 27, 0, -35, -18, 0, 13, 7, 0, -3, 0, 0, -29, 8, 0, 0, -36, 0, -12, 10, 0, 9, -4, 0, -9, 0, 0, 0, 22, 0, 0, 2, 0, 9, 12, 0, -50, -63, 0, 1, 0, 0, 29, -18, 0, 0, -9, 0, 4, 25, 0, -5, 30, 0, -49, 0, 0, -12, -70, 0, 0, 3, 0, 7, 36, 0, 2, 3, 0, -10, 0, 0, -26, 7, 0, 0, 30, 0, -20, -6, 0, 4, 30, 0, -16, 0, 0, 1, -7, 0, 0, -10, 0, 3, -26, 0, -20, 22, 0, -8, 0, 0, -14, 4, 0, 0, -18, 0, -55, -4, 0, 18, 2, 0, -54, 0, 0, -12, -33, 0, 0, -26, 0, -3, -55, 0, 12, 12, 0, -18, 0, 0, 15, 24, 0, 0, -42, 0, 20, -7, 0, 18, 15, 0, -12, 0, 0, -26, -14, 0, 0, -1, 0, -12, -9, 0, -28, -30, 0, 9, 0, 0, -7, 22, 0, 0, -12, 0, 80, -20, 0, 2, 1, 0, -43, 0, 0, 30, -10, 0, 0, 18, 0, -3, -54, 0, -2, 6, 0, 22, 0, 0, -4, -12, 0, 0, -39, 0, -54, -4, 0, 65, 12, 0, -14, 0, 0, 7, 15, 0, 0, 4, 0, -38, 2, 0, -22, -2, 0, -19, 0, 0, 18, 14, 0, 0, 21, 0, -16, -24, 0, 4, 21, 0, -50, 0, 0, -24, 9, 0, 0, 21, 0, -2, 117, 0, -45, 3, 0, 10, 0, 0, 11, -16, 0, 0, -5, 0, 28, 21, 0, -27, -8, 0, -3, 0, 0, 45, 42, 0, 0, 12, 0, -11, 11, 0, 12, 14, 0, 1, 0, 0, -11, 13, 0, 0, 18, 0, -20, 35, 0, 2, -28, 0, -17, 0, 0, 18, 15, 0, 0, 39, 0, -1, 4, 0, -18, 0, 0, -21, 0, 0, -17, 58, 0, 0, -22, 0, 26, 2, 0, -6, 10, 0, 16, 0, 0, 12, 6, 0, 0, 7, 0, 5, 16, 0, 63, 22, 0, 8, 0, 0, -20, -7, 0, 0, 44, 0, 35, -35, 0, -2, 9, 0, -7, 0, 0, 6, -56, 0, 0, 11, 0, -10, 34, 0, 35, 16, 0, -30, 0, 0, -19, 13, 0, 0, 8, 0, -43, 14, 0, 0, 9, 0, -10, 0, 0, -4, -30, 0, 0, -10, 0, -24, -84, 0, 15, 28, 0, 5, 0, 0, -6, 6, 0, 0, -18, 0, 54, 0, 0, 32, -10, 0, -8, 0, 0, -16, -8, 0, 0, 20, 0, -14, -4, 0, 0, 14, 0, 40, 0, 0, 90, -6, 0, 0, 3, 0, 12, -2, 0, 37, 28, 0, 18, 0, 0, -15, -54, 0, 0, 9, 0, 34, 60, 0, 18, 9, 0, -13, 0, 0, 70, 17, 0, 0, -8, 0, -35, -2, 0, -2, -46, 0, 36, 0, 0, 7, -32, 0, 0, -47, 0, 29, -45, 0, 16, -5, 0, 15, 0, 0, -34, -6, 0, 0, 98, 0, 45, 2, 0, 10, -39, 0, -10, 0, 0, 2, -20, 0, 0, 7, 0, 14, 43, 0, 2, -12, 0, -11, 0, 0, 14, -20, 0, 0, -18, 0, -24, 1, 0, -15, -42, 0, -25, 0, 0, -12, -14, 0, 0, -19, 0, -9, -36, 0, -36, 14, 0, -8, 0, 0, -8, -20, 0, 0, -1, 0, 22, -15, 0, 10, -46, 0, 35, 0, 0, -6, 7, 0, 0, -7, 0, 12, -54, 0, -17, -20, 0, -30, 0, 0, -38, 16, 0, 0, 15, 0, 39, -27, 0, 4, -10, 0, -6, 0, 0, 20, 77, 0, 0, -36, 0, -8, 20, 0, 0, -12, 0, 12, 0, 0, -36, -2, 0, 0, -38, 0, -21, 15, 0, -8, -53, 0, -33, 0, 0, -1, -36, 0, 0, 13, 0, 4, 18, 0, -40, -26, 0, 8, 0, 0, 28, -2, 0, 0, 18, 0, 5, 42, 0, 0, 60, 0, 71, 0, 0, 45, 36, 0, 0, 4, 0, 5, 50, 0, -112, 3, 0, -7, 0, 0, 12, -32, 0, 0, -3, 0, -2, -10, 0, 27, 16, 0, 32, 0, 0, 20, -63, 0, 0, 22, 0, 8, -54, 0, -5, 6, 0, -15, 0, 0, -2, -14, 0, 0, -3, 0, 50, 44, 0, -1, 21, 0, 52, 0, 0, -91, 10, 0, 0, -54, 0, -10, 9, 0, -7, 9, 0, 60, 0, 0, 8, -34, 0, 0, -30, 0, -44, -4, 0, -41, 0, 0, -57, 0, 0, 27, 66, 0, 0, -35, 0, -18, 20, 0, 22, 13, 0, 7, 0, 0, -10, -3, 0, 0, 66, 0, 70, -29, 0, 8, 12, 0, 3, 0, 0, -36, -18, 0, 0, -12, 0, 10, 80, 0, 8, 9, 0, -4, 0, 0, -12, -9, 0, 0, 108, 0, 10, 0, 0, 22, 7, 0, 14, 0, 0, 2, -46, 0, 0, 9, 0, 12, 10, 0, 26, -50, 0, -63, 0, 0, -2, 1, 0, 0, -77, 0, 14, 29, 0, -18, -32, 0, -46, 0, 0, -9, 65, 0, 0, 4, 0, 25, -22, 0, -26, -5, 0, 30, 0, 0, 23, -49, 0, 0, -56, 0, -2, -12, 0, -70, -32, 0, 26, 0, 0, 3, 30, 0, 0, 7, 0, 36, -3, 0, -60, 2, 0, 3, 0, 0, 51, -10, 0, 0, -6, 0, -90, -26, 0, 7, -24, 0, -75, 0, 0, 30, 12, 0, 0, -20, 0, -6, -14, 0, 12, 4, 0, 30, 0, 0, -80, -16, 0, 0, 85, 0, -12, 1, 0, -7, 34, 0, 24, 0, 0, -10, -4, 0, 0, 3, 0, -26, -126, 0, -5, -20, 0, 22, 0, 0, 19, -8, 0, 0, 20, 0, 13, -14, 0, 4, -21, 0, -12, 0, 0, -18, -1, 0, 0, -55, 0, -4, 30, 0, 12, 18, 0, 2, 0, 0, -49, -54, 0, 0, -28, 0, 49, -12, 0, -33, 35, 0, 2, 0, 0, -26, 34, 0, 0, -3, 0, -55, -14, 0, -40, 12, 0, 12, 0, 0, 51, -18, 0, 0, 42, 0, -44, 15, 0, 24, -21, 0, -41, 0, 0, -42, -78, 0, 0, 20, 0, -7, -12, 0, -45, 18, 0, 15, 0, 0, -52, -12, 0, 0, -2, 0, -52, -26, 0, -14, -12, 0, 0, 0, 0, -1, -75, 0, 0, -12, 0, -9, -13, 0, -7, -28, 0, -30, 0, 0, 16, 9, 0, 0, -69, 0, -2, -7, 0, 22, -99, 0, -126, 0, 0, -12, 47, 0, 0, 80, 0, -20, -12, 0, 51, 2, 0, 1, 0, 0, 20, -43, 0, 0, 0, 0, -4, 30, 0, -10, 33, 0, 126, 0, 0, 18, -84, 0, 0, -3, 0, -54, -60, 0, 72, -2, 0, 6, 0, 0, -43, 22, 0, 0, 36, 0, 26, -4, 0, -12, 68, 0, -21, 0, 0, -39, -7, 0, 0, -54, 0, -4, 6, 0, 12, 65, 0, 12, 0, 0, -8, -14, 0, 0, 3, 0, 40, 7, 0, 15, -6, 0, 144, 0, 0, 4, -9, 0, 0, -38, 0, 2, -14, 0, -63, -22, 0, -2, 0, 0, -42, -19, 0, 0, 32, 0, 14, 18, 0, 14, -15, 0, 10, 0, 0, 21, -36, 0, 0, -16, 0, -24, 6, 0, -8, 4, 0, 21, 0, 0, 12, -50, 0, 0, -8, 0, 17, -24, 0, 9, -14, 0, 100, 0, 0, 21, 8, 0, 0, -2, 0, 117, 37, 0, 4, -45, 0, 3, 0, 0, 8, 10, 0, 0, -70, 0, -56, 11, 0, -16, 40, 0, 35, 0, 0, -5, -14, 0, 0, 28, 0, 21, -6, 0, 16, -27, 0, -8, 0, 0, 38, -3, 0, 0, 91, 0, -32, 45, 0, 42, -24, 0, 70, 0, 0, 12, -36, 0, 0, -11, 0, 11, 32, 0, 7, 12, 0, 14, 0, 0, -90, 1, 0, 0, -14, 0, -25, -11, 0, 13, -98, 0, 30, 0, 0, 18, 25, 0, 0, -20, 0, 35, 42, 0, -24, 2, 0, -28, 0, 0, 36, -17, 0, 0, 28, 0, -43, 18, 0, 15, -75, 0, 67, 0, 0, 39, -9, 0, 0, -1, 0, 4, 87, 0, 50, -18, 0, 0, 0, 0, 13, -21, 0, 0, -36, 0, 82, -17, 0, 58, 42, 0, -15, 0, 0, -22, 0, 0, 0, 26, 0, 2, 38, 0, 38, -6, 0, 10, 0, 0, 36, 16, 0, 0, -47, 0, -16, 12, 0, 6, -18, 0, -29, 0, 0, 7, 9, 0, 0, 5, 0, 16, -84, 0, -7, 63, 0, 22, 0, 0, -90, 8, 0, 0, 4, 0, -24, -20, 0, -7, -2, 0, 80, 0, 0, 44, 8, 0, 0, 35, 0, -35, -25, 0, -2, -2, 0, 9, 0, 0, -25, -7, 0, 0, -30, 0, -52, 6, 0, -56, -59, 0, 2, 0, 0, 11, -34, 0, 0, -10, 0, 34, 20, 0, 60, 35, 0, 16, 0, 0, 7, -30, 0, 0, 18, 0, 15, -19, 0, 13, -30, 0, 5, 0, 0, 8, -66, 0, 0, -43, 0, 14, 8, 0, 22, 0, 0, 9, 0, 0, -8, -10, 0, 0, -14, 0, -42, -4, 0, -30, 42, 0, -50, 0, 0, -10, -14, 0, 0, -24, 0, -84, 52, 0, -53, 15, 0, 28, 0, 0, 38, 5, 0, 0, 33, 0, 35, -6, 0, 6, -23, 0, -28, 0, 0, -18, 7, 0, 0, 54, 0, 0, -30, 0, 47, 32, 0, -10, 0, 0, 30, -8, 0, 0, -40, 0, 63, -16, 0, -8, 20, 0, 14, 0, 0, 20, -84, 0, 0, -14, 0, -4, -1, 0, 10, 0, 0, 14, 0, 0, 28, 40, 0, 0, 24, 0, -14, 90, 0, -6, -60, 0, 8, 0, 0, 3, -112, 0, 0, 12, 0, -2, -54, 0, -78, 37, 0, 28, 0, 0, -82, 18, 0, 0, 65, 0, 66, -15, 0, -54, -15, 0, -18, 0, 0, 9, -69, 0, 0, 34, 0, 60, -48, 0, 1, 18, 0, 9, 0, 0, -48, -13, 0, 0, 39, 0, -24, 70, 0, 17, -13, 0, 24, 0, 0, -8, 69, 0, 0, -35, 0, -2, 2, 0, -35, -2, 0, -46, 0, 0, -62, 36, 0, 0, -40, 0, 0, 7, 0, -32, -24, 0, -33, 0, 0, -47, -130, 0, 0, 29, 0, -45, 19, 0, 162, 16, 0, -5, 0, 0, -55, 15, 0, 0, -3, 0, -82, -34, 0, -6, -30, 0, -24, 0, 0, 98, 10, 0, 0, 45, 0, 2, 2, 0, 28, 10, 0, -39, 0, 0, 110, -10, 0, 0, -24, 0, 74, 2, 0, -20, 108, 0, 0, 0, 0, 7, -22, 0, 0, 14, 0, 43, 10, 0, -5, 2, 0, -12, 0, 0, 15, -11, 0, 0, -65, 0, 105, 14, 0, -20, -52, 0, -34, 0, 0, -18, 27, 0, 0, -24, 0, 1, -6, 0, -76, -15, 0, -42, 0, 0, 59, -25, 0, 0, -18, 0, 30, -12, 0, -14, -119, 0, 10, 0, 0, -19, 48, 0, 0, -9, 0, -36, -9, 0, 30, -36, 0, 14, 0, 0, -5, -8, 0, 0, 18, 0, -2, -8, 0, -20, 4, 0, 81, 0, 0, -1, 4, 0, 0, 22, 0, -15, -40, 0, -27, 10, 0, -46, 0, 0, 52, 35, 0, 0, -87, 0, 52, -6, 0, 7, 20, 0, 20, 0, 0, -7, 3, 0, 0, 12, 0, -54, 3, 0, -32, -17, 0, -20, 0, 0, 96, -30, 0, 0, -95, 0, -8, -38, 0, 16, 35, 0, -94, 0, 0, 15, -37, 0, 0, 39, 0, -27, -49, 0, -16, 4, 0, -10, 0, 0, 6, -6, 0, 0, -9, 0, 45, 20, 0, 77, -73, 0, -43, 0, 0, -36, 48, 0, 0, -8, 0, 20, -36, 0, 28, 0, 0, -12, 0, 0, 13, 12, 0, 0, 66, 0, -58, -36, 0, -2, -10, 0, 0, 0, 0, -38, -9, 0, 0, -21, 0, 15, -10, 0, -72, -8, 0, -53, 0, 0, 63, -33, 0, 0, -93, 0, -8, -1, 0, -36, -72, 0, 20, 0, 0, 13, -45, 0, 0, 4, 0, 18, -30, 0, 105, -40, 0, -26, 0, 0, 68, 8, 0, 0, 105, 0, -28, 28, 0, -2, -17, 0, -25, 0, 0, 18, 126, 0, 0, 5, 0, 42, 70, 0, 92, 0, 0, 60, 0, 0, -89, 71, 0, 0, -6, 0, 4, 45, 0, 36, 12, 0, -37, 0, 0, 4, -6, 0, 0, 5, 0, 50, -59, 0, -3, -112, 0, 3, 0, 0, 65, -7, 0, 0, 30, 0, -50, 12, 0, -32, -22, 0, -28, 0, 0, -3, 10, 0, 0, -2, 0, -10, 10, 0, 28, 27, 0, 16, 0, 0, -22, 32, 0, 0, -38, 0, -7, 20, 0, -63, 28, 0, -34, 0, 0, 22, 84, 0, 0, 8, 0, -54, -20, 0, 156, -5, 0, 6, 0, 0, -6, -15, 0, 0, -4, 0, 0, -2, 0, -14, 54, 0, -26, 0, 0, -3, 53, 0, 0, 50, 0, 44, -3, 0, 60, -1, 0, 21, 0, 0, 2, 52, 0, 0, 108, 0, 22, -91, 0, 10, 17, 0, -21, 0, 0, -54, -3, 0, 0, -10, 0, 9, 1, 0, -56, -7, 0, 9, 0, 0, -22, 60, 0, 0, 22, 0, -98, 8, 0, -34, 18, 0, 35, 0, 0, -30, -98, 0, 0, -44, 0, -4, -66, 0, 18, -41, 0, 0, 0, 0, 2, -57, 0, 0, 40, 0, -14, 27, 0, 66, 18, 0, 4, 0, 0, -35, 84, 0, 0, -18, 0, 20, 36, 0, 103, 22, 0, 13, 0, 0, 6, 7, 0, 0, -27, 0, -9, -10, 0, -3, 12, 0, -32, 0, 0, 66, -60, 0, 0, 70, 0, -29, 6, 0, 26, 8, 0, 12, 0, 0, 13, 3, 0, 0, 28, 0, -140, -36, 0, -18, -50, 0, 47, 0, 0, -12, -130, 0, 0, 10, 0, 80, 18, 0, 2, 8, 0, 9, 0, 0, 77, -4, 0, 0, -32, 0, -24, -12, 0, -9, 98, 0, 56, 0, 0, 108, 92, 0, 0, 10, 0, 0, -8, 0, 70, 22, 0, 7, 0, 0, 30, 14, 0, 0, -18, 0, -54, 2, 0, -46, 4, 0, -20, 0, 0, 9, -20, 0, 0, 12, 0, 10, 88, 0, 1, 26, 0, -50, 0, 0, -16, -63, 0, 0, 21, 0, -19, -2, 0, 1, 54, 0, -182, 0, 0, -77, 12, 0, 0, 14, 0, 29, 84, 0, -18, -18, 0, -32, 0, 0, 30, -46, 0, 0, -36, 0, -47, -9, 0, 65, 85, 0, 111, 0, 0, 4, -8, 0, 0, 25, 0, -22, 160, 0, 70, -26, 0, -5, 0, 0, 92, 30, 0, 0, 78, 0, -18, 23, 0, -49, 144, 0, 20, 0, 0, -56, -66, 0, 0, -2, 0, -12, 16, 0, 24, -70, 0, -32, 0, 0, -106, 26, 0, 0, -17, 0, 70, 3, 0, 30, -30, 0, 10, 0, 0, 7, 16, 0, 0, 36, 0, -3, 66, 0, -18, -60, 0, 2, 0, 0, -70, 3, 0, 0, 72, 0, 41, 51, 0, -10, -39, 0, 4, 0, 0, -6, 21, 0, 0, -90, 0, -26, -22, 0, 112, 7, 0, -24, 0, 0, -27, -75, 0, 0, 0, 0, 12, 30, 0, 12, -16, 0, 45, 0, 0, -20, 20, 0, 0, -6, 0, -14, -11, 0, 36, 12, 0, 4, 0, 0, -8, 30, 0, 0, -65, 0, -14, -80, 0, -16, 54, 0, 1, 0, 0, 85, -70, 0, 0, -12, 0, 1, 0, 0, -32, -7, 0, 34, 0, 0, -70, 24, 0, 0, 13, 0, -82, -10, 0, -4, -48, 0, 126, 0, 0, 3, 38, 0, 0, -26, 0, -126, -30, 0, -53, -5, 0, -20, 0, 0, 2, 22, 0, 0, -7, 0, -1, 19, 0, -8, 145, 0, 36, 0, 0, 20, 35, 0, 0, 13, 0, -14, 30, 0, -92, 4, 0, -21, 0, 0, -143, -12, 0, 0, -40, 0, -96, -18, 0, -1, 72, 0, 24, 0, 0, -55, 78, 0, 0, -4, 0, 30, 0, 0, 10, 12, 0, 18, 0, 0, -135, 2, 0, 0, -98, 0, 80, -49, 0, -54, 24, 0, 28, 0, 0, -28, 10, 0, 0, 49, 0, -12, 4, 0, -21, -33, 0, 35, 0, 0, -54, 2, 0, 0, -22, 0, 92, -26, 0, 34, 90, 0, 82, 0, 0, -3, 153, 0, 0, -55, 0, -14, -10, 0, -43, -40, 0, 12, 0, 0, -100, 12, 0, 0, -88, 0, 16, 51, 0, -18, 7, 0, 20, 0, 0, 42, 27, 0, 0, -44, 0, 15, -42, 0, -11, 24, 0, -21, 0, 0, 118, -41, 0, 0, 27, 0, 8, -42, 0, -78, -48, 0, 41, 0, 0, 20, 2, 0, 0, -7, 0, -12, -105, 0, -68, -45, 0, 18, 0, 0, 55, 15, 0, 0, 48, 0, 70, -52, 0, -12, -12, 0, -35, 0, 0, -2, 11, 0, 0, -52, 0, -26, 208, 0, 100, -14, 0, -12, 0, 0, -14, 0, 0, 0, -110, 0, 96, -1, 0, -75, 56, 0, -4, 0, 0, -12, -47, 0, 0, -9, 0, -13, -16, 0, -10, -7, 0, -28, 0, 0, 40, -30, 0, 0, 63, 0, -21, 16, 0, 9, 114, 0, -35, 0, 0, -69, -105, 0, 0, -2, 0, -7, -20, 0, -1, 22, 0, -99, 0, 0, 58, -126, 0, 0, -150, 0, -19, -12, 0, 47, -18, 0, 60, 0, 0, 80, 14, 0, 0, -20, 0, -12, 19, 0, -39, 51, 0, 2, 0, 0, 0, 1, 0, 0, 38, 0, 20, 20, 0, -43, 30, 0, -4, 0, 0, 0, -36, 0, 0, -4, 0, 30, 21, 0, -70, -10, 0, 33, 0, 0, 38, 126, 0, 0, 42, 0, -58, 18, 0, -84, -40, 0, -108, 0, 0, -3, -77, 0, 0, -54, 0, -60, 18, 0, -45, 72, 0, -2, 0, 0, 68, 6, 0, 0, 6, 0, 67, -43, 0, 22, -14, 0, 86, 0, 0, 36, 36, 0, 0, 26, 0, -4, -135, 0, 42, -12, 0, 68, 0, 0, 32, -21, 0, 0, 90, 0, -40, -39, 0, -7, 52, 0, -91, 0, 0, -54, -5, 0, 0, -4, 0, 6, -27, 0, 10, 12, 0, 65, 0, 0, -22, 12, 0, 0, 182, 0, 32, -8, 0, -14, 12, 0, 3, 0, 0, 3, 64, 0, 0, 40, 0, 7, 14, 0, 12, 15, 0, -6, 0, 0, -10, 144, 0, 0, 51, 0, -34, 4, 0, -9, -130, 0, 35, 0, 0, -38, -98, 0, 0, 2, 0, -14, 0, 0, 36, -63, 0, -22, 0, 0, -46, -2, 0, 0, 105, 0, 82, -42, 0, -19, -6, 0, -154, 0, 0, 32, 99, 0, 0, 14, 0, 18, -56, 0, -11, 14, 0, -15, 0, 0, 38, 10, 0, 0, 84, 0, 15, 21, 0, -36, -108, 0, -86, 0, 0, -16, -14, 0, 0, -24, 0, 6, 30, 0, 112, -8, 0, 4, 0, 0, 28, 21, 0, 0, -84, 0, -13, 12, 0, -50, 106, 0, -31, 0, 0, -8, -98, 0, 0, 17, 0, -24, -72, 0, 0, 9, 0, -14, 0, 0, 36, 100, 0, 0, 0, 0, 70, 21, 0, 8, -2, 0, 110, 0, 0, -2, -48, 0, 0, 117, 0, 37, -36, 0, -42, 4, 0, -45, 0, 0, -42, 3, 0, 0, -75, 0, 6, 8, 0, 10, -12, 0, 72, 0, 0, -70, 24, 0, 0, -56, 0, 11, 86, 0, 29, -16, 0, 40, 0, 0, -28, 35, 0, 0, 86, 0, 93, -5, 0, -14, -88, 0, 16, 0, 0, 28, 22, 0, 0, 21, 0, -6, 57, 0, -94, 16, 0, -27, 0, 0, -64, -8, 0, 0, -48, 0, -24, 38, 0, -3, -50, 0, 0, 0, 0, 91, 2, 0, 0, -32, 0, 45, -120, 0, -106, 42, 0, -24, 0, 0, 16, 70, 0, 0, -3, 0, -28, 12, 0, -36, 16, 0, 2, 0, 0, -11, 27, 0, 0, 11, 0, 32, -22, 0, -20, 7, 0, 12, 0, 0, 48, 14, 0, 0, 48, 0, 9, -90, 0, 1, 133, 0, -14, 0, 0, -14, 135, 0, 0, -25, 0, -11, -40, 0, -32, 13, 0, -98, 0, 0, 180, 30, 0, 0, -20, 0, 6, 18, 0, 25, -15, 0, 17, 0, 0, -20, 100, 0, 0, 35, 0, 42, 63, 0, -42, -24, 0, 2, 0, 0, -15, -28, 0, 0, -37, 0, 6, 36, 0, -17, -44, 0, -47, 0, 0, 28, -126, 0, 0, -43, 0, 18, 40, 0, 26, 15, 0, -75, 0, 0, -94, 67, 0, 0, -18, 0, -70, 39, 0, -9, -44, 0, 40, 0, 0, -1, -34, 0, 0, 4, 0, 87, 14, 0, 21, 50, 0, -18, 0, 0, -9, 0, 0, 0, -25, 0, 45, 13, 0, -21, 1, 0, -90, 0, 0, -36, 36, 0, 0, 82, 0, -17, -67, 0, 75, 58, 0, 42, 0, 0, 52, -15, 0, 0, -30, 0, 56, -22, 0, 0, -6, 0, 2, 0, 0, 26, -76, 0, 0, 2, 0, 38, 52, 0, -28, 38, 0, -6, 0, 0, -147, 10, 0, 0, -58, 0, 56, 36, 0, 16, -7, 0, 45, 0, 0, -47, 54, 0, 0, -16, 0, 12, 70, 0, 47, 6, 0, -18, 0, 0, 42, -29, 0, 0, -315, 0, -30, 7, 0, 9, 56, 0, 48, 0, 0, 5, -44, 0, 0, 16, 0, -84, -15, 0, 45], "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.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], [0], [1], [0], [0], [-1], [1], [0], [0], [5], [0], [1], [-1], [0], [1], [-7], [0], [-2], [0], [0], [5], [9], [0], [0], [1], [0], [-1], [-3], [0], [3], [1], [0], [-7], [0], [0], [-2], [-2], [0], [0], [-6], [0], [13], [5], [0], [9], [7], [0], [1], [0], [0], [1], [4], [0], [0], [-1], [0], [-3], [-4], [0], [4], [3], [0], [1], [0], [0], [12], [-7], [0], [0], [-10], [0], [-14], [-2], [0], [-2], [-5], [0], [-11], [0], [0], [-6], [16], [0], [0], [13], [0], [5], [-10], [0], [-1], [9], [0], [7], [0], [0], [2], [1], [0], [0]]}