# Stored data for newform 9450.2.a.ba, downloaded from the LMFDB on 28 March 2024. {"label": "9450.2.a.ba", "space_label": "9450.2.a", "level": 9450, "weight": 2, "hecke_orbit": 27, "hecke_orbit_code": 117093590345196778, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1553942041358742773, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [6, 1]], [13, [-5, 1]], [17, [6, 1]], [19, [-2, 1]]], "qexp_display": "q-q^{2}+q^{4}+q^{7}-q^{8}-6q^{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": "0.021", "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": "0.030", "prec": 17}, {"__RealLiteral__": 0, "data": "1.033", "prec": 17}, {"__RealLiteral__": 0, "data": "0.059", "prec": 17}, {"__RealLiteral__": 0, "data": "2.132", "prec": 17}, {"__RealLiteral__": 0, "data": "0.103", "prec": 17}, {"__RealLiteral__": 0, "data": "5.457", "prec": 17}], "related_objects": ["EllipticCurve/Q/9450/ba"], "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, -6, 0, 5, -1, 0, 1, -6, 0, 2, 0, 0, 6, 0, 0, 0, -5, 0, 1, -9, 0, 5, -1, 0, 6, 0, 0, -4, -2, 0, 0, 3, 0, -4, -6, 0, 0, -6, 0, 1, 0, 0, 5, 9, 0, 0, -1, 0, 9, 12, 0, -7, -5, 0, 1, 0, 0, 5, -6, 0, 0, 9, 0, -4, 4, 0, 2, -6, 0, -10, 0, 0, -3, 3, 0, 0, 4, 0, 6, 9, 0, 5, 0, 0, 6, 0, 0, -4, -1, 0, 0, 0, 0, -16, -5, 0, -9, 6, 0, 20, 0, 0, 1, 0, 0, 0, -9, 0, -12, -6, 0, 25, 7, 0, 5, 0, 0, -4, -1, 0, 0, -9, 0, 2, -5, 0, 6, 12, 0, -10, 0, 0, -9, -30, 0, 0, 4, 0, -4, 18, 0, 20, -2, 0, 6, 0, 0, -1, 10, 0, 0, 0, 0, -13, 3, 0, -3, 0, 0, 12, 0, 0, -4, 6, 0, 0, -6, 0, -9, 18, 0, -19, -5, 0, 0, 0, 0, 36, -6, 0, 0, 9, 0, -7, 4, 0, 1, -15, 0, 17, 0, 0, 0, -9, 0, 0, 16, 0, 5, -12, 0, 20, 9, 0, -6, 0, 0, 5, -20, 0, 0, -30, 0, -1, -1, 0, 0, 3, 0, 14, 0, 0, 9, 18, 0, 0, 12, 0, 6, 24, 0, 20, -25, 0, -7, 0, 0, 10, -5, 0, 0, -21, 0, 0, 4, 0, 1, -3, 0, -4, 0, 0, 9, 27, 0, 0, -2, 0, 5, 24, 0, -25, -6, 0, -12, 0, 0, -28, 10, 0, 0, -6, 0, 14, 9, 0, 30, 3, 0, 19, 0, 0, -4, -6, 0, 0, 4, 0, -18, 0, 0, -4, -20, 0, 2, 0, 0, 32, -6, 0, 0, -6, 0, -22, 1, 0, -10, -15, 0, 54, 0, 0, 0, -12, 0, 0, 13, 0, -3, -6, 0, -28, 3, 0, 0, 0, 0, 2, -12, 0, 0, -30, 0, 1, 4, 0, -6, 12, 0, 35, 0, 0, 6, -21, 0, 0, 9, 0, -18, 15, 0, -15, 19, 0, 5, 0, 0, 8, 0, 0, 0, 9, 0, -22, -36, 0, 6, -45, 0, -25, 0, 0, -9, 30, 0, 0, 7, 0, -4, 6, 0, 0, -1, 0, 15, 0, 0, 11, -17, 0, 0, -30, 0, 25, 0, 0, 9, 24, 0, 32, 0, 0, -16, 12, 0, 0, -5, 0, 12, -33, 0, 14, -20, 0, -9, 0, 0, -7, 6, 0, 0, -3, 0, -28, -5, 0, 20, 0, 0, 32, 0, 0, 30, 6, 0, 0, 1, 0, 1, -12, 0, -18, 0, 0, -3, 0, 0, -22, -14, 0, 0, 30, 0, -4, -9, 0, -18, 27, 0, 5, 0, 0, -12, 24, 0, 0, -6, 0, -24, -24, 0, -20, -20, 0, 25, 0, 0, 32, 7, 0, 0, 6, 0, 54, -10, 0, 5, 9, 0, 5, 0, 0, 21, 6, 0, 0, 0, 0, -4, -18, 0, -4, -1, 0, 3, 0, 0, 36, 4, 0, 0, -3, 0, 8, -9, 0, -27, -30, 0, -23, 0, 0, 2, 15, 0, 0, -5, 0, -24, -6, 0, 38, 25, 0, 6, 0, 0, 17, 12, 0, 0, -18, 0, -10, 28, 0, -10, 15, 0, -20, 0, 0, 6, 36, 0, 0, -14, 0, -9, -18, 0, 5, -30, 0, -3, 0, 0, 44, -19, 0, 0, 3, 0, -54, 4, 0, 6, 36, 0, 10, 0, 0, -4, 6, 0, 0, 18, 0, 0, -21, 0, 8, 4, 0, 20, 0, 0, -25, -2, 0, 0, -30, 0, -16, -32, 0, 6, 36, 0, -22, 0, 0, 6, 9, 0, 0, 22, 0, -1, 24, 0, 32, 10, 0, 15, 0, 0, 5, -54, 0, 0, 12, 0, -4, 0, 0, 12, -42, 0, -72, 0, 0, -13, -3, 0, 0, 3, 0, 6, 36, 0, -10, 28, 0, -3, 0, 0, 0, 0, 0, 0, 42, 0, -37, -2, 0, 12, -18, 0, -4, 0, 0, 30, -48, 0, 0, -1, 0, -4, 45, 0, 32, 6, 0, -12, 0, 0, -18, -35, 0, 0, 27, 0, -8, -6, 0, 21, 0, 0, -22, 0, 0, -9, 0, 0, 0, 18, 0, -15, 0, 0, -16, 15, 0, -19, 0, 0, 17, -5, 0, 0, 24, 0, 26, -8, 0, 0, -30, 0, 23, 0, 0, -9, 21, 0, 0, 22, 0, 36, 6, 0, 20, -6, 0, 45, 0, 0, -22, 25, 0, 0, 15, 0, 20, 9, 0, -30, 60, 0, 26, 0, 0, -7, 30, 0, 0, 4, 0, -6, 6, 0, -54, 0, 0, 1, 0, 0, -28, -15, 0, 0, 0, 0, -35, -11, 0, 17, -12, 0, 36, 0, 0, 30, 24, 0, 0, -25, 0, 0, 48, 0, 38, -9, 0, -24, 0, 0, -8, -32, 0, 0, -3, 0, 2, 16, 0, -12, 24, 0, 11, 0, 0, 5, -6, 0, 0, -12, 0, 33, 36, 0, 52, -14, 0, 20, 0, 0, 25, 9, 0, 0, 0, 0, -46, 7, 0, -6, 27, 0, 50, 0, 0, 3, 21, 0, 0, 28, 0, 5, 60, 0, 25, -20, 0, 0, 0, 0, 32, -32, 0, 0, -33, 0, 20, -30, 0, -6, 0, 0, -4, 0, 0, -1, -12, 0, 0, -1, 0, 12, -45, 0, -54, 18, 0, 0, 0, 0, -19, 3, 0, 0, 27, 0, -18, 22, 0, 14, -9, 0, 14, 0, 0, -30, 45, 0, 0, 4, 0, 9, -45, 0, 2, 18, 0, -27, 0, 0, -34, -5, 0, 0, -42, 0, 0, 12, 0, -24, 60, 0, -20, 0, 0, 6, -54, 0, 0, 24, 0, 24, 12, 0, -6, 20, 0, 20, 0, 0, 2, -25, 0, 0, -45, 0, -10, -32, 0, -7, -18, 0, -54, 0, 0, -6, 36, 0, 0, -54, 0, 10, 0, 0, -10, -5, 0, -9, 0, 0, 53, -5, 0, 0, -30, 0, -72, -21, 0, -6, 18, 0, 35, 0, 0, 0, -42, 0, 0, 4, 0, 18, -12, 0, 47, 4, 0, 1, 0, 0, -50, -3, 0, 0, 27, 0, 26, -36, 0, -4, 42, 0, 32, 0, 0, 3, 18, 0, 0, -8, 0, 9, -18, 0, -1, 27, 0, 30, 0, 0, 20, 23, 0, 0, 6, 0, -1, -2, 0, -15, 24, 0, 50, 0, 0, 5, 36, 0, 0, 24, 0, 6, 15, 0, 0, -38, 0, -25, 0, 0, -22, -6, 0, 0, -12, 0, 44, -17, 0, -12, -57, 0, -1, 0, 0, 18, -63, 0, 0, 10, 0, -28, 24, 0, 0, 10, 0, -15, 0, 0, 20, 20, 0, 0, 24, 0, 50, -6, 0, -36, 0, 0, -55, 0, 0, 14, 96, 0, 0, 9, 0, 18, -30, 0, -13, -5, 0, 30, 0, 0, -20, 3, 0, 0, -12, 0, 20, -44, 0, 19, 45, 0, -14, 0, 0, -3, 36, 0, 0, 54, 0, -4, 0, 0, -25, -6, 0, -36, 0, 0, -36, -10, 0, 0, 24, 0, 12, 4, 0, -6, -30, 0, -27, 0, 0, -18, 39, 0, 0, 0, 0, 21, -120, 0, -22, -8, 0, -4, 0, 0, -54, -20, 0, 0, 6, 0, 26, 25, 0, 2, 33, 0, 0, 0, 0, 30, 36, 0, 0, 16, 0, 32, -33, 0, -37, -6, 0, -36, 0, 0, 23, 22, 0, 0, 24, 0, 0, -6, 0, -9, 36, 0, -10, 0, 0, -22, 18, 0, 0, 1, 0, -24, -12, 0, -20, -32, 0, -10, 0, 0, -19, -15, 0, 0, 15, 0, 10, -5, 0, 54, 0, 0, 17, 0, 0, -12, 0, 0, 0, 4, 0, 0, 42, 0, -10, -12, 0, 42, 0, 0, -25, 72, 0, 0, -30, 0, 44, 13, 0, 3, 36, 0, 36, 0, 0, -3, 0, 0, 0, -6, 0, -36, 48, 0, 50, 10, 0, -28, 0, 0, 26, 3, 0, 0, -84, 0, -20, 0, 0, 0, 9, 0, -80, 0, 0, -42, 60, 0, 0, 37, 0, 2, 18, 0, -7, -12, 0, 18, 0, 0, 0, 4, 0, 0, 42, 0, 54, -30, 0, 48, -3, 0, -21, 0, 0, 1, -63, 0, 0, 4, 0, -45, -15, 0, 44, -32, 0, -6, 0, 0, -8, 12, 0, 0, 30, 0, 17, 18, 0, 35, 24, 0, -13, 0, 0, -27, 0, 0, 0, 8, 0, 6, -48, 0, -18, -21, 0, 0, 0, 0, 100, 22, 0, 0, -9, 0, -34, 9, 0, 0, -36, 0, -4, 0, 0, -18, -39, 0, 0, 15, 0, 0, -48, 0, 54, 16, 0, -15, 0, 0, 5, 19, 0, 0, 24, 0, 50, -17, 0, 5, -30, 0, 38, 0, 0, -24, -12, 0, 0, -26, 0, 8, 0, 0, 2, 0, 0, 30, 0, 0, 20, -23, 0, 0, -30, 0, -34, 9, 0, -21, 24, 0, -4, 0, 0, -22, -69, 0, 0, -36, 0, -6, 24, 0, -20, -20, 0, 6, 0, 0, -72, -45, 0, 0, -6, 0, -54, 22, 0, -25, -12, 0, 5, 0, 0, -15, -12, 0, 0, -20, 0, -9, 60, 0, 20, 30, 0, -60, 0, 0, -81, -26, 0, 0, 0, 0, 23, 7, 0, -30, -30, 0, -70, 0, 0, -4, 21, 0, 0, 6, 0, -6, -36, 0, -1, 54, 0, 0, 0, 0, -40, -1, 0, 0, -48, 0, 125, 28, 0, 15, 6, 0, 5, 0, 0, 0, 21, 0, 0, 35, 0, 11, 3, 0, 16, -17, 0, 12, 0, 0, 14, -36, 0, 0, -42, 0, 14, -30, 0, -24, -27, 0, -64, 0, 0, 25, -30, 0, 0, 0, 0, -48, 12, 0, -28, -38, 0, 9, 0, 0, -52, 24, 0, 0, 18, 0, 0, 8, 0, 32, 12, 0, -108, 0, 0, 3, 45, 0, 0, -2, 0, -16, 24, 0, -20, 12, 0, -24, 0, 0, 2, -11, 0, 0, -120, 0, -64, -5, 0, 6, 18, 0, -25, 0, 0, 12, 24, 0, 0, -33, 0, -36, 0, 0, -32, -52, 0, 14, 0, 0, 20, -20, 0, 0, 18, 0, 38, -25, 0, -9, -3, 0, 56, 0, 0, 0, -45, 0, 0, 46, 0, -7, 51, 0, -108, 6, 0, -27, 0, 0, 0, -50, 0, 0, -9, 0, -67, -3, 0, -21, 6, 0, 10, 0, 0, -28, -51, 0, 0, -5, 0, -60, 24, 0, -13, -25, 0, 20, 0, 0, -7, 0, 0, 0, 96, 0, 20, -32, 0, 32, -21, 0, 32, 0, 0, 33, -12, 0, 0, -20, 0, 30, 63, 0, 0, 6, 0, 0, 0, 0, -22, 4, 0, 0, 60, 0, 41, 1, 0, 12, 12, 0, 8, 0, 0, 1, 78, 0, 0, -12, 0, 45, -3, 0, -25, 54, 0, -18, 0, 0, -50, 0, 0, 0, 21, 0, -4, 19, 0, -3, 0, 0, -36, 0, 0, -27, 12, 0, 0, 18, 0, -22, 60, 0, 8, -14, 0, 9, 0, 0, 0, -14, 0, 0, 27, 0, -8, 30, 0, -45, 0, 0, -27, 0, 0, -4, -120, 0, 0, -9, 0, 45, -72, 0, 26, -2, 0, -18, 0, 0, 50, 27, 0, 0, -3, 0, 83, 34, 0, 5, -69, 0, -49, 0, 0, 42, 24, 0, 0, 0, 0, -12, 21, 0, -35, 24, 0, -60, 0, 0, -25, 20, 0, 0, -30, 0, -36, -6, 0, 54, 21, 0, 0, 0, 0, -24, 30, 0, 0, -24, 0, -12, 0, 0, 0, 6, 0, -20, 0, 0, -18, -20, 0, 0, -27, 0, 62, -2, 0, 25, 90, 0, -28, 0, 0, 45, -45, 0, 0, 10, 0, 32, 24, 0, -79, 7, 0, 18, 0, 0, -32, 54, 0, 0, -36, 0, 100, 6, 0, -36, -6, 0, -108, 0, 0, 54, -18, 0, 0, -10, 0, 0, -48, 0, 14, 10, 0, 5, 0, 0, -82, 9, 0, 0, 114, 0, -4, -53, 0, 5, -66, 0, 68, 0, 0, 30, -18, 0, 0, 72, 0, 21, 3, 0, -1, 6, 0, -18, 0, 0, 74, -35, 0, 0, 24, 0, 19, 0, 0, 42, 78, 0, 50, 0, 0, -4, 12, 0, 0, -18, 0, 12, 75, 0, -5, -47, 0, -4, 0, 0, 0, -1, 0, 0, -6, 0, 2, 50, 0, 3, -150, 0, -81, 0, 0, -27, 54, 0, 0, -26, 0, 36, 51, 0, 40, 4, 0, -42, 0, 0, 25, -32, 0, 0, -48, 0, -61, -3, 0, -18, 12, 0, 26, 0, 0, 8, 0, 0, 0, -9, 0, 18, 69, 0, -54, 1, 0, -27, 0, 0, -4, -30, 0, 0, -27, 0, -82, -20, 0, -23, 36, 0, -65, 0, 0, -6, 42, 0, 0, 1, 0, 2, -36, 0, -88, 15, 0, -24, 0, 0, -82, -50, 0, 0, 24, 0, 74, -5, 0, -36, 0, 0, 32, 0, 0, -24, -12, 0, 0, -6, 0, -15, 24, 0, -22, 0, 0, 38, 0, 0, 90, 25, 0, 0, 0, 0, 27, 22, 0, 6, -6, 0, 5, 0, 0, 12, -48, 0, 0, -44, 0, 17, -102, 0, -22, 12, 0, 57, 0, 0, -5, 1, 0, 0, 45, 0, 8, -18, 0, 63, -21, 0, -11, 0, 0, -10, -3, 0, 0, 28, 0, -24, -15, 0, 80, 0, 0, -10, 0, 0, 54, 15, 0, 0, 0, 0, 54, -20, 0, -20, -75, 0, -67, 0, 0, -24, -51, 0, 0, -50, 0, 6, 30, 0, 68, 36, 0, 0, 0, 0, 28, 55, 0, 0, -12, 0, -20, -14, 0, -96, 9, 0, -40, 0, 0, -9, -6, 0, 0, -18, 0, 30, -36, 0, 20, 13, 0, 5, 0, 0, 47, -30, 0, 0, 90, 0, 56, 20, 0, -3, -48, 0, 50, 0, 0, 12, -6, 0, 0, -20, 0, 44, -66, 0, -46, -19, 0, -45, 0, 0, -28, 14, 0, 0, -120, 0, 0, 3, 0, -36, 90, 0, -72, 0, 0, -54, 75, 0, 0, 4, 0, 0, 84, 0, -43, 25, 0, 6, 0, 0, 83, 36, 0, 0, 12, 0, -95, 36, 0, 10, -42, 0, 2, 0, 0, -24, 60, 0, 0, -12, 0, -4, 0, 0, -58, 6, 0, 30, 0, 0, 38, 27, 0, 0, -42, 0, 32, 18, 0, -39, -30, 0, 14, 0, 0, 0, -81, 0, 0, -21, 0, 120, 24, 0, 1, 22, 0, 8, 0, 0, -27, 4, 0, 0, 93, 0, -8, 54, 0, 20, 48, 0, 36, 0, 0, -6, -51, 0, 0, -26, 0, -25, 12, 0, 180, -2, 0, -33, 0, 0, -40, 0, 0, 0, -27, 0, 35, -30, 0, -36, 3, 0, -50, 0, 0, -16, 6, 0, 0, -32, 0, 33, -78, 0, 0, 37, 0, 6, 0, 0, -52, 36, 0, 0, -21, 0, -55, -23, 0, -22, -60, 0, -20, 0, 0, -24, 45, 0, 0, 0, 0, 6, -18, 0, -54, 9, 0, -36, 0, 0, -18, 10, 0, 0, -21, 0, 2, 22, 0, -18, 0, 0, -35, 0, 0, -1, 15, 0, 0, 24, 0, 12, -84, 0, 89, 20, 0, 32, 0, 0, -15, 10, 0, 0, -36, 0, -108, 19, 0, 15, -48, 0, 74, 0, 0, -15, -69, 0, 0, -10, 0, 5, -42, 0, -4, -54, 0, 0, 0, 0, -94, -17, 0, 0, -75, 0, -108, 12, 0, 0, -120, 0, 8, 0, 0, -4, 15, 0, 0, 0, 0, -42, -84, 0, -81, 10, 0, 12, 0, 0, 85, -42, 0, 0, 39, 0, 26, 25, 0, -72, 9, 0, 0, 0, 0, 30, 24, 0, 0, -44, 0, -13, -27, 0, -22, -3, 0, -36, 0, 0, -64, -36, 0, 0, -66, 0, 28, 3, 0, 0, -36, 0, -144, 0, 0, 6, -78, 0, 0, 36, 0, -48, -45, 0, -20, -50, 0, -10, 0, 0, 20, 28, 0, 0, -120, 0, -25, -26, 0, -3, -48, 0, -40, 0, 0, 84, 30, 0, 0, 20, 0, 0, 6, 0, -28, 0, 0, -9, 0, 0, -13, 80, 0, 0, 30, 0, 11, 42, 0, -60, -36, 0, -10, 0, 0, -37, 84, 0, 0, -2, 0, -18, 90, 0, 16, 7, 0, 12, 0, 0, -82, -18, 0, 0, -45, 0, 17, 0, 0, -4, -60, 0, -40, 0, 0, -42, 6, 0, 0, -54, 0, 30, 9, 0, -67, -48, 0, 3, 0, 0, 0, 21, 0, 0, -3, 0, 100, -1, 0, 63, 15, 0, 77, 0, 0, -4, 24, 0, 0, 45, 0, 15, 45, 0, 126, -44, 0, 32, 0, 0, -94, 6, 0, 0, 78, 0, -72, 8, 0, -12, -42, 0, 11, 0, 0, -30, 0, 0, 0, -17, 0, -18, -30, 0, 17, -35, 0, -24, 0, 0, -76, 13, 0, 0, 18, 0, -4, 27, 0, 0, -30, 0, 28, 0, 0, -8, 36, 0, 0, -6, 0, 48, 75, 0, 25, 18, 0, 21, 0, 0, 18, 0, 0, 0, 36, 0, 62, -100, 0, -22, -99, 0, 0, 0, 0, 9, 36, 0, 0, 34, 0, -9, 24, 0, 17, 0, 0, 36, 0, 0, -85, 4, 0, 0, -42, 0, 32, 18, 0, 39, 42, 0, 40, 0, 0, -15, -72, 0, 0, 0, 0, 48, 0, 0, -20, -54, 0, -16, 0, 0, 53, 15, 0, 0, 12, 0, -162, -5, 0, -19, -102, 0, -5, 0, 0, -24, 48, 0, 0, -50, 0, 17, 66, 0, 27, -5, 0, 30, 0, 0, -55, -38, 0, 0, 0, 0, 40, 24, 0, 12, -21, 0, 0, 0, 0, 26, -33, 0, 0, -8, 0, 0, -72, 0, -36, -2, 0, 0, 0, 0, 14, -30, 0, 0, 15, 0, -34, -20, 0, 23, -42, 0, -144, 0, 0, 30, -48, 0, 0, 34, 0, -9, 42, 0, 8, 21, 0, -24, 0, 0, 70, 4, 0, 0, 150, 0, -2, 22, 0, 69, 144, 0, -7, 0, 0, 36, -12, 0, 0, 6, 0, -24, -72, 0, -22, 20, 0, 20, 0, 0, -20, -6, 0, 0, 42, 0, 0, 72, 0, 45, -3, 0, -76, 0, 0, 6, -84, 0, 0, 54, 0, -22, 90, 0, -28, 25, 0, 12, 0, 0, 41, -5, 0, 0, -42, 0, -108, 15, 0, 12, 168, 0, 83, 0, 0, 20, -36, 0, 0, 9, 0, -60, 0, 0, 26, -20, 0, -30, 0, 0, 17, 60, 0, 0, -12, 0, 32, 81, 0, 26, 114, 0, 11, 0, 0, 0, -33, 0, 0, -23, 0, -7, -24, 0, 36, 30, 0, 30, 0, 0, -26, 70, 0, 0, 6, 0, -54, 4, 0, -21, 120, 0, 44, 0, 0, -6, -84, 0, 0, 6, 0, 36, 24, 0, 32, 1, 0, -54, 0, 0, 108, 0, 0, 0, 0, 0, 100, 40, 0, 1, 0, 0, 16, 0, 0, 48, -12, 0, 0, -125, 0, -28, -30, 0, 0, -15, 0, -6, 0, 0, -18, -5, 0, 0, -180, 0, 8, 0, 0, -21, -48, 0, 2, 0, 0, -35, 0, 0, 0, -11, 0, -3, -114, 0, -82, -16, 0, 17, 0, 0, -31, -12, 0, 0, 30, 0, -80, -14, 0, 36, 0, 0, -22, 0, 0, 42, 78, 0, 0, -14, 0, 30, -15, 0, 24, 24, 0, 27, 0, 0, 98, 64, 0, 0, -9, 0, 36, -25, 0, 30, 30, 0, -22, 0, 0, 0, -63, 0, 0, 48, 0, -12, -30, 0, -4, 28, 0, 38, 0, 0, -54, -9, 0, 0, 63, 0, 23, 52, 0, -24, 60, 0, -25, 0, 0, -18, -105, 0, 0, 0, 0, -8, 27, 0, 110, -32, 0, -12, 0, 0, 0, 108, 0, 0, 42, 0, 5, -3, 0, -45, 12, 0, 0, 0, 0, 2, -36, 0, 0, 16, 0, -24, 72, 0, -10, 20, 0, -12, 0, 0, 2, 24, 0, 0, 24, 0, -1, -2, 0, 11, 30, 0, -34, 0, 0, 120, -99, 0, 0, 64, 0, 5, -30, 0, 20, -6, 0, -18, 0, 0, -54, 25, 0, 0, -15, 0, 80, -12, 0, -24, 48, 0, 90, 0, 0, 33, -24, 0, 0, 36, 0, 0, 30, 0, -103, 32, 0, 52, 0, 0, -20, -14, 0, 0, -72, 0, 86, -20, 0, 20, -192, 0, 100, 0, 0, -18, -102, 0, 0, -38, 0, 25, 114, 0, -91, 9, 0, 3, 0, 0, 40, -56, 0, 0, 36, 0, 9, 0, 0, 45, 84, 0, 32, 0, 0, -46, -81, 0, 0, 7, 0, -51, 135, 0, 36, 108, 0, -6, 0, 0, 0, 27, 0, 0, 24, 0, 104, 0, 0, 50, 6, 0, -38, 0, 0, 9, 132, 0, 0, 67, 0, 3, -93, 0, 54, 21, 0, -6, 0, 0, -4, -10, 0, 0, 60, 0, 65, 28, 0, 51, 36, 0, -46, 0, 0, 5, 0, 0, 0, 60, 0, -24, 9, 0, 85, 13, 0, 25, 0, 0, 90, -20, 0, 0, 21, 0, 5, 7, 0, 0, 120, 0, 26, 0, 0, -96, 0, 0, 0, -20, 0, 32, -225, 0, -70, -32, 0, 21, 0, 0, -43, -32, 0, 0, 6, 0, -125, -33, 0, 12, 12, 0, 110, 0, 0, 20, 12, 0, 0, -30, 0, -63, 24, 0, -70, 0, 0, -6, 0, 0, 38, 0, 0, 0, 45, 0, 72, 22, 0, -4, 30, 0, -40, 0, 0, -60, -18, 0, 0, -41, 0, -1, -12, 0, -91, -12, 0, -12, 0, 0, -4, -8, 0, 0, 15, 0, 11, -1, 0, -78, -120, 0, 16, 0, 0, 12, 42, 0, 0, -45, 0, 3, -84, 0, -140, 25, 0, -54, 0, 0, -34, 18, 0, 0, 0, 0, 50, 50, 0, 0, -54, 0, 36, 0, 0, -21, -69, 0, 0, 4, 0, -19, 18, 0, 32, 3, 0, 0, 0, 0, -28, 36, 0, 0, 168, 0, 50, 27, 0, -12, -3, 0, 27, 0, 0, -18, -30, 0, 0, 22, 0, -60, 39, 0, 8, -8, 0, 14, 0, 0, -14, -9, 0, 0, -60, 0, 68, 0, 0, 14, -15, 0, 70, 0, 0, -27, 36, 0, 0, 8, 0, -30, -30, 0, 47, 45, 0, 0, 0, 0, 17, 27, 0, 0, -30, 0, -23, 4, 0, 120, -12, 0, 41, 0, 0, 9, 60, 0, 0, -45, 0, 72, -57, 0, -12, -26, 0, 2, 0, 0, -52, 18, 0, 0, 15, 0, -28, -50, 0, -27, 0, 0, 59, 0, 0, 3, -30, 0, 0, -83, 0, -34, 0, 0, 125, -5, 0, 69, 0, 0, 95, 49, 0, 0, -24, 0, 81, -42, 0, -24, 0, 0, 110, 0, 0, 0, -6, 0, 0, 12, 0, -21, 105, 0, 34, 35, 0, -24, 0, 0, 38, 60, 0, 0, 6, 0, -4, 25, 0, -20, 96, 0, 81, 0, 0, 30, 48, 0, 0, 36, 0, 6, -30, 0, 64, -54, 0, -21, 0, 0, -72, 0, 0, 0, 48, 0, -28, 24, 0, -30, -36, 0, 17, 0, 0, 24, -36, 0, 0, 12, 0, 0, -210, 0, 0, 0, 0, -6, 0, 0, 68, 20, 0, 0, 90, 0, 11, 18, 0, 20, -18, 0, -18, 0, 0, 27, -78, 0, 0, -62, 0, 2, -36, 0, -10, -25, 0, -90, 0, 0, 50, 28, 0, 0, -9, 0, 126, -45, 0, 45, 0, 0, 23, 0, 0, -10, -84, 0, 0, -32, 0, -24, 15, 0, -18, 79, 0, -7, 0, 0, -115, -18, 0, 0, -36, 0, -20, 32, 0, -54, -18, 0, 11, 0, 0, 36, 33, 0, 0, -100, 0, -6, 30, 0, 17, 36, 0, 6, 0, 0, -20, 108, 0, 0, 36, 0, 20, -54, 0, 18, -93, 0, -90, 0, 0, 10, 60, 0, 0, 0, 0, 48, -24, 0, -108, -14, 0, -10, 0, 0, 53, -5, 0, 0, 90, 0, -108, 82, 0, -9, -12, 0, 0, 0, 0, -114, -18, 0, 0, 4, 0, 53, 72, 0, 160, -5, 0, 66, 0, 0, 5, -68, 0, 0, -24, 0, -82, -30, 0, 18, 12, 0, 40, 0, 0, -72, 87, 0, 0, -21, 0, -3, -42, 0, 77, 1, 0, -6, 0, 0, 68, 18, 0, 0, 90, 0, -80, -74, 0, 35, -48, 0, 44, 0, 0, -24, -30, 0, 0, -19, 0, 0, -66, 0, 122, -42, 0, -78, 0, 0, 74, -50, 0, 0, -45, 0, -144, 4, 0, -12, 3, 0, -110, 0, 0, 18, 93, 0, 0, -12, 0, -75, -60, 0, -54, 5, 0, 47, 0, 0, -35, 4, 0, 0, -21, 0, 95, 0, 0, 1, -120, 0, 59, 0, 0, 6, 132, 0, 0, -2, 0, -50, 36, 0, 80, -3, 0, 150, 0, 0, 0, 81, 0, 0, -75, 0, 10, 27, 0, -54, 72, 0, 74, 0, 0, 26, -36, 0, 0, -36, 0, -51, 36, 0, 0, -40, 0, -4, 0, 0, 270, 42, 0, 0, 6, 0, -31, -25, 0, 32, 54, 0, -16, 0, 0, 48, 0, 0, 0, 61, 0, 3, 150, 0, 16, 18, 0, -12, 0, 0, 2, -26, 0, 0, 0, 0, -54, -8, 0, 0, -90, 0, 108, 0, 0, 9, -21, 0, 0, -18, 0, -69, -60, 0, 47, 54, 0, -1, 0, 0, 8, 27, 0, 0, -18, 0, -180, 4, 0, 30, -57, 0, -70, 0, 0, 27, -48, 0, 0, 82, 0, 20, -69, 0, -49, 23, 0, -36, 0, 0, -2, 65, 0, 0, 93, 0, 83, 6, 0, -42, 60, 0, -25, 0, 0, -1, 54, 0, 0, -2, 0, 36, 60, 0, 50, 88, 0, -15, 0, 0, 126, 24, 0, 0, 15, 0, 80, 82, 0, 50, -30, 0, -36, 0, 0, -24, 27, 0, 0, -74, 0, 5, -21, 0, -16, 36, 0, 0, 0, 0, 86, -32, 0, 0, 0, 0, -140, 24, 0, 12, -48, 0, -50, 0, 0, 6, 6, 0, 0, 15, 0, -24, 36, 0, -162], "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": "9450.2.a.y", "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], [-6], [0], [5], [-1], [0], [1], [-6], [0], [2], [0], [0], [6], [0], [0], [0], [-5], [0], [1], [-9], [0], [5], [-1], [0], [6], [0], [0], [-4], [-2], [0], [0], [3], [0], [-4], [-6], [0], [0], [-6], [0], [1], [0], [0], [5], [9], [0], [0], [-1], [0], [9], [12], [0], [-7], [-5], [0], [1], [0], [0], [5], [-6], [0], [0], [9], [0], [-4], [4], [0], [2], [-6], [0], [-10], [0], [0], [-3], [3], [0], [0], [4], [0], [6], [9], [0], [5], [0], [0], [6], [0], [0], [-4], [-1], [0], [0]]}