# Stored data for newform 9450.2.a.a, downloaded from the LMFDB on 24 April 2024.
{"label": "9450.2.a.a", "space_label": "9450.2.a", "level": 9450, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33563882, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 719449830771054959, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [6, 1]], [13, [2, 1]], [17, [3, 1]], [19, [-2, 1]]], "qexp_display": "q-q^{2}+q^{4}-q^{7}-q^{8}-6q^{11}-2q^{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": "0.044", "prec": 17}, {"__RealLiteral__": 0, "data": "1.039", "prec": 17}, {"__RealLiteral__": 0, "data": "0.103", "prec": 17}, {"__RealLiteral__": 0, "data": "2.174", "prec": 17}, {"__RealLiteral__": 0, "data": "0.271", "prec": 17}, {"__RealLiteral__": 0, "data": "5.616", "prec": 17}], "related_objects": ["EllipticCurve/Q/9450/a"], "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, -2, 1, 0, 1, -3, 0, 2, 0, 0, 6, -9, 0, 0, 2, 0, -1, -6, 0, -4, -1, 0, 3, 0, 0, -8, -2, 0, 0, 9, 0, 1, -6, 0, 9, 6, 0, 1, 0, 0, -2, -6, 0, 0, 1, 0, 6, -15, 0, -1, 4, 0, 1, 0, 0, 7, -3, 0, 0, -3, 0, -14, 8, 0, 2, 6, 0, 14, 0, 0, -9, 9, 0, 0, -1, 0, 6, 3, 0, 2, -9, 0, -6, 0, 0, -8, -1, 0, 0, 0, 0, 7, 2, 0, 6, -12, 0, -4, 0, 0, -1, 18, 0, 0, -6, 0, 15, 3, 0, 25, 1, 0, -4, 0, 0, -20, -1, 0, 0, 9, 0, -2, -7, 0, 3, -12, 0, 20, 0, 0, 3, 12, 0, 0, 14, 0, -8, 3, 0, -10, -2, 0, -6, 0, 0, 7, -14, 0, 0, 9, 0, 4, 9, 0, -9, -12, 0, -9, 0, 0, 1, -12, 0, 0, -6, 0, -3, 12, 0, 11, -2, 0, 9, 0, 0, 18, 6, 0, 0, 3, 0, -5, 8, 0, 1, -21, 0, 23, 0, 0, 0, 6, 0, 0, -7, 0, -2, -12, 0, -1, -6, 0, 12, 0, 0, 4, 4, 0, 0, 6, 0, 13, 1, 0, -18, 24, 0, 26, 0, 0, 6, -6, 0, 0, -15, 0, -3, -12, 0, 20, -25, 0, -1, 0, 0, -4, 4, 0, 0, 15, 0, 54, 20, 0, 1, -15, 0, 8, 0, 0, -9, -24, 0, 0, 2, 0, 7, -24, 0, -7, -3, 0, 12, 0, 0, -2, -20, 0, 0, 0, 0, 28, -3, 0, -12, -9, 0, -8, 0, 0, -14, 24, 0, 0, 8, 0, -3, 18, 0, -1, 10, 0, 2, 0, 0, -2, 6, 0, 0, 18, 0, -26, -7, 0, 14, 3, 0, 36, 0, 0, -9, -6, 0, 0, -4, 0, -9, -6, 0, 29, 9, 0, 12, 0, 0, -23, 9, 0, 0, 24, 0, -1, -1, 0, 12, 12, 0, -10, 0, 0, 6, 15, 0, 0, 3, 0, -12, -24, 0, -15, -11, 0, 2, 0, 0, -35, -9, 0, 0, 6, 0, 22, -18, 0, -6, 12, 0, 17, 0, 0, -3, -6, 0, 0, 5, 0, -8, -6, 0, 27, -1, 0, 21, 0, 0, -29, -23, 0, 0, 0, 0, 8, 0, 0, -6, 48, 0, 2, 0, 0, 7, 15, 0, 0, 2, 0, 12, -12, 0, -16, 1, 0, 6, 0, 0, 1, -12, 0, 0, -9, 0, -2, -4, 0, -4, -18, 0, -31, 0, 0, -6, 24, 0, 0, -13, 0, -1, -24, 0, -54, 18, 0, -24, 0, 0, 1, -26, 0, 0, -36, 0, -8, -6, 0, 6, -27, 0, -7, 0, 0, 15, -6, 0, 0, 3, 0, 12, -18, 0, 16, -20, 0, 25, 0, 0, 16, 1, 0, 0, 6, 0, 18, 4, 0, -4, 3, 0, -37, 0, 0, -15, 24, 0, 0, -54, 0, -20, 6, 0, 14, -1, 0, 15, 0, 0, -36, -8, 0, 0, 30, 0, 34, 9, 0, 24, 12, 0, 58, 0, 0, -2, -18, 0, 0, -7, 0, 24, -6, 0, -16, 7, 0, 3, 0, 0, 1, -12, 0, 0, -12, 0, -14, 2, 0, 20, 9, 0, -2, 0, 0, 0, -21, 0, 0, -28, 0, 3, 18, 0, -4, 12, 0, 9, 0, 0, -20, 8, 0, 0, -9, 0, 36, 14, 0, -24, 15, 0, -8, 0, 0, -8, 18, 0, 0, 3, 0, -18, 24, 0, 2, 1, 0, -10, 0, 0, 19, -2, 0, 0, -12, 0, 34, 2, 0, -6, 36, 0, 26, 0, 0, -18, -3, 0, 0, 26, 0, 7, 24, 0, -4, -14, 0, -3, 0, 0, -2, -36, 0, 0, -12, 0, -14, 9, 0, 6, -12, 0, 90, 0, 0, 4, 27, 0, 0, 9, 0, 6, 18, 0, 26, -29, 0, -9, 0, 0, 54, -12, 0, 0, 6, 0, -2, 23, 0, -9, 0, 0, 8, 0, 0, -24, -12, 0, 0, 1, 0, 1, 12, 0, -10, -12, 0, -12, 0, 0, -27, 10, 0, 0, 27, 0, -16, -6, 0, -15, 0, 0, -10, 0, 0, -3, 36, 0, 0, 12, 0, 24, -18, 0, -7, 15, 0, 11, 0, 0, 16, -2, 0, 0, -3, 0, -5, 35, 0, 9, -42, 0, -43, 0, 0, -6, 24, 0, 0, -22, 0, 18, 12, 0, 26, 6, 0, -12, 0, 0, -2, -17, 0, 0, -27, 0, 4, 3, 0, 6, 30, 0, 14, 0, 0, -5, -24, 0, 0, 8, 0, 6, 18, 0, 18, -27, 0, 1, 0, 0, -32, -21, 0, 0, -18, 0, 2, 29, 0, 23, -42, 0, -18, 0, 0, 0, 84, 0, 0, -8, 0, 0, -48, 0, 44, 6, 0, -48, 0, 0, 2, -2, 0, 0, 33, 0, -8, -7, 0, -15, 18, 0, -31, 0, 0, -2, -3, 0, 0, -12, 0, 12, 30, 0, 7, 16, 0, -1, 0, 0, -25, -6, 0, 0, 72, 0, -17, -1, 0, 12, 3, 0, 32, 0, 0, 9, 39, 0, 0, 2, 0, 4, -84, 0, -14, 4, 0, 18, 0, 0, 22, 31, 0, 0, 30, 0, -29, 6, 0, -24, 12, 0, 20, 0, 0, 13, 12, 0, 0, 1, 0, 24, 24, 0, 18, 54, 0, -18, 0, 0, -23, 24, 0, 0, -27, 0, -54, -1, 0, 26, -9, 0, 2, 0, 0, 36, 6, 0, 0, 8, 0, 6, 45, 0, 2, -6, 0, 27, 0, 0, -2, 7, 0, 0, -48, 0, -81, -15, 0, 6, 42, 0, 28, 0, 0, -3, -48, 0, 0, -12, 0, 18, 12, 0, -15, -16, 0, 20, 0, 0, -20, -25, 0, 0, 45, 0, -20, -16, 0, -1, 12, 0, -18, 0, 0, -6, 24, 0, 0, -18, 0, -4, -9, 0, -34, 4, 0, -3, 0, 0, -35, 37, 0, 0, -12, 0, 45, 15, 0, -24, -12, 0, -34, 0, 0, 54, 6, 0, 0, 20, 0, -6, 6, 0, 2, -14, 0, 1, 0, 0, -28, -15, 0, 0, -24, 0, 1, 36, 0, 8, 3, 0, 56, 0, 0, -30, -3, 0, 0, -34, 0, -9, 9, 0, -37, -24, 0, -12, 0, 0, 10, -58, 0, 0, 57, 0, 49, 2, 0, 18, 48, 0, -1, 0, 0, 7, 48, 0, 0, -24, 0, 6, -18, 0, -54, 16, 0, -7, 0, 0, -8, -3, 0, 0, -39, 0, 58, -1, 0, 12, 54, 0, -7, 0, 0, 12, 63, 0, 0, 14, 0, -2, -6, 0, 0, -20, 0, -9, 0, 0, 4, 2, 0, 0, -30, 0, -62, 0, 0, 21, -9, 0, 50, 0, 0, 28, -42, 0, 0, -3, 0, -18, -21, 0, -4, 4, 0, -12, 0, 0, 32, -9, 0, 0, -60, 0, 16, 20, 0, -8, -6, 0, -2, 0, 0, 9, 36, 0, 0, -36, 0, -14, 12, 0, 47, 24, 0, -15, 0, 0, 72, 8, 0, 0, 42, 0, 9, 8, 0, -18, 36, 0, -54, 0, 0, -3, 6, 0, 0, 18, 0, -24, 24, 0, -19, -2, 0, -1, 0, 0, 9, 10, 0, 0, 12, 0, 64, -19, 0, 2, -3, 0, 54, 0, 0, 12, -24, 0, 0, -34, 0, -2, -45, 0, 32, 6, 0, -36, 0, 0, -5, -26, 0, 0, 42, 0, -108, 18, 0, 3, -6, 0, -64, 0, 0, -26, -12, 0, 0, -7, 0, -24, -27, 0, 16, 4, 0, 14, 0, 0, -11, 3, 0, 0, -36, 0, 14, 2, 0, 36, 0, 0, -16, 0, 0, 12, -60, 0, 0, 14, 0, -9, 12, 0, -28, -6, 0, 12, 0, 0, 1, -90, 0, 0, 0, 0, -2, -4, 0, -27, 63, 0, -18, 0, 0, -9, 0, 0, 0, -6, 0, -18, 48, 0, -22, -26, 0, 29, 0, 0, 16, 9, 0, 0, -84, 0, -4, -54, 0, 12, -3, 0, -14, 0, 0, -6, -42, 0, 0, 2, 0, -23, -6, 0, 5, 9, 0, 0, 0, 0, 135, -8, 0, 0, 6, 0, -36, 24, 0, 12, 0, 0, 27, 0, 0, -1, -54, 0, 0, -1, 0, -12, 21, 0, -4, 10, 0, 12, 0, 0, -28, 12, 0, 0, 24, 0, -23, 27, 0, -10, 120, 0, -37, 0, 0, -27, 9, 0, 0, 16, 0, 6, -24, 0, -27, 15, 0, 0, 0, 0, 8, 10, 0, 0, -6, 0, 52, 3, 0, -36, 36, 0, -34, 0, 0, -12, -3, 0, 0, -24, 0, 18, -60, 0, -54, 7, 0, -15, 0, 0, 37, -11, 0, 0, 60, 0, 40, -16, 0, 2, -24, 0, -16, 0, 0, 3, 12, 0, 0, 5, 0, -35, -36, 0, 68, -9, 0, 42, 0, 0, 1, 43, 0, 0, 42, 0, 58, 6, 0, -24, 0, 0, 26, 0, 0, 22, 9, 0, 0, -18, 0, -12, -72, 0, 28, -26, 0, -6, 0, 0, 72, 12, 0, 0, 30, 0, -9, 2, 0, 17, -72, 0, -4, 0, 0, 27, 72, 0, 0, -4, 0, -3, -120, 0, 20, -6, 0, -30, 0, 0, 36, -14, 0, 0, -63, 0, -32, 5, 0, 24, -6, 0, -58, 0, 0, -8, 18, 0, 0, -6, 0, -18, 66, 0, -13, -18, 0, 27, 0, 0, -65, -1, 0, 0, -60, 0, -50, 32, 0, 21, 18, 0, -79, 0, 0, 18, 15, 0, 0, -2, 0, -29, -24, 0, -8, -23, 0, 42, 0, 0, 40, 18, 0, 0, 9, 0, -26, 0, 0, -84, 24, 0, -40, 0, 0, 8, 54, 0, 0, 0, 0, 48, 6, 0, 2, -44, 0, -6, 0, 0, -8, 48, 0, 0, 6, 0, 27, -2, 0, 2, -60, 0, -18, 0, 0, -33, 24, 0, 0, 8, 0, 7, 24, 0, 40, 15, 0, -18, 0, 0, 34, 31, 0, 0, 60, 0, 10, 2, 0, 3, 12, 0, -7, 0, 0, 12, 12, 0, 0, -12, 0, -30, 126, 0, 40, -7, 0, -16, 0, 0, -20, 1, 0, 0, 6, 0, -2, 25, 0, 6, -54, 0, -82, 0, 0, -72, -18, 0, 0, 17, 0, 1, 27, 0, 90, -12, 0, -3, 0, 0, 0, -32, 0, 0, -27, 0, 4, -9, 0, -39, -42, 0, 4, 0, 0, -2, 39, 0, 0, -4, 0, 84, -48, 0, -58, 14, 0, -4, 0, 0, -47, -18, 0, 0, -21, 0, -80, -22, 0, -31, -15, 0, -34, 0, 0, -30, 9, 0, 0, 29, 0, -6, 6, 0, -54, 24, 0, -12, 0, 0, 16, -20, 0, 0, 24, 0, -47, -13, 0, -12, 18, 0, 44, 0, 0, -1, -24, 0, 0, -24, 0, -24, 15, 0, 23, -18, 0, -54, 0, 0, -40, 18, 0, 0, 12, 0, -8, 23, 0, -24, -126, 0, 36, 0, 0, 27, -78, 0, 0, 54, 0, 1, 60, 0, -22, -26, 0, 9, 0, 0, 72, -2, 0, 0, 24, 0, -16, -36, 0, -6, 48, 0, -42, 0, 0, -8, 12, 0, 0, -6, 0, -45, 54, 0, -13, -2, 0, 6, 0, 0, -62, -27, 0, 0, 15, 0, -35, 2, 0, -7, -3, 0, -4, 0, 0, 48, 24, 0, 0, 81, 0, 15, 39, 0, 4, -6, 0, -42, 0, 0, 7, -28, 0, 0, 42, 0, 72, 3, 0, 48, -39, 0, -81, 0, 0, 12, -66, 0, 0, -18, 0, -12, 0, 0, -54, 15, 0, 16, 0, 0, 54, -20, 0, 0, 15, 0, -20, 20, 0, 25, -6, 0, 2, 0, 0, -45, -42, 0, 0, 20, 0, 16, 12, 0, -55, 1, 0, -12, 0, 0, 14, 18, 0, 0, 48, 0, 20, 6, 0, -24, 0, 0, -72, 0, 0, 18, -18, 0, 0, 4, 0, 9, 21, 0, -28, 34, 0, -4, 0, 0, -50, 3, 0, 0, -66, 0, -50, 35, 0, -37, 15, 0, -10, 0, 0, 12, -30, 0, 0, -45, 0, -15, 9, 0, 47, 24, 0, 12, 0, 0, 31, 34, 0, 0, 6, 0, 8, -54, 0, -6, -42, 0, 5, 0, 0, -20, -24, 0, 0, 6, 0, -6, -15, 0, -14, -2, 0, 14, 0, 0, -27, -1, 0, 0, -24, 0, 58, 28, 0, 15, -75, 0, 18, 0, 0, 24, 24, 0, 0, -1, 0, -36, -6, 0, -8, -8, 0, -3, 0, 0, -28, -56, 0, 0, -48, 0, -59, 30, 0, 3, 15, 0, 56, 0, 0, 34, -18, 0, 0, 9, 0, -9, 15, 0, -18, 37, 0, 24, 0, 0, 1, 12, 0, 0, 39, 0, 16, -10, 0, 58, 84, 0, -8, 0, 0, -57, 30, 0, 0, -49, 0, -2, -42, 0, 20, -18, 0, -48, 0, 0, -14, 1, 0, 0, -48, 0, -14, -7, 0, -48, 36, 0, 2, 0, 0, 24, -60, 0, 0, -6, 0, 18, 60, 0, -46, 54, 0, -16, 0, 0, 126, 7, 0, 0, 24, 0, -54, 8, 0, 3, -18, 0, -52, 0, 0, 39, 120, 0, 0, -58, 0, 1, -138, 0, 26, -12, 0, -54, 0, 0, 44, 7, 0, 0, 12, 0, 34, -12, 0, -63, -15, 0, -11, 0, 0, -14, 15, 0, 0, 2, 0, 6, -3, 0, 50, 0, 0, 20, 0, 0, -27, 9, 0, 0, 72, 0, -36, -4, 0, -2, -33, 0, -55, 0, 0, 30, 27, 0, 0, 62, 0, 0, 24, 0, -25, -21, 0, 9, 0, 0, 8, -50, 0, 0, 6, 0, 56, -28, 0, 42, -39, 0, 20, 0, 0, 3, -27, 0, 0, 18, 0, 21, -6, 0, -58, 4, 0, -4, 0, 0, 61, 12, 0, 0, -84, 0, -26, -32, 0, 9, -72, 0, 50, 0, 0, 60, 6, 0, 0, -16, 0, -20, 12, 0, -82, 8, 0, 6, 0, 0, -29, 2, 0, 0, 6, 0, 0, -9, 0, -36, -24, 0, 36, 0, 0, 36, 30, 0, 0, 14, 0, -12, -78, 0, -85, -47, 0, -24, 0, 0, 4, 15, 0, 0, -60, 0, -22, -72, 0, -8, 18, 0, 23, 0, 0, -42, -60, 0, 0, -9, 0, -8, -63, 0, -76, 18, 0, -36, 0, 0, -83, 54, 0, 0, 45, 0, -59, 3, 0, -6, -24, 0, -52, 0, 0, -18, 27, 0, 0, 24, 0, -24, 30, 0, 1, 19, 0, 2, 0, 0, -54, 1, 0, 0, 21, 0, -40, -9, 0, -10, 0, 0, -135, 0, 0, -12, -51, 0, 0, -64, 0, 19, -12, 0, -36, -2, 0, 3, 0, 0, 82, -54, 0, 0, 27, 0, 10, -12, 0, 24, 45, 0, -56, 0, 0, 34, -78, 0, 0, 2, 0, 45, 12, 0, 108, -32, 0, -6, 0, 0, 82, 36, 0, 0, -15, 0, -17, 5, 0, 26, -18, 0, -56, 0, 0, -42, -6, 0, 0, 108, 0, -18, 18, 0, -36, -3, 0, 6, 0, 0, -144, 64, 0, 0, -9, 0, -44, 26, 0, 12, 36, 0, 10, 0, 0, 7, 24, 0, 0, 24, 0, 27, -156, 0, 50, -16, 0, -4, 0, 0, 15, -14, 0, 0, 54, 0, -9, 11, 0, -3, -15, 0, 38, 0, 0, 36, -24, 0, 0, -14, 0, -2, 9, 0, -55, -36, 0, 0, 0, 0, 52, 16, 0, 0, 42, 0, 36, -12, 0, 60, 30, 0, 35, 0, 0, -14, -36, 0, 0, 9, 0, -12, -87, 0, -18, 28, 0, 6, 0, 0, -46, -12, 0, 0, 51, 0, 40, -1, 0, 90, -6, 0, -162, 0, 0, 0, -24, 0, 0, 2, 0, 4, 39, 0, -22, 27, 0, -63, 0, 0, -44, 18, 0, 0, -18, 0, -1, 9, 0, 0, 24, 0, 72, 0, 0, 6, 54, 0, 0, 18, 0, -48, -12, 0, 40, 22, 0, 26, 0, 0, 88, -29, 0, 0, -120, 0, -17, -16, 0, -9, 54, 0, 32, 0, 0, 84, 102, 0, 0, 4, 0, 54, -21, 0, -70, -12, 0, 3, 0, 0, -77, 14, 0, 0, 6, 0, -59, 6, 0, 42, -60, 0, -25, 0, 0, -2, -42, 0, 0, 23, 0, 6, 24, 0, 112, -5, 0, -9, 0, 0, -68, 0, 0, 0, -72, 0, 31, -135, 0, 8, 24, 0, 95, 0, 0, -6, 6, 0, 0, 36, 0, -24, -90, 0, 53, -12, 0, 0, 0, 0, -27, -27, 0, 0, -27, 0, 2, 1, 0, 54, 63, 0, 50, 0, 0, 1, 6, 0, 0, 12, 0, -21, -12, 0, -90, 4, 0, -10, 0, 0, -56, -12, 0, 0, -12, 0, -90, 28, 0, -12, -57, 0, 29, 0, 0, -24, -225, 0, 0, 23, 0, -27, -30, 0, -79, 10, 0, -120, 0, 0, 10, 37, 0, 0, 48, 0, 52, 27, 0, -9, 0, 0, -17, 0, 0, -16, 48, 0, 0, -6, 0, 24, 57, 0, -8, 27, 0, -15, 0, 0, 90, 0, 0, 0, 6, 0, 4, -8, 0, -10, -57, 0, 36, 0, 0, 6, -30, 0, 0, -52, 0, -3, -48, 0, 20, 36, 0, -36, 0, 0, 58, 34, 0, 0, 12, 0, -2, 12, 0, 3, -6, 0, -20, 0, 0, 24, 27, 0, 0, -18, 0, 60, 105, 0, 7, 54, 0, -7, 0, 0, 19, 15, 0, 0, -15, 0, 144, -37, 0, 11, -99, 0, -26, 0, 0, -60, 36, 0, 0, -40, 0, 16, 21, 0, -27, -2, 0, 24, 0, 0, -2, 16, 0, 0, 180, 0, -112, -3, 0, -12, 3, 0, 0, 0, 0, -5, 12, 0, 0, 35, 0, 36, 51, 0, 36, -68, 0, 9, 0, 0, 16, -42, 0, 0, -48, 0, 34, -1, 0, -43, -66, 0, 144, 0, 0, -42, -18, 0, 0, -58, 0, -6, 12, 0, -28, 24, 0, 0, 0, 0, -52, -26, 0, 0, 42, 0, 14, -22, 0, -9, -42, 0, -1, 0, 0, 18, -126, 0, 0, 12, 0, 72, 6, 0, -4, -28, 0, 26, 0, 0, 32, 6, 0, 0, -6, 0, -81, -72, 0, -12, 9, 0, -31, 0, 0, -30, -24, 0, 0, 9, 0, -2, 12, 0, 2, -17, 0, 72, 0, 0, 82, 4, 0, 0, -78, 0, -36, -27, 0, -72, 12, 0, 38, 0, 0, 4, -3, 0, 0, 3, 0, 120, 18, 0, 74, -20, 0, 6, 0, 0, 91, 30, 0, 0, -72, 0, 31, -36, 0, 14, -33, 0, -31, 0, 0, 63, 81, 0, 0, 32, 0, -5, 78, 0, 0, -24, 0, 6, 0, 0, 8, 58, 0, 0, -24, 0, 72, 8, 0, -18, 24, 0, 26, 0, 0, 6, -168, 0, 0, 18, 0, -66, 93, 0, -10, 13, 0, 18, 0, 0, 90, -27, 0, 0, 0, 0, -40, 65, 0, 1, 90, 0, -14, 0, 0, 60, 24, 0, 0, 50, 0, -32, 42, 0, 108, -21, 0, -18, 0, 0, 54, 79, 0, 0, 24, 0, 106, -18, 0, -15, 12, 0, -106, 0, 0, 2, -24, 0, 0, 29, 0, 24, 48, 0, 77, 8, 0, 23, 0, 0, 49, -42, 0, 0, -84, 0, -28, -40, 0, -18, -180, 0, -1, 0, 0, -9, 18, 0, 0, 26, 0, 0, 90, 0, -18, 84, 0, -24, 0, 0, -53, 40, 0, 0, 15, 0, -144, -8, 0, -54, 36, 0, -64, 0, 0, 0, 6, 0, 0, -48, 0, -6, 126, 0, 8, -2, 0, 44, 0, 0, -9, 6, 0, 0, 84, 0, -14, 8, 0, -48, -84, 0, -1, 0, 0, -6, -30, 0, 0, -27, 0, 2, 27, 0, -94, -2, 0, 60, 0, 0, -108, 18, 0, 0, 15, 0, 7, 33, 0, -24, -24, 0, -108, 0, 0, -8, -24, 0, 0, -7, 0, -24, -84, 0, 26, -40, 0, -15, 0, 0, 76, 18, 0, 0, 6, 0, 49, -34, 0, -31, 48, 0, 56, 0, 0, -60, 63, 0, 0, -10, 0, -2, 78, 0, 68, -3, 0, -12, 0, 0, -18, 7, 0, 0, 30, 0, -86, -12, 0, -12, 30, 0, 63, 0, 0, 12, 18, 0, 0, 30, 0, -126, -84, 0, -79, -40, 0, 7, 0, 0, -16, 16, 0, 0, -18, 0, -14, 20, 0, -1, 12, 0, 16, 0, 0, -6, -69, 0, 0, 2, 0, -25, 18, 0, 65, -6, 0, 54, 0, 0, 14, 82, 0, 0, 24, 0, 81, 72, 0, 18, 54, 0, -16, 0, 0, -17, -51, 0, 0, -1, 0, -27, 48, 0, -108, -90, 0, 12, 0, 0, -27, 3, 0, 0, -84, 0, -14, 0, 0, 32, -6, 0, 22, 0, 0, 27, 156, 0, 0, -4, 0, 9, 90, 0, -18, 39, 0, 42, 0, 0, -20, -4, 0, 0, 60, 0, 31, 2, 0, -39, 6, 0, 86, 0, 0, 4, 90, 0, 0, -84, 0, 48, -3, 0, 166, 58, 0, -14, 0, 0, -18, 4, 0, 0, -3, 0, 37, 47, 0, 18, 48, 0, 20, 0, 0, 21, -72, 0, 0, 80, 0, 22, -150, 0, 110, 31, 0, 15, 0, 0, -98, 34, 0, 0, -24, 0, 14, 30, 0, -9, 96, 0, -97, 0, 0, -29, -78, 0, 0, 6, 0, -6, 18, 0, 5, 54, 0, -24, 0, 0, -2, 12, 0, 0, -42, 0, 36, -16, 0, 20, -81, 0, 41, 0, 0, -24, -6, 0, 0, 47, 0, 13, 9, 0, 107, 12, 0, -18, 0, 0, -14, -44, 0, 0, -6, 0, -41, 1, 0, 24, 3, 0, 64, 0, 0, 24, 18, 0, 0, 24, 0, -15, 15, 0, 4, -23, 0, 18, 0, 0, 82, 54, 0, 0, -63, 0, 4, 40, 0, -18, 42, 0, 36, 0, 0, -12, 39, 0, 0, 8, 0, -23, 6, 0, 8, 24, 0, 126, 0, 0, -74, -36, 0, 0, -174, 0, 46, -27, 0, 78, -30, 0, 27, 0, 0, -54, 0, 0, 0, -1, 0, -60, -63, 0, -34, 22, 0, 26, 0, 0, -10, -9, 0, 0, 0, 0, 70, -72, 0, 2, -78, 0, -56, 0, 0, -24, 120, 0, 0, 16, 0, 36, -12, 0, 65, 6, 0, -48, 0, 0, -5, 42, 0, 0, 30, 0, -58, 8, 0, -12, 138, 0, -70, 0, 0, 6, 84, 0, 0, 45, 0, -54, -84, 0, -60, 13, 0, 2, 0, 0, -71, -6, 0, 0, 18, 0, -44, 62, 0, 27, 0, 0, 104, 0, 0, -15, -42, 0, 0, 35, 0, -2, -36, 0, -100, 7, 0, 3, 0, 0, 16, 4, 0, 0, -48, 0, 18, -48, 0, -24, -39, 0, -46, 0, 0, -81, 6, 0, 0, -15, 0, -39, 36, 0, 46, -4, 0, 6, 0, 0, 16, 42, 0, 0, -39, 0, -2, -7, 0, 28, -36, 0, -54, 0, 0, -42, 0, 0, 0, -72, 0, -3, -48, 0, -56, -48, 0, 39, 0, 0, -72, 81, 0, 0, 108, 0, 118, -12, 0, 66, 3, 0, -1, 0, 0, 18, -54, 0, 0, 12, 0, 0, 60, 0, 108, 54, 0, -15, 0, 0, 58, -16, 0, 0, 54, 0, -41, -54, 0, 20, 12, 0, -72, 0, 0, -15, -102, 0, 0, 20, 0, -20, 84, 0, 14, -25, 0, 6, 0, 0, 10, -2, 0, 0, -87, 0, -90, 45, 0, 42, 81, 0, 38, 0, 0, -20, -78, 0, 0, -16, 0, -12, -9, 0, 54, 55, 0, -1, 0, 0, 52, 12, 0, 0, 42, 0, 2, -14, 0, -18, 3, 0, -1, 0, 0, -48, 81, 0, 0, -20, 0, -6, 54, 0, -37, 24, 0, 0, 0, 0, 80, 72, 0, 0, 21, 0, 106, -18, 0, 18, -60, 0, 144, 0, 0, -4, -105, 0, 0, -9, 0, -21, 96, 0, 18, 28, 0, -34, 0, 0, -77, 4, 0, 0, 90, 0, 72, 50, 0, -3, -72, 0, 108, 0, 0, 66, -18, 0, 0, 50, 0, -35, -36, 0, 4, 37, 0, -15, 0, 0, 4, 10, 0, 0, 84, 0, 10, -12, 0, 30, -78, 0, -2, 0, 0, 45, -51, 0, 0, 15, 0, -9, -54, 0, 2, -47, 0, -24, 0, 0, -20, -12, 0, 0, -120, 0, 32, -31, 0, -34, 210, 0, 20, 0, 0, -6, -36, 0, 0, -8, 0, 54, -99, 0, 116, 6, 0, 42, 0, 0, 19, -5, 0, 0, -36, 0, 36, 20, 0, 24, 9, 0, 52, 0, 0, -6, -27, 0, 0, 6, 0, 15, 54, 0, -36, 14, 0, 2, 0, 0, -7, -14, 0, 0, -24, 0, -41, 27, 0, 1, -60, 0, 5, 0, 0, 24, -132, 0, 0, -58, 0, -28, -15, 0, -82, -15, 0, 75, 0, 0, -108, -18, 0, 0, -6, 0, 8, -24, 0, -24, -57, 0, 104, 0, 0, 1, -90, 0, 0, 36, 0, 6, 90, 0, 0, 8, 0, 8, 0, 0, -72, 3, 0, 0, -18, 0, 118, 28, 0, 56, 48, 0, -88, 0, 0, 48, -99, 0, 0, 59, 0, -30, -102, 0, -8, -3, 0, -15, 0, 0, 58, -56, 0, 0, -144, 0, 18, -34, 0, 18, -84, 0, 45, 0, 0, -9, -24, 0, 0, 9, 0, -15, 12, 0, -25, 18, 0, -37, 0, 0, -2, -24, 0, 0, -18, 0, 36, -1, 0, -12, 42, 0, 2, 0, 0, -39, 63, 0, 0, -16, 0, 10, -21, 0, -115, -58, 0, -84, 0, 0, 26, 8, 0, 0, 63, 0, 55, 57, 0, -30, 48, 0, -19, 0, 0, 49, 51, 0, 0, 2, 0, 42, 84, 0, -7, -20, 0, 18, 0, 0, -45, 48, 0, 0, -108, 0, -14, 14, 0, -1, 12, 0, 36, 0, 0, 48, 15, 0, 0, 14, 0, 7, -123, 0, -34, 48, 0, -36, 0, 0, -68, -2, 0, 0, -162, 0, -58, -24, 0, 60, 210, 0, -80, 0, 0, 6, 48, 0, 0, -18, 0, -60, -36, 0, -18], "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.a", "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], [-2], [1], [0], [1], [-3], [0], [2], [0], [0], [6], [-9], [0], [0], [2], [0], [-1], [-6], [0], [-4], [-1], [0], [3], [0], [0], [-8], [-2], [0], [0], [9], [0], [1], [-6], [0], [9], [6], [0], [1], [0], [0], [-2], [-6], [0], [0], [1], [0], [6], [-15], [0], [-1], [4], [0], [1], [0], [0], [7], [-3], [0], [0], [-3], [0], [-14], [8], [0], [2], [6], [0], [14], [0], [0], [-9], [9], [0], [0], [-1], [0], [6], [3], [0], [2], [-9], [0], [-6], [0], [0], [-8], [-1], [0], [0]]}