# Stored data for newform 9702.2.a.o, downloaded from the LMFDB on 25 April 2024.
{"label": "9702.2.a.o", "space_label": "9702.2.a", "level": 9702, "weight": 2, "hecke_orbit": 15, "hecke_orbit_code": 63050394816751078, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1832835397793656559, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [0, 1]], [13, [-5, 1]], [17, [6, 1]], [19, [-2, 1]], [23, [6, 1]], [29, [3, 1]]], "qexp_display": "q-q^{2}+q^{4}-q^{8}+q^{11}+5q^{13}+q^{16}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 38808, "fricke_eigenval": 1, "atkin_lehner_string": "+-+-", "analytic_conductor": 77.47086004104622, "hecke_ring_index": 1, "level_radical": 462, "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": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [9702, 1, [4313, 199, 5293], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 7, 11], "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": "0.951", "prec": 17}, {"__RealLiteral__": 0, "data": "0.014", "prec": 17}, {"__RealLiteral__": 0, "data": "1.853", "prec": 17}, {"__RealLiteral__": 0, "data": "0.035", "prec": 17}, {"__RealLiteral__": 0, "data": "4.551", "prec": 17}], "related_objects": ["EllipticCurve/Q/9702/o"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [7, 1], [11, -1]], "trace_display": [-1, 0, 0, 0], "traces": [0, 1, -1, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0, 5, 0, 0, 1, -6, 0, 2, 0, 0, -1, -6, 0, -5, -5, 0, 0, -3, 0, 8, -1, 0, 6, 0, 0, 2, -2, 0, 0, 6, 0, -4, 1, 0, 6, -6, 0, 0, 5, 0, 5, 12, 0, 0, 0, 0, 3, 3, 0, -7, -8, 0, 1, 0, 0, -13, -6, 0, 0, 12, 0, -10, -2, 0, 2, 0, 0, -1, 0, 0, -6, -6, 0, 0, 4, 0, -1, -6, 0, 0, -6, 0, 6, 0, 0, -13, 0, 0, -5, -3, 0, -4, -5, 0, -12, 0, 0, 14, 0, 0, 0, -9, 0, 0, -3, 0, -3, 0, 0, 1, 7, 0, 8, 0, 0, -13, -1, 0, 0, -6, 0, 0, 13, 0, 6, -15, 0, -4, 0, 0, -12, 5, 0, 0, 10, 0, 2, 6, 0, -1, -2, 0, 0, 0, 0, -4, 1, 0, 0, 0, 0, 17, 6, 0, 6, -9, 0, 12, 0, 0, -4, 15, 0, 0, 1, 0, 6, -9, 0, -10, 0, 0, 6, 0, 0, -6, -6, 0, 0, 18, 0, -22, 13, 0, 0, 9, 0, 14, 5, 0, 3, 0, 0, 0, 4, 0, 5, 2, 0, 26, 12, 0, 0, 0, 0, 0, -14, 0, 0, -30, 0, -10, 0, 0, 9, 6, 0, 20, 0, 0, 3, 30, 0, 0, 3, 0, 0, -21, 0, -10, -1, 0, -7, 0, 0, 10, -8, 0, 0, -12, 0, -6, 13, 0, 1, -27, 0, 0, 0, 0, 6, 3, 0, 0, 0, 0, -13, 24, 0, -25, -6, 0, 15, -5, 0, -1, 4, 0, 0, 6, 0, -22, 12, 0, -5, 0, 0, 19, 0, 0, -10, 18, 0, 0, -2, 0, -6, -30, 0, 0, 1, 0, 2, 0, 0, 32, 0, 0, 0, -24, 0, -7, 4, 0, -1, 24, 0, -3, 0, 0, 0, -12, 0, -25, -17, 0, -6, 0, 0, -13, -6, 0, 9, 0, 0, -22, -12, 0, 0, 8, 0, 0, 4, 0, -15, -12, 0, -34, 0, 0, -1, -30, 0, 0, -6, 0, 9, 9, 0, -15, 10, 0, 0, 0, 0, 38, -6, 0, 0, 0, 0, 11, 6, 0, 6, -15, 0, -25, 0, 0, -18, -12, 0, 0, 22, 0, -13, -12, 0, 36, 0, 0, -9, 0, 0, 2, -14, 0, -5, 9, 0, 40, -3, 0, 0, 2, 0, -4, 0, 0, -4, 0, 0, 0, -5, 0, -2, -12, 0, -16, -26, 0, -12, 30, 0, 0, 0, 0, 0, -15, 0, 14, 0, 0, 14, -12, 0, -19, 0, 0, 30, -12, 0, 0, 10, 0, 0, -30, 0, 6, -9, 0, -6, 0, 0, -22, -20, 0, 0, -39, 0, 26, -3, 0, -30, 12, 0, 0, 0, 0, -3, -4, 0, -10, 0, 0, 21, 3, 0, 10, 10, 0, 1, 0, 0, -4, 7, 0, 0, 30, 0, 18, -10, 0, 8, 0, 0, 8, 0, 0, 12, -21, 0, 0, 6, 0, -13, -6, 0, 0, -1, 0, 27, 0, 0, -6, 0, 0, 0, 18, 0, -16, -6, 0, -3, -48, 0, 13, 0, 0, 0, 30, 0, 0, 13, 0, -24, 0, 0, 5, 25, 0, 6, 0, 0, -28, -15, 0, 5, -6, 0, 0, 1, 0, -4, 6, 0, -20, 0, 0, -6, -18, 0, 0, 22, 0, -12, 0, 0, 20, 5, 0, 0, 30, 0, -7, -19, 0, 0, 0, 0, 12, 10, 0, -18, -9, 0, 16, 0, 0, 2, -24, 0, 0, 6, 0, 30, 0, 0, -10, 0, 0, -1, 0, 0, 8, -2, 0, 0, -30, 0, 26, -32, 0, 0, -21, 0, 44, 0, 0, 24, 0, 0, 25, 7, 0, -4, -12, 0, -16, 1, 0, -24, 0, 0, 0, 3, 0, 0, -9, 0, -19, 0, 0, 12, -36, 0, 3, 25, 0, 17, 30, 0, 0, 6, 0, 0, 12, 0, -34, 13, 0, 6, 0, 0, 18, -9, 0, 0, -7, 0, -4, 22, 0, 12, -42, 0, 0, 0, 0, -8, 45, 0, 0, 0, 0, -4, 60, 0, 35, 15, 0, 12, 0, 0, -36, 34, 0, 0, 3, 0, 4, 1, 0, 30, 0, 0, -10, 0, 0, 6, -48, 0, 0, -9, 0, -9, 6, 0, 0, 15, 0, -10, 15, 0, 50, 0, 0, 0, 24, 0, -43, -38, 0, 6, -13, 0, 2, 0, 0, 0, 36, 0, 0, -11, 0, -6, 0, 0, -16, -6, 0, 15, 0, 0, -10, 25, 0, 0, -30, 0, 0, 18, 0, 12, 15, 0, 2, 0, 0, -22, 24, 0, -40, 13, 0, 12, 12, 0, 12, -36, 0, 0, 0, 0, 14, 9, 0, 0, 0, 0, -35, -2, 0, 14, -6, 0, 36, 5, 0, -9, -10, 0, 0, -40, 0, 3, -36, 0, -16, 0, 0, -2, 0, 0, -8, 4, 0, 0, -27, 0, 26, 4, 0, 0, -42, 0, -16, 0, 0, 5, 0, 0, 0, 2, 0, 12, -30, 0, -20, 16, 0, 26, 0, 0, 0, 12, 0, -30, -12, 0, -58, 0, 0, 0, -48, 0, 35, 0, 0, 15, -6, 0, 0, -14, 0, 0, -1, 0, -65, -14, 0, 12, 0, 0, -37, 19, 0, 0, 15, 0, -19, -30, 0, 12, -57, 0, 0, 0, 0, -10, -12, 0, 0, 0, 0, 30, -24, 0, -72, -6, 0, 9, 0, 0, 44, 6, 0, 0, -30, 0, -6, 22, 0, 20, 0, 0, -16, 0, 0, 39, 60, 0, -10, -26, 0, 3, -15, 0, 0, 30, 0, -12, 0, 0, -52, 0, 0, 0, 27, 0, -36, 3, 0, 4, 24, 0, -50, 10, 0, 0, -24, 0, 0, -21, 0, -3, 0, 0, 33, -10, 0, -10, 0, 0, 32, -1, 0, 0, 33, 0, 0, 4, 0, -7, 18, 0, -6, 0, 0, -30, 6, 0, 0, -18, 0, 10, 24, 0, -16, -8, 0, 0, 0, 0, -46, -8, 0, 0, 0, 0, -18, -12, 0, 21, 24, 0, 20, 0, 0, -6, 42, 0, 0, 13, 0, 6, -30, 0, 14, 0, 0, 1, -30, 0, -5, -27, 0, 0, -15, 0, -34, 6, 0, 0, 42, 0, -22, 0, 0, -18, 0, 0, 0, 16, 0, 6, 39, 0, 8, 3, 0, 48, 0, 0, 0, -13, 0, 0, -6, 0, -16, 0, 0, -30, -13, 0, -34, 0, 0, -13, -6, 0, 20, 24, 0, 0, -30, 0, 36, -5, 0, -25, 0, 0, -28, -6, 0, 0, 18, 0, 56, 28, 0, 15, -24, 0, 0, -5, 0, 6, 48, 0, 0, 0, 0, -1, -6, 0, -3, 4, 0, -6, 0, 0, 23, 20, 0, 0, 6, 0, -55, 6, 0, 18, 0, 0, -4, 0, 0, -22, -4, 0, 0, 12, 0, 0, 78, 0, 0, -20, 0, -5, 0, 0, 16, 0, 0, -30, 39, 0, 26, 7, 0, 19, -30, 0, -14, 0, 0, 0, -24, 0, 0, -12, 0, -10, 0, 0, -13, 18, 0, 9, 30, 0, 0, -16, 0, 0, 60, 0, 0, -2, 0, 24, -12, 0, -18, 0, 0, -6, -39, 0, 0, -30, 0, 0, 14, 0, -28, 10, 0, 0, 0, 0, -72, 1, 0, 0, 0, 0, 50, -8, 0, 2, 6, 0, -72, 0, 0, 30, 15, 0, 0, -26, 0, 32, 21, 0, 17, 0, 0, 21, 0, 0, 44, -44, 0, 0, 60, 0, -9, -24, 0, 0, 12, 0, 14, -25, 0, -7, 0, 0, 0, 4, 0, 12, -33, 0, -65, 16, 0, -1, 0, 0, 0, 24, 0, 0, 48, 0, -26, 0, 0, -3, -12, 0, -4, 0, 0, 9, 54, 0, 0, 19, 0, 0, -48, 0, -25, -12, 0, 36, 0, 0, 38, -3, 0, -25, 30, 0, -16, -17, 0, -30, -36, 0, 0, 0, 0, -6, -15, 0, 0, 0, 0, -12, -21, 0, -55, 34, 0, -13, -60, 0, -13, -6, 0, 0, 1, 0, -32, -18, 0, 9, 0, 0, -20, 0, 0, 7, 6, 0, 0, 4, 0, -22, 24, 0, 0, -12, 0, 42, 0, 0, -18, 0, 0, 0, -24, 0, 18, 8, 0, -45, 24, 0, -33, 0, 0, 0, 6, 0, 0, 4, 0, -60, 0, 0, 59, -35, 0, -15, 0, 0, -20, -12, 0, 0, 0, 0, 0, 36, 0, -34, -13, 0, 11, 0, 0, -3, 42, 0, 0, -4, 0, -1, -39, 0, 36, -30, 0, 0, 0, 0, 70, 10, 0, 0, 0, 0, 2, -6, 0, 48, 6, 0, 35, 0, 0, 9, -57, 0, 0, 9, 0, -6, -24, 0, -6, 0, 0, -15, 0, 0, 11, 10, 0, -15, -18, 0, 44, -50, 0, 0, -48, 0, 38, 0, 0, -24, 0, 0, 0, 43, 0, 38, -45, 0, -19, -6, 0, 13, -15, 0, 0, -2, 0, 0, 54, 0, 53, 0, 0, -36, -33, 0, 50, 0, 0, 11, 33, 0, 0, 6, 0, 0, -57, 0, -2, 16, 0, 6, 0, 0, -15, -15, 0, 0, 0, 0, 36, 10, 0, -25, 12, 0, 0, 0, 0, 30, 48, 0, 35, 0, 0, -18, -4, 0, -40, -12, 0, -15, 0, 0, -36, -2, 0, 0, 78, 0, -4, 22, 0, -24, 0, 0, 50, 40, 0, -13, -42, 0, 0, -12, 0, -12, 0, 0, 0, -12, 0, 36, 0, 0, 38, 0, 0, 0, -9, 0, 5, -14, 0, -9, -12, 0, -22, 0, 0, 0, -51, 0, 0, 35, 0, 2, 0, 0, -8, -14, 0, 6, 0, 0, 23, -36, 0, -5, 0, 0, 0, 9, 0, 10, -18, 0, 62, 0, 0, 40, -45, 0, 0, -3, 0, 36, 30, 0, 74, 16, 0, 0, 0, 0, -4, 2, 0, 0, 0, 0, -72, 8, 0, -4, -18, 0, 6, 0, 0, 27, 96, 0, 0, -26, 0, -4, 78, 0, -65, 0, 0, 42, 0, 0, -16, 16, 0, 0, -1, 0, -16, -5, 0, 0, 48, 0, 14, 0, 0, -2, 0, 0, 65, -12, 0, 30, 60, 0, -5, 20, 0, -16, 0, 0, 0, -26, 0, 0, -12, 0, 11, 0, 0, -12, -45, 0, 35, 30, 0, 12, -30, 0, 0, 58, 0, 0, 48, 0, -9, 0, 0, 48, 0, 0, 18, -35, 0, 0, 39, 0, 14, -15, 0, 6, -4, 0, 0, 0, 0, 14, 66, 0, 0, 0, 0, 1, -12, 0, -46, 65, 0, 14, 0, 0, -4, -12, 0, 0, 24, 0, 53, 37, 0, -19, 0, 0, -4, 0, 0, -15, -24, 0, 0, 19, 0, 30, 21, 0, 0, -12, 0, 57, -60, 0, 68, 0, 0, 0, -75, 0, 44, 10, 0, 12, -27, 0, 5, 0, 0, 0, 17, 0, 0, -30, 0, 24, 0, 0, 14, 72, 0, 6, 0, 0, -20, -9, 0, 0, -78, 0, 0, -44, 0, -6, 6, 0, 0, 0, 0, 30, 51, 0, 50, 6, 0, -22, 24, 0, 50, -20, 0, 0, 0, 0, -9, 16, 0, 0, 0, 0, -26, -39, 0, -60, 33, 0, -27, 10, 0, 26, -84, 0, 0, -3, 0, 15, 12, 0, -37, 0, 0, -30, 0, 0, 2, 12, 0, 0, -18, 0, 11, 52, 0, 0, -6, 0, -46, 0, 0, -27, 0, 0, 0, 36, 0, -3, 0, 0, -56, -4, 0, -24, 0, 0, 0, 50, 0, -10, -42, 0, 15, 0, 0, 24, 63, 0, 36, 0, 0, 21, -84, 0, 0, 3, 0, 0, -6, 0, 54, -33, 0, 10, 0, 0, -36, 10, 0, 0, 66, 0, 59, -32, 0, 1, 30, 0, 0, 0, 0, -33, 39, 0, 0, 0, 0, -4, 45, 0, 62, 7, 0, -18, 0, 0, -8, 6, 0, 0, 24, 0, -5, 30, 0, -6, 0, 0, -9, 0, 0, 18, 12, 0, 5, -10, 0, -24, 18, 0, 0, 16, 0, 8, 0, 0, 62, 0, 0, 0, -10, 0, -64, 46, 0, 8, -3, 0, 65, 0, 0, 0, 63, 0, 0, 18, 0, 12, 0, 0, 41, -21, 0, -24, 0, 0, 5, -20, 0, 0, 24, 0, 0, 6, 0, -42, 51, 0, -4, 0, 0, -13, 0, 0, 0, -6, 0, 30, 30, 0, -20, -14, 0, 0, 0, 0, 36, -1, 0, 30, 0, 0, -70, 5, 0, 27, -6, 0, -36, 0, 0, 15, 69, 0, 0, 34, 0, -6, 18, 0, 28, 0, 0, -42, 30, 0, -104, 22, 0, 0, 24, 0, -4, 18, 0, 0, 9, 0, 20, 0, 0, -16, 0, 0, 0, -6, 0, -39, 33, 0, 18, -8, 0, -3, 0, 0, 0, -48, 0, 0, -60, 0, 26, 0, 0, 13, 30, 0, 85, 0, 0, 6, -22, 0, 0, 16, 0, 0, -72, 0, -4, 30, 0, 13, 0, 0, -25, 34, 0, 0, 15, 0, -40, 13, 0, 6, -18, 0, 0, -20, 0, -24, 0, 0, 0, 0, 0, 30, 78, 0, -43, -36, 0, 5, 0, 0, 9, 25, 0, 0, -45, 0, 72, 28, 0, 6, 0, 0, -64, 0, 0, -18, 6, 0, 0, -56, 0, -28, 14, 0, 0, -15, 0, 24, 0, 0, -5, 0, 0, 5, 96, 0, 80, -6, 0, -48, -39, 0, -11, 0, 0, 0, 27, 0, 0, 1, 0, 6, 0, 0, -82, 3, 0, -4, 30, 0, 36, 6, 0, 0, 78, 0, 0, -23, 0, -20, -18, 0, 5, 0, 0, -6, 66, 0, 0, 55, 0, -6, 75, 0, -82, -18, 0, 0, 0, 0, -14, 4, 0, 0, 0, 0, -80, 22, 0, 4, 3, 0, -64, 0, 0, -12, -48, 0, 0, 0, 0, -78, -48, 0, -13, 0, 0, 20, 0, 0, -16, 5, 0, 0, 3, 0, -46, -16, 0, 0, 54, 0, 2, 30, 0, -39, 0, 0, 0, -26, 0, -7, 15, 0, 50, -19, 0, 30, 0, 0, 0, 14, 0, 0, 26, 0, 18, 0, 0, 24, -45, 0, 90, 0, 0, 12, -54, 0, 0, 10, 0, 0, -90, 0, -4, 13, 0, -18, 0, 0, 17, -9, 0, -30, 72, 0, -50, 0, 0, 16, -48, 0, 0, 0, 0, -60, 24, 0, 0, 0, 0, 2, 24, 0, -4, -24, 0, 12, 0, 0, 50, 18, 0, 0, -30, 0, 53, 6, 0, 39, 0, 0, 14, 0, 0, 30, 18, 0, 0, 0, 0, -14, 48, 0, 0, 28, 0, -10, 0, 0, 18, 0, 0, 0, 30, 0, -26, 72, 0, -1, -42, 0, 18, 0, 0, 0, -72, 0, 65, -50, 0, 8, 0, 0, -30, -2, 0, -6, 0, 0, -43, 72, 0, 0, -66, 0, 0, -30, 0, -15, -12, 0, -8, 0, 0, 26, -10, 0, 0, -32, 0, -21, 0, 0, 0, -17, 0, 0, 0, 0, -7, -21, 0, 0, 0, 0, -19, -44, 0, 44, -30, 0, -26, 0, 0, -60, 90, 0, 0, 9, 0, 24, -12, 0, -72, 0, 0, -12, 0, 0, 6, -14, 0, 25, -42, 0, 92, 7, 0, 0, -84, 0, -110, 0, 0, -4, 0, 0, 0, -12, 0, 33, 20, 0, -58, 65, 0, -16, 15, 0, 0, 1, 0, 0, 57, 0, -36, 0, 0, -24, -12, 0, -88, 0, 0, -48, -9, 0, 0, 26, 0, 0, 6, 0, 71, 3, 0, 12, 0, 0, 56, 4, 0, 0, 45, 0, 30, -9, 0, -54, 6, 0, 0, 0, 0, -19, -48, 0, 20, 0, 0, 48, 21, 0, 18, 25, 0, 12, 0, 0, 70, -36, 0, 0, 48, 0, -46, -38, 0, 3, 0, 0, 54, 25, 0, -30, -30, 0, 0, 16, 0, 17, 54, 0, 0, 30, 0, 36, 0, 0, -28, 0, 0, 0, 12, 0, 28, 6, 0, 15, 24, 0, -21, 0, 0, 0, 30, 0, 0, 12, 0, 21, 0, 0, -8, 55, 0, -34, 0, 0, 53, 13, 0, 60, -10, 0, 0, 13, 0, 6, -78, 0, -28, 0, 0, -1, 18, 0, 0, 32, 0, 18, 24, 0, -22, -9, 0, 0, 0, 0, 86, 20, 0, 0, 0, 0, 68, -7, 0, -6, 42, 0, 101, 0, 0, -4, 0, 0, 0, 22, 0, -24, 51, 0, -20, 0, 0, 12, 0, 0, 53, -42, 0, 0, 84, 0, -4, 18, 0, 0, 10, 0, -31, 0, 0, 24, 0, 0, -70, -18, 0, -8, -81, 0, 53, 45, 0, -24, 0, 0, 0, 33, 0, 0, 87, 0, 130, 0, 0, -6, -78, 0, 41, 0, 0, -4, -39, 0, 0, 60, 0, 0, -48, 0, -12, -59, 0, 35, 0, 0, 59, 15, 0, 0, -102, 0, -18, 20, 0, 12, -93, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, -36, 39, 0, -64, 34, 0, 13, 0, 0, -34, -11, 0, 0, -60, 0, -4, 3, 0, -42, 0, 0, 91, 0, 0, 4, 39, 0, 0, 1, 0, 39, 21, 0, 0, -36, 0, 30, 45, 0, -27, 0, 0, 0, 12, 0, 80, -70, 0, -10, 42, 0, 54, 0, 0, 0, 69, 0, 0, -2, 0, 6, 0, 0, 50, -48, 0, -6, 0, 0, 104, -35, 0, 0, 18, 0, 0, -9, 0, 57, 42, 0, -2, 0, 0, -9, -72, 0, 0, 6, 0, 24, -33, 0, 52, 6, 0, 0, 0, 0, 8, 15, 0, 0, 0, 0, 3, -11, 0, -10, 51, 0, -50, 15, 0, 18, -21, 0, 0, -44, 0, 50, -30, 0, 72, 0, 0, 48, 0, 0, -43, -38, 0, 0, 78, 0, -2, 24, 0, 0, 30, 0, 9, 0, 0, -43, 0, 0, 0, -38, 0, 45, -12, 0, -90, 19, 0, 6, 0, 0, 0, -13, 0, 15, 30, 0, 65, 0, 0, 2, 36, 0, 24, 0, 0, -54, -45, 0, 0, -53, 0, 0, -6, 0, -7, 36, 0, 33, 0, 0, 100, -50, 0, 0, -25, 0, -8, -11, 0, -33, 12, 0, 0, 0, 0, -6, -60, 0, 0, 0, 0, 57, -51, 0, 5, 2, 0, -16, 0, 0, -104, -6, 0, 0, 72, 0, 36, 15, 0, 15, 0, 0, 17, 0, 0, 0, 96, 0, -5, -36, 0, -10, 150, 0, 0, 25, 0, -12, 0, 0, -82, 0, 0, 0, -27, 0, 54, -30, 0, -48, -1, 0, 2, -35, 0, 0, -48, 0, 0, 18, 0, 4, 0, 0, -4, 40, 0, 12, 0, 0, -52, 15, 0, 0, -12, 0, 0, 36, 0, 2, 60, 0, -37, 0, 0, -78, -36, 0, 0, 4, 0, -22, 18, 0, 6, 24, 0, 0, 0, 0, 34, -50, 0, -40, 0, 0, 0, 13, 0, 42, -105, 0, -61, 0, 0, 12, -22, 0, 0, 12, 0, 0, -48, 0, 86, 0, 0, 12, 0, 0, 36, -36, 0, 0, -24, 0, -50, -38, 0, 0, 96, 0, 40, 0, 0, 9, 0, 0, 0, -5, 0, 14, 78, 0, 90, 9, 0, 12, 0, 0, 0, 22, 0, 0, -42, 0, 14, 0, 0, 51, 39, 0, -94, 0, 0, -35, -18, 0, 65, -2, 0, 0, 19, 0, -55, 8, 0, 14, 0, 0, 38, -6, 0, 0, -12, 0, -32, -23, 0, 36, 24, 0, 0, 5, 0, 0, -78, 0, 0, 0, 0, -9, 42, 0, 24, -10, 0, 18, 0, 0, -46, -62, 0, 0, -48, 0, 18, -40, 0, 45, 0, 0, -7, 0, 0, 3, -84, 0, 0, -36, 0, -30, -6, 0, 0, -74, 0, -16, 0, 0, -108, 0, 0, 0, 72, 0, -58, 4, 0, -2, 6, 0, -25, 0, 0, 0, -60, 0, 0, 72, 0, -8, 0, 0, -16, 4, 0, 18, 30, 0, 27, -6, 0, 0, 132, 0, 0, -27, 0, -96, 30, 0, -30, 0, 0, 26, -12, 0, 0, 4, 0, -78, 60, 0, -70, 65, 0, 0, 0, 0, 110, -42, 0, 0, 0, 0, 44, 16, 0, -16, 0, 0, 35, 0, 0, 1, 51, 0, 0, 16, 0, 5, -54, 0, 80, 0, 0, -48, 0, 0, -72, -14, 0, 0, -135, 0, -37, 2, 0, 0, -36, 0, -54, -65, 0, 12, 0, 0, 0, -30, 0, -60, -30, 0, -4, 5, 0, -20, 0, 0, 0, 16, 0, 0, 75, 0, -1, 0, 0, 26, 32, 0, 112, 0, 0, 12, -84, 0, 0, -11, 0, 0, 12, 0, 92, 12, 0, 45, 0, 0, 4, -35, 0, -30, -18, 0, -36, -12, 0, 30, 27, 0, 0, 0, 0, -58, -78, 0, 0, 0, 0, -48, 15, 0, -24, 9, 0, 0, 75, 0, -36, -48, 0, 0, 60, 0, -31, -18, 0, 35, 0, 0, -20, 0, 0, -39, -7, 0, 0, -14, 0, 15, -12, 0, 0, -6, 0, 4, 0, 0, 89, 0, 0, 0, -54, 0, 8, -14, 0, -66, 48, 0, -4, 0, 0, 0, 6, 0, 20, -1, 0, 12, 0, 0, -50, 46, 0, -65, 0, 0, 24, -14, 0, 0, -69, 0, 0, 4, 0, 12, 120, 0, 44, 0, 0, -24, -72, 0, 0, -53, 0, -37, -3, 0, 68, 19, 0, 0, 0, 0, -94, 4, 0, 0, 0, 0, -125, 15, 0, 24, 45, 0, 53, 0, 0, -19, -87, 0, 0, -30, 0, -21, 48, 0, -34, 0, 0, 12, 0, 0, -55, -57, 0, 60, -156, 0, -12, -68, 0, 0, -12, 0, -40, 0, 0, 75, 0, 0, 0, -44, 0, -10, 24, 0, 26, -12, 0, 27, -25, 0, 0, -5, 0, 0, 111, 0, -88, 0, 0, -17, -156, 0, -26, 0, 0, 30, 18, 0, 0, -24, 0, 0, -21, 0, -5, -14, 0, -72, 0, 0, 35, -6, 0, 0, 24, 0, 86, 20, 0, 9, 18, 0, 0, 0, 0, 78, -102, 0, 0, 0, 0, 44, 36, 0, 50, 6, 0, -6, 0, 0, 29, 0, 0, 0, -13, 0, 44, -30, 0, -51, 0, 0, -36, -50, 0, -6, 30, 0, 0, 22, 0, -24, -96, 0, 0, -50, 0, 20, 0, 0, -44, 0, 0, 0, -45, 0, 56, 9, 0, -16, -96, 0, -110, 0, 0, 0, 39, 0, 0, 26, 0, 39, 0, 0, 44, 60, 0, -33, 0, 0, 53, 27, 0, -10, 6, 0, 0, -26, 0, 84, -22, 0, -43, 0, 0, 3, 6, 0, 0, -15, 0, -12, 72, 0, -12, 37, 0, 0, -30, 0, -88, 30, 0, 0, 0, 0, 26, -2, 0, -12, -6, 0, 8, 0, 0, 18, 18, 0, 0, -11, 0, -52, -102, 0, 8, 0, 0, 6, 0, 0, 95, 46, 0, 0, 60, 0, 144, 27, 0, 0, 102, 0, 44, 0, 0, -36, 0, 0, 5, 3, 0, 0, 84, 0, 28, 56, 0, 4, 0, 0, 0, 24, 0, 0, 60, 0, -58, 0, 0, -50, -18, 0, 18, 10, 0, 42, 18, 0, 0, -15, 0, 0, 90, 0, -8, -24, 0, -63, 0, 0, -12, -36, 0, 0, -96, 0, 8, -21, 0, 84, 24, 0, 0, 0, 0, -3, -15, 0, 0, 0, 0, 6, -34, 0, 54, -54, 0, 33, 0, 0, -40, -10, 0, 0, -45, 0, -52, 36, 0, -10, 0, 0, -36, 0, 0, -66, -111, 0, 0, -59, 0, 32, -120, 0, 0, -1, 0, -30, 0, 0, 104, 0, 0, 0, 42, 0, -30, 33, 0, -39, -72, 0, 20, 0, 0, 0, -120, 0, 0, 4, 0, -45, 0, 0, 36, -62, 0, -7, 0, 0, -112, 18, 0, 0, 24, 0, 0, 8, 0, -6, -90, 0, 68, 0, 0, -24, -66, 0, 20, 5, 0, -30, -12, 0, -67, 6, 0, 0, 0, 0, -104, 9, 0, 0, 0, 0, 62, -18, 0, -12, 60, 0, 9, -5, 0, 10, -39, 0, 0, 24, 0, -18, 0, 0, -180, 0, 0, -16, 0, 0, -28, -8, 0, 0, -15, 0, 45, -62, 0, 0, -78, 0, -90, 0, 0, 10, 0, 0, 0, 64, 0, -46, 87, 0, 160, -8, 0, 3, 0, 0, 0, -65, 0, 0, 54, 0, -52, 0, 0, -63, 30, 0, 52, 0, 0, -18, 96, 0, 0, -12, 0, 0, 27, 0, 11, -41, 0, 21, 0, 0, -49, 24, 0, 0, 12, 0, 28], "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": "154.2.e.b", "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], [0], [-1], [0], [0], [1], [0], [5], [0], [0], [1], [-6], [0], [2], [0], [0], [-1], [-6], [0], [-5], [-5], [0], [0], [-3], [0], [8], [-1], [0], [6], [0], [0], [2], [-2], [0], [0], [6], [0], [-4], [1], [0], [6], [-6], [0], [0], [5], [0], [5], [12], [0], [0], [0], [0], [3], [3], [0], [-7], [-8], [0], [1], [0], [0], [-13], [-6], [0], [0], [12], [0], [-10], [-2], [0], [2], [0], [0], [-1], [0], [0], [-6], [-6], [0], [0], [4], [0], [-1], [-6], [0], [0], [-6], [0], [6], [0], [0], [-13], [0], [0], [-5]]}