# Stored data for newform 9702.2.a.bz, downloaded from the LMFDB on 24 April 2024. {"label": "9702.2.a.bz", "space_label": "9702.2.a", "level": 9702, "weight": 2, "hecke_orbit": 52, "hecke_orbit_code": 229683581029459430, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1493936351622444146, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-2, 1]], [13, [-4, 1]], [17, [0, 1]], [19, [4, 1]], [23, [4, 1]], [29, [2, 1]]], "qexp_display": "q+q^{2}+q^{4}+2q^{5}+q^{8}+2q^{10}-q^{11}+\\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": "0.021", "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": "0.988", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.002", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.076", "prec": 17}], "related_objects": ["EllipticCurve/Q/9702/bz"], "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, 2, 0], "traces": [0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, -1, 0, 4, 0, 0, 1, 0, 0, -4, 2, 0, -1, -4, 0, -1, 4, 0, 0, -2, 0, 10, 1, 0, 0, 0, 0, -6, -4, 0, 2, 0, 0, -4, -1, 0, -4, 10, 0, 0, -1, 0, 4, 14, 0, -2, 0, 0, -2, 10, 0, 8, 10, 0, 1, 8, 0, 8, 0, 0, 0, 4, 0, -4, -6, 0, -4, 0, 0, 16, 2, 0, 0, 4, 0, 0, -4, 0, -1, 10, 0, 0, -4, 0, 10, -8, 0, -6, 0, 0, -1, 12, 0, -2, 4, 0, 14, 12, 0, -14, -2, 0, 0, 14, 0, -8, -2, 0, 10, 0, 0, 1, 8, 0, 10, -12, 0, -16, 1, 0, 8, 8, 0, 0, 8, 0, 0, -6, 0, -20, 0, 0, 4, -4, 0, -4, -4, 0, -6, -22, 0, 16, -4, 0, 0, 20, 0, -10, 16, 0, 2, 0, 0, 24, 0, 0, 4, -8, 0, 3, 0, 0, -4, 4, 0, 0, -1, 0, 10, -12, 0, -14, 0, 0, -4, -12, 0, 0, 10, 0, -8, -8, 0, -6, -6, 0, 0, 18, 0, 14, -1, 0, 12, 0, 0, 0, -2, 0, 4, 4, 0, -4, 14, 0, 12, -8, 0, 0, -14, 0, -2, 0, 0, 14, 0, 0, 14, 8, 0, 10, -8, 0, -2, -6, 0, 20, 10, 0, 0, 8, 0, -8, 1, 0, 8, 0, 0, -16, 10, 0, -12, -26, 0, 4, -16, 0, 1, 2, 0, 0, 8, 0, 8, 24, 0, 28, 0, 0, 8, 14, 0, 28, 0, 0, -6, 1, 0, 6, -20, 0, 0, -30, 0, 0, 4, 0, -4, 0, 0, -17, -4, 0, -4, 0, 0, 20, -6, 0, -22, -16, 0, 0, 16, 0, -4, 16, 0, -16, 0, 0, 20, -6, 0, 6, -10, 0, 16, 18, 0, 2, 2, 0, 0, 0, 0, -4, 24, 0, 0, 0, 0, -20, 4, 0, -8, 16, 0, -34, 3, 0, 0, -10, 0, 0, -4, 0, 4, 12, 0, -32, 0, 0, -1, 2, 0, 8, 10, 0, -12, 0, 0, -3, -14, 0, 0, -8, 0, -18, -4, 0, -12, 0, 0, -34, 0, 0, 10, -8, 0, 8, -8, 0, -8, 14, 0, 0, -6, 0, -6, 18, 0, 0, 0, 0, 18, 32, 0, -18, 14, 0, -1, -10, 0, 40, 12, 0, 0, 6, 0, 4, 0, 0, -2, 0, 0, 8, 4, 0, 4, -30, 0, 10, -4, 0, 14, 0, 0, 0, 12, 0, -8, 16, 0, 10, 0, 0, -14, 16, 0, 28, -2, 0, 0, -4, 0, 20, 14, 0, 0, -6, 0, 0, 14, 0, 8, 0, 0, -38, 10, 0, -8, 32, 0, 12, -2, 0, -6, 14, 0, 0, 20, 0, 10, 4, 0, 4, 0, 0, 8, 12, 0, -24, -8, 0, 1, -12, 0, 12, 8, 0, 0, 28, 0, 0, -16, 0, 10, 0, 0, -16, -12, 0, -26, 12, 0, 24, 4, 0, -16, 38, 0, 0, 1, 0, 2, -4, 0, -10, 0, 0, 8, -42, 0, -16, 8, 0, 24, 0, 0, -7, 28, 0, 0, 0, 0, 24, 8, 0, 14, 0, 0, -2, 28, 0, 0, -28, 0, 4, -6, 0, 1, 8, 0, 0, 6, 0, -20, -30, 0, -16, 0, 0, -30, 12, 0, 28, 0, 0, 4, -14, 0, -28, -4, 0, 0, 4, 0, 42, -17, 0, -4, 0, 0, -14, -4, 0, 0, -42, 0, -40, 20, 0, -6, 12, 0, 0, -22, 0, -16, 12, 0, 24, 0, 0, 16, 2, 0, 24, -4, 0, 16, 40, 0, 2, -16, 0, 0, -38, 0, 2, 20, 0, -6, 0, 0, -19, 6, 0, -10, 0, 0, 8, 16, 0, 18, -32, 0, 0, 2, 0, 2, 18, 0, -22, 0, 0, 0, 6, 0, -10, -4, 0, 24, -46, 0, 16, 0, 0, 0, -20, 0, 38, -20, 0, 4, 0, 0, 8, -8, 0, 16, -8, 0, -10, -34, 0, 3, 12, 0, 0, 0, 0, -10, -12, 0, -12, 0, 0, -4, 56, 0, -42, 4, 0, 12, -40, 0, 0, -32, 0, 0, 6, 0, 24, -1, 0, 2, 0, 0, -10, 8, 0, 10, -40, 0, -8, -12, 0, 0, 6, 0, 0, -3, 0, -14, 2, 0, -46, 0, 0, -8, 0, 0, 8, -18, 0, -4, -8, 0, -52, -12, 0, 0, -16, 0, -44, -34, 0, 0, 0, 0, 20, 10, 0, -8, 32, 0, 30, 8, 0, -8, -12, 0, 0, -8, 0, 14, 40, 0, -4, 0, 0, -6, -34, 0, -10, -6, 0, 18, 0, 0, -4, 0, 0, 0, -20, 0, -20, 18, 0, 32, 0, 0, 32, -18, 0, 14, 26, 0, 0, -1, 0, -10, 4, 0, 0, 40, 0, 12, -26, 0, 40, 0, 0, 6, 48, 0, 16, 4, 0, 0, 50, 0, 8, -2, 0, 0, 20, 0, 14, 8, 0, 4, 0, 0, -16, 4, 0, -30, 30, 0, -25, 10, 0, -4, 6, 0, 0, 14, 0, 0, 24, 0, -4, 0, 0, 12, 12, 0, -14, -8, 0, 16, -40, 0, 8, 10, 0, 0, -16, 0, 32, -14, 0, 16, 0, 0, -22, 28, 0, -2, -42, 0, -4, 0, 0, -4, -28, 0, 0, 20, 0, 14, -40, 0, -24, 0, 0, -6, -20, 0, 0, 0, 0, 14, -28, 0, 48, 8, 0, 0, 4, 0, -4, -38, 0, 10, 0, 0, -56, -8, 0, 32, 16, 0, 6, 12, 0, -2, -10, 0, 0, -6, 0, 14, 0, 0, 52, 0, 0, 20, 0, 0, 0, 10, 0, 4, -12, 0, -16, 4, 0, 0, -34, 0, -16, 8, 0, 12, 0, 0, 69, -24, 0, -8, -12, 0, -24, 1, 0, -12, 30, 0, 0, 12, 0, 8, 22, 0, -10, 0, 0, 28, 26, 0, 36, 0, 0, -16, 16, 0, -4, 10, 0, 0, 28, 0, -36, -16, 0, -12, 0, 0, 0, -26, 0, 12, -56, 0, 26, 24, 0, 4, -18, 0, 0, -16, 0, 38, -52, 0, -2, 0, 0, 1, 0, 0, 64, 2, 0, -4, -24, 0, 6, -10, 0, 0, 0, 0, 14, 8, 0, -42, 0, 0, 8, -16, 0, 8, 38, 0, 12, 24, 0, 0, -8, 0, 0, -7, 0, 28, -10, 0, -4, 0, 0, 0, 6, 0, -20, 24, 0, 8, 12, 0, 4, 14, 0, 0, 16, 0, -40, -2, 0, 28, 0, 0, 40, 0, 0, -28, -4, 0, -2, 4, 0, -6, -48, 0, 0, 1, 0, 8, -24, 0, 0, 0, 0, 6, 38, 0, -12, -20, 0, -30, 28, 0, 22, -16, 0, 0, -40, 0, 34, -30, 0, 12, 0, 0, -2, 28, 0, 0, 2, 0, 16, 4, 0, -14, 0, 0, 0, -28, 0, -4, 20, 0, -60, 0, 0, 4, 16, 0, -38, 42, 0, -17, 40, 0, -32, -4, 0, 0, 60, 0, -12, -14, 0, -4, 0, 0, 40, 0, 0, -42, -10, 0, -12, -40, 0, 20, -54, 0, 0, -6, 0, 12, -12, 0, 0, 0, 0, -22, -6, 0, 16, -16, 0, 12, 14, 0, 22, 24, 0, 0, -16, 0, 0, 16, 0, 2, 0, 0, 18, 24, 0, -4, -4, 0, -56, 16, 0, 40, -4, 0, 0, 2, 0, -16, -14, 0, -24, 0, 0, -38, -32, 0, 34, 2, 0, 20, 0, 0, -14, -6, 0, 0, 8, 0, 28, -19, 0, 6, 0, 0, -52, -10, 0, 0, -10, 0, -24, 8, 0, 16, 8, 0, 0, 18, 0, -32, 0, 0, -32, 0, 0, 2, -22, 0, -50, 2, 0, 18, 4, 0, 4, -22, 0, 0, 30, 0, -18, 0, 0, 6, 0, 0, -18, -10, 0, -4, 6, 0, 8, 24, 0, -46, -54, 0, 0, 16, 0, 0, 48, 0, 48, 0, 0, -20, 12, 0, 14, 38, 0, -20, -14, 0, -56, 4, 0, 0, -1, 0, -40, 8, 0, -8, 0, 0, -8, 16, 0, -8, 0, 0, 28, -10, 0, -34, -16, 0, 0, 3, 0, 12, 56, 0, -40, 0, 0, 0, -36, 0, -20, -10, 0, -12, 52, 0, -1, -12, 0, 0, 66, 0, 12, -4, 0, 56, 0, 0, 58, -42, 0, 4, 12, 0, 16, 12, 0, -40, 48, 0, 0, 0, 0, -32, 16, 0, -28, 0, 0, 6, -32, 0, -60, 24, 0, -1, 18, 0, 0, 2, 0, 0, 0, 0, -56, -10, 0, 8, 0, 0, -16, 10, 0, -40, 0, 0, 34, -8, 0, -12, -18, 0, 0, 0, 0, 6, 48, 0, -8, 0, 0, -3, -34, 0, -44, -14, 0, 2, -36, 0, -14, -46, 0, 0, 100, 0, 8, -8, 0, 0, 0, 0, 0, 8, 0, -18, 56, 0, 8, -4, 0, -8, -10, 0, 0, -52, 0, -12, 62, 0, -22, 0, 0, -16, -60, 0, 26, -44, 0, -34, -14, 0, -32, 0, 0, 0, 8, 0, -64, 20, 0, 10, 0, 0, 6, -8, 0, 32, -26, 0, 0, 30, 0, 8, 0, 0, 0, -8, 0, -12, -16, 0, -8, 0, 0, -8, 20, 0, -36, 14, 0, 40, -32, 0, -28, -4, 0, 0, -32, 0, 2, -6, 0, -34, 0, 0, 2, -10, 0, -6, 40, 0, -12, 18, 0, 0, 72, 0, 0, -4, 0, 0, 12, 0, 10, 0, 0, -20, -46, 0, 4, -20, 0, 18, -16, 0, 60, 32, 0, 0, -56, 0, 36, 32, 0, -18, 0, 0, 24, 14, 0, 26, 4, 0, 22, 0, 0, -1, 28, 0, 0, -10, 0, 4, -28, 0, 62, 0, 0, 40, -56, 0, 0, 12, 0, -26, -4, 0, 10, 40, 0, 0, -48, 0, 52, 6, 0, 48, 0, 0, -16, 16, 0, 4, 74, 0, 22, 0, 0, 50, 140, 0, 0, 8, 0, -2, 0, 0, -64, 0, 0, 20, -40, 0, 32, 14, 0, 8, -16, 0, 0, 4, 0, 0, -60, 0, 8, -16, 0, 4, 0, 0, -8, -30, 0, 30, 16, 0, -41, -25, 0, 10, -68, 0, 0, -4, 0, 6, -40, 0, 60, 0, 0, 14, -14, 0, -30, 0, 0, 24, 32, 0, -20, -4, 0, 0, 22, 0, -20, 12, 0, 12, 0, 0, 0, -14, 0, -8, -66, 0, 4, 16, 0, -40, 10, 0, 0, 8, 0, 10, -74, 0, 24, 0, 0, -16, -60, 0, -42, 32, 0, -14, -64, 0, 32, 16, 0, 0, 0, 0, -46, -22, 0, 28, 0, 0, -40, -2, 0, -42, 0, 0, 4, -4, 0, 0, -16, 0, 0, -4, 0, -28, -4, 0, -76, 0, 0, 20, -24, 0, 6, 14, 0, -40, -60, 0, -34, -24, 0, 0, -24, 0, 0, -6, 0, -20, 0, 0, -70, 0, 0, 0, -6, 0, -80, 14, 0, -28, 20, 0, 0, 48, 0, 8, -64, 0, 0, 0, 0, 4, 48, 0, 4, -4, 0, -38, 100, 0, 4, 10, 0, 0, -36, 0, 8, -56, 0, -8, 0, 0, 24, 32, 0, 16, 36, 0, -27, 6, 0, 12, 0, 0, 0, -2, 0, -10, -3, 0, 20, 0, 0, -6, -68, 0, -36, 14, 0, 0, 36, 0, -2, 52, 0, 0, 34, 0, 38, 20, 0, 0, 0, 0, -16, 0, 0, 10, 0, 0, 80, 4, 0, -12, 16, 0, 0, -16, 0, 4, -50, 0, -4, 0, 0, -34, -10, 0, -16, -16, 0, 8, -6, 0, 28, 12, 0, 0, -48, 0, 0, 69, 0, -24, 0, 0, 0, -8, 0, -12, -60, 0, -74, -24, 0, 1, -88, 0, 0, -12, 0, 30, -16, 0, 36, 0, 0, 12, 32, 0, 74, 8, 0, 22, 0, 0, 8, -10, 0, 0, -84, 0, 64, 28, 0, 26, 0, 0, 12, 36, 0, 0, -18, 0, -16, -16, 0, 16, -4, 0, 0, -4, 0, 10, -36, 0, -68, 0, 0, 28, 14, 0, -76, -36, 0, -16, -42, 0, -88, -12, 0, 0, 32, 0, -20, 0, 0, -26, 0, 0, 64, 12, 0, -56, 80, 0, -50, 26, 0, 24, -40, 0, 0, 4, 0, -18, 12, 0, 22, 0, 0, -16, -48, 0, 12, 38, 0, -52, 32, 0, -40, -2, 0, 0, 8, 0, -40, 1, 0, 0, 0, 0, 62, 64, 0, 2, 0, 0, -8, -4, 0, -24, -24, 0, 0, 6, 0, -10, 18, 0, 56, 0, 0, 0, -4, 0, 80, 14, 0, 8, 18, 0, 76, -42, 0, 0, 0, 0, -60, 8, 0, -16, 0, 0, -60, 8, 0, 38, 70, 0, 8, 12, 0, 24, 20, 0, 0, 0, 0, -8, -24, 0, -6, 0, 0, -7, 8, 0, 96, 28, 0, -10, 6, 0, 0, -4, 0, 0, -54, 0, 16, 0, 0, 6, 0, 0, 50, -20, 0, 24, 16, 0, -8, 8, 0, 12, -56, 0, 0, 4, 0, 14, -82, 0, 32, 0, 0, 16, 0, 0, 22, -40, 0, -2, 20, 0, -18, 28, 0, 0, -32, 0, 0, 40, 0, 0, 0, 0, -16, -28, 0, -4, -60, 0, 32, -2, 0, 4, -14, 0, 0, -6, 0, -48, 56, 0, -40, 0, 0, 1, 40, 0, 66, 8, 0, -24, -24, 0, 53, 0, 0, 0, -18, 0, -8, 6, 0, 38, 0, 0, -50, -12, 0, -20, -10, 0, 0, -30, 0, 28, 24, 0, 0, 22, 0, -16, 30, 0, 40, 0, 0, -40, -4, 0, -12, 34, 0, -30, 16, 0, -20, 12, 0, 0, 0, 0, -48, -2, 0, 28, 0, 0, -40, 0, 0, 2, 30, 0, -30, 16, 0, 4, 80, 0, 0, -14, 0, 0, -56, 0, -58, 0, 0, -28, -76, 0, -52, -4, 0, 20, -32, 0, 22, -60, 0, 0, -54, 0, -4, 4, 0, 16, 0, 0, 64, -38, 0, 42, -36, 0, 56, -17, 0, 40, 24, 0, 0, -32, 0, -4, 4, 0, -48, 0, 0, 60, -48, 0, 0, -12, 0, -14, -14, 0, 28, -4, 0, 0, -60, 0, 34, 40, 0, 0, 0, 0, -8, -42, 0, -10, 72, 0, -56, -12, 0, -40, 54, 0, 0, 20, 0, -54, 0, 0, 8, 0, 0, -6, 8, 0, 28, 12, 0, -12, 48, 0, -34, 0, 0, 0, -46, 0, -36, -22, 0, -6, 0, 0, -10, 16, 0, -16, -72, 0, 24, 12, 0, 14, -22, 0, 0, 22, 0, 24, -48, 0, -8, 0, 0, -16, 64, 0, 64, 0, 0, 16, 54, 0, 0, 2, 0, 0, 0, 0, 6, 18, 0, 24, 0, 0, 0, -4, 0, -4, 24, 0, -50, -56, 0, 16, -88, 0, 0, 40, 0, -4, 72, 0, 160, 0, 0, 2, -14, 0, 56, -16, 0, -14, -60, 0, -48, -24, 0, 0, 0, 0, 66, -38, 0, -32, 0, 0, -10, 34, 0, 2, -60, 0, -48, 20, 0, 0, -32, 0, 0, -14, 0, -6, -32, 0, 140, 0, 0, 8, -32, 0, -8, 28, 0, -19, 0, 0, -32, 6, 0, 0, 56, 0, -24, -52, 0, -10, 0, 0, 24, 0, 0, -10, -10, 0, 10, -24, 0, 8, -12, 0, 0, 16, 0, 8, -32, 0, 0, 0, 0, 18, -40, 0, 6, -32, 0, 0, 88, 0, 76, -32, 0, 0, 90, 0, -24, 2, 0, -22, 0, 0, 50, -50, 0, 2, 72, 0, 6, 18, 0, 4, 0, 0, 0, 4, 0, -22, 40, 0, 2, 0, 0, 30, 6, 0, -20, -18, 0, 0, -20, 0, 56, 6, 0, 0, 48, 0, -24, -18, 0, -10, 0, 0, -56, -4, 0, 6, 24, 0, -84, 8, 0, 24, 64, 0, 0, -46, 0, -54, -32, 0, 8, 0, 0, 16, 2, 0, -32, 0, 0, 48, -24, 0, -8, 48, 0, 0, -46, 0, 0, -20, 0, 12, 0, 0, 80, 14, 0, 38, -14, 0, -48, -20, 0, -14, 8, 0, 0, -56, 0, 4, -66, 0, -28, 0, 0, -1, -14, 0, 0, -40, 0, 8, 0, 0, -16, -8, 0, 0, -12, 0, -98, -8, 0, 16, 0, 0, 84, -8, 0, 0, -30, 0, -50, 28, 0, -10, 62, 0, 0, -34, 0, -16, 16, 0, 24, 0, 0, 3, -4, 0, -46, 12, 0, 56, -16, 0, 46, -40, 0, 0, 16, 0, 20, 0, 0, -36, 0, 0, 14, -20, 0, -10, -54, 0, -40, -12, 0, 52, 8, 0, 0, -1, 0, -12, -2, 0, -16, 0, 0, 66, 0, 0, 0, 12, 0, -4, 78, 0, 16, 56, 0, 0, 100, 0, 26, 58, 0, -42, 0, 0, 32, 4, 0, 12, 0, 0, 100, 16, 0, 12, 42, 0, 0, -40, 0, 48, -4, 0, -60, 0, 0, 0, 4, 0, -40, -32, 0, 16, -32, 0, 46, -28, 0, 0, -90, 0, 94, 6, 0, -32, 0, 0, 143, -60, 0, 24, 12, 0, 24, -1, 0, 18, -6, 0, 0, 0, 0, 2, -14, 0, -2, 0, 0, 0, 88, 0, -12, -56, 0, -10, -2, 0, 0, 8, 0, 0, -68, 0, -28, -16, 0, 10, 0, 0, -84, -40, 0, 0, -56, 0, 38, 34, 0, -8, 50, 0, 0, -12, 0, -18, 80, 0, -64, 0, 0, 0, 0, 0, 48, 6, 0, 48, -64, 0, -32, -8, 0, 0, 84, 0, 74, -3, 0, -34, 0, 0, -24, -44, 0, -14, -102, 0, 56, 2, 0, -36, -16, 0, 0, -14, 0, -46, -62, 0, 0, 0, 0, 100, -28, 0, 96, 8, 0, -8, 64, 0, -96, 0, 0, 0, 52, 0, -24, 0, 0, 8, 0, 0, -84, -18, 0, 56, -40, 0, 0, 8, 0, -4, -80, 0, 0, -8, 0, -10, 32, 0, 14, 0, 0, -52, 38, 0, -14, -12, 0, 62, 56, 0, 24, -22, 0, 0, -6, 0, -98, -16, 0, -60, 0, 0, 40, 26, 0, -44, -28, 0, 40, -34, 0, -14, 4, 0, 0, -32, 0, 0, 0, 0, 24, 0, 0, 8, -36, 0, 70, -64, 0, 20, 48, 0, -60, 10, 0, 0, -52, 0, -32, 6, 0, -8, 0, 0, -60, 32, 0, -26, 82, 0, -1, 0, 0, 30, -24, 0, 0, 8, 0, 0, 48, 0, -18, 0, 0, -8, -18, 0, 0, -12, 0, -16, -6, 0, -66, -8, 0, 0, -16, 0, 80, -8, 0, 20, 0, 0, 94, -36, 0, 14, 4, 0, 48, 40, 0, -32, -24, 0, 0, -28, 0, -4, 0, 0, 72, 0, 0, -32, -74, 0, -76, 2, 0, -6, 18, 0, 30, -34, 0, 0, 4, 0, -96, 2, 0, -10, 0, 0, -24, -6, 0, 40, 32, 0, 98, -12, 0, 18, 0, 0, 0, 0, 0, 72, 48, 0, 44, 0, 0, -4, 22, 0, 140, 0, 0, 12, 120, 0, -32, 10, 0, 0, 70, 0, 16, -20, 0, -46, 0, 0, 0, 4, 0, -20, 80, 0, 24, 18, 0, -16, 16, 0, 0, 60, 0, 32, 28, 0, -44, 0, 0, -56, 48, 0, -110, 36, 0, 32, 32, 0, 16, -18, 0, 0, 17, 0, -64, 24, 0, 14, 0, 0, 4, 26, 0, 4, 38, 0, -20, 22, 0, 0, 80, 0, 0, -1, 0, 28, -36, 0, 36, 0, 0, -10, 0, 0, -12, 4, 0, -28, -44, 0, -58, 62, 0, 0, 10, 0, 0, 40, 0, -56, 0, 0, -94, 0, 0, 12, 112, 0, 12, -26, 0, -4, 0, 0, 0, 10, 0, 40, -20, 0, 0, 0, 0, -48, -24, 0, -88, 52, 0, 6, 102, 0, -20, 48, 0, 0, -104, 0, -92, -16, 0, 16, 0, 0, -92, 4, 0, 74, -8, 0, -28, 22, 0, 0, 0, 0, 0, 50, 0, 140, -16, 0, 16, 0, 0, 8, -60, 0, -40, -2, 0, 0, -4, 0, -90, -64, 0, 0, 76, 0, -12, 20, 0, -40, 0, 0, 78, 32, 0, 14, 120, 0, 64, 8, 0, -16, 22, 0, 0, 0, 0, 4, 2, 0, 74, 0, 0, -60, 16, 0, 40, 8, 0, -16, 8, 0, 80, 4, 0, 0, -48, 0, 0, -8, 0, -30, 0, 0, -16, 30, 0, 16, 6, 0, -46, -41, 0, -25, -20, 0, 0, 10, 0, -68, 44, 0, 104, 0, 0, -4, 16, 0, -140, 6, 0, -40, 0, 0, 24, 60, 0, 0, 30, 0, -10, 14, 0, -14, 0, 0, -64, -30, 0, 0, 48, 0, 0, 24, 0, 32, -48, 0, 0, -20, 0, -4, 102, 0, -24, 0, 0, 22, 96, 0, 6, -20, 0, 12, 6, 0, 88, 12, 0, 0, -40, 0, 94, 0, 0, -14, 0, 0, 56, -8, 0, -66, -6, 0, 112, 4, 0, 16, 16, 0, 0, -40, 0, 10, -84, 0, 46, 0, 0, 8, -40, 0, 82, 10, 0, -74, -12, 0, -30, 24, 0, 0, -64, 0, 20, -16, 0, -60, 0, 0, 41, -42, 0, 32, 0, 0, -18, -14, 0, -64, -90, 0, 0, 32, 0, 16, 56, 0, 26, 0, 0, 0, 140, 0, 12, -46, 0, -22, -2, 0, -16, 28, 0, 0, 48, 0, 84, -40, 0, -2, 0, 0, 112, -42, 0, 0, 28, 0, -10, 4, 0, -4, 40, 0, 0, 0, 0, -16, -84, 0, -68, 0, 0, -4, -20, 0, 14, -28, 0, -4, 112, 0, 0, -76, 0, 0, -54, 0, -48, 20, 0, -24, 0, 0, -80, 6, 0, 14, -16, 0, -76, -40, 0, -60, 4, 0, 0, -34, 0, -24, 102, 0, -80, 0, 0, -24, 0, 0, 36, 0, 0, -6, -2, 0, 12, -20, 0, 0, 80, 0, 24, -70, 0, 0, 0, 0, 96, 0, 0, -6, 40, 0, 62, -80, 0, 14, 26, 0, 0, -28, 0, 20, 104, 0, 24, 0, 0, 48, 32, 0, -18, 8, 0, -64, -92, 0, -14, 0, 0, 0, 20, 0, 64, 4, 0, 48, 0, 0, 0, 4, 0, -4, -120, 0, 0, -38, 0, 100, -92, 0, 0, 4, 0, 10, 16, 0, 24, 0, 0, -36, 32, 0, -52, 8, 0, -56, -14, 0, 0, -8, 0, 0, 32, 0, -16, 24, 0, 32, 0, 0, -84, 16, 0, 36, -104, 0, 38, -27, 0, 6, -94, 0, 0, 12, 0, 0, 34, 0, 104, 0, 0, -2, 160, 0, -32, -10, 0, -3, -108, 0, 3, 20, 0, 0, 22, 0, 2, -6, 0, -68, 0, 0, -58, -36, 0, 14, -72, 0, 76, 0, 0, 36, -72, 0, 0, -2, 0, 52, -96, 0, 10, 0, 0, 34, 40, 0, -68, 38, 0, 20, 14, 0, 56, 0, 0, 0, -52, 0, 88, -16, 0, 0, 0, 0, -16, 10, 0, 0, -48, 0, -56, 80, 0, 4, 60, 0, 0, -12, 0, 16, 0, 0, 26, 0, 0, -16, 112, 0, -16, 4, 0, -50, -28, 0, -24, -4, 0, 0, 0, 0, 12, -34, 0, -10, 0, 0, -12, -16, 0, -16, 50, 0, 24, 8, 0, -6, -40, 0, 0, 28, 0, 12, 54, 0, 80, 0, 0, -48, 32, 0, 32, 0, 0, 69, -8, 0, -8, -24, 0, 0, -24, 0, 82, 0, 0, -8, 0, 0, 0, -12, 0, -60, -12, 0, -68, -74, 0, -24, -56, 0, 0, 1, 0, -88, -120, 0, -46, 0, 0, -12, -62, 0, -2, 30, 0, -16, -12, 0, -18, 36, 0, 0, 0, 0, 0, 12, 0, 32, 0, 0, 40, 74, 0, 8, -8, 0, 36, 22, 0, 0, 4, 0, 0, 8, 0, -10, -14, 0, 82, 0, 0, -84, 76, 0, 10, 64, 0, 28, -10, 0, 96, 26, 0, 0, -40, 0, -160, 12, 0, 36, 0, 0, 28, 0, 0, -18, -38, 0, 0, -16, 0, -16, 80, 0, 0, 16, 0, -4, -72, 0, 0, 0, 0, -4, 64, 0, -76, 10, 0, -36, 3, 0, 12, -68, 0, 0, 0, 0, -16, 28, 0, 14, 0, 0, 52, -76, 0, -36, 28, 0, -64, -16, 0, -42, 0, 0, 0, -88, 0, -12, -26, 0, -44, 0, 0, 32, 78, 0, 16, -20, 0, 0, -18, 0, 8, -26, 0, 0, -52, 0, -96, 64, 0, 12, 0, 0, -20, -56, 0, 80, 40, 0, 84], "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.a.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], [2], [0], [0], [1], [0], [2], [-1], [0], [4], [0], [0], [1], [0], [0], [-4], [2], [0], [-1], [-4], [0], [-1], [4], [0], [0], [-2], [0], [10], [1], [0], [0], [0], [0], [-6], [-4], [0], [2], [0], [0], [-4], [-1], [0], [-4], [10], [0], [0], [-1], [0], [4], [14], [0], [-2], [0], [0], [-2], [10], [0], [8], [10], [0], [1], [8], [0], [8], [0], [0], [0], [4], [0], [-4], [-6], [0], [-4], [0], [0], [16], [2], [0], [0], [4], [0], [0], [-4], [0], [-1], [10], [0], [0], [-4], [0], [10], [-8], [0], [-6], [0], [0], [-1]]}