# Stored data for newform 9702.2.a.r, downloaded from the LMFDB on 25 April 2024.
{"label": "9702.2.a.r", "space_label": "9702.2.a", "level": 9702, "weight": 2, "hecke_orbit": 18, "hecke_orbit_code": 76561193698862566, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1743366973646870504, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [-2, 1]], [13, [-2, 1]], [17, [2, 1]], [19, [0, 1]], [23, [0, 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": "0.022", "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": "1.009", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.033", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.122", "prec": 17}], "related_objects": ["EllipticCurve/Q/9702/r"], "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, 2, 0, 0, 1, -2, 0, 0, 2, 0, 1, 0, 0, -1, -2, 0, 0, 2, 0, -4, -1, 0, 2, 0, 0, -2, 0, 0, -2, -10, 0, 4, -1, 0, 0, 4, 0, 0, 1, 0, 2, 2, 0, -2, 0, 0, -2, -12, 0, 2, 4, 0, 1, 4, 0, 12, -2, 0, 0, -8, 0, -6, 2, 0, 0, 0, 0, -8, 2, 0, 10, -8, 0, -4, -4, 0, 1, -14, 0, 0, 0, 0, -4, 0, 0, 14, 0, 0, -1, -10, 0, -4, -2, 0, -2, 12, 0, 14, 2, 0, 0, -18, 0, 0, 2, 0, 12, 0, 0, 1, -2, 0, -4, -12, 0, 8, -1, 0, -4, 0, 0, 0, -12, 0, 2, -10, 0, 0, 0, 0, 8, -2, 0, 4, 6, 0, -2, 10, 0, 8, 0, 0, 0, -8, 0, -18, 8, 0, -2, 0, 0, 4, -10, 0, 8, 0, 0, -9, 4, 0, 4, 6, 0, 0, -1, 0, 14, -12, 0, -2, 0, 0, 0, -4, 0, 2, 4, 0, 0, 8, 0, 2, -14, 0, 0, -6, 0, -20, 1, 0, 10, 0, 0, -20, 4, 0, 2, 0, 0, 12, 2, 0, -12, 8, 0, 0, -14, 0, -2, -4, 0, -20, 0, 0, 18, 0, 0, 14, 0, 0, -2, 6, 0, 8, -12, 0, 0, -16, 0, -30, -1, 0, 2, 0, 0, 0, 4, 0, 12, 4, 0, 0, -8, 0, 1, -6, 0, 0, 4, 0, 0, -32, 0, 4, 0, 0, 12, 10, 0, 8, -2, 0, 10, 1, 0, -10, 0, 0, 0, -10, 0, -16, -8, 0, 2, 0, 0, -13, -4, 0, -6, 14, 0, -24, 2, 0, -10, 0, 0, 0, -8, 0, 0, 4, 0, -8, 0, 0, 8, 20, 0, 30, 18, 0, -8, -22, 0, -2, 2, 0, 0, 0, 0, -2, -4, 0, 10, 0, 0, 20, -8, 0, 0, 24, 0, -22, 9, 0, -4, 4, 0, 0, -4, 0, -6, 12, 0, 26, 0, 0, 1, -6, 0, -16, -14, 0, 12, 32, 0, -19, 2, 0, 0, -12, 0, 28, 0, 0, 4, 0, 0, 22, -2, 0, -4, 4, 0, -20, 0, 0, -8, 12, 0, 0, -2, 0, 14, -22, 0, 0, 0, 0, 6, -16, 0, 30, 20, 0, -1, -18, 0, -8, -10, 0, 0, 2, 0, -14, 20, 0, -4, 0, 0, -16, -2, 0, 0, -12, 0, 6, -12, 0, -2, 2, 0, 0, 12, 0, -8, 40, 0, -18, 0, 0, 14, 0, 0, -16, 2, 0, 4, 12, 0, -28, 20, 0, 0, 30, 0, 10, -18, 0, 0, 0, 0, -38, -14, 0, 0, -18, 0, 16, 2, 0, -6, 4, 0, 0, -8, 0, 12, -4, 0, 0, 0, 0, 16, -32, 0, -4, 30, 0, 1, 28, 0, -32, -2, 0, 0, 36, 0, -4, 0, 0, -4, 0, 0, 28, -12, 0, -4, 16, 0, -20, 0, 0, 8, 10, 0, 0, -1, 0, 6, -8, 0, -4, 0, 0, -4, -30, 0, 16, 0, 0, 32, 8, 0, -23, -4, 0, 0, -20, 0, 24, -12, 0, -10, 0, 0, 30, -8, 0, 2, 28, 0, -44, -10, 0, -1, 0, 0, 0, 10, 0, 0, -14, 0, 8, 0, 0, 10, 0, 0, -36, 16, 0, 8, 22, 0, 44, -2, 0, 0, 0, 0, -10, 13, 0, 4, 0, 0, -2, 6, 0, -14, -28, 0, 0, 24, 0, -2, -34, 0, 0, 10, 0, 0, 24, 0, 18, 0, 0, 8, 2, 0, -32, 0, 0, -4, 8, 0, 38, 8, 0, 0, -26, 0, 20, -8, 0, -20, 0, 0, -19, -30, 0, -18, 4, 0, 0, 8, 0, 22, 16, 0, 0, 2, 0, -2, -18, 0, -44, 0, 0, 0, -28, 0, 12, 2, 0, 4, -30, 0, 0, -10, 0, 0, 20, 0, -18, -20, 0, 8, 0, 0, 0, 0, 0, -24, -2, 0, 26, 22, 0, -9, 14, 0, 0, 4, 0, -4, 28, 0, -20, 0, 0, 4, 4, 0, -28, 6, 0, -12, 0, 0, 20, -26, 0, 0, -30, 0, 0, -1, 0, 6, 0, 0, -2, 16, 0, 14, 0, 0, -4, -12, 0, -32, 28, 0, 0, 19, 0, -2, -2, 0, -28, 0, 0, 12, -8, 0, -46, -28, 0, 0, -12, 0, 20, -4, 0, 0, 40, 0, 20, -22, 0, 2, 0, 0, -8, 4, 0, -4, 16, 0, -18, 20, 0, 0, -2, 0, 0, 8, 0, -12, -24, 0, 26, 0, 0, 2, 10, 0, 4, -14, 0, 22, 0, 0, 8, 0, 0, 0, -36, 0, -32, -6, 0, 16, 0, 0, 4, -30, 0, -20, 34, 0, -8, 1, 0, 18, 6, 0, 0, 8, 0, 10, 14, 0, 0, 0, 0, -2, 8, 0, 0, 14, 0, -20, -22, 0, -48, 4, 0, 0, 36, 0, 6, 16, 0, 2, 0, 0, 0, 0, 0, 12, -12, 0, -25, -6, 0, 12, -18, 0, 0, 2, 0, -2, 0, 0, -6, 0, 0, -12, -34, 0, -4, 8, 0, -40, -24, 0, 12, 18, 0, 0, 8, 0, 24, -14, 0, 0, 0, 0, -2, 16, 0, -2, -14, 0, -28, -4, 0, -12, 24, 0, 0, 28, 0, -20, 0, 0, -24, 0, 0, -30, -8, 0, -4, -10, 0, 18, -4, 0, -12, 0, 0, 0, 40, 0, 8, 38, 0, 14, 0, 0, -40, 0, 0, 18, -16, 0, 2, -16, 0, -2, -54, 0, 0, 6, 0, -4, 4, 0, -22, 0, 0, 8, 6, 0, 0, -12, 0, 4, -4, 0, -12, 0, 0, 0, -18, 0, 16, -16, 0, 32, 0, 0, -15, 4, 0, -30, 4, 0, -40, -1, 0, -28, -52, 0, 0, 32, 0, 2, -2, 0, 14, 0, 0, -36, -4, 0, -12, 4, 0, 0, 0, 0, 16, 4, 0, 0, -40, 0, -14, -28, 0, 12, 0, 0, 24, 4, 0, -16, 0, 0, -46, 20, 0, 0, -14, 0, 0, -8, 0, -10, -36, 0, 14, 0, 0, 1, 10, 0, -16, -6, 0, 8, -24, 0, 18, 4, 0, 0, -4, 0, 4, 4, 0, 30, 0, 0, 0, -16, 0, 0, -54, 0, 28, -32, 0, -8, 24, 0, 0, 23, 0, 4, 42, 0, -32, 0, 0, 20, -14, 0, 42, -24, 0, 12, -4, 0, -4, 10, 0, 0, -16, 0, 0, -30, 0, 8, 0, 0, 16, -2, 0, -28, 0, 0, 30, 44, 0, 10, 46, 0, 0, 1, 0, 0, 16, 0, -8, 0, 0, -10, -30, 0, 10, 0, 0, 14, -40, 0, -2, -8, 0, 0, 0, 0, -20, -10, 0, 0, 0, 0, 2, 36, 0, -16, 4, 0, 0, -8, 0, -22, -24, 0, 0, -44, 0, 2, 28, 0, 8, 0, 0, 0, 24, 0, -10, 10, 0, -13, -28, 0, 0, -4, 0, 0, 28, 0, 12, 2, 0, -6, 0, 0, -20, 14, 0, 28, -4, 0, -12, 0, 0, -24, -30, 0, 0, 2, 0, 34, -52, 0, -20, 0, 0, -10, 34, 0, -32, 0, 0, -24, -14, 0, 58, -18, 0, 0, -60, 0, 16, -8, 0, -2, 0, 0, -10, 32, 0, 0, 30, 0, 0, 4, 0, -8, -32, 0, 0, -38, 0, -8, -14, 0, 24, 0, 0, 26, 0, 0, 6, -20, 0, 8, 12, 0, 18, 20, 0, 0, 8, 0, -46, 19, 0, 30, 0, 0, 8, 18, 0, -4, 44, 0, 28, 0, 0, -8, 0, 0, 0, -22, 0, -16, 40, 0, 0, 0, 0, -2, -22, 0, 52, 2, 0, 18, -52, 0, -12, 44, 0, 0, -18, 0, 52, 0, 0, 28, 0, 0, -22, -12, 0, -2, -6, 0, 56, -4, 0, 30, 20, 0, 0, 0, 0, 10, -20, 0, -64, 0, 0, -20, 48, 0, 46, 18, 0, 20, -2, 0, -40, -8, 0, 0, -1, 0, -16, 0, 0, 0, 0, 0, -8, 24, 0, 2, 16, 0, 20, -26, 0, -22, 0, 0, 0, 9, 0, -14, 16, 0, 0, 0, 0, -4, -42, 0, 8, 4, 0, -28, -8, 0, -33, 20, 0, 0, 18, 0, 12, -4, 0, -4, 0, 0, -10, 28, 0, -6, -20, 0, 0, 12, 0, 0, 24, 0, 0, -20, 0, 26, -8, 0, 0, 0, 0, 30, 0, 0, -20, 0, 0, 1, 46, 0, 16, -6, 0, 0, -32, 0, 28, 2, 0, -16, 0, 0, -48, -14, 0, 0, -16, 0, 70, 4, 0, 12, -70, 0, 0, 32, 0, -28, 48, 0, 0, 0, 0, -19, -26, 0, 48, 2, 0, 2, -36, 0, -58, 28, 0, 0, -16, 0, -16, -12, 0, 8, 0, 0, 28, 46, 0, 28, -36, 0, -32, 0, 0, 12, 12, 0, 0, -20, 0, 4, -66, 0, -44, 0, 0, -40, 56, 0, -50, -20, 0, 22, 10, 0, 0, -2, 0, 0, 36, 0, 0, 8, 0, -4, 0, 0, 10, 4, 0, -16, -36, 0, 28, 18, 0, -20, 20, 0, 0, 0, 0, 2, 36, 0, -2, 0, 0, -8, 0, 0, 40, 12, 0, 24, -16, 0, 4, -26, 0, 0, 0, 0, 28, -2, 0, -10, 0, 0, -50, -4, 0, 14, 38, 0, 40, -22, 0, 0, 32, 0, 0, -8, 0, 0, 60, 0, -76, 0, 0, 36, 12, 0, 2, 32, 0, 6, 0, 0, 44, -16, 0, 0, -24, 0, -44, -4, 0, 30, 0, 0, -8, 20, 0, -34, -4, 0, 62, 8, 0, -1, 14, 0, 0, -18, 0, -6, 56, 0, -26, 0, 0, -8, 6, 0, 0, -10, 0, -14, 36, 0, 46, 0, 0, 0, -24, 0, 16, 2, 0, -8, 0, 0, 0, 0, 0, -14, 66, 0, -10, 20, 0, 22, -8, 0, 0, 48, 0, -4, -28, 0, 16, 0, 0, -36, 40, 0, 26, -6, 0, -16, -8, 0, -32, -2, 0, 0, 28, 0, -6, 0, 0, 0, 0, 0, -12, -12, 0, 12, 0, 0, 59, 25, 0, 6, -44, 0, 0, -12, 0, 18, 0, 0, 58, 0, 0, -2, 66, 0, -12, 2, 0, 0, 0, 0, 8, 6, 0, 0, -6, 0, -24, 12, 0, 34, 0, 0, 20, 4, 0, -8, -54, 0, 76, 40, 0, 24, 18, 0, 0, -12, 0, -18, 58, 0, 24, 0, 0, -8, -8, 0, -18, -24, 0, 14, 52, 0, 68, 0, 0, 0, 8, 0, -18, 2, 0, -16, 0, 0, 56, 2, 0, 14, -40, 0, -12, 28, 0, 4, 4, 0, 0, 12, 0, -24, 8, 0, 18, 0, 0, -28, -20, 0, 36, 20, 0, 0, -12, 0, -34, 24, 0, 0, -4, 0, 64, 30, 0, 8, 0, 0, 74, 4, 0, 10, -38, 0, 0, -18, 0, 4, 8, 0, 0, 12, 0, 0, 0, 0, -24, 0, 0, -40, 32, 0, 6, -8, 0, -38, 48, 0, -72, -14, 0, 0, 56, 0, 0, 40, 0, 0, 0, 0, 0, -18, 0, 16, -24, 0, -27, -2, 0, 16, -28, 0, 0, 2, 0, 54, 9, 0, 34, 0, 0, -6, 44, 0, 72, 4, 0, -4, -24, 0, -30, 22, 0, 0, 26, 0, 12, -8, 0, -6, 0, 0, 8, 0, 0, 12, -42, 0, -8, -4, 0, 4, -40, 0, 0, 12, 0, 0, -54, 0, -6, 0, 0, 18, 68, 0, 0, -16, 0, 16, -10, 0, 24, -32, 0, 0, 0, 0, 36, 15, 0, -4, 0, 0, -40, 30, 0, -4, -64, 0, -18, 40, 0, 1, 20, 0, 0, 28, 0, 52, 24, 0, -44, 0, 0, -32, 78, 0, -28, -2, 0, 2, 0, 0, 0, -14, 0, 0, -4, 0, 16, 36, 0, 4, 0, 0, 12, 12, 0, -4, -78, 0, 8, 0, 0, 0, 56, 0, 0, -16, 0, -4, 60, 0, -8, 0, 0, 40, 2, 0, 66, 14, 0, 28, -78, 0, 72, -12, 0, 0, -12, 0, -36, -24, 0, -4, 0, 0, 60, 16, 0, 0, -16, 0, -62, 46, 0, -20, 16, 0, 0, 0, 0, 14, -60, 0, 70, 0, 0, 8, 0, 0, 4, 10, 0, 36, -24, 0, -36, -14, 0, 0, -28, 0, 0, -1, 0, -10, 0, 0, 6, 16, 0, 6, -2, 0, -16, -8, 0, 24, -64, 0, 0, -18, 0, -4, 10, 0, 0, 0, 0, 4, 8, 0, -48, -4, 0, -4, 14, 0, -4, -30, 0, 0, 24, 0, -22, 0, 0, 16, 0, 0, -24, 0, 0, 54, 44, 0, -8, -28, 0, 32, 12, 0, 0, 8, 0, -24, -72, 0, -74, 0, 0, -23, -12, 0, 8, -4, 0, -42, -2, 0, 24, 32, 0, 0, -66, 0, 0, -20, 0, 14, 0, 0, 26, -42, 0, 24, -58, 0, 24, -12, 0, 4, 0, 0, 0, 4, 0, -10, 30, 0, 80, 0, 0, 16, -16, 0, 22, 0, 0, 30, -36, 0, 6, -8, 0, 0, 0, 0, -20, -16, 0, 2, 0, 0, 36, 28, 0, 0, 24, 0, 0, -30, 0, -44, 20, 0, 0, -10, 0, -46, -32, 0, -44, 0, 0, -1, 32, 0, -28, 0, 0, -16, -8, 0, -31, 8, 0, 0, 90, 0, 24, 10, 0, 30, 0, 0, -18, -10, 0, 0, 14, 0, 0, -14, 0, 40, 0, 0, 0, 2, 0, 8, -30, 0, 8, 0, 0, 0, 0, 0, 60, 20, 0, 10, 12, 0, -20, 0, 0, 0, 20, 0, -4, -2, 0, -36, 0, 0, 24, 16, 0, -4, 12, 0, 54, 0, 0, 8, 54, 0, 0, 22, 0, 24, 8, 0, 38, 0, 0, 44, -76, 0, -32, -2, 0, -28, -16, 0, -10, -8, 0, 0, 22, 0, 0, 0, 0, -24, 0, 0, -36, 10, 0, -10, 62, 0, 32, 13, 0, 28, 32, 0, 0, 0, 0, 4, -12, 0, 0, 0, 0, -28, -24, 0, 20, -12, 0, -2, 66, 0, 8, 6, 0, 0, -20, 0, -34, 20, 0, -14, 0, 0, -68, -28, 0, 4, 80, 0, -4, 12, 0, 0, 10, 0, 0, 24, 0, 30, 0, 0, -8, 0, 0, -2, 0, 0, -40, -34, 0, 52, 0, 0, 90, 20, 0, 0, 90, 0, 48, 10, 0, -34, 0, 0, 22, 32, 0, 0, 14, 0, -64, 24, 0, 14, 36, 0, 0, -58, 0, 18, -8, 0, -16, 0, 0, 60, -40, 0, 0, -16, 0, 8, 6, 0, 120, 2, 0, 0, -8, 0, -14, 10, 0, -32, 0, 0, 4, 0, 0, -30, -64, 0, 6, 0, 0, -4, -50, 0, 0, 8, 0, 32, 48, 0, 32, 0, 0, 38, 20, 0, 72, 8, 0, 14, -60, 0, 0, -24, 0, 0, -8, 0, 60, -26, 0, 0, 0, 0, 90, -6, 0, 20, 22, 0, -24, -8, 0, -12, 16, 0, 0, -18, 0, -20, 0, 0, 8, 0, 0, -8, 56, 0, 0, 46, 0, -19, -20, 0, -16, -30, 0, 0, 0, 0, 4, -8, 0, -18, 0, 0, 32, 4, 0, -44, -14, 0, -6, -28, 0, 0, 10, 0, 0, 8, 0, 0, 12, 0, -20, 0, 0, 22, -48, 0, -76, 16, 0, -40, 24, 0, 20, 0, 0, 0, 74, 0, 88, 2, 0, 22, 0, 0, 14, -52, 0, -2, -12, 0, -6, -18, 0, 52, -16, 0, 0, 12, 0, -44, 32, 0, 4, 0, 0, 18, 36, 0, -28, -52, 0, 0, -8, 0, -40, -28, 0, 0, -56, 0, -70, 22, 0, 12, 0, 0, 0, 2, 0, 6, 0, 0, -60, -56, 0, 4, 78, 0, 0, -30, 0, -20, 32, 0, 74, 0, 0, 0, -30, 0, 8, -10, 0, 20, 16, 0, 16, 64, 0, 0, 70, 0, 16, 20, 0, -48, 0, 0, 0, -46, 0, -18, -46, 0, -32, -20, 0, 2, 30, 0, 0, 40, 0, 8, -26, 0, 24, 0, 0, 1, 36, 0, -40, 16, 0, 0, 36, 0, 72, 0, 0, 0, -12, 0, 30, 8, 0, -24, 0, 0, -76, -2, 0, -16, 68, 0, -46, -20, 0, 26, -54, 0, 0, 22, 0, 0, -60, 0, 12, 0, 0, -9, 60, 0, 52, 14, 0, -16, -24, 0, -62, 0, 0, 0, 0, 0, -32, 4, 0, 42, 0, 0, -14, -8, 0, -4, 58, 0, 20, 28, 0, 8, -88, 0, 0, 33, 0, -20, -54, 0, 24, 0, 0, -18, -120, 0, 50, -12, 0, 4, 30, 0, 0, 4, 0, 0, 56, 0, -4, 10, 0, -28, 0, 0, -64, 6, 0, 20, -8, 0, -48, 0, 0, -12, 42, 0, 0, 0, 0, -24, 0, 0, -28, 0, 0, 20, 30, 0, 80, -26, 0, 8, 16, 0, -66, 0, 0, 0, 38, 0, 44, -30, 0, 0, 0, 0, -49, 20, 0, 0, 28, 0, 0, -1, 0, -46, 68, 0, 0, -16, 0, 6, 18, 0, 6, 0, 0, 32, 0, 0, -14, -28, 0, -2, -22, 0, 0, 16, 0, 0, 52, 0, 44, 48, 0, 14, 0, 0, -60, 0, 0, 16, 88, 0, -30, -70, 0, -4, 82, 0, 0, -12, 0, 70, 8, 0, 0, 0, 0, -32, 18, 0, 0, 28, 0, -48, 24, 0, 48, 0, 0, 0, -20, 0, -28, 19, 0, 26, 0, 0, 32, -48, 0, -2, 2, 0, -40, -2, 0, 36, -40, 0, 0, 58, 0, -28, 34, 0, 80, 0, 0, 16, -4, 0, -22, 16, 0, 12, 0, 0, 16, -8, 0, 0, -48, 0, -20, -28, 0, -46, 0, 0, -56, -28, 0, 36, 0, 0, -12, 32, 0, 0, 0, 0, 0, -12, 0, -12, 0, 0, -18, 0, 0, 20, 34, 0, -10, -4, 0, 66, -76, 0, -68, 44, 0, 0, 6, 0, 4, 40, 0, -56, 0, 0, 28, 50, 0, 20, -8, 0, 0, -22, 0, -10, -8, 0, 0, 0, 0, 2, 60, 0, 48, 0, 0, -36, 40, 0, -98, 0, 0, -8, 36, 0, -56, 4, 0, 0, 52, 0, 0, -10, 0, -4, 0, 0, -92, 16, 0, 36, 44, 0, -1, -28, 0, -18, 12, 0, 0, 20, 0, -20, -64, 0, 86, 0, 0, 0, 42, 0, 24, -2, 0, -36, 10, 0, 34, 2, 0, 0, -32, 0, 16, 8, 0, 0, 0, 0, -18, -40, 0, -12, 76, 0, -4, -24, 0, 16, 16, 0, 0, -4, 0, 26, 4, 0, -48, 0, 0, 0, 36, 0, -52, -28, 0, 2, 30, 0, 10, 10, 0, 0, 40, 0, 0, 50, 0, 4, 0, 0, 24, -14, 0, -38, -32, 0, 54, -40, 0, 22, 16, 0, 0, 0, 0, -32, 48, 0, 50, 0, 0, 8, 22, 0, -24, 0, 0, -60, 40, 0, -60, 76, 0, 0, -42, 0, -24, -36, 0, -12, 0, 0, 8, -2, 0, -32, 48, 0, 0, -6, 0, 0, 0, 0, 0, -44, 0, 16, 28, 0, 8, 0, 0, 24, -24, 0, 62, 44, 0, 4, 0, 0, -8, -30, 0, 0, 13, 0, -46, 8, 0, -20, 0, 0, 76, 34, 0, 4, -20, 0, 16, -62, 0, -8, 0, 0, 0, 1, 0, -14, 36, 0, -36, 0, 0, 18, -106, 0, 0, 6, 0, -56, -88, 0, 82, 26, 0, 0, 34, 0, -14, 8, 0, -6, 0, 0, 62, 0, 0, 10, 4, 0, -56, 14, 0, -36, 80, 0, 0, -46, 0, 0, 24, 0, -16, 0, 0, 24, 72, 0, -86, -16, 0, -2, -26, 0, 4, 8, 0, 0, 8, 0, -60, 0, 0, 0, 0, 0, -80, 14, 0, -66, 0, 0, -36, 10, 0, -20, -4, 0, 0, -22, 0, 8, 0, 0, 0, 0, 0, -48, 28, 0, 40, 4, 0, 28, 36, 0, -10, -16, 0, 0, -36, 0, 64, 36, 0, -40, 0, 0, -70, -26, 0, 6, -48, 0, -40, 16, 0, 8, -60, 0, 0, 32, 0, 2, -18, 0, -76, 0, 0, -28, 0, 0, -32, 6, 0, 0, -12, 0, -32, 0, 0, 0, -36, 0, 12, 12, 0, 12, 0, 0, -4, -12, 0, 0, 36, 0, -30, -59, 0, -25, 52, 0, 0, -6, 0, 44, -28, 0, -22, 0, 0, 12, 8, 0, -56, -18, 0, 0, 40, 0, 28, -58, 0, 0, -46, 0, 60, 2, 0, -66, 0, 0, -32, 12, 0, -2, 0, 0, 80, 0, 0, 0, 32, 0, 0, -8, 0, -6, 66, 0, 56, 0, 0, 6, -64, 0, -20, 24, 0, -12, 10, 0, 0, -34, 0, 0, -24, 0, -34, -20, 0, -4, 0, 0, 0, 8, 0, 54, -30, 0, 8, -76, 0, -40, 78, 0, 0, -24, 0, -18, -56, 0, -106, 0, 0, 12, -18, 0, -76, 18, 0, -58, 108, 0, -90, -24, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 85, 18, 0, 24, 40, 0, 22, -14, 0, -52, 108, 0, 0, -68, 0, 0, 20, 0, 68, 0, 0, -8, 72, 0, -60, 18, 0, -2, 2, 0, -8, 16, 0, 0, 0, 0, -102, -56, 0, -2, 0, 0, 16, -14, 0, 40, -32, 0, -6, 12, 0, -28, 46, 0, 0, -4, 0, -4, 44, 0, 26, 0, 0, -12, -4, 0, -76, 24, 0, -8, 24, 0, 0, -18, 0, 0, 82, 0, -16, 28, 0, 20, 0, 0, 0, -36, 0, -20, -32, 0, 36, 0, 0, 12, 2, 0, 0, 34, 0, -24, -94, 0, -96, 0, 0, 4, -24, 0, -28, -64, 0, -30, -66, 0, 56, -8, 0, 0, -24, 0, -20, -74, 0, -4, 0, 0, -32, -10, 0, 38, 0, 0, 30, 0, 0, 18, -30, 0, 0, -4, 0, -8, 96, 0, -24, 0, 0, -12, 0, 0, 92, 0, 0, 0, -56, 0, 22, 24, 0, 0, -20, 0, 88, 40, 0, -32, 0, 0, 140, -6, 0, 8, -20, 0, -16, 38, 0, -48, -48, 0, 0, 72, 0, 14, -92, 0, 0, 0, 0, -56, 72, 0, 26, 0, 0, -40, 42, 0, -32, 0, 0, 0, 16, 0, -24, 0, 0, 18, 0, 0, 4, -16, 0, 24, 40, 0, -62, 27, 0, 2, -54, 0, 0, -16, 0, 28, 22, 0, 114, 0, 0, -2, -32, 0, 80, -54, 0, -9, -48, 0, -57, -34, 0, 0, -10, 0, 36, 6, 0, -44, 0, 0, -2, -72, 0, -4, 20, 0, 92, 4, 0, 24, 0, 0, 0, 30, 0, -22, 0, 0, -4, 0, 0, -26, -16, 0, -26, -12, 0, 8, 102, 0, -16, 6, 0, 0, 72, 0, 10, -8, 0, 0, 0, 0, -8, -12, 0, 42, 24, 0, 0, 8, 0, 4, -36, 0, 0, -4, 0, 40, 40, 0, -2, 0, 0, -12, -74, 0, 0, 0, 0, 54, 4, 0, -4, 6, 0, 0, 28, 0, 8, -18, 0, -68, 0, 0, -12, 0, 0, 16, -86, 0, 88, -16, 0, 10, -56, 0, 0, -24, 0, 32, -42, 0, -48, 0, 0, 0, -26, 0, 0, -36, 0, -15, 52, 0, 32, 4, 0, 0, -52, 0, -2, 40, 0, -30, 0, 0, 0, 4, 0, 64, 48, 0, 20, 18, 0, -40, -12, 0, 0, -1, 0, -20, 48, 0, -98, 0, 0, -28, 42, 0, 6, -52, 0, -24, 0, 0, -22, 44, 0, 0, -28, 0, 0, 32, 0, -78, 0, 0, -32, 28, 0, 2, 16, 0, 28, -2, 0, 0, -112, 0, 0, 0, 0, 14, -54, 0, 100, 0, 0, 4, -32, 0, 18, -16, 0, -36, -2, 0, 44, -4, 0, 0, -64, 0, -32, -12, 0, -12, 0, 0, -64, 4, 0, 78, -84, 0, -32, -8, 0, 0, -144, 0, 0, 0, 0, -56, -24, 0, -12, 0, 0, 16, 8, 0, -96, 4, 0, -60, 19, 0, -20, 8, 0, 0, -140, 0, 0, -40, 0, -2, 0, 0, 68, -66, 0, -14, 30, 0, -16, -28, 0, 78, -16, 0, 0, -72, 0, 12, -74, 0, 64, 0, 0, 12, -84, 0, 0, 36, 0, 24, 18, 0, 12, 4, 0, 0, 20, 0, 66, -60, 0, -16, 0, 0, 20, 0, 0, 16, 0, 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": "462.2.a.g", "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], [2], [0], [0], [1], [-2], [0], [0], [2], [0], [1], [0], [0], [-1], [-2], [0], [0], [2], [0], [-4], [-1], [0], [2], [0], [0], [-2], [0], [0], [-2], [-10], [0], [4], [-1], [0], [0], [4], [0], [0], [1], [0], [2], [2], [0], [-2], [0], [0], [-2], [-12], [0], [2], [4], [0], [1], [4], [0], [12], [-2], [0], [0], [-8], [0], [-6], [2], [0], [0], [0], [0], [-8], [2], [0], [10], [-8], [0], [-4], [-4], [0], [1], [-14], [0], [0], [0], [0], [-4], [0], [0], [14], [0], [0], [-1]]}