# Stored data for newform 9702.2.a.bm, downloaded from the LMFDB on 26 April 2024.
{"label": "9702.2.a.bm", "space_label": "9702.2.a", "level": 9702, "weight": 2, "hecke_orbit": 39, "hecke_orbit_code": 171136785873642982, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1915335676483339650, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [0, 1]], [13, [2, 1]], [17, [-6, 1]], [19, [2, 1]], [23, [0, 1]], [29, [6, 1]]], "qexp_display": "q+q^{2}+q^{4}+q^{8}-q^{11}-2q^{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": "0.027", "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": "0.967", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.854", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.383", "prec": 17}], "related_objects": ["EllipticCurve/Q/9702/bm"], "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, -2, 0, 0, 1, 6, 0, -2, 0, 0, -1, 0, 0, -5, -2, 0, 0, -6, 0, 4, 1, 0, 6, 0, 0, 2, -2, 0, 0, -6, 0, -10, -1, 0, 0, -12, 0, 0, -5, 0, -2, -12, 0, 0, 0, 0, -6, -12, 0, 10, 4, 0, 1, 0, 0, 8, 6, 0, 0, 12, 0, -14, 2, 0, -2, 0, 0, 2, 0, 0, -6, 12, 0, 0, -10, 0, -1, 0, 0, 0, 0, 0, -12, 0, 0, -2, 0, 0, -5, 6, 0, -8, -2, 0, -12, 12, 0, 2, 0, 0, 0, 12, 0, 0, -6, 0, -12, 0, 0, 1, 10, 0, 4, 0, 0, 2, 1, 0, 0, -12, 0, 0, 8, 0, 6, 12, 0, -2, 0, 0, 12, 2, 0, 0, -14, 0, 2, -18, 0, -22, -2, 0, 0, 0, 0, -14, 2, 0, 0, 0, 0, -4, -6, 0, 12, 0, 0, -9, 0, 0, -10, 6, 0, 0, -1, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, -6, -12, 0, 0, -12, 0, -22, -2, 0, 0, -6, 0, -20, -5, 0, 6, 0, 0, 0, -8, 0, -2, 2, 0, -22, -12, 0, 12, 0, 0, 0, 2, 0, 0, -12, 0, -8, 0, 0, 12, 12, 0, -14, 0, 0, -6, 6, 0, 0, -12, 0, 0, 0, 0, -14, 1, 0, 10, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 0, 1, -24, 0, 0, 0, 0, -12, -24, 0, 0, 0, 0, 8, 12, 0, 10, 6, 0, 12, 5, 0, 26, -2, 0, 0, 30, 0, -14, 12, 0, 2, 0, 0, 19, 0, 0, -14, -6, 0, 0, 2, 0, -18, 0, 0, 0, -22, 0, -2, 0, 0, -2, 0, 0, 0, 24, 0, -14, -14, 0, 2, 24, 0, 6, 0, 0, 0, -12, 0, 10, -4, 0, -6, 0, 0, 20, 12, 0, 0, 0, 0, 14, -9, 0, 0, -4, 0, 0, -10, 0, 6, 12, 0, 10, 0, 0, -1, -24, 0, 0, 0, 0, 0, 0, 0, -15, 22, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -10, -6, 0, -12, 12, 0, -28, 0, 0, -12, -24, 0, 0, -22, 0, -2, -24, 0, 0, 0, 0, -6, 0, 0, -2, -20, 0, -5, -12, 0, -8, 6, 0, 0, -2, 0, -14, 0, 0, -8, 0, 0, 0, -2, 0, 2, 24, 0, -22, -22, 0, -12, -30, 0, 0, 12, 0, 0, 0, 0, 34, 0, 0, 2, 0, 0, 10, 0, 0, -12, -12, 0, 0, -8, 0, 0, 24, 0, 6, 12, 0, 12, 0, 0, -10, -14, 0, 0, 18, 0, -16, -6, 0, 6, 12, 0, 0, 0, 0, -12, 10, 0, 10, 0, 0, 0, -24, 0, -4, -14, 0, 1, 0, 0, -28, 10, 0, 0, 36, 0, -36, 4, 0, 4, 0, 0, 32, 0, 0, 0, 24, 0, 0, 0, 0, 2, 36, 0, 0, 1, 0, -24, 0, 0, 12, 0, 0, 0, 36, 0, -38, -12, 0, -24, 24, 0, -23, 0, 0, 0, 12, 0, 0, 8, 0, 12, 0, 0, 26, 10, 0, 6, 0, 0, 14, 12, 0, 5, 12, 0, 0, 26, 0, -2, -18, 0, 20, 0, 0, 30, 12, 0, 0, -14, 0, 12, -6, 0, -10, 2, 0, 0, 0, 0, -2, 19, 0, 0, 0, 0, 12, -14, 0, -6, 12, 0, -8, 0, 0, 2, 18, 0, 0, -18, 0, 0, -48, 0, -26, 0, 0, -22, 0, 0, -2, -2, 0, 0, 24, 0, 14, -2, 0, 0, -12, 0, 4, 0, 0, 24, 0, 0, 25, -14, 0, -14, 12, 0, 44, 2, 0, 24, 0, 0, 0, 6, 0, 0, 0, 0, 4, 0, 0, -12, -24, 0, 12, 10, 0, -4, 12, 0, 0, -6, 0, 0, -36, 0, 10, 20, 0, 12, 0, 0, 0, 0, 0, 0, -10, 0, 2, 14, 0, -9, -18, 0, 0, 0, 0, -4, 24, 0, 0, 0, 0, -10, 24, 0, 28, 6, 0, 12, 0, 0, -36, 10, 0, 0, -18, 0, -4, -1, 0, -24, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, -15, 0, 22, 30, 0, 28, 0, 0, 0, -60, 0, 22, -32, 0, 0, -8, 0, -34, 0, 0, 0, -24, 0, 0, -10, 0, -6, 0, 0, -28, -12, 0, 12, 0, 0, -22, -28, 0, 0, 30, 0, 0, -12, 0, -24, 24, 0, -26, 0, 0, -22, -12, 0, -20, -2, 0, -24, 12, 0, -12, 0, 0, 0, 0, 0, -38, -6, 0, 0, 0, 0, -20, -2, 0, -20, 48, 0, -72, -5, 0, -12, 14, 0, 0, -8, 0, 6, -30, 0, -2, 0, 0, -2, 0, 0, 20, -14, 0, 0, 18, 0, 32, -8, 0, 0, 36, 0, 34, 0, 0, -2, 0, 0, 0, 2, 0, 24, -24, 0, 7, -22, 0, -22, 0, 0, 0, -12, 0, -30, 0, 0, 34, 0, 0, 12, 30, 0, 4, 0, 0, 0, 24, 0, 0, 34, 0, 0, -2, 0, -16, 2, 0, 0, 0, 0, 14, 10, 0, 0, 36, 0, 32, -12, 0, -12, 24, 0, 0, 0, 0, -8, 24, 0, 0, 0, 0, 24, -24, 0, -72, 6, 0, 12, 0, 0, -28, 12, 0, 0, -36, 0, -12, -10, 0, -14, 0, 0, 38, 0, 0, 18, -24, 0, -10, -16, 0, -6, -12, 0, 0, 6, 0, 12, 0, 0, -50, 0, 0, 0, 54, 0, 0, -12, 0, 10, 48, 0, 28, 10, 0, 0, -6, 0, 0, 0, 0, -24, 0, 0, -15, -4, 0, -14, 0, 0, -22, 1, 0, 0, -60, 0, 0, -28, 0, 10, -12, 0, 0, 0, 0, 36, 24, 0, 0, -36, 0, 4, 0, 0, 44, 4, 0, 0, 0, 0, 10, 32, 0, 0, 0, 0, -72, 0, 0, 24, 24, 0, -10, 0, 0, 0, 36, 0, 0, 2, 0, 36, -36, 0, -50, 0, 0, 1, 30, 0, -4, -24, 0, 0, 48, 0, 14, 12, 0, 0, 60, 0, -56, 0, 0, 36, 0, 0, 0, -38, 0, -12, -36, 0, 62, -24, 0, 24, 0, 0, 0, -23, 0, 0, 60, 0, 46, 0, 0, 12, 2, 0, 10, 0, 0, 8, -12, 0, 50, 12, 0, 0, -24, 0, 0, 26, 0, 10, 0, 0, -28, 6, 0, 0, 36, 0, -22, 14, 0, 12, 30, 0, 0, 5, 0, 12, -12, 0, 0, 0, 0, 26, 12, 0, -6, -2, 0, -18, 0, 0, 2, 20, 0, 0, 24, 0, 28, 30, 0, 12, 0, 0, -34, 0, 0, -14, 8, 0, 0, 12, 0, -6, 48, 0, 0, -10, 0, 2, 0, 0, 8, 0, 0, 0, -48, 0, -14, -2, 0, 19, 0, 0, -20, 0, 0, 0, -12, 0, 0, 12, 0, -14, 0, 0, -16, -6, 0, 12, 60, 0, -12, -8, 0, 0, 0, 0, 0, 2, 0, 18, -36, 0, 36, 0, 0, -18, 0, 0, 0, 0, 0, -48, -2, 0, 2, -26, 0, 0, 0, 0, 72, -22, 0, 0, 0, 0, 2, -2, 0, -2, 54, 0, 0, 0, 0, 24, 48, 0, 0, 14, 0, -2, 54, 0, -26, 0, 0, -12, 0, 0, 22, 4, 0, 0, -84, 0, -12, 24, 0, 0, 60, 0, 34, 25, 0, -14, 0, 0, 0, -14, 0, 12, 0, 0, 4, 44, 0, 2, 0, 0, 0, 24, 0, 0, -24, 0, -16, 0, 0, 6, -48, 0, 16, 0, 0, 0, -36, 0, 0, 4, 0, 0, -6, 0, -8, -12, 0, -24, 0, 0, 2, 12, 0, 10, -12, 0, 44, -4, 0, 12, -36, 0, 0, 0, 0, -6, -12, 0, 0, 0, 0, -36, -24, 0, -14, 10, 0, 20, 60, 0, 14, 12, 0, 0, -1, 0, -40, 0, 0, 0, 0, 0, 16, 0, 0, -10, 12, 0, 0, 2, 0, 14, -24, 0, 0, -9, 0, -18, 0, 0, 0, 0, 0, 0, -6, 0, 72, -4, 0, 24, -12, 0, -33, 0, 0, 0, 36, 0, 0, -10, 0, 24, 0, 0, 26, 28, 0, 6, 0, 0, 28, 12, 0, 0, -24, 0, 0, -36, 0, 10, -2, 0, -50, 0, 0, -18, 0, 0, 0, -4, 0, -1, 36, 0, 72, -24, 0, 0, 0, 0, -4, 14, 0, 0, 0, 0, 56, 0, 0, 0, 12, 0, 14, 0, 0, 0, -36, 0, 0, 0, 0, -36, 24, 0, 12, 0, 0, -15, 0, 0, -14, 22, 0, 30, 12, 0, -34, 28, 0, 0, -48, 0, -2, 0, 0, -60, 0, 0, 0, 22, 0, -32, -24, 0, -22, 0, 0, -8, 60, 0, 0, -34, 0, 0, 42, 0, -56, 0, 0, -24, -24, 0, -14, 0, 0, -10, 54, 0, 0, -6, 0, 0, 24, 0, -4, -28, 0, -12, 0, 0, -12, 12, 0, 0, 24, 0, 0, -22, 0, -28, -12, 0, 0, 0, 0, 30, -36, 0, -50, 0, 0, -12, 2, 0, 10, -24, 0, 24, 0, 0, 72, -26, 0, 0, 0, 0, 76, -22, 0, -12, 0, 0, -34, -20, 0, -2, -54, 0, 0, -24, 0, 12, 72, 0, 0, -12, 0, 0, 0, 0, -44, 0, 0, 0, 24, 0, -2, -38, 0, -6, -24, 0, 14, 0, 0, 0, -24, 0, 0, -20, 0, -2, 0, 0, -20, -20, 0, 48, 0, 0, -22, -72, 0, -5, -6, 0, 0, -12, 0, 14, 12, 0, -2, 0, 0, -8, 18, 0, 0, 6, 0, -30, 36, 0, -10, -2, 0, 0, 0, 0, 46, -2, 0, 0, 0, 0, 0, 20, 0, -14, -72, 0, 18, 0, 0, 18, -48, 0, 0, 32, 0, -8, -12, 0, -4, 0, 0, 36, 0, 0, -2, 34, 0, 0, 22, 0, 14, -2, 0, 0, 12, 0, 46, 0, 0, 2, 0, 0, -40, 24, 0, -24, 0, 0, -5, 7, 0, -22, 0, 0, 0, -22, 0, 0, 0, 0, 34, 0, 0, -12, 72, 0, 64, -30, 0, 0, 24, 0, 0, 34, 0, 0, 36, 0, 72, 12, 0, 30, 0, 0, 36, 4, 0, 0, -12, 0, 50, 0, 0, 24, 14, 0, 0, 0, 0, 34, 66, 0, 0, 0, 0, -2, -24, 0, -2, -16, 0, 2, 0, 0, -52, 0, 0, 0, -48, 0, 10, 14, 0, 10, 0, 0, -34, 0, 0, 36, 60, 0, 0, 32, 0, -12, -60, 0, 0, -12, 0, 24, -60, 0, 58, 0, 0, 0, -24, 0, 4, -8, 0, 24, -48, 0, 62, 0, 0, 0, 4, 0, 0, 24, 0, -24, 0, 0, -70, -72, 0, 6, 0, 0, 4, 12, 0, 0, -84, 0, 0, -28, 0, 12, 0, 0, 72, 0, 0, -36, 0, 0, 70, -12, 0, -10, -48, 0, -4, -14, 0, 0, 0, 0, 0, 38, 0, 0, 0, 0, 4, 18, 0, -24, 72, 0, 57, -10, 0, -16, 12, 0, 0, -6, 0, -12, 9, 0, -14, 0, 0, 6, 0, 0, -62, 12, 0, 0, 48, 0, 2, -50, 0, 0, -6, 0, -20, 0, 0, 54, 0, 0, 0, 0, 0, -12, 42, 0, 40, 10, 0, 48, 0, 0, 0, 28, 0, 10, -72, 0, -6, 0, 0, -6, 12, 0, 0, 0, 0, 0, 6, 0, 0, -24, 0, 0, -12, 0, 72, -15, 0, -4, 0, 0, 72, -14, 0, 0, -36, 0, 62, -22, 0, 1, 36, 0, 0, 0, 0, -60, -48, 0, 0, 0, 0, -28, 18, 0, -20, 10, 0, -12, 0, 0, 16, 0, 0, 0, -24, 0, 44, 36, 0, 24, 0, 0, 0, 0, 0, -36, -12, 0, -10, 4, 0, 0, -12, 0, 0, 44, 0, 4, 0, 0, -74, 0, 0, 0, -22, 0, 22, 10, 0, 32, 6, 0, -70, 0, 0, 0, -36, 0, 0, -72, 0, 0, 0, 0, -16, 24, 0, 24, 0, 0, 74, -10, 0, 0, 120, 0, 0, 0, 0, 36, -72, 0, -50, 0, 0, 2, -24, 0, 0, 36, 0, -36, -48, 0, 28, -50, 0, 0, 0, 0, 0, 1, 0, 30, 0, 0, -34, -4, 0, -24, 6, 0, -72, 0, 0, 48, -72, 0, 0, 14, 0, 12, 24, 0, -4, 0, 0, 60, -60, 0, 32, -56, 0, 0, -66, 0, -16, 36, 0, 0, -24, 0, -38, 0, 0, -38, 0, 0, 0, -12, 0, -36, -36, 0, 12, 62, 0, -24, 0, 0, 0, 24, 0, 0, 24, 0, -62, 0, 0, -23, 84, 0, 8, 0, 0, 60, 22, 0, 0, 46, 0, 0, 66, 0, -2, 12, 0, 2, 0, 0, 26, 10, 0, 0, -78, 0, 20, 8, 0, -12, -24, 0, 0, 50, 0, 12, 6, 0, 0, 0, 0, -24, 12, 0, -14, 0, 0, 26, 0, 0, 6, 10, 0, 0, 0, 0, 72, -28, 0, 6, 0, 0, 56, 0, 0, 36, -24, 0, 0, -22, 0, 14, 20, 0, 0, 12, 0, 30, 0, 0, 44, 0, 0, 5, 48, 0, -80, 12, 0, -12, -24, 0, 97, 0, 0, 0, 42, 0, 0, 26, 0, 12, 0, 0, -70, -6, 0, -2, 0, 0, -72, -18, 0, 0, 0, 0, 0, 2, 0, 20, -48, 0, 70, 0, 0, 24, -84, 0, 0, 28, 0, 30, -12, 0, 38, 12, 0, 0, 0, 0, 20, -34, 0, 0, 0, 0, -56, -14, 0, 8, -12, 0, 50, 0, 0, 12, -78, 0, 0, -6, 0, 48, 120, 0, 58, 0, 0, -10, 0, 0, -2, 2, 0, 0, -12, 0, -22, 8, 0, 0, 48, 0, -2, 0, 0, -48, 0, 0, 0, -14, 0, -2, 66, 0, -16, 19, 0, 0, 0, 0, 0, -20, 0, 0, 22, 0, 0, 0, 0, -12, 0, 0, 72, 0, 0, 12, -36, 0, 0, -14, 0, 0, -12, 0, 70, -16, 0, -6, 0, 0, -28, 12, 0, 60, -24, 0, -44, -12, 0, -8, -12, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 2, 0, 0, 70, 18, 0, -36, 0, 0, 38, 36, 0, 0, 36, 0, 46, -18, 0, 0, 0, 0, -82, 0, 0, 0, -18, 0, 0, -48, 0, -2, -36, 0, 0, 2, 0, -26, 0, 0, -72, 0, 0, 0, 12, 0, -4, 72, 0, -22, -6, 0, 72, 0, 0, 0, -12, 0, 10, 2, 0, -2, 0, 0, 12, -2, 0, 54, 0, 0, 62, 0, 0, 0, -6, 0, 0, 24, 0, 48, -48, 0, 8, 0, 0, 14, 8, 0, 0, -2, 0, 54, 12, 0, 0, -26, 0, 0, 0, 0, 16, -12, 0, 0, 0, 0, -22, 22, 0, 4, 18, 0, 16, 0, 0, -84, 24, 0, 0, -12, 0, 24, 24, 0, 144, 0, 0, 60, 0, 0, -12, 34, 0, 25, -60, 0, -46, -14, 0, 0, 0, 0, 44, 0, 0, -14, 0, 0, 0, 12, 0, 0, 14, 0, 2, 4, 0, 44, -30, 0, 0, 2, 0, 0, 12, 0, -108, 0, 0, 24, 120, 0, -20, 0, 0, -24, 0, 0, 0, -16, 0, 0, -30, 0, 34, 6, 0, -48, 0, 0, 50, 16, 0, 0, 12, 0, -6, 0, 0, -36, -132, 0, 0, 0, 0, 4, 48, 0, 40, 0, 0, -6, -24, 0, 0, -8, 0, -12, 0, 0, 40, -24, 0, 0, 0, 0, 22, 2, 0, 12, 0, 0, 0, 10, 0, -12, -24, 0, 0, 44, 0, -4, 6, 0, 0, 12, 0, -36, 0, 0, 10, 0, 0, 0, 72, 0, -100, -6, 0, -12, 24, 0, 0, 0, 0, 0, 72, 0, 0, -36, 0, -24, 0, 0, 4, -14, 0, 10, 0, 0, 50, 20, 0, 60, 14, 0, 0, 14, 0, 12, -54, 0, -86, 0, 0, -1, -36, 0, 0, -40, 0, 0, -84, 0, 44, 0, 0, 0, -60, 0, -38, 16, 0, 0, 0, 0, 62, -10, 0, 12, -84, 0, -46, 0, 0, 2, -12, 0, 0, 14, 0, -24, 0, 0, -28, 0, 0, -9, 0, 0, -80, -18, 0, 0, 24, 0, -34, 0, 0, 0, -4, 0, -74, 0, 0, -6, 0, 0, -10, 72, 0, -4, -48, 0, -4, 24, 0, -12, 0, 0, 0, -33, 0, 0, -30, 0, 44, 0, 0, 36, -48, 0, -14, 0, 0, -10, 12, 0, 0, 24, 0, 0, 0, 0, 0, 26, 0, 28, 0, 0, -94, 6, 0, 0, -24, 0, 144, 28, 0, 12, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -36, 42, 0, 70, 10, 0, -2, 0, 0, -82, -50, 0, 0, 78, 0, 16, -18, 0, 0, 0, 0, 91, 0, 0, -4, 12, 0, 0, -1, 0, 36, -72, 0, 0, 72, 0, -24, -60, 0, 24, 0, 0, 0, 36, 0, -26, -4, 0, 14, -18, 0, 0, 0, 0, 0, -24, 0, 0, 56, 0, 0, 0, 0, -34, 0, 0, 12, 0, 0, 38, 14, 0, 0, 96, 0, 0, 0, 0, -36, -120, 0, 44, 0, 0, 0, -54, 0, 0, -36, 0, 24, 24, 0, -80, 12, 0, 0, 0, 0, -80, -15, 0, 0, 0, 0, 24, -14, 0, 22, -48, 0, 16, 30, 0, 12, 96, 0, 0, -34, 0, 28, -12, 0, -72, 0, 0, -48, 0, 0, -38, -2, 0, 0, 0, 0, 4, -60, 0, 0, -84, 0, -36, 0, 0, 22, 0, 0, 0, -32, 0, -24, 12, 0, 36, -22, 0, 0, 0, 0, 0, -8, 0, 60, -24, 0, 70, 0, 0, -34, 84, 0, -12, 0, 0, 42, 24, 0, 0, -56, 0, 0, 30, 0, 52, -24, 0, -24, 0, 0, 28, -14, 0, 0, -10, 0, 28, -10, 0, 54, 48, 0, 0, 0, 0, -6, 84, 0, 0, 0, 0, 24, 0, 0, 94, -4, 0, -28, 0, 0, -8, -12, 0, 0, -84, 0, 0, -12, 0, 12, 0, 0, -16, 0, 0, 24, 60, 0, -5, 0, 0, -22, -12, 0, 0, -28, 0, -12, 0, 0, 34, 0, 0, 0, -60, 0, 0, 30, 0, -36, -26, 0, 14, -50, 0, 0, -120, 0, 0, -12, 0, 2, 0, 0, -70, 10, 0, -24, 0, 0, -4, 24, 0, 0, 24, 0, 0, 72, 0, -26, 132, 0, -50, 0, 0, 0, -36, 0, 0, 76, 0, -22, -60, 0, -30, -12, 0, 0, 0, 0, 8, -34, 0, -20, 0, 0, -72, -2, 0, -54, 0, 0, -82, 0, 0, -24, 14, 0, 0, 12, 0, 72, -48, 0, -110, 0, 0, -12, 0, 0, 144, 0, 0, 0, 24, 0, 28, -44, 0, 0, 54, 0, 140, 0, 0, 24, 0, 0, 0, -2, 0, -38, -96, 0, 0, -6, 0, -24, 0, 0, 0, 14, 0, 0, -12, 0, -50, 0, 0, -24, -48, 0, 34, 0, 0, -20, 0, 0, -10, -2, 0, 0, -19, 0, 22, -20, 0, -20, 0, 0, 74, 48, 0, 0, 72, 0, -32, -22, 0, -72, 0, 0, 0, -5, 0, -6, 12, 0, 0, 0, 0, -12, -66, 0, 18, 14, 0, 12, 0, 0, 74, -2, 0, 0, -24, 0, 6, -8, 0, 18, 0, 0, 26, 0, 0, 6, -120, 0, 0, -30, 0, 36, -12, 0, 0, -10, 0, -2, 0, 0, -72, 0, 0, 0, -12, 0, 70, 46, 0, -2, 60, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 32, -14, 0, -72, 60, 0, -72, 18, 0, 0, -132, 0, 0, 18, 0, -48, -12, 0, 0, 0, 0, 32, 0, 0, 0, -8, 0, -12, -84, 0, -58, -4, 0, 0, 0, 0, -98, 36, 0, 0, 0, 0, -58, -2, 0, 34, 48, 0, -10, 0, 0, 22, 48, 0, 0, 14, 0, -2, 54, 0, -20, 0, 0, 12, 0, 0, -144, 46, 0, 0, 48, 0, 14, 2, 0, 0, 60, 0, -36, -40, 0, 24, 0, 0, 0, -24, 0, 0, -72, 0, 38, -5, 0, 7, 0, 0, 0, -22, 0, 0, 84, 0, -26, 0, 0, -22, 2, 0, 8, 0, 0, 0, -120, 0, 0, 34, 0, 0, -36, 0, -8, -12, 0, 72, 0, 0, -20, 64, 0, -30, 0, 0, -72, 0, 0, 24, 96, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, 36, 48, 0, -24, 72, 0, 12, -60, 0, 0, 30, 0, 0, 168, 0, -50, 36, 0, 4, 0, 0, -44, 0, 0, -12, 14, 0, 0, 50, 0, 0, 6, 0, 0, 24, 0, 14, 0, 0, 70, 0, 0, 0, 42, 0, -80, 34, 0, 66, 60, 0, 50, 0, 0, 0, 0, 0, 10, -2, 0, -24, 0, 0, 85, -2, 0, -16, 0, 0, -24, 2, 0, 0, -48, 0, 0, -52, 0, 0, -24, 0, -68, 0, 0, -48, 48, 0, 0, 10, 0, 14, -6, 0, 74, 10, 0, 0, 0, 0, -38, -34, 0, 0, 0, 0, -20, 36, 0, 60, -24, 0, -58, 0, 0, 32, 102, 0, 0, -12, 0, -60, 108, 0, -86, 0, 0, -12, 0, 0, 40, 24, 0, -60, -96, 0, 12, 58, 0, 0, 96, 0, 22, 0, 0, -24, 0, 0, 0, 4, 0, -8, -120, 0, 50, 24, 0, -48, -10, 0, 0, 62, 0, 0, 78, 0, 70, 0, 0, 4, -132, 0, -4, 0, 0, 24, -30, 0, 0, -24, 0, 0, -120, 0, -52, -70, 0, -72, 0, 0, 26, 6, 0, 0, 0, 0, -34, 4, 0, 12, -24, 0, 0, 0, 0, -84, -36, 0, 0, 0, 0, -28, 24, 0, 40, 12, 0, 0, 0, 0, 2, 72, 0, 0, -20, 0, -50, -36, 0, 0, 0, 0, 0, 70, 0, -12, -60, 0, 0, -10, 0, -48, 60, 0, 0, -4, 0, -14, 0, 0, 44, 0, 0, 0, -96, 0, -98, 0, 0, 38, -24, 0, 28, 0, 0, 0, -12, 0, 0, 4, 0, 18, 0, 0, 50, -24, 0, 72, 0, 0, -106, 57, 0, -10, 24, 0, 0, -16, 0, 12, -14, 0, 106, 0, 0, -6, -24, 0, 0, -12, 0, 9, 60, 0, 39, -14, 0, 0, 90, 0, -8, 6, 0, 0, 0, 0, 62, -62, 0, 12, 12, 0, -22, 0, 0, 48, 12, 0, 0, 2, 0, -50, 0, 0, 4, 0, 0, -6, 0, 0, -38, -20, 0, 0, 30, 0, -144, 54, 0, 0, -48, 0, 70, 0, 0, 0, 0, 0, 110, -12, 0, 42, -12, 0, 40, 40, 0, 10, 0, 0, 0, 48, 0, 0, -48, 0, 34, 0, 0, 28, -90, 0, 72, 10, 0, -72, 36, 0, 0, -6, 0, 0, 12, 0, -16, -6, 0, 12, 0, 0, -12, 0, 0, 0, 24, 0, 62, 0, 0, 6, 0, 0, 0, 0, 0, -24, -24, 0, 0, 0, 0, -12, -10, 0, 0, 72, 0, -15, 0, 0, -22, -4, 0, 0, -96, 0, 46, 72, 0, -14, 0, 0, 72, 0, 0, -36, 24, 0, 0, 62, 0, -22, 168, 0, 0, 1, 0, 36, 0, 0, -2, 0, 0, 0, -24, 0, 24, -60, 0, -48, 0, 0, 2, 0, 0, 0, -84, 0, 0, -28, 0, 18, 0, 0, -144, -20, 0, 10, 0, 0, -82, -12, 0, 0, -96, 0, 0, 16, 0, 0, 12, 0, 4, 0, 0, -24, 12, 0, 70, 44, 0, 36, 102, 0, -88, 24, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 56, -36, 0, -12, -36, 0, 0, -10, 0, 4, -96, 0, 0, 0, 0, -12, 24, 0, 36, 0, 0, 44, 0, 0, 70, 4, 0, 0, 15, 0, -72, -74, 0, 0, 12, 0, 0, 0, 0, -22, 0, 0, 0, 22, 0, 10, 66, 0, 4, 32, 0, 6, 0, 0, 0, -70, 0, 0, 6, 0, -98, 0, 0, -36, -48, 0, 44, 0, 0, -72, -24, 0, 0, 0, 0, 0, -84, 0, -50, -16, 0, 24, 0, 0, -112, 24, 0, 0, 12, 0, 4], "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": "198.2.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], [0], [0], [0], [1], [0], [0], [-1], [0], [-2], [0], [0], [1], [6], [0], [-2], [0], [0], [-1], [0], [0], [-5], [-2], [0], [0], [-6], [0], [4], [1], [0], [6], [0], [0], [2], [-2], [0], [0], [-6], [0], [-10], [-1], [0], [0], [-12], [0], [0], [-5], [0], [-2], [-12], [0], [0], [0], [0], [-6], [-12], [0], [10], [4], [0], [1], [0], [0], [8], [6], [0], [0], [12], [0], [-14], [2], [0], [-2], [0], [0], [2], [0], [0], [-6], [12], [0], [0], [-10], [0], [-1], [0], [0], [0], [0], [0], [-12], [0], [0], [-2], [0], [0], [-5]]}