# Stored data for newform 9702.2.a.bo, downloaded from the LMFDB on 23 April 2024.
{"label": "9702.2.a.bo", "space_label": "9702.2.a", "level": 9702, "weight": 2, "hecke_orbit": 41, "hecke_orbit_code": 180143985128383974, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 431722268511942004, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [0, 1]], [13, [-4, 1]], [17, [-4, 1]], [19, [0, 1]], [23, [0, 1]], [29, [2, 1]]], "qexp_display": "q+q^{2}+q^{4}+q^{8}-q^{11}+4q^{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": "0.022", "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": "0.006", "prec": 17}, {"__RealLiteral__": 0, "data": "1.009", "prec": 17}, {"__RealLiteral__": 0, "data": "0.028", "prec": 17}, {"__RealLiteral__": 0, "data": "2.027", "prec": 17}, {"__RealLiteral__": 0, "data": "0.083", "prec": 17}, {"__RealLiteral__": 0, "data": "5.078", "prec": 17}], "related_objects": ["EllipticCurve/Q/9702/bo"], "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, 4, 0, 0, 1, 4, 0, 0, 0, 0, -1, 0, 0, -5, 4, 0, 0, -2, 0, 4, 1, 0, 4, 0, 0, 10, 0, 0, 0, -12, 0, 4, -1, 0, 0, 4, 0, 0, -5, 0, 4, 10, 0, 0, 0, 0, -2, -4, 0, -4, 4, 0, 1, 0, 0, 4, 4, 0, 0, 8, 0, -4, 10, 0, 0, 0, 0, 8, 0, 0, -12, -16, 0, 0, 4, 0, -1, 8, 0, 0, 0, 0, 4, 0, 0, 8, 0, 0, -5, -12, 0, -4, 4, 0, 10, 12, 0, 18, 0, 0, 0, -2, 0, 0, -2, 0, -4, 0, 0, 1, -4, 0, 4, 0, 0, 0, 1, 0, 0, -8, 0, 0, 4, 0, 4, -6, 0, 16, 0, 0, 8, -4, 0, 0, -4, 0, 10, 10, 0, -8, 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 12, -12, 0, -16, 0, 0, 3, 0, 0, 4, 4, 0, 0, -1, 0, 8, 4, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 16, 0, -14, 8, 0, 0, -6, 0, 12, -5, 0, -12, 0, 0, 0, -4, 0, 4, 0, 0, -12, 10, 0, 12, 0, 0, 0, 18, 0, 0, 16, 0, 12, 0, 0, -2, -8, 0, 16, 0, 0, -2, -6, 0, 0, -4, 0, 0, -8, 0, 20, 1, 0, -4, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 1, -24, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 4, -8, 0, 24, 4, 0, -6, 5, 0, -10, 16, 0, 0, 10, 0, 24, 8, 0, -4, 0, 0, -1, 0, 0, -4, -4, 0, 0, 10, 0, 10, 0, 0, 0, -8, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0, -32, -8, 0, 8, 18, 0, 2, 0, 0, 0, 0, 0, -20, 12, 0, -12, 0, 0, 20, -16, 0, 0, 0, 0, -2, 3, 0, 0, -4, 0, 0, 4, 0, 4, -12, 0, 28, 0, 0, -1, 24, 0, 0, 8, 0, 4, 32, 0, -19, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 22, -4, 0, 4, -8, 0, 4, 0, 0, 16, -4, 0, 0, -14, 0, 8, -10, 0, 0, 0, 0, -6, 0, 0, 8, 12, 0, -5, 34, 0, 16, -12, 0, 0, -10, 0, -20, 0, 0, -4, 0, 0, 0, 4, 0, 0, -36, 0, 22, -12, 0, 10, -20, 0, 0, 12, 0, 0, 40, 0, -40, 0, 0, 18, 0, 0, 40, 0, 0, 16, -4, 0, 0, 12, 0, 0, -18, 0, 12, -2, 0, -8, 0, 0, 26, 16, 0, 0, 28, 0, -40, -2, 0, -6, 36, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, -8, 24, 0, 40, 20, 0, 1, 0, 0, -8, -4, 0, 0, -20, 0, -8, 0, 0, 4, 0, 0, 20, 0, 0, 4, -24, 0, 0, 0, 0, 0, -24, 0, 0, 1, 0, -24, 0, 0, -4, 0, 0, 0, 0, 0, -8, -8, 0, 8, 16, 0, -23, 0, 0, 0, -48, 0, 0, 4, 0, -8, 0, 0, -34, 24, 0, 4, 0, 0, -36, -6, 0, 5, 0, 0, 0, -10, 0, 16, -14, 0, 16, 0, 0, 10, 0, 0, 0, 24, 0, 8, -6, 0, -12, -4, 0, 0, 0, 0, -40, -1, 0, 0, 0, 0, -10, -4, 0, -4, 36, 0, 0, 0, 0, 10, -36, 0, 0, 10, 0, 0, 24, 0, -28, 0, 0, -8, 0, 0, -16, 0, 0, 0, 16, 0, 26, 8, 0, 0, -22, 0, -36, 0, 0, 4, 0, 0, 25, -32, 0, -8, 40, 0, -16, 8, 0, 18, 0, 0, 0, 2, 0, 0, 2, 0, -20, 0, 0, 0, -20, 0, 4, -20, 0, 12, 30, 0, 0, -12, 0, 0, -4, 0, -40, 20, 0, -16, 0, 0, 0, 0, 0, 0, 4, 0, -2, -2, 0, 3, 4, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 4, 40, 0, -28, 4, 0, -12, 0, 0, -48, 28, 0, 0, -2, 0, 0, -1, 0, 24, 0, 0, 26, 0, 0, 8, 0, 0, 0, 4, 0, 32, -36, 0, 0, -19, 0, 0, 10, 0, -12, 0, 0, 0, 16, 0, -4, 12, 0, 0, -4, 0, 28, 0, 0, 0, -32, 0, 0, 22, 0, -4, 0, 0, 32, 4, 0, -8, 0, 0, -22, 4, 0, 0, 44, 0, 0, 16, 0, -4, -16, 0, -20, 0, 0, -14, 40, 0, -20, 8, 0, -10, 0, 0, -8, 0, 0, 0, 0, 0, -32, -6, 0, 0, 0, 0, -16, 8, 0, 12, 16, 0, 16, -5, 0, 34, 4, 0, 0, 16, 0, -12, -10, 0, 8, 0, 0, -10, 0, 0, 0, -20, 0, 0, -54, 0, 0, -4, 0, 0, 28, 0, 24, 0, 0, 4, 0, 0, 0, 0, 0, -36, -36, 0, -25, 22, 0, -12, 0, 0, 0, 10, 0, -20, 0, 0, 4, 0, 0, 12, -4, 0, -52, 0, 0, 40, 32, 0, 0, -40, 0, 0, -8, 0, 16, 18, 0, 0, 0, 0, -46, 40, 0, 0, 16, 0, 4, 16, 0, -4, -8, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -18, -8, 0, 40, 12, 0, -2, 0, 0, 12, -8, 0, 0, 40, 0, 16, 26, 0, 16, 0, 0, -16, 0, 0, 28, 32, 0, -50, -40, 0, -2, 48, 0, 0, -6, 0, 36, 0, 0, -36, 0, 0, 0, 28, 0, 0, -4, 0, -4, 12, 0, -16, 0, 0, 0, 54, 0, 0, -8, 0, 24, 0, 0, -15, 40, 0, 20, 0, 0, -8, 1, 0, 0, 20, 0, 0, -8, 0, -4, 50, 0, -8, 0, 0, -20, -60, 0, 0, -8, 0, 0, 0, 0, 56, 4, 0, 0, 0, 0, -28, 20, 0, 0, 0, 0, -16, 4, 0, -24, 0, 0, -30, 0, 0, 0, 40, 0, 0, 0, 0, -24, 12, 0, -40, 0, 0, 1, 60, 0, 32, -24, 0, 0, -24, 0, -10, -4, 0, 0, -16, 0, 28, 0, 0, 0, 0, 0, 0, -8, 0, -8, 16, 0, -20, 8, 0, 16, 0, 0, 0, -23, 0, 0, -58, 0, 40, 0, 0, -48, -8, 0, 20, 0, 0, 4, -20, 0, -20, -8, 0, 0, -64, 0, 0, -34, 0, 24, 0, 0, 32, 4, 0, 0, 0, 0, -6, -36, 0, -6, -28, 0, 0, 5, 0, 0, -24, 0, 0, 0, 0, -10, -24, 0, 12, 16, 0, -14, 0, 0, -2, 16, 0, 0, 0, 0, -52, 10, 0, 0, 0, 0, -10, 0, 0, 24, 4, 0, 0, 8, 0, -6, 16, 0, 0, -12, 0, -4, 0, 0, 40, 0, 0, 0, -64, 0, -40, -40, 0, -1, 32, 0, 0, 0, 0, 0, -4, 0, 0, -10, 0, -4, 0, 0, 20, -4, 0, 36, -20, 0, -12, 0, 0, 0, -32, 0, 0, 10, 0, -36, 4, 0, 24, 0, 0, 10, 24, 0, 0, 0, 0, 24, -18, 0, -34, -28, 0, 0, 0, 0, 32, -8, 0, 0, 0, 0, -14, -16, 0, 0, 12, 0, 0, 0, 0, 16, 8, 0, 0, 26, 0, 8, 18, 0, -48, 0, 0, -22, 0, 0, -48, -36, 0, 0, -16, 0, 2, 4, 0, 0, -8, 0, -4, 25, 0, -32, 0, 0, 0, -8, 0, 40, -60, 0, 32, -16, 0, 8, 0, 0, 0, 18, 0, 0, -48, 0, 0, 0, 0, 2, 32, 0, -36, 0, 0, 2, 44, 0, 0, -20, 0, 0, 22, 0, 36, 0, 0, -20, 0, 0, -34, 4, 0, -20, 40, 0, -8, 12, 0, 30, 28, 0, 0, 0, 0, -12, -48, 0, 0, 0, 0, -4, -56, 0, 48, -40, 0, 20, -50, 0, -8, -16, 0, 0, -1, 0, 16, 0, 0, 0, 0, 0, -16, 0, 0, 4, 32, 0, 0, -2, 0, -2, 0, 0, 0, 3, 0, 4, 0, 0, 0, 0, 0, 0, -20, 0, -8, -4, 0, -4, -24, 0, 63, 0, 0, 0, 46, 0, 0, 4, 0, 40, 0, 0, -38, -28, 0, 4, 0, 0, 0, -12, 0, 0, 48, 0, 0, -48, 0, 28, 0, 0, -40, 0, 0, -2, 0, 0, 0, 0, 0, -1, -18, 0, -64, 24, 0, 0, 0, 0, 72, 26, 0, 0, 0, 0, 64, 8, 0, 0, -24, 0, 10, 0, 0, 4, 48, 0, 0, 32, 0, -36, -24, 0, 8, 0, 0, -19, 0, 0, -8, 0, 0, 10, -60, 0, 2, -12, 0, 0, 16, 0, 56, 0, 0, 16, 0, 0, 0, -4, 0, 12, -8, 0, -56, 0, 0, -4, 20, 0, 0, 28, 0, 0, 6, 0, 60, 0, 0, -32, 8, 0, 40, 0, 0, 22, -54, 0, 0, -4, 0, 0, -20, 0, 0, 32, 0, 4, 0, 0, 6, -8, 0, 0, 60, 0, 32, -22, 0, 4, -120, 0, 0, 0, 0, 44, 60, 0, 20, 0, 0, 16, -16, 0, -16, -4, 0, -16, 0, 0, -20, -20, 0, 0, 0, 0, 20, -14, 0, 40, 0, 0, -34, -20, 0, 8, -12, 0, 0, -10, 0, 0, -64, 0, 0, -8, 0, 0, 0, 0, 20, 0, 0, 0, -52, 0, 4, -32, 0, -6, 0, 0, -76, 0, 0, 0, 16, 0, 0, -16, 0, 8, 0, 0, 40, 12, 0, 16, 0, 0, -34, 16, 0, -5, -20, 0, 0, 34, 0, 4, 8, 0, -16, 0, 0, 16, -36, 0, 0, -12, 0, -10, -60, 0, -38, 8, 0, 0, 0, 0, 64, -10, 0, 0, 0, 0, 0, 0, 0, -20, -16, 0, -10, 0, 0, -54, 40, 0, 0, 0, 0, -4, 32, 0, 0, 0, 0, 28, 0, 0, -60, 24, 0, 0, 8, 0, 16, 4, 0, 0, -36, 0, 28, 0, 0, 0, 0, 0, -20, -36, 0, -36, 0, 0, 103, -25, 0, 22, 0, 0, 0, -12, 0, 0, 0, 0, -76, 0, 0, 10, -72, 0, -68, -20, 0, 0, -32, 0, 0, 4, 0, 0, -46, 0, 8, 12, 0, -4, 0, 0, -48, -52, 0, 0, 32, 0, -4, 40, 0, 32, 8, 0, 0, 0, 0, -40, -58, 0, 0, 0, 0, -8, 40, 0, -8, 16, 0, 18, 0, 0, 76, 0, 0, 0, -16, 0, 8, -46, 0, 40, 0, 0, 48, 0, 0, 16, -48, 0, 0, 4, 0, 16, 8, 0, 0, -4, 0, -8, -40, 0, 44, 0, 0, 0, -24, 0, -68, 12, 0, 0, 36, 0, -34, 0, 0, 0, -12, 0, 0, -18, 0, -8, 0, 0, -70, 40, 0, 12, 0, 0, 64, -2, 0, 0, -48, 0, 0, 12, 0, -8, 0, 0, 48, 0, 0, 40, -64, 0, 20, 16, 0, 26, -16, 0, -32, 16, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 28, 0, 32, 24, 0, -27, -50, 0, -40, 72, 0, 0, -2, 0, 48, -3, 0, -28, 0, 0, -6, 0, 0, 16, 36, 0, 0, -8, 0, 2, -36, 0, 0, 74, 0, 28, 0, 0, 28, 0, 0, 0, 0, 0, -4, 20, 0, -16, -4, 0, 12, 0, 0, 0, -16, 0, 0, -46, 0, -4, 0, 0, 54, -60, 0, 0, 0, 0, -8, 26, 0, 0, 24, 0, 0, 0, 0, -8, -15, 0, 40, 0, 0, -48, 20, 0, 0, 0, 0, -18, -8, 0, 1, 40, 0, 0, 0, 0, 20, -8, 0, 0, 0, 0, -8, 12, 0, 68, -4, 0, 50, 0, 0, 0, -8, 0, 0, 100, 0, -32, -20, 0, -60, 0, 0, -4, 0, 0, -8, -56, 0, -40, 0, 0, 0, 16, 0, 0, 56, 0, 4, 0, 0, -64, 0, 0, 0, 0, 0, -36, -28, 0, 20, 14, 0, 56, 0, 0, 0, -4, 0, 0, -16, 0, 4, 0, 0, 52, -24, 0, 0, 0, 0, 78, -30, 0, 0, 16, 0, 0, 0, 0, 40, -60, 0, 56, 0, 0, 0, 0, 0, 0, -24, 0, 12, 48, 0, -32, -40, 0, 0, 0, 0, 0, 1, 0, 60, 0, 0, 6, 32, 0, -24, 4, 0, -16, 0, 0, -24, 48, 0, 0, -10, 0, -4, -58, 0, 0, 0, 0, -16, 80, 0, 16, 28, 0, 0, -46, 0, -52, 0, 0, 0, 8, 0, -20, 0, 0, -8, 0, 0, 0, -8, 0, 16, -60, 0, -16, -20, 0, 8, 0, 0, 0, 16, 0, 0, 48, 0, -24, 0, 0, -23, 8, 0, 48, 0, 0, -58, 14, 0, 0, 40, 0, 0, -30, 0, 40, -48, 0, -8, 0, 0, 38, 20, 0, 0, -36, 0, 88, 4, 0, -20, 0, 0, 0, -20, 0, -8, -74, 0, 0, 0, 0, -64, 0, 0, 16, 0, 0, -34, 0, 0, 6, 24, 0, 0, 0, 0, -120, 32, 0, 4, 0, 0, -36, 0, 0, 0, -40, 0, 0, -6, 0, -36, -12, 0, 0, -6, 0, -28, 0, 0, -40, 0, 0, 5, 32, 0, -68, 0, 0, -24, -24, 0, -31, 0, 0, 0, 6, 0, 0, -10, 0, -24, 0, 0, 14, 12, 0, 16, -40, 0, -32, -14, 0, 0, 0, 0, 0, -2, 0, 16, -66, 0, 48, 0, 0, 0, 64, 0, 0, -52, 0, 10, 16, 0, 12, 0, 0, 0, 0, 0, -40, -10, 0, 0, 0, 0, -16, 24, 0, 4, -12, 0, 82, 0, 0, 8, 52, 0, 0, -6, 0, 16, 40, 0, -32, 0, 0, -12, 0, 0, 88, -4, 0, 0, -16, 0, -74, 40, 0, 0, -6, 0, 0, 0, 0, -64, 0, 0, 0, -40, 0, -40, 52, 0, -48, -1, 0, 32, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, -4, 16, 0, -24, 0, 0, -10, -50, 0, 0, -4, 0, 0, 60, 0, 80, 20, 0, -4, 0, 0, 84, 36, 0, -20, 48, 0, 0, -12, 0, 0, 24, 0, 0, 0, 0, -32, 64, 0, 0, 0, 0, 10, 0, 0, -32, -36, 0, 4, 0, 0, -38, 24, 0, 0, 2, 0, 24, 10, 0, 24, 0, 0, -74, 0, 0, 0, 52, 0, 0, 24, 0, -18, -60, 0, 0, -34, 0, -28, 0, 0, 32, 0, 0, 0, -8, 0, 0, 32, 0, -8, -66, 0, 48, 0, 0, 0, 64, 0, -40, -14, 0, -16, 0, 0, -16, 0, 0, 12, 0, 0, 6, 0, 0, 0, -60, 0, 0, 16, 0, 8, 8, 0, 32, 0, 0, 26, -12, 0, 0, 8, 0, 18, -84, 0, 0, -48, 0, 0, 0, 0, -52, -22, 0, 0, 0, 0, -10, -48, 0, -36, -12, 0, 40, 0, 0, -16, 64, 0, 0, 2, 0, 4, 0, 0, 40, 0, 0, -8, 0, 0, 8, -4, 0, 25, 48, 0, 8, -32, 0, 0, 0, 0, -56, 0, 0, -8, 0, 0, 0, 40, 0, -60, -16, 0, 74, 32, 0, -16, 60, 0, 0, 8, 0, 0, -92, 0, 40, 0, 0, 18, -16, 0, -28, 0, 0, -48, 48, 0, 0, 0, 0, 0, -54, 0, -32, 2, 0, 32, 0, 0, -50, -36, 0, 0, -24, 0, 6, 2, 0, 44, -32, 0, 0, 0, 0, -20, -64, 0, 20, 0, 0, 22, 52, 0, -16, 36, 0, 0, 0, 0, 48, -20, 0, 0, 72, 0, -44, -34, 0, 4, 0, 0, 0, -20, 0, 40, 0, 0, 0, -8, 0, 12, -60, 0, 0, 30, 0, 28, 0, 0, -44, 0, 0, 0, 48, 0, -16, -12, 0, -48, 80, 0, 8, 0, 0, 0, 54, 0, 0, -4, 0, -56, 0, 0, 0, 48, 0, -40, 0, 0, 48, 20, 0, -50, -20, 0, 0, -8, 0, -16, -82, 0, 48, 0, 0, -1, 84, 0, 0, 16, 0, 0, -32, 0, -72, 0, 0, 0, -60, 0, 8, -16, 0, 0, 0, 0, -52, 4, 0, 32, 20, 0, -2, 0, 0, -2, 8, 0, 0, -2, 0, 0, -52, 0, -40, 0, 0, 3, 0, 0, 28, 4, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, -56, 0, 0, -20, 0, 0, -90, -8, 0, -4, 24, 0, 60, -4, 0, -24, 0, 0, 0, 63, 0, 0, 54, 0, -48, 0, 0, 46, -48, 0, 92, 0, 0, 4, -34, 0, 0, 40, 0, 0, 32, 0, -4, -38, 0, -28, 0, 0, 104, 4, 0, 0, 48, 0, -16, 0, 0, -12, -56, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -48, 36, 0, 64, 28, 0, 0, 0, 0, -82, -40, 0, 0, 78, 0, -60, -2, 0, 0, 0, 0, 47, 0, 0, 0, -16, 0, 0, -1, 0, -18, 60, 0, 0, -64, 0, 24, 10, 0, 24, 0, 0, 0, 0, 0, -4, 72, 0, 26, -42, 0, 0, 0, 0, 0, 4, 0, 0, 64, 0, 8, 0, 0, 20, 0, 0, -24, 0, 0, -74, 10, 0, 0, -48, 0, 0, 4, 0, 48, -16, 0, 0, 0, 0, 32, 12, 0, 0, -36, 0, -24, -80, 0, 16, 8, 0, 0, 0, 0, 84, -19, 0, 0, 0, 0, -8, -8, 0, 0, 8, 0, 48, 10, 0, -60, -16, 0, 0, 2, 0, -12, 78, 0, -96, 0, 0, 16, 0, 0, 12, 56, 0, 0, 0, 0, 80, 16, 0, 0, -96, 0, 24, 0, 0, -4, 0, 0, 0, 12, 0, -8, 40, 0, 16, -56, 0, 0, 0, 0, 0, -4, 0, 20, -32, 0, 64, 0, 0, 28, -40, 0, 8, 0, 0, 6, 108, 0, 0, 60, 0, 0, 10, 0, -76, -32, 0, 8, 0, 0, 64, 40, 0, 0, -24, 0, 0, 22, 0, -54, 8, 0, 0, 0, 0, -4, 48, 0, 0, 0, 0, -20, -24, 0, 32, 0, 0, 32, 0, 0, 32, 4, 0, 0, -36, 0, 0, 6, 0, -8, 0, 0, 84, 0, 0, 60, 20, 0, -5, 32, 0, -22, -24, 0, 0, 4, 0, -120, 0, 0, -8, 0, 0, 0, -16, 0, 16, 44, 0, 60, 10, 0, 102, 20, 0, 0, 32, 0, 0, 16, 0, -16, 0, 0, -22, -16, 0, -4, 0, 0, -28, -16, 0, 0, -160, 0, 0, -20, 0, -20, 0, 0, -32, 0, 0, 0, 84, 0, 0, 20, 0, -14, -46, 0, -10, 40, 0, 0, 0, 0, 0, -34, 0, -20, 0, 0, -24, 8, 0, -12, -32, 0, 26, 0, 0, -10, -24, 0, 0, 0, 0, -64, 48, 0, 28, 0, 0, -8, 0, 0, -40, 0, 0, 0, -48, 0, 80, 20, 0, 0, 30, 0, -16, 0, 0, -52, 0, 0, 0, 4, 0, -32, 16, 0, 0, -6, 0, 0, 0, 0, 0, -76, 0, 0, -36, 0, -96, 0, 0, 16, 0, 0, -40, 0, 0, -16, 0, 0, 0, 8, 0, 0, 1, 0, -52, 40, 0, 12, 0, 0, -20, 16, 0, 0, 12, 0, -16, -34, 0, 16, 0, 0, 0, -5, 0, -20, 60, 0, 0, 0, 0, 34, 4, 0, 0, 4, 0, 8, 0, 0, -78, -16, 0, 0, -6, 0, 4, 16, 0, -36, 0, 0, -94, 0, 0, -12, -40, 0, 0, -10, 0, -60, -96, 0, 0, -38, 0, 8, 0, 0, 64, 0, 0, 0, 88, 0, -84, 64, 0, -10, 54, 0, 100, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -8, -20, 0, -16, 40, 0, 4, -10, 0, 0, -56, 0, 0, -54, 0, 40, 0, 0, 0, 0, 0, 0, 80, 0, 0, -4, 0, 32, -68, 0, 70, 0, 0, 0, 0, 0, 32, 28, 0, 0, 0, 0, 14, -60, 0, 24, 48, 0, -40, 0, 0, 8, 36, 0, 0, 16, 0, 4, 34, 0, -4, 0, 0, -36, 0, 0, 32, 28, 0, 0, -96, 0, 32, 0, 0, 0, 52, 0, -24, -20, 0, -36, 0, 0, 0, -36, 0, 0, -4, 0, 50, 103, 0, -25, 0, 0, 0, 22, 0, 0, -12, 0, 44, 0, 0, -12, -8, 0, 72, 0, 0, 0, 48, 0, 0, -76, 0, 0, 30, 0, 28, 10, 0, -72, 0, 0, 32, -68, 0, -20, 0, 0, 192, 0, 0, -32, 32, 0, 0, 0, 0, 4, 74, 0, 0, 0, 0, -46, 32, 0, -4, 8, 0, 12, 30, 0, 0, -4, 0, 0, -16, 0, 64, -48, 0, -52, 0, 0, 0, 0, 0, 32, 32, 0, 0, -4, 0, 40, -28, 0, 0, 32, 0, 8, 0, 0, -16, 0, 0, 0, 28, 0, 4, -40, 0, -58, -12, 0, -30, 0, 0, 0, 0, 0, -80, -8, 0, 40, 0, 0, -43, -8, 0, 16, 0, 0, -18, 18, 0, 0, -60, 0, 0, 76, 0, 0, -32, 0, -36, 0, 0, -16, -8, 0, 0, 8, 0, -46, -2, 0, 88, 40, 0, 0, 0, 0, 68, 48, 0, 0, 0, 0, 96, 16, 0, -48, 8, 0, 58, 0, 0, 4, 60, 0, 0, 16, 0, 8, 116, 0, -44, 0, 0, -4, 0, 0, 84, -8, 0, -40, 40, 0, 0, 44, 0, 0, -22, 0, 80, 0, 0, -24, 0, 0, 0, -68, 0, 12, -64, 0, 92, 0, 0, 36, 20, 0, 0, -34, 0, 0, -66, 0, -96, 0, 0, -12, -48, 0, 80, 0, 0, -18, -26, 0, 0, -8, 0, 0, 16, 0, -40, -70, 0, 40, 0, 0, -8, 12, 0, 0, 0, 0, -2, 64, 0, -2, -8, 0, 0, 0, 0, -48, -8, 0, 0, 0, 0, 12, 0, 0, 92, -8, 0, 0, 0, 0, 10, 48, 0, 0, -20, 0, -104, 40, 0, -64, 0, 0, -96, 20, 0, 16, 40, 0, 0, 26, 0, -16, 64, 0, 0, -32, 0, 16, 0, 0, 0, 0, 0, 0, -80, 0, -4, 0, 0, -16, 18, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 44, 32, 0, 24, 0, 0, -62, -27, 0, -50, 0, 0, 0, -40, 0, 72, 2, 0, 92, 0, 0, -2, 32, 0, 0, 48, 0, -3, -64, 0, -45, -28, 0, 0, -50, 0, 68, -6, 0, 0, 0, 0, 74, 16, 0, 36, -120, 0, -76, 0, 0, -8, 0, 0, 0, 2, 0, -36, 0, 0, 4, 0, 0, 74, 0, 0, -4, 28, 0, 0, 14, 0, 80, 28, 0, 0, -24, 0, -44, 0, 0, 0, 0, 0, 40, -4, 0, 20, -88, 0, 0, -16, 0, -4, 0, 0, 0, 12, 0, 0, 48, 0, 104, 0, 0, -16, 12, 0, 16, 0, 0, -46, 60, 0, 0, -4, 0, 0, -16, 0, -40, 54, 0, -60, 0, 0, 12, 0, 0, 0, -64, 0, -104, -8, 0, 26, 32, 0, 0, 0, 0, 24, 90, 0, 0, 0, 0, 0, -28, 0, 0, -8, 0, -15, 0, 0, -56, 40, 0, 0, 68, 0, 48, -48, 0, 20, 0, 0, -32, 0, 0, 0, 24, 0, 0, -18, 0, -8, -40, 0, 0, 1, 0, 40, 0, 0, 48, 0, 0, 0, -40, 0, -24, 20, 0, -8, 0, 0, -2, 0, 0, 0, 64, 0, 0, -8, 0, 12, 0, 0, -64, 68, 0, -4, 0, 0, -108, 50, 0, 0, -104, 0, 0, 0, 0, -8, 66, 0, -44, 0, 0, 100, 0, 0, 40, -32, 0, -20, -58, 0, -12, -60, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 104, -8, 0, -56, -84, 0, -32, -40, 0, 0, -16, 0, 0, 0, 0, 16, 120, 0, -24, 0, 0, 56, 0, 0, 104, 4, 0, 0, 19, 0, 12, -64, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, -28, 68, 0, 32, 20, 0, 14, 0, 0, 0, 56, 0, 0, -18, 0, 112, 0, 0, -4, 108, 0, 0, 0, 0, -16, 46, 0, 0, 4, 0, 0, -12, 0, 92, 52, 0, -24, 0, 0, -108, 0, 0, 0, -32, 0, 180], "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": "3234.2.a.e", "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], [4], [0], [0], [1], [4], [0], [0], [0], [0], [-1], [0], [0], [-5], [4], [0], [0], [-2], [0], [4], [1], [0], [4], [0], [0], [10], [0], [0], [0], [-12], [0], [4], [-1], [0], [0], [4], [0], [0], [-5], [0], [4], [10], [0], [0], [0], [0], [-2], [-4], [0], [-4], [4], [0], [1], [0], [0], [4], [4], [0], [0], [8], [0], [-4], [10], [0], [0], [0], [0], [8], [0], [0], [-12], [-16], [0], [0], [4], [0], [-1], [8], [0], [0], [0], [0], [4], [0], [0], [8], [0], [0], [-5]]}