# Stored data for newform 9702.2.a.ca, downloaded from the LMFDB on 25 April 2024. {"label": "9702.2.a.ca", "space_label": "9702.2.a", "level": 9702, "weight": 2, "hecke_orbit": 53, "hecke_orbit_code": 234187180656829926, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1127243999891233660, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-2, 1]], [13, [2, 1]], [17, [1, 1]], [19, [-3, 1]], [23, [1, 1]], [29, [1, 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": "0.011", "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": "0.009", "prec": 17}, {"__RealLiteral__": 0, "data": "1.002", "prec": 17}, {"__RealLiteral__": 0, "data": "0.020", "prec": 17}, {"__RealLiteral__": 0, "data": "2.021", "prec": 17}, {"__RealLiteral__": 0, "data": "0.038", "prec": 17}, {"__RealLiteral__": 0, "data": "5.117", "prec": 17}], "related_objects": ["EllipticCurve/Q/9702/ca"], "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, -1, 0, 3, 2, 0, 1, -1, 0, -1, -2, 0, 0, -1, 0, 2, 1, 0, -1, 0, 0, -5, 3, 0, 2, 10, 0, 1, 1, 0, -1, -7, 0, 0, -1, 0, -2, 12, 0, 2, 0, 0, -1, 3, 0, 14, 2, 0, 1, -4, 0, 12, -1, 0, 0, 5, 0, 8, -5, 0, 3, 0, 0, 0, 2, 0, 10, 6, 0, -2, 1, 0, 1, 6, 0, 0, -1, 0, -7, 6, 0, -7, 0, 0, -1, 9, 0, 6, -2, 0, 12, -2, 0, -20, 2, 0, 0, 10, 0, -2, -1, 0, 3, 0, 0, 1, 14, 0, 2, -12, 0, -1, 1, 0, -4, 0, 0, 0, 12, 0, -1, 6, 0, 13, 0, 0, 5, -2, 0, -2, 8, 0, -5, -11, 0, -15, 3, 0, 0, 4, 0, -1, 0, 0, 2, 0, 0, 10, 10, 0, 6, -2, 0, -9, -2, 0, 1, -14, 0, 0, 1, 0, 6, -7, 0, 10, 0, 0, -1, -10, 0, -1, -7, 0, 6, -8, 0, 8, -7, 0, 0, 27, 0, 2, -1, 0, 9, 0, 0, 20, 6, 0, -2, 3, 0, 4, 12, 0, -2, 2, 0, 0, -20, 0, 2, 2, 0, 26, 0, 0, 10, 10, 0, 10, -2, 0, -1, -21, 0, -14, 3, 0, 0, -22, 0, 12, 1, 0, 14, 0, 0, -6, 2, 0, -12, 21, 0, -1, -1, 0, 1, 6, 0, 0, -4, 0, 0, -6, 0, 24, 0, 0, 12, -12, 0, -16, -1, 0, 6, -1, 0, -24, 13, 0, 0, 7, 0, 0, 5, 0, -2, 0, 0, -16, -2, 0, 8, -9, 0, 6, -5, 0, -11, 2, 0, 0, -15, 0, 3, 28, 0, 4, 0, 0, 4, -13, 0, -7, -1, 0, 0, 6, 0, -1, 2, 0, 0, -3, 0, 2, 10, 0, 10, 0, 0, -2, 6, 0, -2, 24, 0, 0, -9, 0, -2, 2, 0, 0, 1, 0, -14, -32, 0, 16, 0, 0, 1, 6, 0, 10, 6, 0, -7, 10, 0, -10, 10, 0, 0, 16, 0, 32, -1, 0, -10, 0, 0, 26, -1, 0, -7, 2, 0, -8, 6, 0, -8, -25, 0, 0, 8, 0, -7, -30, 0, 1, 0, 0, 27, 0, 0, 27, 2, 0, -1, -24, 0, -4, 9, 0, 0, -5, 0, -16, 20, 0, 6, 0, 0, 12, -2, 0, 3, -29, 0, -17, 4, 0, 12, 1, 0, 0, -2, 0, 2, -16, 0, 19, 0, 0, -20, -3, 0, -31, 2, 0, 2, 15, 0, 12, 26, 0, 0, -12, 0, 10, 10, 0, 10, 0, 0, 32, 10, 0, -2, -33, 0, 16, -1, 0, -21, -27, 0, 0, -14, 0, 3, 1, 0, -3, 0, 0, -22, 26, 0, 10, 12, 0, 1, -14, 0, -34, 14, 0, 0, -6, 0, 1, -6, 0, 2, 0, 0, 8, -12, 0, 21, 42, 0, 18, -1, 0, -1, 20, 0, 0, 1, 0, 6, 12, 0, -7, 0, 0, -4, -14, 0, 4, 0, 0, -6, -2, 0, -22, 24, 0, 0, -20, 0, -4, 12, 0, -12, 0, 0, -16, -16, 0, -1, -40, 0, 39, 6, 0, -1, -3, 0, 0, -24, 0, 13, -35, 0, -2, 0, 0, 7, 38, 0, 20, 0, 0, 5, -15, 0, 7, -2, 0, 0, 1, 0, -14, -16, 0, -2, 0, 0, 12, 8, 0, -9, -12, 0, 6, 6, 0, -5, -15, 0, 0, -11, 0, 2, 0, 0, -8, 0, 0, -15, 2, 0, 28, 3, 0, 28, 14, 0, -14, 4, 0, 0, 36, 0, -26, 4, 0, -13, 0, 0, -19, -7, 0, -1, 5, 0, 18, 0, 0, 6, -2, 0, 0, -1, 0, 2, -12, 0, 32, 0, 0, -3, -48, 0, 3, 2, 0, 10, 14, 0, 0, 10, 0, 0, 44, 0, -5, -2, 0, 6, 0, 0, 1, -2, 0, 24, 14, 0, 22, 0, 0, -9, -7, 0, 0, -2, 0, 2, -39, 0, 12, 0, 0, 1, -24, 0, 18, -14, 0, -32, 26, 0, -10, 16, 0, 0, 9, 0, -15, 1, 0, 6, 0, 0, 9, 10, 0, 6, -2, 0, -4, -7, 0, 10, -23, 0, 0, -10, 0, 10, 1, 0, -14, 0, 0, 16, -1, 0, 10, 32, 0, -1, 12, 0, 36, -10, 0, 0, 36, 0, -22, 26, 0, -1, 0, 0, -32, -7, 0, 2, -30, 0, 47, -8, 0, 6, -18, 0, 0, -8, 0, -25, -6, 0, 20, 0, 0, 8, -36, 0, -2, -7, 0, -30, 30, 0, 5, 1, 0, 0, -2, 0, 31, 27, 0, 0, 0, 0, -28, 27, 0, 2, -22, 0, 7, -1, 0, -24, 8, 0, 0, -4, 0, 9, 18, 0, 28, 0, 0, -5, 20, 0, 3, -16, 0, 20, -30, 0, 44, 6, 0, 0, 34, 0, -7, 12, 0, -2, 0, 0, -4, 3, 0, -29, 24, 0, -28, -17, 0, 4, -18, 0, 0, 12, 0, 1, 5, 0, -14, 0, 0, -2, 47, 0, 26, 2, 0, -16, 44, 0, -28, 19, 0, 0, 0, 0, -24, -20, 0, -3, 0, 0, -14, -31, 0, 2, -12, 0, 40, 2, 0, 15, -44, 0, 0, 12, 0, 26, -21, 0, -14, 0, 0, -12, -2, 0, -12, 10, 0, 10, 20, 0, -40, 10, 0, 0, -45, 0, 6, 32, 0, 10, 0, 0, 57, -2, 0, -33, -10, 0, 5, 16, 0, -1, -36, 0, 0, -21, 0, -27, -2, 0, -18, 0, 0, -14, -35, 0, -10, 3, 0, 1, -53, 0, -16, -3, 0, 0, -26, 0, -16, -22, 0, 26, 0, 0, -27, 10, 0, 12, 16, 0, -1, 1, 0, -14, -4, 0, 0, -34, 0, 14, 28, 0, 6, 0, 0, -6, -39, 0, 54, 1, 0, -6, -1, 0, 16, 2, 0, 0, 4, 0, 42, 8, 0, -12, 0, 0, -3, 21, 0, 42, 36, 0, -32, 18, 0, -1, -4, 0, 0, -1, 0, 20, 0, 0, -50, 0, 0, 1, -10, 0, 0, 6, 0, 12, -22, 0, -14, -7, 0, 0, -14, 0, 4, -4, 0, -14, 0, 0, 6, 4, 0, 0, -50, 0, -55, -6, 0, -2, 8, 0, 0, -22, 0, 24, 58, 0, 48, 0, 0, -20, -7, 0, -22, -4, 0, 12, 5, 0, -1, -12, 0, 0, -12, 0, 7, -16, 0, -16, 0, 0, 6, -1, 0, -40, 14, 0, -53, 39, 0, 6, -29, 0, 0, -1, 0, -3, -25, 0, 4, 0, 0, -24, -60, 0, 9, 13, 0, -35, 52, 0, 4, -2, 0, 0, 9, 0, 30, 7, 0, 38, 0, 0, 44, 20, 0, 0, 6, 0, 20, 5, 0, -15, -12, 0, 0, 7, 0, -2, 20, 0, -10, 0, 0, 1, -62, 0, -19, -14, 0, -16, -12, 0, 42, -2, 0, 0, 32, 0, -42, 12, 0, 8, 0, 0, 26, -9, 0, -12, 7, 0, -2, 6, 0, 6, -26, 0, 0, -5, 0, -15, 8, 0, -10, 0, 0, -11, -6, 0, -44, 2, 0, 0, -20, 0, -16, -8, 0, 0, 24, 0, -5, -15, 0, 2, 0, 0, 17, 28, 0, 3, 6, 0, -12, 28, 0, 14, 48, 0, 0, -14, 0, 4, 38, 0, 35, 0, 0, 36, -12, 0, -46, -26, 0, 4, -8, 0, 10, -13, 0, 0, -1, 0, 10, -19, 0, -7, 0, 0, 42, -1, 0, 5, -9, 0, 14, 18, 0, 0, -2, 0, 0, 6, 0, -2, 20, 0, 36, 0, 0, -1, 24, 0, -38, 2, 0, -12, 24, 0, 12, 32, 0, 0, 54, 0, -8, -3, 0, -48, 0, 0, -28, 3, 0, 2, -32, 0, -34, 10, 0, 14, -4, 0, 0, 0, 0, 10, -18, 0, -12, 0, 0, 44, -12, 0, -7, -5, 0, -2, -12, 0, -4, 6, 0, 0, 1, 0, 2, 1, 0, -2, 0, 0, -12, 24, 0, 14, 0, 0, -24, 22, 0, 0, 15, 0, 0, -9, 0, -7, -32, 0, -3, 0, 0, -2, 66, 0, 7, 2, 0, -39, 24, 0, -12, 12, 0, 0, -68, 0, -12, 1, 0, -24, 0, 0, 48, 18, 0, -14, -48, 0, 24, -32, 0, 26, 4, 0, 0, -10, 0, 16, -1, 0, -49, 0, 0, 9, -14, 0, 14, -15, 0, 1, -54, 0, -6, 6, 0, 0, 0, 0, 40, 9, 0, 10, 0, 0, -56, 6, 0, -2, -6, 0, -44, -4, 0, -7, 16, 0, 0, 10, 0, -23, 3, 0, 0, 0, 0, -10, -32, 0, 23, 10, 0, 1, -14, 0, 71, -14, 0, 0, -14, 0, -29, 16, 0, -1, 0, 0, -18, 10, 0, 32, -20, 0, -23, -1, 0, 12, -3, 0, 0, 36, 0, -10, -39, 0, -18, 0, 0, 36, -30, 0, 69, -22, 0, 26, -18, 0, 4, -1, 0, 0, 12, 0, 0, -32, 0, -7, 0, 0, 6, 2, 0, -30, 56, 0, -6, 47, 0, -8, -50, 0, 0, 6, 0, -18, -51, 0, -14, 0, 0, -8, 13, 0, -76, -25, 0, -6, 8, 0, -12, 20, 0, 0, -12, 0, 66, 8, 0, -36, 0, 0, 5, -2, 0, -7, 21, 0, -26, -30, 0, 30, 54, 0, 0, 5, 0, 1, -14, 0, -52, 0, 0, -2, 25, 0, -2, 31, 0, 27, 18, 0, 45, 0, 0, 0, -30, 0, 12, -28, 0, 27, 0, 0, -5, 2, 0, -22, -2, 0, 66, 7, 0, -1, -31, 0, 0, -24, 0, 8, -13, 0, 62, 0, 0, -4, -46, 0, -6, 9, 0, 18, -36, 0, 74, 28, 0, 0, 24, 0, 23, -5, 0, 20, 0, 0, -5, 3, 0, -16, -28, 0, -11, 20, 0, -30, 24, 0, 0, 44, 0, 6, 7, 0, 2, 0, 0, 34, -4, 0, -68, -7, 0, 12, -15, 0, 16, -2, 0, 0, 38, 0, 0, -4, 0, 3, 0, 0, -12, -29, 0, 24, -8, 0, 59, -28, 0, -17, 0, 0, 0, 4, 0, -18, 18, 0, -74, 0, 0, 12, -60, 0, -42, 1, 0, 5, 0, 0, 4, -14, 0, 0, -54, 0, -3, -2, 0, 47, 0, 0, -9, 26, 0, 2, 22, 0, -47, -16, 0, 44, -1, 0, 0, -28, 0, 19, 34, 0, -64, 0, 0, 0, 35, 0, -25, -24, 0, -20, 32, 0, -26, -3, 0, 0, -6, 0, -54, -14, 0, -31, 0, 0, -13, 2, 0, -12, 10, 0, 12, 40, 0, 2, -14, 0, 0, 15, 0, -44, -5, 0, -28, 0, 0, 12, -12, 0, 22, 26, 0, -21, -45, 0, 8, -14, 0, 0, 10, 0, 20, -12, 0, -2, 0, 0, -44, -12, 0, 10, -20, 0, -26, 10, 0, 20, 78, 0, 0, -40, 0, 10, 0, 0, 2, 0, 0, -45, 48, 0, -8, 6, 0, 32, 6, 0, 32, 10, 0, 0, 64, 0, -2, 57, 0, -2, 0, 0, -21, -33, 0, -10, 48, 0, -42, 5, 0, 16, 20, 0, 0, -1, 0, -36, -9, 0, -28, 0, 0, -21, 52, 0, 47, -27, 0, -2, -27, 0, 22, -18, 0, 0, -49, 0, -72, -14, 0, -35, 0, 0, 4, -10, 0, 3, 45, 0, 28, 1, 0, -53, -16, 0, 0, -16, 0, -3, -72, 0, -14, 0, 0, -26, -79, 0, -6, -16, 0, -22, -18, 0, -50, 26, 0, 0, 27, 0, -10, -27, 0, 10, 0, 0, -70, 12, 0, 16, 14, 0, 4, -1, 0, 1, 22, 0, 0, -14, 0, -4, -12, 0, -60, 0, 0, -34, 26, 0, 60, 14, 0, 28, 2, 0, 18, 6, 0, 0, -60, 0, 30, -6, 0, -39, 0, 0, -7, 54, 0, 1, -26, 0, 0, -6, 0, -1, 50, 0, 0, 16, 0, 2, 54, 0, -33, 0, 0, 4, 10, 0, -44, 42, 0, 8, 53, 0, 11, -12, 0, 0, 9, 0, -48, -3, 0, 21, 0, 0, -40, 42, 0, 36, -8, 0, -22, -32, 0, 18, -7, 0, 0, -1, 0, -4, -52, 0, 5, 0, 0, -1, -6, 0, -10, 20, 0, 0, -45, 0, 2, -50, 0, 0, -32, 0, -6, 1, 0, -10, 0, 0, -30, 0, 0, 6, -1, 0, -5, 12, 0, -22, -24, 0, 0, -14, 0, -7, 22, 0, -60, 0, 0, -14, -6, 0, 24, 4, 0, -4, -29, 0, 6, -14, 0, 0, 48, 0, -60, 6, 0, 4, 0, 0, -58, 0, 0, -50, -71, 0, -8, -55, 0, -6, -34, 0, 0, -2, 0, 8, 24, 0, -51, 0, 0, -22, -8, 0, -20, 24, 0, 58, 8, 0, 12, 48, 0, 0, -27, 0, 13, -20, 0, -7, 0, 0, -7, -22, 0, -4, -65, 0, 28, 12, 0, 5, 30, 0, 0, -1, 0, -12, 15, 0, -32, 0, 0, -12, 1, 0, -90, 7, 0, -16, 38, 0, 27, -16, 0, 0, 4, 0, 120, 6, 0, -1, 0, 0, -34, -40, 0, 14, -15, 0, -6, -53, 0, 39, 2, 0, 0, 6, 0, -29, -62, 0, 44, 0, 0, -1, 10, 0, 18, -3, 0, -25, 54, 0, 2, 4, 0, 0, -54, 0, 30, -24, 0, -60, 0, 0, -18, 9, 0, 13, -6, 0, 0, -35, 0, 52, 7, 0, 0, 4, 0, -2, 58, 0, 79, 0, 0, 9, 32, 0, -24, 30, 0, 7, 28, 0, 4, 38, 0, 0, 20, 0, -70, 44, 0, 20, 0, 0, 16, 0, 0, 6, 84, 0, 1, 20, 0, 5, -63, 0, 0, -15, 0, -12, 12, 0, -57, 0, 0, 7, 64, 0, -33, -2, 0, 20, 0, 0, 62, -10, 0, 0, 54, 0, 3, 1, 0, -62, 0, 0, -66, -19, 0, -14, 35, 0, -50, -16, 0, -12, 32, 0, 0, 42, 0, -2, 4, 0, -9, 0, 0, 32, 14, 0, -6, -42, 0, 12, 0, 0, -54, 8, 0, 0, 30, 0, -5, 26, 0, -9, 0, 0, -14, -12, 0, 7, 90, 0, -20, -2, 0, 6, -66, 0, 0, 6, 0, -26, -13, 0, 2, 0, 0, -5, -6, 0, -15, -15, 0, 8, -36, 0, -31, -10, 0, 0, 68, 0, -35, -11, 0, -6, 0, 0, -12, -44, 0, 2, 75, 0, 52, 0, 0, -20, 76, 0, 0, -16, 0, -8, 20, 0, -6, 0, 0, 24, 88, 0, -3, -5, 0, -15, -91, 0, 30, 2, 0, 0, -48, 0, 7, 17, 0, 28, 0, 0, 2, 3, 0, 6, -68, 0, 32, -12, 0, 28, -71, 0, 0, 14, 0, 48, 56, 0, 0, 0, 0, -14, 26, 0, -12, 4, 0, 38, -48, 0, 2, 35, 0, 0, 2, 0, -32, 36, 0, -12, 0, 0, -63, -46, 0, -26, 67, 0, -60, 4, 0, -8, 16, 0, 0, 10, 0, -13, 0, 0, -84, 0, 0, -1, 16, 0, 10, 10, 0, -19, 140, 0, 16, -7, 0, 0, 20, 0, -16, 42, 0, -1, 0, 0, 84, 5, 0, -9, 10, 0, -22, 14, 0, 18, -9, 0, 0, 0, 0, -2, 9, 0, 11, 0, 0, 6, 3, 0, -68, -2, 0, 20, 62, 0, 40, 36, 0, 0, 58, 0, 40, -1, 0, 24, 0, 0, 15, -38, 0, 2, -54, 0, -21, -12, 0, 24, 15, 0, 0, 12, 0, 32, 12, 0, -6, 0, 0, 54, 45, 0, -6, -8, 0, -3, -14, 0, -4, -48, 0, 0, -80, 0, -14, -28, 0, 3, 0, 0, -10, 2, 0, -32, 18, 0, -28, -34, 0, 10, 50, 0, 0, 14, 0, -4, 8, 0, 30, 0, 0, 0, 68, 0, 14, 10, 0, -18, -25, 0, -22, -12, 0, 0, 44, 0, -4, 44, 0, -12, 0, 0, 39, -7, 0, -5, -44, 0, 8, -2, 0, -12, 12, 0, 0, -4, 0, 6, 49, 0, -43, 0, 0, 1, 52, 0, -40, 2, 0, 1, 1, 0, 32, -2, 0, 0, 2, 0, 93, -12, 0, 24, 0, 0, 1, 14, 0, 0, -79, 0, -41, -24, 0, 22, -44, 0, 0, 0, 0, 15, -85, 0, -40, 0, 0, -9, -32, 0, 64, -7, 0, -32, 15, 0, -48, -3, 0, 0, -6, 0, -77, -2, 0, 66, 0, 0, 20, 7, 0, 2, 44, 0, 80, -39, 0, 24, 78, 0, 0, -12, 0, 12, 55, 0, -8, 0, 0, -68, 120, 0, -30, -12, 0, 1, -24, 0, -6, -24, 0, 0, 12, 0, 21, 48, 0, 18, 0, 0, 48, -14, 0, -48, -10, 0, -21, 24, 0, -32, -72, 0, 0, 26, 0, 4, -1, 0, -70, 0, 0, -10, -21, 0, -88, 16, 0, -1, -4, 0, 67, -49, 0, 0, 3, 0, -44, 9, 0, -14, 0, 0, 91, 14, 0, -15, 7, 0, 76, 1, 0, -54, 67, 0, 0, -6, 0, 6, -10, 0, 6, 0, 0, 0, -33, 0, 6, 40, 0, 9, -3, 0, 2, 10, 0, 0, 27, 0, -30, -56, 0, 6, 0, 0, -11, -2, 0, -6, 14, 0, 34, -44, 0, -4, -72, 0, 0, -7, 0, 16, -98, 0, -45, 0, 0, 10, 9, 0, 12, -23, 0, 3, -104, 0, 12, 0, 0, 0, -28, 0, 28, -10, 0, -32, 0, 0, -6, 23, 0, 10, -50, 0, -52, 1, 0, -14, -34, 0, 0, 71, 0, -14, -64, 0, 50, 0, 0, -14, 24, 0, -54, -29, 0, 16, 1, 0, 0, -1, 0, 0, 41, 0, -9, -18, 0, 10, 0, 0, -24, 32, 0, -20, 76, 0, 14, -23, 0, -1, 12, 0, 0, 12, 0, -3, -20, 0, 37, 0, 0, 36, 12, 0, -12, -10, 0, -39, 60, 0, -30, -18, 0, 0, -69, 0, -50, 36, 0, -30, 0, 0, -20, 69, 0, -22, -16, 0, -3, 26, 0, -18, -6, 0, 0, 4, 0, -1, 80, 0, 0, 0, 0, 12, -20, 0, 27, 0, 0, -32, -16, 0, -14, -7, 0, 0, 94, 0, 0, 6, 0, 2, 0, 0, 76, -30, 0, 56, -48, 0, -1, -6, 0, 47, 42, 0, 0, -8, 0, -50, 56, 0, 7, 0, 0, 6, 70, 0, 7, -18, 0, -51, -24, 0, 98, -14, 0, 0, 5, 0, 28, -8, 0, 13, 0, 0, 110, -76, 0, -25, -28, 0, -86, -6, 0, 8, -30, 0, 0, -12, 0, 20, -10, 0, 5, 0, 0, -12, -3, 0, 72, 66, 0, 8, -48, 0, 7, -36, 0, 0, -52, 0, 30, 5, 0, -2, 0, 0, 2, -7, 0, 21, 44, 0, 34, -26, 0, -30, 0, 0, 0, 30, 0, 54, 86, 0, 104, 0, 0, 5, 22, 0, 36, 1, 0, -14, 18, 0, -24, -52, 0, 0, -85, 0, 8, -2, 0, 25, 0, 0, 10, -2, 0, 31, -84, 0, -6, 27, 0, 18, 36, 0, 0, 45, 0, 0, 20, 0, 95, 0, 0, -30, -30, 0, -26, 12, 0, -28, -6, 0, 1, 27, 0, 0, -16, 0, 26, -5, 0, 2, 0, 0, -3, -22, 0, -2, 105, 0, 12, 66, 0, 7, -13, 0, 0, -1, 0, -31, 76, 0, -24, 0, 0, -24, 87, 0, -27, 8, 0, -13, 64, 0, 82, 62, 0, 0, 24, 0, -9, -4, 0, -46, 0, 0, 26, -6, 0, 9, 168, 0, -96, 18, 0, -36, 0, 0, 0, 74, 0, 28, 6, 0, 8, 0, 0, 24, -84, 0, 40, 23, 0, -5, -6, 0, -72, 20, 0, 0, -42, 0, 28, -5, 0, 3, 0, 0, -26, -16, 0, -28, 0, 0, -10, -11, 0, 20, -8, 0, 0, -30, 0, 24, -42, 0, 2, 0, 0, 44, -30, 0, 88, 6, 0, 7, 86, 0, -13, 2, 0, 0, -10, 0, -4, 34, 0, -4, 0, 0, -58, -68, 0, -7, -4, 0, -39, 12, 0, -15, 51, 0, 0, 16, 0, -2, 66, 0, 62, 0, 0, 38, 2, 0, -35, 0, 0, -4, -12, 0, -59, 3, 0, 0, 39, 0, -27, -12, 0, -29, 0, 0, 28, 24, 0, -8, 63, 0, 22, 59, 0, -28, 44, 0, 0, -17, 0, 0, -41, 0, 56, 0, 0, 4, 4, 0, -40, -18, 0, 18, -2, 0, -14, -74, 0, 0, -84, 0, 8, 12, 0, -60, 0, 0, 0, -42, 0, 1, -21, 0, 60, 5, 0, 0, -46, 0, 0, 4, 0, -14, -8, 0, -78, 0, 0, -54, 12, 0, -13, -3, 0, -2, -6, 0, 11, 47, 0, 0, -56, 0, 54, -9, 0, 26, 0, 0, 30, 2, 0, 22, -7, 0, -48, -47, 0, -16, 43, 0, 0, 44, 0, -1, 36, 0, 50, 0, 0, -28, -69, 0, -54, 19, 0, 34, -78, 0, -11, -64, 0, 0, 15, 0, -13, 0, 0, 35, 0, 0, -50, -25, 0, -24, -20, 0, 6, -20, 0, 32, -81, 0, 0, -26, 0, -3, 24, 0, -26, 0, 0, -6, 20, 0, 18, -54, 0, -14, -1, 0, -28, -31, 0, 0, -30, 0, 76, -13, 0, 2, 0, 0, 32, -12, 0, 10, -28, 0, 77, 12, 0, 40, -87, 0, 0, 2, 0, -14, 48, 0, 22, 0, 0, 15, 18, 0, 40, -44, 0, -5, 144, 0, -3, -28, 0, 0, -36, 0, -71, 12, 0, -12, 0, 0, -4, 22, 0, 26, 6, 0, 64, -21, 0, -45, 2, 0, 0, 8, 0, -14, 5, 0, -24, 0, 0, 10, -4, 0, 35, 20, 0, -12, 69, 0, -46, -2, 0, 0, 42, 0, 48, -44, 0, -12, 0, 0, 8, 10, 0, -20, 1, 0, -31, -26, 0, 10, 86, 0, 0, 20, 0, 78, -115, 0, 12, 0, 0, -40, -24, 0, 32, 10, 0, 0, -28, 0, -42, 2, 0, 0, -2, 0, 21, -45, 0, 48, 0, 0, 60, -8, 0, 6, -14, 0, -2, 32, 0, 6, 6, 0, 0, 32, 0, 10, 20, 0, 24, 0, 0, 64, 38, 0, -64, -2, 0, 57, 42, 0, 0, -2, 0, 0, 1, 0, 24, -21, 0, -33, 0, 0, -77, -10, 0, 48, 72, 0, 87, -42, 0, 5, 52, 0, 0, 16, 0, 20, 0, 0, -72, 0, 0, -1, 0, 0, 72, -36, 0, -9, -24, 0, 135, -28, 0, 0, 11, 0, -100, -21, 0, 52, 0, 0, 54, 47, 0, -27, -45, 0, -32, -2, 0, -27, 81, 0, 0, 22, 0, -18, -10, 0, 2, 0, 0, -49, -64, 0, 32, -72, 0, -14, -73, 0, 60, -35, 0, 0, -16, 0, -62, 4, 0, -10, 0, 0, 15, 3, 0, 45, 28, 0, 6, 28, 0, 1, 94, 0, 0, -53, 0, -16, -26, 0, 97, 0, 0, -16, -87, 0, 0, -3, 0, -72, -80, 0, -36, -14, 0, 0, 18, 0, -30, -26, 0, -79, 0, 0, -32, -6, 0, -16, -112, 0, -96, -22, 0, -18, 6, 0, 0, -50, 0, 26, -78, 0, -12, 0, 0, 27, 16, 0, 2, -10, 0, -27, 40, 0, -95, 10, 0, 0, -48, 0, -25, -70, 0, 12, 0, 0, -10, 16, 0, 14, 108, 0, -72, 4, 0, -1, 96, 0, 0, 1, 0, 22, -24, 0, 5, 0, 0, -14, -6, 0, 6, -4, 0, -12, 9, 0, -102, -60, 0, 0, -10, 0, 60, -34, 0, 26, 0, 0, -42, 60, 0, 14, 10, 0, 77, 28, 0, 2, 48, 0, 0, 18, 0, 6, 24, 0, -50, 0, 0, -60, -28, 0, 1, 30, 0, -6, -26, 0, 64, -39, 0, 0, 62, 0, -2, -7, 0, 54, 0, 0, -88, 1, 0, -26, -37, 0, 10, 0, 0, -6, 36, 0, 0, -1, 0, 50, 10, 0, 21, 0, 0, 16, -56, 0, -27, 2, 0, 54, -10, 0, -6, -33, 0, 0, -70, 0, 14, 4, 0, 10, 0, 0, -44, -44, 0, 42, -102, 0, -8, 8, 0, 53, 14, 0, 0, 11, 0, -12, 27, 0, -7, 0, 0, 9, -64, 0, 12, -48, 0, -3, 36, 0, 16, 21, 0, 0, -81, 0, -26, -40, 0, 42, 0, 0, -52, 36, 0, -8, -13, 0, 100], "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": "1386.2.k.h", "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], [-1], [0], [3], [2], [0], [1], [-1], [0], [-1], [-2], [0], [0], [-1], [0], [2], [1], [0], [-1], [0], [0], [-5], [3], [0], [2], [10], [0], [1], [1], [0], [-1], [-7], [0], [0], [-1], [0], [-2], [12], [0], [2], [0], [0], [-1], [3], [0], [14], [2], [0], [1], [-4], [0], [12], [-1], [0], [0], [5], [0], [8], [-5], [0], [3], [0], [0], [0], [2], [0], [10], [6], [0], [-2], [1], [0], [1], [6], [0], [0], [-1], [0], [-7], [6], [0], [-7], [0], [0], [-1]]}