# Stored data for newform 9522.2.a.i, downloaded from the LMFDB on 19 April 2024. {"label": "9522.2.a.i", "space_label": "9522.2.a", "level": 9522, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36028797052527922, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 961087164404558288, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [2, 1]], [7, [-2, 1]], [11, [6, 1]], [29, [6, 1]]], "qexp_display": "q+q^{2}+q^{4}-2q^{5}+2q^{7}+q^{8}-2q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 38088, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 76.03355280466319, "hecke_ring_index": 1, "level_radical": 138, "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": "0.024", "prec": 17}, "analytic_rank_proved": true, "char_values": [9522, 1, [2117, 1063], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 23], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.029", "prec": 17}, {"__RealLiteral__": 0, "data": "0.973", "prec": 17}, {"__RealLiteral__": 0, "data": "0.082", "prec": 17}, {"__RealLiteral__": 0, "data": "1.942", "prec": 17}, {"__RealLiteral__": 0, "data": "0.274", "prec": 17}, {"__RealLiteral__": 0, "data": "4.875", "prec": 17}], "related_objects": ["EllipticCurve/Q/9522/i"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [23, -1]], "trace_display": [1, 0, -2, 2], "traces": [0, 1, 1, 0, 1, -2, 0, 2, 1, 0, -2, -6, 0, -2, 2, 0, 1, 0, 0, 0, -2, 0, -6, 0, 0, -1, -2, 0, 2, -6, 0, 8, 1, 0, 0, -4, 0, 0, 0, 0, -2, -10, 0, 12, -6, 0, 0, 8, 0, -3, -1, 0, -2, 2, 0, 12, 2, 0, -6, 12, 0, -4, 8, 0, 1, 4, 0, 12, 0, 0, -4, 0, 0, -10, 0, 0, 0, -12, 0, 6, -2, 0, -10, 14, 0, 0, 12, 0, -6, 0, 0, -4, 0, 0, 8, 0, 0, 6, -3, 0, -1, 6, 0, -14, -2, 0, 2, 14, 0, 16, 12, 0, 2, -8, 0, 0, -6, 0, 12, 0, 0, 25, -4, 0, 8, 12, 0, 12, 1, 0, 4, 8, 0, 0, 12, 0, 0, -12, 0, 12, -4, 0, 0, 12, 0, 12, -10, 0, 0, -18, 0, -12, 0, 0, -12, -16, 0, -16, 6, 0, -2, 0, 0, -12, -10, 0, 14, -8, 0, -9, 0, 0, 12, 18, 0, -2, -6, 0, 0, 16, 0, -8, -4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 14, 6, 0, -3, 6, 0, -2, -1, 0, 6, -12, 0, 20, -14, 0, -2, 0, 0, 20, 2, 0, 14, -24, 0, 16, 16, 0, 12, 0, 0, 12, 2, 0, -8, -10, 0, 24, 0, 0, -6, -10, 0, -16, 12, 0, 0, 16, 0, 6, 25, 0, -4, 6, 0, 0, 8, 0, 12, -6, 0, 0, 12, 0, 1, 6, 0, 0, 4, 0, 8, 4, 0, -4, 0, 0, 12, -18, 0, 28, 0, 0, -12, 6, 0, 26, 12, 0, -4, 16, 0, -24, 0, 0, 12, -20, 0, -17, 12, 0, -10, -6, 0, -24, 0, 0, -18, 0, 0, 24, -12, 0, 0, 8, 0, -20, -12, 0, -16, -16, 0, 26, -16, 0, 6, -22, 0, 36, -2, 0, 0, 0, 0, 2, -12, 0, -10, 16, 0, 4, 14, 0, -8, -24, 0, 10, -9, 0, 0, -48, 0, -20, 12, 0, 18, 8, 0, 26, -2, 0, -6, 2, 0, 0, 0, 0, 16, 24, 0, -19, -8, 0, -4, 20, 0, 14, 0, 0, 0, 4, 0, 32, 0, 0, 8, 12, 0, 0, 0, 0, 0, 4, 0, 24, 14, 0, 6, 6, 0, 0, -3, 0, 6, -12, 0, 6, -2, 0, -1, -32, 0, -16, 6, 0, -12, 0, 0, -10, 20, 0, -14, 24, 0, -28, -2, 0, 0, -26, 0, -4, 20, 0, 2, 0, 0, -8, 14, 0, -24, -12, 0, 2, 16, 0, 16, 0, 0, -16, 12, 0, 0, -36, 0, 0, 12, 0, 2, -2, 0, 60, -8, 0, -10, 8, 0, -26, 24, 0, 0, 30, 0, -40, -6, 0, -10, 18, 0, 24, -16, 0, 12, -72, 0, 0, 0, 0, 16, 24, 0, 0, 6, 0, 25, -12, 0, 8, -4, 0, 6, 32, 0, 0, 0, 0, 8, 0, 0, -20, 12, 0, -6, -12, 0, -12, 0, 0, 12, 10, 0, -20, 1, 0, 6, 28, 0, -48, 0, 0, 4, 4, 0, 4, 8, 0, 4, 0, 0, 0, -4, 0, 0, 20, 0, -28, 12, 0, -18, 18, 0, 26, 28, 0, 0, -32, 0, 28, -12, 0, 6, 0, 0, 12, 26, 0, 12, 6, 0, -24, -4, 0, 16, 14, 0, 16, -24, 0, 0, 16, 0, -4, 12, 0, -20, 0, 0, 2, -17, 0, 12, 28, 0, -12, -10, 0, -6, -16, 0, 0, -24, 0, 0, 6, 0, 0, -18, 0, 0, 32, 0, 10, 24, 0, -12, -50, 0, -4, 0, 0, 8, -16, 0, 4, -20, 0, -12, -32, 0, 0, -16, 0, -16, 0, 0, -19, 26, 0, -16, 0, 0, 2, 6, 0, -22, -24, 0, 6, 36, 0, -2, 16, 0, -44, 0, 0, 0, 40, 0, -72, 2, 0, -12, 22, 0, -16, -10, 0, 16, 42, 0, 4, 4, 0, 14, 0, 0, 0, -8, 0, -24, 24, 0, -46, 10, 0, -9, 6, 0, 12, 0, 0, -48, 24, 0, 24, -20, 0, 12, -4, 0, -4, 18, 0, 8, -24, 0, 0, 26, 0, -2, 2, 0, 0, -6, 0, 2, 12, 0, -4, 0, 0, 0, 0, 0, -24, 16, 0, 24, 48, 0, -28, -19, 0, -8, 6, 0, 18, -4, 0, 20, 0, 0, -36, 14, 0, 0, -72, 0, -20, 0, 0, 4, 4, 0, 36, 32, 0, 0, 28, 0, 38, 8, 0, 12, 24, 0, 32, 0, 0, 0, -30, 0, 32, 0, 0, 4, -24, 0, 26, 24, 0, 14, -30, 0, -8, 6, 0, 6, 0, 0, 0, 0, 0, -3, 32, 0, 28, 6, 0, -12, -16, 0, 8, 6, 0, -2, -18, 0, 0, -1, 0, -32, 60, 0, 0, -16, 0, 6, 2, 0, 28, -12, 0, 0, 24, 0, 0, -10, 0, 20, 6, 0, -24, -14, 0, 24, 18, 0, 42, -28, 0, -2, 0, 0, 16, 0, 0, -26, -12, 0, 7, -4, 0, 20, 18, 0, 50, 2, 0, 0, 0, 0, 6, -8, 0, 14, -2, 0, -4, -24, 0, -12, -32, 0, -36, 2, 0, 16, -36, 0, -24, 16, 0, 0, 24, 0, 10, -16, 0, 12, -32, 0, 36, 0, 0, -36, 16, 0, 24, 0, 0, 12, 0, 0, -32, 2, 0, -2, -48, 0, 0, 60, 0, -8, 16, 0, -16, -10, 0, 8, -20, 0, -84, -26, 0, 24, 16, 0, -10, 0, 0, 30, 0, 0, 0, -40, 0, -6, 54, 0, 0, -10, 0, 18, 0, 0, -2, 24, 0, -16, 54, 0, 0, 12, 0, -72, -8, 0, 20, 0, 0, 0, -24, 0, 0, 16, 0, 24, -24, 0, 33, 0, 0, 6, -28, 0, -8, 25, 0, -12, -10, 0, 24, 8, 0, -4, 12, 0, 0, 6, 0, 32, 52, 0, -12, 0, 0, 0, 0, 0, -16, 8, 0, 0, 4, 0, 10, -20, 0, 12, 24, 0, 0, -6, 0, -12, 0, 0, 22, -12, 0, 0, -34, 0, 24, 12, 0, 10, -6, 0, -62, -20, 0, 1, 10, 0, -12, 6, 0, 28, -44, 0, -14, -48, 0, 0, 0, 0, -20, 4, 0, 4, -36, 0, 0, 4, 0, 8, 36, 0, 20, 4, 0, 0, -40, 0, -24, 0, 0, -4, -6, 0, 34, 0, 0, 20, -36, 0, -16, -28, 0, 12, 0, 0, -12, -18, 0, 18, -28, 0, 0, 26, 0, 28, -32, 0, 0, 0, 0, -32, -54, 0, -54, 28, 0, -12, 10, 0, -32, 6, 0, 0, 20, 0, 0, 12, 0, 26, -50, 0, -36, 12, 0, 6, -24, 0, -10, -24, 0, -4, 0, 0, -28, 16, 0, 14, 0, 0, -10, 16, 0, -24, 84, 0, 20, 0, 0, 16, 0, 0, -24, -4, 0, 12, -48, 0, 0, -20, 0, 0, 24, 0, 14, 2, 0, -17, 0, 0, 0, 12, 0, 28, 24, 0, 20, -12, 0, -10, -16, 0, 12, -6, 0, -16, -8, 0, -84, 0, 0, -24, 34, 0, -18, 0, 0, 6, 30, 0, 60, 0, 0, -18, -4, 0, -32, 0, 0, 32, -96, 0, -58, 10, 0, 24, -12, 0, 0, -12, 0, -50, 36, 0, -44, -4, 0, 0, 28, 0, 0, 8, 0, -16, 24, 0, 3, 4, 0, -20, 22, 0, -44, -12, 0, -32, 0, 0, -46, 0, 0, -16, 0, 0, 48, -16, 0, 0, -72, 0, 26, -19, 0, 26, 32, 0, 12, -16, 0, 0, -30, 0, -12, 2, 0, 6, 0, 0, -16, -22, 0, -24, -80, 0, 0, 6, 0, 36, -38, 0, -14, -2, 0, 16, 20, 0, -12, -44, 0, 0, -2, 0, 20, 0, 0, 40, 0, 0, -50, -72, 0, 2, -54, 0, -10, -12, 0, 22, 42, 0, 0, -16, 0, -10, -12, 0, -8, 16, 0, 42, 0, 0, -14, 4, 0, 4, -2, 0, -28, 14, 0, 0, -84, 0, 96, 0, 0, -8, 0, 0, 28, -24, 0, 24, 0, 0, 36, -46, 0, 10, 0, 0, 28, -9, 0, 6, -56, 0, 0, 12, 0, 0, -38, 0, -48, -48, 0, 24, 8, 0, -37, 24, 0, -20, 66, 0, -72, 12, 0, -4, 12, 0, -66, -4, 0, 18, -52, 0, 0, 8, 0, -24, -28, 0, -4, 0, 0, 26, -72, 0, -34, -2, 0, 2, 0, 0, -32, 0, 0, -6, -6, 0, 0, 2, 0, 12, 48, 0, -32, -4, 0, 0, 18, 0, -14, 0, 0, 0, 20, 0, 54, -24, 0, 16, -8, 0, 40, 24, 0, 48, -24, 0, -48, -28, 0, -19, 34, 0, -10, -8, 0, 6, 12, 0, 34, 18, 0, -4, 64, 0, 0, 20, 0, 0, 0, 0, 12, -36, 0, 14, 16, 0, -50, 0, 0, -72, -12, 0, 40, -20, 0, 0, -54, 0, 64, 4, 0, 4, 28, 0, -50, 36, 0, 32, 14, 0, 0, 0, 0, 28, 0, 0, 0, 38, 0, 8, -48, 0, 72, 12, 0, 24, -40, 0, 0, 32, 0, 0, 0, 0, -24, 0, 0, -30, 6, 0, 4, 32, 0, 0, -72, 0, 28, 4, 0, -24, 40, 0, -12, 26, 0, 24, 0, 0, 24, 14, 0, -30, 0, 0, 78, -8, 0, 6, 6, 0, 32, 6, 0, 0, 56, 0, 24, 0, 0, 0, -52, 0, -28, -3, 0, 32, 22, 0, -50, 28, 0, 6, 0, 0, 48, -12, 0, -16, 48, 0, 44, 8, 0, 6, -20, 0, 0, -2, 0, -18, -72, 0, -48, 0, 0, -1, 60, 0, 48, -32, 0, 60, -68, 0, 74, 0, 0, -16, -46, 0, 0, 6, 0, 2, -36, 0, -40, 28, 0, -12, -24, 0, -12, 0, 0, 24, -20, 0, 0, 0, 0, -10, -26, 0, 108, 20, 0, 6, 16, 0, -32, -24, 0, -14, 0, 0, -24, 24, 0, 18, -8, 0, -42, 42, 0, -28, 72, 0, -46, -2, 0, 0, 62, 0, -78, 16, 0, 0, 32, 0, -12, -26, 0, -12, 0, 0, 59, 7, 0, -4, -20, 0, 12, 20, 0, 18, 0, 0, -44, 50, 0, 2, -34, 0, -16, 0, 0, 0, -16, 0, 96, 6, 0, -8, 30, 0, -72, 14, 0, -2, 40, 0, 0, -4, 0, -24, 20, 0, -64, -12, 0, -32, 96, 0, 0, -36, 0, 2, -58, 0, -16, 16, 0, -36, 0, 0, 42, -24, 0, 16, -52, 0, 76, 0, 0, 24, 0, 0, 34, 10, 0, -16, -12, 0, 38, 12, 0, -32, -120, 0, -4, 36, 0, 0, 24, 0, 0, -36, 0, 16, 0, 0, -38, 24, 0, 0, 24, 0, 40, 12, 0, 0, 60, 0, 6, -32, 0, 2, 72, 0, -48, -2, 0, -48, 12, 0, -34, 0, 0, 60, 38, 0, -24, -8, 0, 16, -30, 0, 0, -16, 0, -10, 0, 0, 0, 8, 0, -20, 24, 0, 10, -84, 0, -26, 96, 0, -46, 24, 0, 16, -28, 0, 48, -10, 0, 0, 8, 0, 0, 30, 0, 0, -40, 0, 101, 0, 0, -40, 0, 0, -8, -6, 0, 54, 54, 0, 60, 0, 0, -10, -64, 0, 4, 18, 0, 0, -48, 0, 22, -2, 0, 24, -66, 0, 0, -16, 0, 54, -36, 0, -24, 0, 0, 12, 66, 0, -32, -72, 0, -8, 0, 0, 56, 20, 0, 0, 22, 0, -108, 0, 0, -24, -26, 0, 0, 0, 0, 16, 66, 0, -8, 24, 0, -24, 0, 0, 0, 33, 0, 0, 12, 0, -80, 6, 0, -28, -18, 0, -14, -8, 0, 25, 36, 0, 52, -12, 0, -10, -72, 0, -12, 24, 0, 8, -50, 0, 58, -4, 0, 12, 0, 0, 0, 0, 0, 6, 0, 0, 24, 32, 0, 52, 32, 0, -96, -12, 0, 0, 54, 0, -6, 0, 0, 0, 36, 0, -48, -16, 0, 8, -12, 0, -12, 0, 0, 4, 48, 0, -6, 10, 0, -20, -66, 0, 42, 12, 0, 24, 12, 0, 64, 0, 0, -6, 30, 0, -32, -12, 0, 0, 32, 0, 70, 22, 0, -12, 96, 0, -34, 0, 0, -34, 4, 0, 48, 24, 0, 12, 0, 0, 0, 10, 0, -6, 60, 0, 32, -62, 0, -20, 20, 0, 0, 1, 0, 10, -12, 0, -58, -12, 0, 6, 0, 0, 0, 28, 0, -44, 24, 0, -48, -14, 0, -48, 10, 0, 0, 0, 0, 0, -14, 0, 96, -20, 0, 4, 60, 0, 68, 4, 0, -36, -60, 0, 26, 0, 0, 4, 0, 0, 52, 8, 0, 36, -84, 0, 0, 20, 0, 4, 8, 0, -36, 0, 0, -40, -32, 0, 2, -24, 0, 0, 60, 0, 24, -4, 0, -6, -84, 0, 0, 34, 0, 0, -26, 0, -20, 20, 0, -36, 16, 0, -46, -16, 0, -28, 18, 0, 52, 12, 0, 0, 0, 0, -40, -12, 0, -18, -24, 0, 24, 18, 0, -28, 0, 0, 22, 0, 0, 26, -4, 0, -36, 28, 0, -32, 16, 0, -20, 0, 0, 0, -32, 0, 20, -32, 0, -54, 0, 0, 0, -54, 0, 28, 12, 0, 52, -12, 0, 10, 32, 0, 44, -32, 0, 6, 0, 0, 28, 0, 0, 20, 72, 0, 17, 0, 0, 12, -26, 0, 72, 26, 0, -50, -44, 0, -22, -36, 0, 12, 0, 0, 0, 6, 0, -24, 0, 0, 72, -10, 0, -24, 22, 0, -56, -4, 0, 0, 72, 0, 4, -28, 0, 16, -36, 0, -16, 14, 0, 0, -120, 0, 0, -10, 0, 16, 0, 0, -80, -24, 0, 84, -48, 0, 0, 20, 0, 0, 24, 0, 4, 16, 0, 0, 24, 0, -58, -24, 0, -4, 52, 0, -22, 12, 0, -48, -36, 0, -58, 0, 0, -20, 72, 0, 0, 0, 0, 24, -24, 0, -60, 14, 0, 2, 10, 0, -62, -17, 0, 0, 80, 0, 8, 0, 0, 12, -120, 0, 0, 28, 0, 24, -32, 0, 0, 20, 0, -12, -6, 0, -36, -10, 0, -16, 36, 0, 46, 12, 0, -6, -48, 0, 28, -16, 0, -8, 68, 0, 16, -84, 0, 0, 34, 0, 20, -24, 0, 34, 0, 0, 144, -18, 0, 0, 0, 0, -68, 6, 0, 30, 0, 0, -22, 60, 0, 0, -82, 0, -58, -18, 0, -4, -96, 0, 36, -32, 0, 0, -6, 0, -48, 32, 0, -96, 84, 0, -19, -58, 0, 10, 0, 0, -84, 24, 0, -12, 90, 0, 0, 0, 0, -12, -22, 0, -120, -50, 0, 36, 64, 0, -6, -44, 0, -4, 16, 0, 0, 0, 0, 28, -16, 0, 44, 0, 0, 8, 42, 0, 52, -16, 0, 24, -48, 0, 48, 3, 0, 4, -72, 0, -64, -20, 0, 22, -50, 0, 0, -44, 0, -12, 0, 0, -52, -32, 0, 0, 4, 0, -74, -46, 0, 0, 2, 0, 0, -16, 0, 0, 0, 0, 0, 48, 0, -16, 0, 0, 16, 0, 0, -72, 40, 0, 60, 26, 0, -19, 40, 0, 54, 26, 0, 32, 0, 0, -28, 12, 0, -16, 48, 0, 24, 0, 0, -30, -144, 0, 82, -12, 0, 2, -6, 0, -38, 6, 0, 0, 72, 0, 0, -16, 0, -22, 144, 0, -20, -24, 0, -80, 24, 0, -20, 0, 0, 6, -70, 0, -46, 36, 0, -38, 40, 0, -74, -14, 0, -2, -12, 0, 60, 16, 0, 20, 0, 0, 28, -12, 0, -44, 112, 0, 14, 0, 0, -2, -32, 0, 0, 20, 0, 0, 96, 0, 4, 40, 0, 0, -52, 0, -50, -50, 0, -72, -6, 0, 0, 2, 0, -54, 0, 0, -8, -10, 0, -12, 20, 0, 64, 22, 0, 42, -8, 0, -2, 0, 0, -16, -18, 0, -48, -10, 0, -12, 0, 0, -96, -8, 0, 16, 60, 0, 0, 42, 0, 0, 24, 0, 0, -14, 0, 4, 0, 0, 20, 4, 0, -2, -36, 0, 0, -28, 0, 14, -18, 0, 64, 0, 0, -84, -32, 0, -40, 96, 0, 0, 0, 0, -100, -8, 0, 0, -14, 0, 42, 28, 0, -24, 8, 0, -4, 24, 0, 0, -12, 0, -46, 36, 0, -46, -42, 0, -36, 10, 0, 0, -44, 0, 0, 28, 0, -9, -52, 0, 20, 6, 0, -56, 68, 0, -66, 0, 0, 12, 0, 0, -42, 0, 0, -38, 12, 0, -16, -48, 0, -48, 52, 0, 28, 24, 0, 8, -56, 0, 0, -37, 0, 24, -54, 0, -40, -20, 0, 66, -120, 0, 46, -72, 0, 12, 66, 0, 0, -4, 0, 12, 0, 0, 36, -66, 0, -4, -24, 0, -50, 18, 0, -52, 0, 0, 96, 0, 0, 8, -16, 0, 12, -24, 0, -28, 0, 0, -12, -4, 0, 0, 10, 0, -44, 26, 0, -72, 48, 0, 0, -34, 0, -2, -22, 0, 64, 2, 0, 0, -64, 0, -49, -32, 0, 0, -36, 0, -28, -6, 0, -6, 104, 0, -32, 0, 0, 2, 8, 0, -36, 12, 0, 48, 0, 0, 18, -32, 0, -4, -54, 0, 0, 0, 0, 18, 30, 0, -32, -14, 0, 0, 0, 0, 28, 0, 0, 20, 8, 0, -46, 54, 0, -24, 74, 0, -20, 16, 0, -8, -32, 0, 0, 40, 0, 24, 0, 0, 0, 48, 0, -24, 16, 0, 144, -48, 0, -28, -4, 0, 104, -19, 0, 34, -36, 0, -24, -10, 0, -8, -28, 0, -24, 6, 0, 12, -48, 0, -56, 34, 0, 18, 38, 0, 0, -4, 0, 64, 24, 0, 104, 0, 0, 20, 0, 0, 0, 0, 0, 0, 24, 0, -36, 12, 0, -36, -52, 0, 32, 14, 0, 16, 92, 0, 0, -50, 0, 0, 0, 0, -8, -72, 0, -12, 20, 0, -14, 40, 0, -20, -18, 0, 108, 0, 0, -54, -26, 0, -12, 64, 0, 4, 54, 0, 60, 4, 0, 28, 0, 0, -48, -50, 0, 36, -168, 0, 0, 32, 0, 14, 84, 0, 12, 0, 0, 0, 100, 0, -64, 28, 0, 0, -48, 0, 102, 0, 0, 38, -20, 0, 48, 8, 0, -48, 66, 0, 0, 72, 0, 12, -24, 0, -76, 24, 0, -40, 100, 0, -25, 0, 0, 32, 20, 0, 4, 0, 0, 0, 8, 0, 14, -24, 0, 0, 48, 0, 0, -30, 0, 6, -156, 0, -62, 4, 0, 32, 0, 0, 32, 0, 0, -72, 0, 0, -74, 28, 0, 4, -8, 0, -20, -24, 0, 40, 0, 0, -32, -12, 0, 26, 0, 0, -70, 24, 0, 0, -8, 0, 64, 24, 0, 14, 52, 0, -96, -30, 0, 0, 0, 0, 0, 78, 0, -8, -72, 0, -84, 6, 0, 6, -32, 0, 94, 32, 0, 6, 144, 0, 0, 0, 0, 56, -8, 0, 94, 24, 0, 0, -22, 0, 24, 0, 0, -52, 48, 0, -12, -28, 0, -3, -98, 0, -120, 32, 0, 22, -4, 0, 0, -50, 0, 28, 96, 0, 0, 6, 0, 0, -4, 0, 120, 48, 0, -12, -96, 0, -76, -16, 0, 48, -24, 0, 58, 44, 0, 8, 0, 0, -12, 6, 0, -20, 102, 0, 64, 0, 0, -2, -12, 0, -4, -18, 0, -72, -92, 0, -112, -48, 0, 0, 0, 0, -52, -1, 0, 60, 56, 0, -32, 48, 0, -32, 14, 0, 0, 60, 0, -68, 88, 0, 26, 74, 0, 0, -86, 0, 36, -16, 0, -46, 60, 0, 34, 0, 0, 6, -8, 0, -80, 2, 0, -36, -60, 0, -80, -40, 0, 28, 144, 0, 0, -12, 0, -24, 8, 0, 8, -12, 0, 0, -84, 0, 20, 24, 0, -20, 12, 0, -44, 0, 0, 0, 36, 0, 70, -10, 0, -26, -8, 0, 48, 108, 0, 20, 0, 0, -36, 6, 0, 16, 0, 0, 0, -32, 0, -24, 0, 0, -84, -14, 0, 0, 6, 0, 62, -24, 0, 24, -8, 0, 92, 18, 0, -8, -144, 0, -34], "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": "138.2.a.a", "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], [2], [1], [0], [-2], [-6], [0], [-2], [2], [0], [1], [0], [0], [0], [-2], [0], [-6], [0], [0], [-1], [-2], [0], [2], [-6], [0], [8], [1], [0], [0], [-4], [0], [0], [0], [0], [-2], [-10], [0], [12], [-6], [0], [0], [8], [0], [-3], [-1], [0], [-2], [2], [0], [12], [2], [0], [-6], [12], [0], [-4], [8], [0], [1], [4], [0], [12], [0], [0], [-4], [0], [0], [-10], [0], [0], [0], [-12], [0], [6], [-2], [0], [-10], [14], [0], [0], [12], [0], [-6], [0], [0], [-4], [0], [0], [8], [0], [0], [6], [-3], [0], [-1]]}