# Stored data for newform 9555.2.a.b, downloaded from the LMFDB on 25 April 2024.
{"label": "9555.2.a.b", "space_label": "9555.2.a", "level": 9555, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660934483, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2120978339176098767, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 1]], [11, [-4, 1]], [17, [2, 1]], [19, [-4, 1]], [23, [-8, 1]]], "qexp_display": "q-q^{2}-q^{3}-q^{4}-q^{5}+q^{6}+3q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 38220, "fricke_eigenval": -1, "atkin_lehner_string": "++-+", "analytic_conductor": 76.29705913133341, "hecke_ring_index": 1, "level_radical": 1365, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [9555, 1, [6371, 1912, 9166, 1471], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5, 7, 13], "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": "0.984", "prec": 17}, {"__RealLiteral__": 0, "data": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "1.967", "prec": 17}, {"__RealLiteral__": 0, "data": "0.034", "prec": 17}, {"__RealLiteral__": 0, "data": "4.949", "prec": 17}], "related_objects": ["EllipticCurve/Q/9555/b"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, 1], [7, -1], [13, 1]], "trace_display": [-1, -1, -1, 0], "traces": [0, 1, -1, -1, -1, -1, 1, 0, 3, 1, 1, 4, 1, -1, 0, 1, -1, -2, -1, 4, 1, 0, -4, 8, -3, 1, 1, -1, 0, -2, -1, 8, -5, -4, 2, 0, -1, 6, -4, 1, -3, 6, 0, -4, -4, -1, -8, 8, 1, 0, -1, 2, 1, 6, 1, -4, 0, -4, 2, 12, -1, 2, -8, 0, 7, 1, 4, -4, 2, -8, 0, 0, 3, 6, -6, -1, -4, 0, -1, 16, 1, 1, -6, 4, 0, 2, 4, 2, 12, -10, 1, 0, -8, -8, -8, -4, 5, -18, 0, 4, -1, -6, -2, 8, -3, 0, -6, 12, 1, -2, 4, -6, 0, 2, 4, -8, 2, -1, -12, 0, 3, 5, -2, -6, -8, -1, 0, -16, 3, 4, -1, 12, 4, 0, 4, 1, -6, -6, 8, 20, 0, -8, 0, -4, -1, 2, -6, 0, -6, -10, 1, 0, 12, -2, 0, -8, -1, 2, -16, -6, 5, 0, -1, -20, -6, 4, -4, -16, 0, 1, -2, 4, 4, 2, -2, 0, -4, -12, 10, -12, 1, -22, 0, -2, 24, -6, 8, -8, -8, 0, 4, 16, -7, -14, 18, -1, 0, 6, -4, 8, 3, 4, 6, 0, -2, -6, -8, 8, 1, 16, 0, 20, -6, 0, -12, 4, -3, 0, 2, -6, 4, 2, 6, 24, 0, 1, -2, -12, 4, -22, 8, 0, -6, 26, 1, -8, -12, -16, 0, -24, -1, 14, -5, -1, -2, 0, 6, -4, 24, -4, 1, 4, 0, 32, 16, -2, -17, -18, -4, 0, -1, -2, -12, -24, -12, -6, 0, 10, 4, -14, -1, 8, 2, 0, 6, 4, 8, -10, -20, 8, 0, -22, 8, 20, 0, 4, 4, 0, -5, -13, -2, 18, -6, -6, 0, -12, 18, -4, 10, -8, 1, 0, 0, 6, -4, -2, 2, 4, 0, -8, 8, -24, 3, -26, -2, 0, -16, 30, 6, -8, -7, -12, 0, -8, -1, -1, 20, 2, 18, 0, -4, 20, -4, 6, 16, 4, 0, -14, -1, -2, -2, 32, -4, 0, -12, 8, -2, -4, -2, -14, 0, 1, -20, 14, 12, 0, 10, 0, 12, 16, -3, -3, 22, -5, 0, -6, 2, 16, -8, 6, 6, 0, 8, 22, 8, 1, 24, 2, 0, 36, 4, 16, -16, -24, -3, 0, 14, -4, 18, 6, 1, -16, 0, -12, -6, -16, -4, -14, -8, 0, -1, -30, -4, -8, 6, -1, 0, 24, 6, 38, 6, 6, -8, 0, -8, -4, 5, -20, -16, -20, 0, -10, -20, 8, 18, -2, 0, 0, -12, 4, -4, 8, 1, -18, 0, -2, 2, 32, 6, 24, -12, 0, -2, -4, 6, 10, -24, 10, 0, 18, -1, 24, -2, 0, 12, 0, -12, 26, 22, 2, 8, 18, 0, 8, 2, 8, -26, -4, 1, 0, 8, -2, 36, -16, 16, 4, 0, 6, 24, -8, -5, -6, -14, 0, -5, 18, 1, 16, 6, 20, 0, -20, 6, 4, 4, -4, -8, 0, 4, 28, 1, 16, -4, -24, 0, 6, -32, -1, 16, -30, 2, 0, 11, -4, 18, -8, -4, 32, 0, -2, 3, 22, 2, 20, -12, 0, 24, -16, 4, 41, 6, 12, 0, -6, -10, -12, -12, 12, 14, 0, -1, 14, -8, 22, 10, 2, 0, 36, 6, 2, -4, -8, -24, 0, 10, 6, -20, -18, -8, 4, 0, 8, 22, -4, 8, -2, -20, 0, 0, -38, -4, 44, 4, -16, 0, 8, 7, -18, 13, 14, -2, 0, -18, 24, 18, 1, 6, 12, 0, 32, 12, -6, -6, 30, 4, 0, 10, -8, 8, 40, -3, 38, 0, -4, 0, -5, -6, -32, -20, 0, 2, -8, 2, 6, -4, 6, 0, -38, 8, -4, 8, -8, 24, 0, -1, 1, 26, -16, -2, -12, 0, 0, 48, -20, -30, 16, 6, 0, 8, 0, -3, -30, 12, -28, 0, -4, 8, -24, 3, 48, 1, 0, 20, 30, -2, -12, -6, 6, 0, 36, -4, -38, -20, -2, 12, 0, -6, -16, 16, -24, -4, 8, 0, 34, 14, -1, -1, 10, 2, 0, 6, 12, -32, 4, -4, 6, 0, 22, 4, -6, -8, 36, -2, 0, 4, -20, 6, -12, 14, -26, 0, -34, -1, 24, 28, 8, -14, 0, 12, -10, 0, 16, -30, 64, 0, 4, 12, 24, -16, 48, 1, 0, 3, -14, 22, -2, 5, 24, 0, 1, 6, 8, 2, -30, -16, 0, -40, -16, -6, -4, 6, 4, 0, 0, -24, 10, -22, 4, 8, 0, -1, 0, -8, -4, -2, 0, 0, -42, -36, -32, -12, -10, -16, 0, -16, 2, 24, -12, 17, 30, 0, 18, 14, -6, 4, 8, -54, 0, -6, 24, 1, 0, 16, 2, 0, -2, 12, 4, -6, 24, 16, 0, 12, -2, 14, 6, -8, -46, 0, -16, -5, -10, 30, 24, -4, 0, 8, 14, -18, 42, 1, -20, 0, -8, -24, 20, -2, -16, -38, 0, 6, 22, -6, -24, 24, -4, 0, -12, -8, 34, 4, 10, -7, 0, 20, 16, -16, -8, 20, -16, 0, -25, 10, 22, -20, -1, -8, 0, -6, -20, 2, 48, 0, 42, 0, -4, 36, -10, -4, 4, -4, 0, -8, -40, 5, -2, 18, 13, 0, 64, 2, 4, -6, -18, -32, 0, 6, -50, -24, 6, 4, 14, 0, 36, -2, 12, 4, -24, -18, 0, -10, 4, -24, 32, -10, 12, 0, 8, -18, -16, -1, -12, -24, 0, 6, 22, 0, -4, 12, -6, 0, 32, 4, 16, -26, 2, 22, 0, -2, -40, -24, -4, -18, 0, 0, 6, -8, 8, 10, -18, -8, 0, -26, 24, 4, 8, -3, 22, 0, 26, 8, -46, 2, 48, -12, 0, 16, 12, 16, -6, -4, -30, 0, 10, -6, -16, 24, 8, 8, 0, 7, 33, 6, 12, -14, 14, 0, -16, 15, 8, -18, 36, 1, 0, -16, 1, -2, -30, -20, -40, 0, -2, 20, 0, -18, -6, -4, 0, 4, -32, 4, 0, -40, -20, 0, -8, 4, -38, -28, -6, -3, 0, -16, -24, -4, -4, 24, 24, 0, 50, -6, 14, -32, -6, 1, 0, -48, 2, 30, -28, 2, -14, 0, -32, 23, 6, 4, -16, 18, 0, 8, -24, 12, -38, -32, -8, 0, -4, 2, 32, -1, 4, -22, 0, 2, -16, -20, 14, 36, 6, 0, 20, 24, -1, 16, -20, 20, 0, -41, -14, 6, 38, -12, 8, 0, 0, 6, -72, -10, -46, 12, 0, 4, -12, -12, -4, 14, -16, 0, -4, 3, 64, -14, 3, -8, 0, -22, -8, -14, 5, -2, -36, 0, -26, -36, 6, -18, 6, -2, 0, -4, -16, 8, 24, 8, -2, 0, -6, 10, 10, -6, -24, 60, 0, 18, -24, -8, 30, -4, -22, 0, 48, -8, -28, 22, -1, 4, 0, -24, -22, 2, -2, -20, 32, 0, 12, 0, -36, 38, 8, -4, 0, -44, -16, -12, 22, 16, 48, 0, 24, -8, -8, 3, -2, 18, 0, 13, 10, -14, 8, 6, 4, 0, 20, -18, -26, -24, -6, -6, 0, -1, -12, 6, 16, -12, 8, 0, 48, -32, 12, 12, 66, 6, 0, -30, 16, -30, -12, 4, -12, 0, 14, -30, -58, 8, 24, 8, 0, -40, -8, 1, 18, -38, 30, 0, -14, 4, 0, 0, 8, 5, 0, -6, 62, 32, 1, 28, -18, 0, 48, 2, -24, 8, -40, -6, 0, -6, -38, -4, 14, -6, 48, 0, -6, 38, 4, 8, 42, 4, 0, -24, -12, 8, 8, 24, 4, 0, 8, -5, 30, -1, 20, 26, 0, 16, -4, 6, 20, 12, 28, 0, 18, 0, 10, -16, -32, 20, 0, -30, -8, -16, 48, -18, -16, 0, 2, 8, 18, 0, -56, 17, 0, 30, -28, 12, 18, 28, -4, 0, -6, 4, 4, 8, -8, 24, 0, -1, -14, -48, 18, 1, 42, 0, 56, -60, 2, -30, 12, -2, 0, 12, -32, -30, 6, -6, 24, 0, -24, -36, 0, 12, 22, 38, 0, -20, 6, 2, -48, -4, 4, 0, -24, -6, -32, 16, -10, -48, 0, 24, -8, -4, -10, -8, -32, 0, 14, -34, -18, 14, 0, 1, 0, 3, -24, -10, -8, 2, 96, 0, 0, -2, -18, -12, -16, -32, 0, -4, 48, 12, -1, -6, -26, 0, 30, -22, -4, 20, -2, 6, 0, -8, 38, -36, -18, 6, 10, 0, 24, 4, -8, 20, -12, -2, 0, 12, -8, 14, -64, 26, 32, 0, 4, 34, 16, -1, 22, -24, 0, 12, -46, -8, -8, -14, 2, 0, -20, -36, 2, 10, 16, 0, 0, -16, 24, 10, -4, -64, -68, 0, -10, -4, -6, -36, -42, -24, 0, -16, 8, -48, -48, 5, 48, 0, 6, 3, 13, 14, -56, -66, 0, 2, 4, 5, 46, -24, -18, 0, 64, -1, -20, 6, -16, -8, 0, -6, 6, 30, -20, -16, -2, 0, -40, 56, 20, 16, 12, -6, 0, 4, -4, -18, 42, -4, 20, 0, 4, 0, -40, 8, 14, -10, 0, -22, 54, -4, 8, -24, -28, 0, -4, -1, 64, 0, -16, -40, 0, 4, -24, -2, 24, 0, 40, 0, 20, 42, -6, -36, 36, 32, 0, 4, 1, 10, 60, -16, 2, 0, 30, 48, 80, -2, 20, 24, 0, 12, -4, -11, -12, -30, 4, 0, -32, -18, 24, -42, 8, 6, 0, 4, -34, -8, -32, 18, -34, 0, 24, -6, 2, -24, 72, -3, 0, 0, -22, 16, 26, -2, 8, 0, -20, 2, -60, 12, -5, -4, 0, 18, 16, -24, 20, 16, 16, 0, -64, -4, -30, 2, -41, 14, 0, -6, -24, 24, -12, 46, 8, 0, -2, 16, 6, 7, -50, 10, 0, 30, 12, -24, -16, 12, -74, 0, -12, 8, 34, -14, 8, 6, 0, -42, -52, 1, -42, 20, -14, 0, 1, 8, -20, -24, -22, -20, 0, -10, 0, 16, -2, -38, 42, 0, -40, -18, -36, -22, 48, -6, 0, 24, -2, -8, 36, 4, 16, 0, 8, 12, -20, 24, 22, -34, 0, 4, 0, -10, -80, -3, -6, 0, -60, 20, 42, -16, 18, 48, 0, 8, -4, 20, -4, 16, 48, 0, -5, 25, -8, 10, 14, -22, 0, 60, 4, 1, -40, -8, 34, 0, 2, -30, 14, 20, -4, 2, 0, -48, -12, 0, -32, -42, 38, 0, 78, 4, -24, -12, -44, 10, 0, -4, 12, -4, 16, 12, -10, 0, 4, -8, -8, 40, 8, -7, 0, 2, 18, 18, -74, -13, 4, 0, -14, -64, 48, 2, 18, -4, 0, 2, 14, 18, -20, -32, -24, 0, -16, -18, 22, 50, -1, -24, 0, -6, -16, 20, -12, -14, -24, 0, -14, -36, -32, 6, -4, -12, 0, 4, 6, 24, 0, 6, -50, 0, -30, -10, 6, -4, 0, 72, 0, -32, -60, -10, -18, -12, 8, 0, -80, -8, -16, -18, -40, 16, 0, 3, 74, 12, -38, -24, 3, 0, -20, -2, 4, -22, 44, 0, 0, 4, 5, -36, 128, 6, -24, 0, 32, -32, -64, 20, 6, -16, 0, -26, 96, -2, -16, -66, 8, 0, -16, -2, -64, 40, -6, 8, 0, 4, -72, -18, -6, 0, -24, 0, -27, -6, 38, -8, 4, -8, 0, -14, 4, 18, 4, -8, 42, 0, 8, 78, -22, -24, -20, 4, 0, -8, 16, 1, -14, -22, -1, 0, 22, -26, -64, -24, 16, 46, 0, 2, -2, -48, 12, -60, 62, 0, 16, 16, 0, -12, -36, -48, 0, 6, 20, -4, -18, 30, 8, 0, -16, -10, 12, -6, 32, 16, 0, -72, -22, -8, 24, 8, 0, 0, -24, 3, -4, -33, 30, 6, 0, -12, 48, 42, 28, -14, 60, 0, 46, 16, 4, -5, 10, -8, 0, -18, 24, -36, 8, -3, -6, 0, -48, -16, -30, -1, 64, -10, 0, 30, 16, -20, 32, 40, -30, 0, 36, 2, 0, 20, 12, 0, 0, 6, -48, 6, -6, -4, -6, 0, 16, -12, -36, 32, 20, 4, 0, 0, 38, 56, 14, 20, -76, 0, 2, 8, -88, -12, -42, 38, 0, -28, 14, 6, 64, 1, 16, 0, 52, -16, 30, 24, 24, 12, 0, 4, 28, 24, -8, -24, 8, 0, 50, -50, -34, -6, -32, -14, 0, 96, 1, 6, -4, 1, 18, 0, -10, 16, 48, -2, -24, 30, 0, 28, 0, -6, -2, 14, -12, 0, -38, 32, -80, -45, -4, -6, 0, 4, -26, 16, -6, -54, -10, 0, 0, 8, -22, 24, -48, -4, 0, 38, 6, -32, 22, 8, -8, 0, -36, 4, 4, 2, -32, -32, 0, -5, -62, -4, 36, -22, 20, 0, -48, -6, -42, 16, 12, -20, 0, -14, 20, -12, 26, -6, -60, 0, 64, -20, 34, -72, 10, 1, 0, 16, -24, 20, -8, -28, 46, 0, -8, -41, -12, 14, 20, -18, 0, -38, -56, -12, 2, -8, 10, 0, 18, 0, -4, 6, -16, 72, 0, 30, 10, 46, -64, 12, -30, 0, -8, 20, -4, 12, 8, -12, 0, 4, -24, -42, -38, 16, -8, 0, -48, 4, 32, -1, -50, -64, 0, -14, 18, -3, 24, 24, 14, 0, 16, -22, 36, 8, 2, -6, 0, -5, -36, -2, -24, 36, 72, 0, -32, 26, -1, -36, 32, -6, 0, 6, -8, -6, -24, -2, -1, 0, 30, 12, 0, 16, 76, 8, 0, -24, -48, 40, 17, 2, 16, 0, -42, 6, 4, -30, 4, -10, 0, -6, -2, 24, -4, -20, -10, 0, -24, 18, 0, 24, -144, 24, 0, -30, -10, -4, -50, 22, 32, 0, -4, -48, -60, -8, -18, 28, 0, -66, -2, 1, 84, 4, 0, 0, -24, 8, 12, 22, 4, 2, 0, 2, 48, 60, 0, -32, -36, 0, 46, -12, 42, 0, 14, 36, 0, 38, 32, -8, -24, 12, -10, 0, 10, -44, -26, 16, 32, 4, 0, -22, -32, 16, 22, -48, -2, 0, 42, -24, 20, -8, 12, 8, 0, -17, -18, 2, -30, 18, -70, 0, -40, -39, -18, -10, -8, -14, 0, -8, 6, -2, 80, -4, -48, 0, -8, -20, 12, 54, 12, 26, 0, -24, -66, 6, 4, -30, -24, 0, -60, -1, 90, 12, 0, -18, 0, -16, 20, -12, -2, -8, 72, 0, 22, -48, 2, -32, -6, -12, 0, -36, -4, -66, -40, 6, 16, 0, -24, 42, 64, -16, -76, -30, 0, 12, -4, -12, 58, 12, 2, 0, -50, -14, 32, 10, -6, 58, 0, 8, -10, -24, 46, -24, -10, 0, 8, -40, 16, 8, 56, 5, 0, -18, 10, -38, 6, -30, -8, 0, -24, 14, -20, 4, -64, 0, 0, 0, 2, -8, 72, 5, -14, 0, 48, 18, -18, -62, -42, 32, 0, -1, 8, 12, 20, 18, -16, 0, -26, -48, 8, -6, 54, 24, 0, 8, -20, 40, -16, 2, 128, 0, 16, -6, 96, 38, 20, 12, 0, -14, 36, -6, 96, -48, -22, 0, -4, 6, 44, 38, 24, -4, 0, -24, -54, -42, 4, 4, 82, 0, -24, 8, 12, 12, -16, 8, 0, -8, -34, -72, 48, -4, 48, 0, -10, -8, -28, 7, -48, -30, 0, -1, 12, -20, 32, -78, -16, 0, -16, 16, 14, 4, 8, -2, 0, -20, 24, 12, 16, -28, -88, 0, -38, -18, 25, 0, -6, -10, 0, -80, -22, 32, -12, 20, 20, 0, 1, 90, -48, 8, 4, -16, 0, -48, 56, 6, 30, 16, 20, 0, -42, -2, 40, -24, -48, -18, 0, 0, -34, 56, -42, -11, -6, 0, 104, 30, 4, 28, 0, -36, 0, -18, 10, 28, 32, 4, 8, 0, -4, 6, 36, 4, 20, -4, 0, -24, -32, 8, -8, 24, 40, 0, 64, -5, -50, 14, 2, -48, 0, -18, 16, -3, -13, -42, -24, 0, -22, -56, -64, 20, -50, -2, 0, -30, -4, -12, -20, 6, 38, 0, 18, 12, -30, 32, -8, 42, 0, -6, 0, -6, -96, -24, 50, 0, 58, 24, 16, -36, -6, 0, 0, -4, 80, -22, -14, 38, -41, 0, 16, 60, -36, -6, 56, 2, 0, 48, -12, -20, 50, -4, -60, 0, 24, 24, 80, 18, 6, 32, 0, 16, -4, 10, 40, 16, -4, 0, 12, 24, -22, 8, -32, 12, 0, 10, -12, -8, -12, 32, 96, 0, -30, -14, -8, -34, -6, 18, 0, -42, 16, 0, -28, 1, 36, 0, 12, -1, -14, 24, -52, -10, 0, 8, 32, -6, -70, -96, -22, 0, -16, 0, 8, -10, 4, 18, 0, -12, -2, 16, 6, 96, -74, 0, -52, -4, -32, -48, -36, -4, 0, 1, -16, -6, 86, 26, -20, 0, -2, -30, -24, -22, -46, 4, 0, -28, -46, 2, 8, 6, 40, 0, -80, 24, 16, -38, 4, -36, 0, 18, 8, -2, 0, -10, 40, 0, 96, -24, -6, -12, -10, 8, 0, 20, -8, 12, 40, -10, 18, 0, 18, 12, -70, 8, -40, -42, 0, 64, -4, 26, -82, -32, -24, 0, -62, -4, 4, 34, -8, -16, 0, 3, -17, -22, -22, -24, 36, 0, 4, -68, -26, 46, 36, -8, 0, 8, 46, 42, 2, -2, -72, 0, -48, 20, -40, 12, 14, -2, 0, 10, 6, -16, 32, 0, -12, 0, 60, -16, 38, -24, 6, 50, 0, 4, -44, -64, 30, 68, -44, 0, -22, 10, -10, -4, 50, 6, 0, 12, 16, 42, 16, -24, 0, 0, -8, 48, -2, -8, -8, -48, 0, 48, 24, -7, 16, -48, -33, 0, 18, -6, 56, -9, -12, -13, 0, 14, -96, 56, -14, 22, 30, 0, -24, 2, 16, -4, 24, -15, 0, -46, -8, -24, -2, 18, 0, 0, -36, -64, -24, -1, 26, 20, 0, -18, -128, 16, 96, -8, -1, 0, 40, 2, 12, -6, 30, 30, 0, 20, -12, 48, 40, 2, -108, 0, -4, 40, 2, 24, -32, -20, 0, 16, 0, -12, 12, 18, 70, 0, 6, 4, 18, 4, -56, 6, 0, -42, 4, -4, -30, -20, 32, 0, 10, -4, -52, 0, 0, 40, 0, 40, 22, -14, 20, -10, 32, 0, 8, 66, 8, -54, -16, -4, 0, -8, 38, 8, 36, 28, -40, 0, 6, 4, -40, 3, 70, -64, 0, 0, -38, 16, -144, 56, 24, 0, -36, 4, 96, 24, 4, 6, 0, -24, -52, 0, -24, -40, -88, 0, 5, -20, -50, 42, -26, 6, 0, 108, -14, -36, 32, 32, 2, 0, 6, 20, -34, -1, 24, 10, 0, -60, -40, 48, -54, -2, -2, 0, 0, -30, 8, -16, 28, -80, 0, -2, -90, -20, 14, -72, -6, 0, -84, 12, 32, 4, 24, -23, 0, 12, -6, -30, 44, -4, -16, 0, 16, 32, 44, -18, 38, -24, 0, 14, -30, -8, -88, 6, 24, 0, 4, -12, -80, 34, 38, -8, 0, 32, -24, 90, 8, 34, 24, 0, -10, -24, 4, 18, 80, -2, 0, -24, -32, -72, 80, 1, -50, 0, -4, 0, -1, 22, 72, -48, 0, -26, -48, -2, -14, -8, 16, 0, -78], "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": "195.2.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], [-1], [-1], [-1], [1], [0], [3], [1], [1], [4], [1], [-1], [0], [1], [-1], [-2], [-1], [4], [1], [0], [-4], [8], [-3], [1], [1], [-1], [0], [-2], [-1], [8], [-5], [-4], [2], [0], [-1], [6], [-4], [1], [-3], [6], [0], [-4], [-4], [-1], [-8], [8], [1], [0], [-1], [2], [1], [6], [1], [-4], [0], [-4], [2], [12], [-1], [2], [-8], [0], [7], [1], [4], [-4], [2], [-8], [0], [0], [3], [6], [-6], [-1], [-4], [0], [-1], [16], [1], [1], [-6], [4], [0], [2], [4], [2], [12], [-10], [1], [0], [-8], [-8], [-8], [-4], [5], [-18], [0], [4], [-1]]}