# Stored data for newform 8550.2.a.l, downloaded from the LMFDB on 25 April 2024.
{"label": "8550.2.a.l", "space_label": "8550.2.a", "level": 8550, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934638438, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1022147225265401649, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [-1, 1]], [11, [0, 1]], [13, [-3, 1]], [17, [7, 1]], [23, [5, 1]], [53, [-9, 1]]], "qexp_display": "q-q^{2}+q^{4}+q^{7}-q^{8}+3q^{13}-q^{14}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 34200, "fricke_eigenval": -1, "atkin_lehner_string": "+-++", "analytic_conductor": 68.27209372819473, "hecke_ring_index": 1, "level_radical": 570, "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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [8550, 1, [1901, 1027, 1351], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 19], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.016", "prec": 17}, {"__RealLiteral__": 0, "data": "0.980", "prec": 17}, {"__RealLiteral__": 0, "data": "0.037", "prec": 17}, {"__RealLiteral__": 0, "data": "1.929", "prec": 17}, {"__RealLiteral__": 0, "data": "0.131", "prec": 17}, {"__RealLiteral__": 0, "data": "4.803", "prec": 17}], "related_objects": ["EllipticCurve/Q/8550/l"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, 1], [19, 1]], "trace_display": [-1, 0, 0, 1], "traces": [0, 1, -1, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, 3, -1, 0, 1, -7, 0, -1, 0, 0, 0, -5, 0, 0, -3, 0, 1, 5, 0, 10, -1, 0, 7, 0, 0, -2, 1, 0, 0, -2, 0, -6, 0, 0, 5, 0, 0, -6, 0, 0, 3, 9, 0, 0, -1, 0, -5, 7, 0, -4, -10, 0, 1, 0, 0, -7, -7, 0, 0, 0, 0, 9, 2, 0, -1, 0, 0, -10, 0, 0, 2, -2, 0, 0, 6, 0, 0, 10, 0, 3, -5, 0, 0, 0, 0, 18, 6, 0, 0, 4, 0, 0, -3, 0, -9, 9, 0, 13, 0, 0, 1, 8, 0, 0, 5, 0, -7, -7, 0, -11, 4, 0, 10, 0, 0, 6, -1, 0, 0, 20, 0, -1, 7, 0, 7, -3, 0, 12, 0, 0, 0, 0, 0, 0, -9, 0, -2, -4, 0, -6, 1, 0, 0, 0, 0, -18, 10, 0, 0, -5, 0, 18, -2, 0, 2, 14, 0, -4, 0, 0, -6, 6, 0, 0, 0, 0, -10, -24, 0, -10, -3, 0, 5, 0, 0, 0, 0, 0, 0, 7, 0, 2, -18, 0, -6, -10, 0, 17, 0, 0, -4, 5, 0, 0, 0, 0, 3, 0, 0, 5, 9, 0, -9, 0, 0, 10, -13, 0, 0, -21, 0, 22, -1, 0, -8, -25, 0, -18, 0, 0, -5, 26, 0, 0, 7, 0, 7, 27, 0, -28, 11, 0, -4, 0, 0, -3, -10, 0, 0, -4, 0, 0, -6, 0, 1, -6, 0, -2, 0, 0, -20, -8, 0, 0, 1, 0, -7, 10, 0, 5, -7, 0, 3, 0, 0, -28, -12, 0, 0, 26, 0, 26, 0, 0, 0, -2, 0, 32, 0, 0, 9, 31, 0, 0, 2, 0, 4, -15, 0, -6, 6, 0, -1, 0, 0, -4, 0, 0, 0, -33, 0, 29, 18, 0, -10, 3, 0, 0, 0, 0, 5, 7, 0, 0, -18, 0, 2, 0, 0, -17, -2, 0, -14, 0, 0, 14, 4, 0, 0, 0, 0, -13, 6, 0, -6, -18, 0, 10, 0, 0, 0, 27, 0, 0, 10, 0, 24, -27, 0, 1, 10, 0, 3, 0, 0, -8, -5, 0, 0, 9, 0, -3, 0, 0, 0, 15, 0, -7, 0, 0, -7, 0, 0, 0, -2, 0, 18, -24, 0, 35, 6, 0, 10, 0, 0, 20, -17, 0, 0, -18, 0, 30, 4, 0, -5, 0, 0, 26, 0, 0, 0, 7, 0, 0, -3, 0, 0, 26, 0, 31, -5, 0, -9, 0, 0, -4, 9, 0, 0, -12, 0, -12, -10, 0, 13, 5, 0, 10, 0, 0, 21, 24, 0, 0, -22, 0, 1, -14, 0, 0, 8, 0, 25, 0, 0, 41, 18, 0, 0, 10, 0, -16, 5, 0, -26, -8, 0, -7, 0, 0, -7, 0, 0, 0, -7, 0, -27, 24, 0, -6, 28, 0, -11, 0, 0, 2, 4, 0, 0, -14, 0, -35, 3, 0, 10, 0, 0, 42, 0, 0, 4, -17, 0, 0, 0, 0, 6, 42, 0, 9, -1, 0, 6, 0, 0, 0, 2, 0, 0, 0, 0, 19, 20, 0, 8, -70, 0, 2, 0, 0, -1, -6, 0, 0, 7, 0, -10, 0, 0, -28, -5, 0, 7, 0, 0, 20, -3, 0, 0, -5, 0, -10, 28, 0, 12, 8, 0, -18, 0, 0, -26, -44, 0, 0, -26, 0, 0, 8, 0, 10, 0, 0, 2, 0, 0, 11, -32, 0, 0, -2, 0, 0, -9, 0, -31, 30, 0, -10, 0, 0, -2, -34, 0, 0, -4, 0, 15, -30, 0, -10, 6, 0, -6, 0, 0, -22, 1, 0, 0, 0, 0, 16, 4, 0, 0, -2, 0, -8, 0, 0, 33, 10, 0, 0, -29, 0, -18, 14, 0, 0, 10, 0, -3, 0, 0, -18, 0, 0, 0, 12, 0, 2, -5, 0, -7, -9, 0, 0, 0, 0, 18, -12, 0, 0, -2, 0, 0, -15, 0, 17, 17, 0, 2, 0, 0, -25, 14, 0, 0, 0, 0, 28, -14, 0, -4, 19, 0, 18, 0, 0, 0, 36, 0, 0, 13, 0, -6, 27, 0, 10, 6, 0, 18, 0, 0, 14, -10, 0, 0, -24, 0, 2, 0, 0, -27, 4, 0, -34, 0, 0, -10, -50, 0, 0, -24, 0, 27, -29, 0, 0, -1, 0, -10, 0, 0, -11, -3, 0, 0, 42, 0, -24, 8, 0, 5, 0, 0, 50, 0, 0, -9, 34, 0, 0, 3, 0, 0, 9, 0, 46, 0, 0, -15, 0, 0, -22, 7, 0, 0, 45, 0, 13, 7, 0, 0, 21, 0, 49, 0, 0, 2, 15, 0, 0, -18, 0, 24, 2, 0, 0, -35, 0, -6, 0, 0, -11, -10, 0, 0, 8, 0, -12, -20, 0, 17, 5, 0, 0, 0, 0, 18, 0, 0, 0, -30, 0, -4, 39, 0, 11, 5, 0, 0, 0, 0, 6, -26, 0, 0, 56, 0, 31, 0, 0, -7, -9, 0, -51, 0, 0, 3, 42, 0, 0, 0, 0, -26, 48, 0, -4, -31, 0, 5, 0, 0, -11, 9, 0, 0, 10, 0, 46, 4, 0, -9, 24, 0, 56, 0, 0, 12, 24, 0, 0, 12, 0, 10, 0, 0, -21, -13, 0, -5, 0, 0, 5, -10, 0, 0, -2, 0, -26, -21, 0, -24, 52, 0, 6, 0, 0, 22, 0, 0, 0, -1, 0, 14, 50, 0, -63, 0, 0, -8, 0, 0, -5, -25, 0, 0, 32, 0, 0, -41, 0, -18, 20, 0, 11, 0, 0, -10, 0, 0, 0, 16, 0, -5, -21, 0, 6, 26, 0, 8, 0, 0, 13, 7, 0, 0, 37, 0, 10, 7, 0, 0, -28, 0, 27, 0, 0, 7, 44, 0, 0, 27, 0, -24, -3, 0, 69, 6, 0, -28, 0, 0, -12, 11, 0, 0, -36, 0, 12, -2, 0, -4, -18, 0, 0, 0, 0, 14, -18, 0, 0, 35, 0, -3, 30, 0, -46, -10, 0, 0, 0, 0, -14, -42, 0, 0, 0, 0, -49, -4, 0, 17, -9, 0, -48, 0, 0, 0, -62, 0, 0, -6, 0, -42, -15, 0, 27, -9, 0, 1, 0, 0, -30, -6, 0, 0, 24, 0, 23, 0, 0, -2, 28, 0, -38, 0, 0, 0, -4, 0, 0, -19, 0, -20, -30, 0, -10, -8, 0, 70, 0, 0, -6, -2, 0, 0, 18, 0, -54, 1, 0, 6, 0, 0, -34, 0, 0, -7, -10, 0, 0, 10, 0, 0, -6, 0, 0, 28, 0, 5, 0, 0, -25, -7, 0, 0, -7, 0, -10, -20, 0, 3, 16, 0, -18, 0, 0, 5, 3, 0, 0, 10, 0, -28, 26, 0, 0, -12, 0, -8, 0, 0, 41, 18, 0, 0, -7, 0, -12, 26, 0, 44, 30, 0, 36, 0, 0, 26, 0, 0, 0, 0, 0, -8, 49, 0, 18, -10, 0, 0, 0, 0, -20, -2, 0, 0, 63, 0, -8, -11, 0, 32, 30, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, 9, 14, 0, -52, 31, 0, -30, 0, 0, 0, 10, 0, 0, -25, 0, -4, 2, 0, 34, -24, 0, -10, 0, 0, 4, 38, 0, 0, -15, 0, 30, 0, 0, 25, 10, 0, -6, 0, 0, 0, 6, 0, 0, 6, 0, 44, 22, 0, -1, -7, 0, -45, 0, 0, 0, -27, 0, 0, -16, 0, -4, 2, 0, 16, 0, 0, 2, 0, 0, -41, 8, 0, 0, -63, 0, 0, -33, 0, -10, -30, 0, -2, 0, 0, 29, -24, 0, 0, 18, 0, -14, -30, 0, 54, 0, 0, -10, 0, 0, -10, 3, 0, 0, -20, 0, 7, 18, 0, 0, -36, 0, 69, 0, 0, -12, -65, 0, 0, -2, 0, 5, -49, 0, -27, 7, 0, 9, 0, 0, 33, 0, 0, 0, 12, 0, -16, -18, 0, 12, 29, 0, 0, 0, 0, 2, 12, 0, 0, 0, 0, 15, 46, 0, -12, -17, 0, -17, 0, 0, 65, -2, 0, 0, 0, 0, -60, 25, 0, -14, 7, 0, 0, 0, 0, 0, 70, 0, 0, -28, 0, 14, 0, 0, 2, 4, 0, -19, 0, 0, -35, -18, 0, 0, -38, 0, 0, 0, 0, -36, -34, 0, -33, 0, 0, -13, 6, 0, 0, 6, 0, -27, -10, 0, 62, -10, 0, -6, 0, 0, -9, -18, 0, 0, 27, 0, 17, -14, 0, 10, 0, 0, -26, 0, 0, 24, 20, 0, 0, -2, 0, 0, -36, 0, 14, 27, 0, -4, 0, 0, 39, 34, 0, 0, -30, 0, 65, 10, 0, 50, -23, 0, -10, 0, 0, 24, -34, 0, 0, -27, 0, 29, -40, 0, 0, 0, 0, 1, 0, 0, -28, 10, 0, 0, 22, 0, 32, 11, 0, 3, 0, 0, -35, 0, 0, -42, 0, 0, 0, 24, 0, -8, 24, 0, -44, -5, 0, 0, 0, 0, 5, -50, 0, 0, -42, 0, -46, 9, 0, -34, -3, 0, -14, 0, 0, -3, -22, 0, 0, 0, 0, -9, -42, 0, 10, -46, 0, 0, 0, 0, 0, 15, 0, 0, -66, 0, -70, 22, 0, -7, 4, 0, -60, 0, 0, -45, -12, 0, 0, -13, 0, -7, 0, 0, -8, 0, 0, -21, 0, 0, 45, -49, 0, 0, 35, 0, 11, -2, 0, -15, -21, 0, 11, 0, 0, 18, 18, 0, 0, -24, 0, -2, -72, 0, 22, 0, 0, 35, 0, 0, 72, 6, 0, 0, 32, 0, -33, 11, 0, 10, 2, 0, -40, 0, 0, -8, 11, 0, 0, 12, 0, 20, -25, 0, 12, -17, 0, -5, 0, 0, 56, 0, 0, 0, -15, 0, -18, -18, 0, 0, -73, 0, 20, 0, 0, 30, -22, 0, 0, 4, 0, -39, -20, 0, 10, -11, 0, -5, 0, 0, 68, 0, 0, 0, 26, 0, 0, -6, 0, 26, 6, 0, 0, 0, 0, -56, 90, 0, 0, -31, 0, 0, -126, 0, 18, 7, 0, 9, 0, 0, -58, 51, 0, 0, 0, 0, -58, -3, 0, -42, 36, 0, -30, 0, 0, 0, 27, 0, 0, 26, 0, -48, -45, 0, -37, 4, 0, 31, 0, 0, -28, -5, 0, 0, -10, 0, 47, 11, 0, -9, 14, 0, -31, 0, 0, -10, 60, 0, 0, -46, 0, -4, 59, 0, 35, 9, 0, -24, 0, 0, -28, -56, 0, 0, 29, 0, 31, -12, 0, -24, 0, 0, -3, 0, 0, -12, -24, 0, 0, -10, 0, 0, 0, 0, 55, 21, 0, 13, 0, 0, -13, 5, 0, 0, 0, 0, 21, -5, 0, 10, -4, 0, -5, 0, 0, 2, 12, 0, 0, 26, 0, 21, -20, 0, 0, 24, 0, -52, 0, 0, -12, -6, 0, 0, -9, 0, -49, -22, 0, 0, -48, 0, 51, 0, 0, 1, 0, 0, 0, -14, 0, -50, -6, 0, -60, 63, 0, 0, 0, 0, 36, 8, 0, 0, -60, 0, 12, 5, 0, 25, 50, 0, -63, 0, 0, -32, -2, 0, 0, 0, 0, 41, 70, 0, -39, 18, 0, -20, 0, 0, 0, -11, 0, 0, -8, 0, -18, 10, 0, 0, -21, 0, -7, 0, 0, -16, -91, 0, 0, 5, 0, 21, 0, 0, -65, -6, 0, -26, 0, 0, 52, -8, 0, 0, 36, 0, 25, -13, 0, -7, 10, 0, -61, 0, 0, -37, 10, 0, 0, -10, 0, -7, 2, 0, -40, 0, 0, 28, 0, 0, 5, -27, 0, 0, 80, 0, 0, -7, 0, -44, -8, 0, 10, 0, 0, -27, 12, 0, 0, 24, 0, 3, -4, 0, -56, -69, 0, -6, 0, 0, 0, 28, 0, 0, -4, 0, -46, 12, 0, -11, -12, 0, -28, 0, 0, 36, -35, 0, 0, -12, 0, 2, 46, 0, -30, 4, 0, 18, 0, 0, 0, 0, 0, 0, -18, 0, -18, -14, 0, 18, 26, 0, 0, 0, 0, -35, 22, 0, 0, 3, 0, -30, 5, 0, 26, 46, 0, 10, 0, 0, 12, 0, 0, 0, 0, 0, -34, 14, 0, 42, 23, 0, -51, 0, 0, 0, 71, 0, 0, 49, 0, 4, 12, 0, -66, -17, 0, 9, 0, 0, 26, 48, 0, 0, 0, 0, 32, 0, 0, 62, 47, 0, 37, 0, 0, 6, -9, 0, 0, 42, 0, 15, -72, 0, -54, -27, 0, 9, 0, 0, -50, -1, 0, 0, 31, 0, -12, 30, 0, 6, 77, 0, 0, 0, 0, -24, -8, 0, 0, -23, 0, 0, 0, 0, -13, 2, 0, -28, 0, 0, -70, 38, 0, 0, -12, 0, 76, 0, 0, 4, -76, 0, 22, 0, 0, 19, -15, 0, 0, 20, 0, 30, -30, 0, 0, 10, 0, 8, 0, 0, 36, -70, 0, 0, 24, 0, -37, 6, 0, 2, 45, 0, 54, 0, 0, -18, 0, 0, 0, 54, 0, -1, 18, 0, 55, -6, 0, 0, 0, 0, 43, 34, 0, 0, -39, 0, -32, 7, 0, 10, -8, 0, -4, 0, 0, -10, -43, 0, 0, 0, 0, 6, -42, 0, 0, 0, 0, -28, 0, 0, 0, -5, 0, 0, 42, 0, -18, 25, 0, 7, -33, 0, -7, 0, 0, 7, -14, 0, 0, 10, 0, 20, 0, 0, 29, -3, 0, -16, 0, 0, -51, 18, 0, 0, 0, 0, -45, -5, 0, -3, -22, 0, -47, 0, 0, -10, 54, 0, 0, 28, 0, -26, 3, 0, 24, 0, 0, 12, 0, 0, -140, 8, 0, 0, -90, 0, 0, -41, 0, -18, 75, 0, 29, 0, 0, 7, 30, 0, 0, 12, 0, -26, 18, 0, 50, -44, 0, -30, 0, 0, 8, -36, 0, 0, 7, 0, 90, -26, 0, 0, -62, 0, 41, 0, 0, 0, -72, 0, 0, 8, 0, -49, -54, 0, 39, -18, 0, 10, 0, 0, -73, 0, 0, 0, -50, 0, -27, 20, 0, 2, 33, 0, 11, 0, 0, -63, 0, 0, 0, 8, 0, 11, 13, 0, 30, -32, 0, -30, 0, 0, -17, -4, 0, 0, 0, 0, -20, -2, 0, 0, -72, 0, 21, 0, 0, 0, 17, 0, 0, -9, 0, -14, -24, 0, 10, 52, 0, -31, 0, 0, 31, 30, 0, 0, 60, 0, -30, 0, 0, -10, -40, 0, 14, 0, 0, 25, -84, 0, 0, 4, 0, -2, 0, 0, 4, -34, 0, 24, 0, 0, -16, 10, 0, 0, 44, 0, -52, -4, 0, -38, 0, 0, 10, 0, 0, 15, -40, 0, 0, -30, 0, 0, -33, 0, 29, -25, 0, -10, 0, 0, -10, 6, 0, 0, 8, 0, -6, 0, 0, -6, -79, 0, -14, 0, 0, -6, 38, 0, 0, -44, 0, -22, -18, 0, 0, 1, 0, 7, 0, 0, -54, 45, 0, 0, -42, 0, 10, 0, 0, 27, 28, 0, -100, 0, 0, 16, 0, 0, 0, 4, 0, -2, -57, 0, -45, -16, 0, 0, 0, 0, -56, -2, 0, 0, 27, 0, 78, 41, 0, -8, -22, 0, 14, 0, 0, 63, 21, 0, 0, 0, 0, 33, -20, 0, 0, 10, 0, 30, 0, 0, 0, 2, 0, 0, 8, 0, 12, -29, 0, 24, -65, 0, 6, 0, 0, -18, -27, 0, 0, 14, 0, 30, 0, 0, 30, -54, 0, 0, 0, 0, 1, 10, 0, 0, 34, 0, 28, 10, 0, -3, -42, 0, -37, 0, 0, 20, -73, 0, 0, -7, 0, -18, -55, 0, 32, 0, 0, 36, 0, 0, -76, -69, 0, 0, -30, 0, 0, 12, 0, 65, 42, 0, -8, 0, 0, 2, -20, 0, 0, -5, 0, 49, 21, 0, 50, 27, 0, -7, 0, 0, 51, -9, 0, 0, -88, 0, -58, -33, 0, 0, -54, 0, -40, 0, 0, -12, 3, 0, 0, 16, 0, 18, -9, 0, -3, -12, 0, -29, 0, 0, 58, 0, 0, 0, 18, 0, 24, -2, 0, -12, 0, 0, 0, 0, 0, 0, -50, 0, 0, -15, 0, -46, 15, 0, -12, 12, 0, 17, 0, 0, 43, 17, 0, 0, 0, 0, -7, -65, 0, 2, 18, 0, -27, 0, 0, 0, -90, 0, 0, 60, 0, -25, 126, 0, -21, 14, 0, -7, 0, 0, 46, 0, 0, 0, 0, 0, -58, 0, 0, -70, -12, 0, -2, 0, 0, 28, -25, 0, 0, -14, 0, 0, -66, 0, -18, -2, 0, -4, 0, 0, -28, 19, 0, 0, 26, 0, 6, 35, 0, 18, 0, 0, -66, 0, 0, 38, -24, 0, 0, 0, 0, 0, 88, 0, 52, 36, 0, 34, 0, 0, 35, 33, 0, 0, 30, 0, 15, 13, 0, -6, 14, 0, 34, 0, 0, -6, -66, 0, 0, 27, 0, 10, 100, 0, 0, -62, 0, 10, 0, 0, 46, 6, 0, 0, -126, 0, 0, 9, 0, 18, -18, 0, 20, 0, 0, -27, 55, 0, 0, -17, 0, 14, 18, 0, 53, -10, 0, 0, 0, 0, -32, 26, 0, 0, 40, 0, -65, -24, 0, -20, -18, 0, 28, 0, 0, 2, 90, 0, 0, 0, 0, 36, 78, 0, 30, -14, 0, -27, 0, 0, 0, 4, 0, 0, 4, 0, -26, -39, 0, -34, -26, 0, -98, 0, 0, 30, -37, 0, 0, -65, 0, -10, 0, 0, -8, -50, 0, 23, 0, 0, 57, 10, 0, 0, 2, 0, 26, -24, 0, 34, 0, 0, 6, 0, 0, 27, 28, 0, 0, -29, 0, 40, 52, 0, 42, 0, 0, 0, 0, 0, -102, -1, 0, 0, -42, 0, 0, 28, 0, -10, 29, 0, 66, 0, 0, -22, -72, 0, 0, -32, 0, -11, -34, 0, 0, -3, 0, 0, 0, 0, -63, 35, 0, 0, -30, 0, 20, 42, 0, 0, 13, 0, 20, 0, 0, -24, 26, 0, 0, 8, 0, -24, 25, 0, -42, 44, 0, 5, 0, 0, 31, 0, 0, 0, -75, 0, -44, -5, 0, 50, 27, 0, 0, 0, 0, 42, -81, 0, 0, 46, 0, -9, 41, 0, -40, 34, 0, 3, 0, 0, -54, 14, 0, 0, 0, 0, 18, 3, 0, 22, 0, 0, 24, 0, 0, 0, -18, 0, 0, 9, 0, 42, -81, 0, -66, -10, 0, 46, 0, 0, 180, 0, 0, 0, -22, 0, -100, 0, 0, -15, -12, 0, -24, 0, 0, 66, 62, 0, 0, 70, 0, -22, 78, 0, -12, 7, 0, -4, 0, 0, -52, 60, 0, 0, 15, 0, 168, 45, 0, 12, 0, 0, -58, 0, 0, 13, 0, 0, 0, 7, 0, 0, 5, 0, 54, 8, 0, 0, 0, 0, -48, 21, 0, 0, 4, 0, 10, -45, 0, 49, 70, 0, 36, 0, 0, -35, 60, 0, 0, -11, 0, 2, 7, 0, 0, 15, 0, 21, 0, 0, -18, -11, 0, 0, 24, 0, 45, -18, 0, -18, 81, 0, -22, 0, 0, 24, 0, 0, 0, 2, 0, 72, 10, 0, 91, -22, 0, 0, 0, 0, 63, -35, 0, 0, 40, 0, -84, -72, 0, -6, 90, 0, -54, 0, 0, -32, -14, 0, 0, 33, 0, -11, 0, 0, 15, -10, 0, -2, 0, 0, 0, 40, 0, 0, 65, 0, -52, 8, 0, -11, -94, 0, 4, 0, 0, -12, -14, 0, 0, -20, 0, 25, 0, 0, 38, -12, 0, 17, 0, 0, 1, 5, 0, 0, -62, 0, 0, -56, 0, 0, -60, 0, 41, 0, 0, 15, -24, 0, 0, 18, 0, 18, -66, 0, 4, 0, 0, 73, 0, 0, 50, -20, 0, 0, -54, 0, 0, -30, 0, 22, 10, 0, 98, 0, 0, -4, -36, 0, 0, 39, 0, 20, 20, 0, -16, -10, 0, 11, 0, 0, -49, 5, 0, 0, -21, 0, 12, -68, 0, 0, -14, 0, -71, 0, 0, -26, -12, 0, 0, 0, 0, 6, -8, 0, -106, -26, 0, -6, 0, 0, 40, 0, 0, 0, -14, 0, 42, 56, 0, -90, -6, 0, 0, 0, 0, 31, -20, 0, 0, 0, 0, 126, -43, 0, 77, -18, 0, -7, 0, 0, 54, -9, 0, 0, 0, 0, -39, 58, 0, -51, 90, 0, -68, 0, 0, 0, 66, 0, 0, 58, 0, 3, 53, 0, -52, 42, 0, -36, 0, 0, 0, 30, 0, 0, -18, 0, -44, 0, 0, -27, 73, 0, 70, 0, 0, -26, 24, 0, 0, 48, 0, 45, 62, 0, 107, 37, 0, -4, 0, 0, -6, -31, 0, 0, 84, 0, -30, 28, 0, 5, 0, 0, 130, 0, 0, 10, -119, 0, 0, -47, 0, -11, -96, 0, -1, 9, 0, -14, 0, 0, 60, 31, 0, 0, 24, 0, 4, 10, 0, -60, 3, 0, 2, 0, 0, 46, -39, 0, 0, 4, 0, -59, -24, 0, 0, -35, 0, -9, 0, 0, 20, 24, 0, 0, 0, 0, 24, 28, 0, 56, -14, 0, 10, 0, 0, -29, 0, 0, 0, -31, 0, 12, 70, 0, -35, 24, 0, 0, 0, 0, 96, 3, 0, 0, -22, 0, 103, 12, 0, 24, 64, 0, 70, 0, 0, 10, 30, 0, 0, 0, 0, 0, 0, 0, -10, -55, 0, -21, 0, 0, 0, -13, 0, 0, -69, 0, 42, 13, 0, -5, 30, 0, -36, 0, 0, 0, 80, 0, 0, -21, 0, 5, -55, 0, -38, -10, 0, 4, 0, 0, 78, 5, 0, 0, -17, 0, 15, -2, 0, -12, 52, 0, -104, 0, 0, -26, -18, 0, 0, -21, 0, 20, -60, 0, -62, 0, 0, -24, 0, 0, -92, 52, 0, 0, -63, 0, 0, 12, 0, 6, 16, 0, 69, 0, 0, 9, 42, 0, 0, 49, 0, 22, 12, 0, 5, 0, 0, 48, 0, 0, -54, -51, 0, 0, -70, 0, 25, -1, 0, 0, -35, 0, -36, 0, 0, 14, -76, 0, 0, 50, 0, 6, -28, 0, -84], "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": "190.2.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], [0], [0], [1], [-1], [0], [0], [0], [0], [3], [-1], [0], [1], [-7], [0], [-1], [0], [0], [0], [-5], [0], [0], [-3], [0], [1], [5], [0], [10], [-1], [0], [7], [0], [0], [-2], [1], [0], [0], [-2], [0], [-6], [0], [0], [5], [0], [0], [-6], [0], [0], [3], [9], [0], [0], [-1], [0], [-5], [7], [0], [-4], [-10], [0], [1], [0], [0], [-7], [-7], [0], [0], [0], [0], [9], [2], [0], [-1], [0], [0], [-10], [0], [0], [2], [-2], [0], [0], [6], [0], [0], [10], [0], [3], [-5], [0], [0], [0], [0], [18], [6], [0], [0]]}