# Stored data for newform 8550.2.a.bl, downloaded from the LMFDB on 25 April 2024.
{"label": "8550.2.a.bl", "space_label": "8550.2.a", "level": 8550, "weight": 2, "hecke_orbit": 38, "hecke_orbit_code": 166633186246271334, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 231458008718494095, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [-4, 1]], [11, [-6, 1]], [13, [0, 1]], [17, [-4, 1]], [23, [4, 1]], [53, [6, 1]]], "qexp_display": "q+q^{2}+q^{4}+4q^{7}+q^{8}+6q^{11}+4q^{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": "0.022", "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": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "1.030", "prec": 17}, {"__RealLiteral__": 0, "data": "0.039", "prec": 17}, {"__RealLiteral__": 0, "data": "2.141", "prec": 17}, {"__RealLiteral__": 0, "data": "0.156", "prec": 17}, {"__RealLiteral__": 0, "data": "5.512", "prec": 17}], "related_objects": ["EllipticCurve/Q/8550/bl"], "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, 4], "traces": [0, 1, 1, 0, 1, 0, 0, 4, 1, 0, 0, 6, 0, 0, 4, 0, 1, 4, 0, -1, 0, 0, 6, -4, 0, 0, 0, 0, 4, 10, 0, -2, 1, 0, 4, 0, 0, 4, -1, 0, 0, -10, 0, 12, 6, 0, -4, 0, 0, 9, 0, 0, 0, -6, 0, 0, 4, 0, 10, -4, 0, -10, -2, 0, 1, 0, 0, 8, 4, 0, 0, 0, 0, -6, 4, 0, -1, 24, 0, -10, 0, 0, -10, 14, 0, 0, 12, 0, 6, -10, 0, 0, -4, 0, 0, 0, 0, 6, 9, 0, 0, -10, 0, -18, 0, 0, -6, 0, 0, -8, 0, 0, 4, -2, 0, 0, 10, 0, -4, 16, 0, 25, -10, 0, -2, 0, 0, -18, 1, 0, 0, 10, 0, -4, 8, 0, 4, 12, 0, -12, 0, 0, 0, 0, 0, 0, -6, 0, 4, 10, 0, -18, -1, 0, 24, 0, 0, 18, -10, 0, 0, -16, 0, -12, -10, 0, 14, -8, 0, -13, 0, 0, 12, 18, 0, 0, 6, 0, -10, 0, 0, -16, 0, 0, -4, 0, 0, 24, 0, 0, 0, -16, 0, 2, 6, 0, 9, 10, 0, 20, 0, 0, -10, 40, 0, 0, -18, 0, 0, -6, 0, -4, -6, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, -14, 4, 0, -2, -8, 0, -18, 0, 0, 10, 4, 0, 0, -4, 0, 16, 12, 0, -22, 25, 0, -10, 0, 0, 0, -2, 0, 0, -2, 0, -24, -18, 0, 1, -6, 0, 16, 0, 0, 10, 20, 0, 0, -4, 0, 8, 14, 0, -4, 4, 0, 12, 0, 0, -10, -12, 0, 0, 10, 0, -28, 0, 0, 0, -40, 0, -1, 0, 0, -6, 26, 0, 0, 4, 0, 10, 0, 0, 48, -18, 0, -1, 0, 0, 20, 24, 0, 0, 0, 0, 14, 18, 0, -10, -30, 0, 60, 0, 0, -16, -4, 0, 0, -12, 0, -10, 0, 0, 28, 14, 0, -8, 0, 0, 26, -13, 0, 0, -12, 0, 8, 12, 0, 18, 6, 0, 10, 0, 0, 6, 24, 0, 0, -10, 0, 0, 0, 0, 1, -16, 0, 0, 0, 0, -8, -4, 0, 0, -24, 0, -12, 24, 0, 0, 0, 0, 20, 0, 0, -16, -24, 0, 0, 2, 0, 6, 18, 0, -16, 9, 0, 10, 0, 0, -22, 20, 0, 0, 6, 0, 0, -10, 0, 40, 24, 0, 2, 0, 0, -18, -16, 0, 0, 0, 0, -6, -26, 0, 28, -4, 0, -6, 0, 0, -40, 0, 0, 0, 24, 0, -6, -8, 0, -8, 4, 0, 10, 0, 0, 0, 6, 0, 0, -14, 0, 4, 26, 0, -60, -2, 0, -8, 0, 0, 38, -18, 0, 0, 2, 0, 32, 10, 0, 4, -10, 0, 32, 0, 0, -4, 72, 0, 0, 16, 0, 12, 24, 0, 0, -22, 0, 25, 0, 0, 2, -10, 0, 0, 26, 0, 40, 0, 0, -2, 0, 0, -36, 0, 0, -2, -28, 0, 0, -24, 0, -18, 18, 0, -24, 1, 0, -6, 0, 0, 0, 16, 0, 0, -42, 0, 16, 10, 0, 20, -8, 0, -7, 0, 0, -4, 0, 0, 0, 8, 0, 14, 54, 0, -22, -4, 0, 4, 0, 0, -4, 12, 0, 0, -10, 0, -40, -10, 0, -12, 22, 0, 0, 0, 0, 10, -4, 0, 0, -28, 0, 0, 34, 0, -20, 0, 0, -40, 0, 0, 2, -1, 0, 0, 56, 0, -36, -6, 0, 26, 42, 0, 2, 0, 0, 4, -44, 0, 0, 10, 0, 0, 0, 0, 26, 48, 0, -18, 0, 0, -22, -1, 0, 0, 0, 0, -14, 20, 0, 24, 8, 0, -20, 0, 0, 0, -40, 0, 0, 14, 0, 18, 16, 0, -36, -10, 0, -30, 0, 0, 0, 60, 0, 0, -42, 0, -28, -16, 0, -4, -12, 0, -24, 0, 0, -12, -42, 0, 0, -10, 0, 0, 36, 0, -40, 28, 0, 14, 0, 0, -40, -8, 0, 0, -60, 0, 10, 26, 0, -13, 2, 0, 24, 0, 0, -12, 36, 0, 0, 8, 0, 12, 0, 0, 28, 18, 0, 6, 0, 0, -40, 10, 0, 0, 30, 0, -4, 6, 0, 24, -40, 0, -34, 0, 0, -10, 8, 0, 0, 0, 0, 0, -16, 0, -72, 1, 0, -16, 0, 0, 28, 0, 0, 0, 48, 0, 18, -8, 0, -4, 48, 0, -4, 0, 0, -24, 8, 0, 0, -12, 0, 24, 0, 0, 46, 0, 0, 0, 0, 0, 26, 20, 0, 0, -24, 0, -32, -16, 0, -24, 0, 0, -14, 0, 0, 2, 30, 0, 0, 6, 0, 18, 10, 0, 0, -16, 0, 9, 0, 0, 52, 10, 0, 0, -8, 0, 0, -22, 0, 20, -2, 0, 0, 0, 0, 6, -36, 0, 0, 0, 0, -10, -36, 0, 20, 40, 0, 24, 0, 0, -12, 2, 0, 0, -50, 0, 16, -18, 0, -16, -36, 0, 0, 0, 0, 0, 36, 0, 0, -6, 0, -26, 24, 0, 71, 28, 0, -4, 0, 0, 100, -6, 0, 0, -16, 0, -2, -40, 0, 0, 30, 0, -28, 0, 0, 24, -48, 0, 0, -6, 0, -8, -60, 0, 0, -8, 0, 4, 0, 0, -4, 10, 0, 0, 20, 0, -20, 0, 0, 6, -16, 0, -72, 0, 0, -14, 0, 0, 0, 4, 0, 26, -20, 0, -24, -60, 0, -2, 0, 0, -32, -8, 0, 0, -32, 0, 84, 38, 0, -18, 40, 0, -52, 0, 0, 2, 0, 0, 0, 32, 0, 10, 36, 0, -9, 4, 0, -10, 0, 0, -14, 32, 0, 0, 50, 0, 40, -4, 0, 72, -38, 0, 0, 0, 0, 16, 34, 0, 0, 12, 0, 24, 48, 0, -27, 0, 0, -22, 0, 0, -12, 25, 0, 0, 60, 0, -48, 2, 0, -10, -18, 0, -60, 0, 0, 26, -24, 0, 0, 40, 0, 0, -48, 0, -34, -2, 0, 0, 0, 0, 10, -36, 0, 0, 0, 0, -16, -2, 0, -28, 6, 0, -6, 0, 0, -24, -10, 0, 0, -18, 0, 18, -48, 0, 12, -24, 0, 1, 0, 0, 0, -6, 0, 0, 24, 0, -10, 0, 0, 16, -40, 0, 58, 0, 0, -42, 40, 0, 0, 16, 0, 10, -24, 0, -52, 20, 0, -8, 0, 0, -72, -7, 0, 0, -6, 0, 6, -4, 0, 0, 36, 0, -10, 0, 0, 8, 40, 0, 0, 14, 0, 54, 0, 0, 0, -22, 0, -4, 0, 0, 56, 4, 0, 0, -56, 0, -4, -4, 0, 12, -46, 0, 72, 0, 0, -10, -24, 0, 0, -40, 0, -10, -14, 0, -60, -12, 0, 22, 0, 0, -52, 0, 0, 0, 4, 0, -36, 10, 0, -4, -36, 0, 18, 0, 0, -28, -108, 0, 0, 0, 0, 34, 32, 0, -48, -20, 0, 0, 0, 0, -8, -40, 0, 0, 36, 0, -14, 2, 0, -1, 0, 0, 10, 0, 0, 56, -6, 0, 0, -36, 0, -6, -32, 0, 44, 26, 0, 42, 0, 0, 0, 2, 0, 0, -14, 0, -52, 4, 0, -44, -18, 0, -100, 0, 0, 10, 22, 0, 0, 0, 0, 0, -48, 0, -50, 26, 0, 48, 0, 0, 0, -18, 0, 0, 72, 0, 26, -22, 0, -1, 52, 0, 24, 0, 0, 0, 48, 0, 0, -14, 0, 20, -50, 0, 10, 24, 0, 8, 0, 0, -32, -20, 0, 0, -24, 0, -12, 0, 0, -40, 120, 0, -2, 0, 0, 14, 0, 0, 0, 18, 0, 16, 54, 0, 0, -36, 0, -10, 0, 0, -64, -30, 0, 0, 20, 0, -8, 0, 0, 60, 18, 0, 0, 0, 0, -42, -4, 0, 0, -28, 0, -16, -20, 0, 24, -4, 0, -12, 0, 0, 18, -24, 0, 0, -6, 0, 32, -12, 0, -42, 16, 0, 96, 0, 0, -10, 0, 0, 0, 0, 0, 36, -40, 0, 6, -40, 0, 28, 0, 0, 20, 14, 0, 0, 84, 0, -24, -40, 0, -8, -64, 0, 0, 0, 0, -60, -40, 0, 0, 10, 0, 26, 0, 0, 8, -13, 0, 2, 0, 0, 16, 24, 0, 0, -34, 0, 0, -12, 0, 36, -8, 0, -21, 0, 0, 8, -42, 0, 0, 12, 0, 0, 40, 0, -40, 28, 0, 18, 0, 0, 6, 6, 0, 0, 0, 0, 80, -40, 0, 10, -108, 0, 10, 0, 0, 30, 40, 0, 0, -4, 0, 6, -42, 0, 56, 24, 0, -40, 0, 0, 0, -34, 0, 0, 90, 0, 8, -10, 0, 8, -52, 0, -34, 0, 0, 0, -14, 0, 0, 0, 0, -16, 16, 0, 60, -72, 0, 1, 0, 0, 2, -16, 0, 0, 14, 0, -70, 28, 0, 0, 0, 0, -8, 0, 0, 48, -24, 0, 0, 18, 0, -8, 0, 0, 34, -4, 0, 48, 0, 0, -16, -4, 0, 0, 6, 0, -52, -24, 0, 8, -12, 0, 22, 0, 0, -12, 22, 0, 0, 24, 0, 0, -6, 0, 10, 46, 0, 0, 0, 0, 72, 0, 0, 0, -24, 0, -40, 26, 0, 20, -40, 0, -18, 0, 0, -24, 0, 0, 0, -32, 0, -16, -72, 0, 28, -24, 0, 0, 0, 0, -60, -14, 0, 0, -32, 0, 20, 2, 0, 30, 0, 0, -76, 0, 0, 6, -6, 0, 0, 18, 0, 10, -60, 0, -56, 0, 0, -16, 0, 0, 72, 9, 0, 0, -32, 0, 0, 52, 0, 10, -14, 0, -40, 0, 0, -8, 28, 0, 0, 0, 0, -22, -32, 0, 48, 20, 0, -2, 0, 0, 26, 0, 0, 0, 24, 0, -72, 6, 0, -36, 64, 0, 14, 0, 0, 0, -14, 0, 0, -10, 0, -36, -34, 0, 70, 20, 0, 40, 0, 0, 68, 24, 0, 0, 16, 0, 0, -12, 0, 2, 6, 0, 60, 0, 0, -50, 12, 0, 0, 16, 0, -18, 24, 0, 0, -16, 0, -36, 0, 0, -10, 0, 0, 0, -108, 0, 50, 0, 0, 36, 36, 0, -30, 0, 0, -6, 48, 0, 0, -26, 0, 24, 24, 0, 59, 71, 0, 28, 0, 0, -88, -4, 0, 0, 10, 0, -16, 100, 0, -6, -8, 0, 44, 0, 0, -16, 0, 0, 0, -2, 0, -40, 46, 0, -40, 0, 0, 30, 0, 0, -40, -28, 0, 0, 64, 0, -56, 24, 0, -48, 108, 0, 0, 0, 0, -6, -42, 0, 0, -8, 0, -60, 0, 0, 4, 0, 0, -8, 0, 0, 20, 4, 0, 0, -72, 0, -66, -4, 0, 10, -8, 0, 16, 0, 0, 20, -120, 0, 0, -20, 0, 0, -100, 0, -96, 6, 0, -16, 0, 0, -78, -72, 0, 0, 0, 0, -16, -14, 0, 0, 78, 0, 12, 0, 0, 4, -72, 0, 0, 26, 0, -20, -24, 0, 18, -24, 0, -60, 0, 0, 0, -2, 0, 0, 18, 0, 36, -32, 0, -8, 40, 0, 0, 0, 0, -32, -16, 0, 0, 84, 0, 38, 8, 0, 24, -18, 0, 40, 0, 0, -48, -52, 0, 0, 80, 0, -6, 2, 0, 0, -12, 0, 101, 0, 0, 32, -32, 0, 0, 10, 0, 36, -78, 0, 76, -9, 0, 4, 0, 0, 28, -10, 0, 0, -60, 0, -38, -14, 0, 32, -58, 0, 8, 0, 0, 50, 56, 0, 0, 40, 0, -4, 34, 0, 20, 72, 0, -38, 0, 0, -16, 0, 0, 0, 34, 0, 108, 16, 0, 34, 14, 0, -56, 0, 0, 12, -54, 0, 0, 24, 0, 48, 10, 0, -8, -27, 0, 0, 0, 0, 0, -22, 0, 0, -56, 0, -64, -12, 0, 25, 0, 0, -40, 0, 0, 60, 80, 0, 0, -48, 0, 2, 50, 0, 30, -10, 0, -18, 0, 0, 18, -60, 0, 0, -24, 0, 0, 26, 0, -24, 40, 0, 0, 0, 0, 40, 74, 0, 0, 0, 0, -48, 16, 0, -112, -34, 0, -2, 0, 0, -12, 0, 0, 0, -96, 0, 26, 10, 0, -36, 46, 0, 48, 0, 0, 0, -8, 0, 0, -16, 0, -2, -90, 0, 84, -28, 0, 6, 0, 0, 14, -6, 0, 0, 0, 0, -4, -24, 0, -10, -32, 0, 88, 0, 0, -18, 0, 0, 0, 18, 0, -48, 24, 0, 0, 12, 0, -24, 0, 0, 40, 1, 0, 0, 104, 0, 6, 0, 0, -6, 100, 0, 0, 0, 0, 24, -40, 0, 0, -10, 0, 0, -66, 0, 8, 16, 0, -40, 0, 0, -16, 58, 0, 0, -18, 0, 16, -42, 0, 40, -32, 0, -26, 0, 0, 16, 0, 0, 0, 10, 0, -24, 18, 0, -96, -52, 0, 20, 0, 0, 108, -8, 0, 0, -48, 0, 14, -72, 0, -7, -60, 0, 0, 0, 0, -6, 12, 0, 0, 6, 0, -4, 36, 0, -80, 0, 0, 36, 0, 0, 22, -10, 0, 0, 42, 0, -38, 8, 0, 40, 2, 0, 80, 0, 0, 14, -20, 0, 0, 54, 0, 0, -72, 0, -30, 0, 0, -22, 0, 0, 60, -4, 0, 0, 0, 0, 60, 56, 0, 4, 0, 0, 20, 0, 0, -56, -16, 0, 0, -4, 0, -4, 120, 0, 56, 12, 0, -46, 0, 0, 0, 72, 0, 0, 0, 0, 84, -10, 0, -24, -32, 0, -47, 0, 0, -40, 30, 0, 0, -10, 0, -14, -120, 0, -6, -60, 0, -12, 0, 0, 40, 22, 0, 0, -24, 0, 240, -52, 0, 0, -6, 0, 44, 0, 0, 4, -66, 0, 0, -36, 0, 10, 0, 0, 68, -4, 0, -36, 0, 0, -40, 18, 0, 0, -16, 0, 12, -28, 0, -108, 14, 0, -40, 0, 0, 0, -42, 0, 0, 34, 0, 32, -72, 0, -30, -48, 0, -20, 0, 0, -52, 0, 0, 0, -100, 0, -84, -8, 0, -40, 12, 0, -25, 0, 0, 36, 0, 0, 0, -14, 0, 2, 38, 0, 30, -1, 0, 0, 0, 0, 112, 10, 0, 0, -24, 0, 40, 56, 0, -6, 0, 0, 48, 0, 0, -36, -2, 0, 0, -6, 0, -32, 60, 0, -86, 44, 0, 26, 0, 0, 88, 42, 0, 0, 48, 0, 0, 0, 0, 2, -62, 0, 104, 0, 0, -14, -48, 0, 0, -52, 0, 4, 72, 0, 16, -44, 0, -18, 0, 0, -34, -100, 0, 0, 46, 0, -82, 10, 0, 22, -48, 0, -32, 0, 0, 0, -26, 0, 0, 0, 0, -48, -60, 0, -31, -50, 0, 26, 0, 0, 140, 48, 0, 0, 46, 0, 18, 0, 0, -18, 28, 0, 40, 0, 0, 72, -32, 0, 0, 26, 0, -22, 24, 0, 0, -1, 0, 52, 0, 0, -54, 24, 0, 0, -60, 0, 40, 0, 0, 48, 8, 0, 20, 0, 0, -14, -84, 0, 0, 20, 0, -50, 0, 0, 0, 10, 0, 24, 0, 0, -44, 8, 0, 0, 96, 0, 6, -32, 0, -20, -62, 0, 32, 0, 0, -24, 0, 0, 0, -12, 0, 0, -10, 0, 0, -40, 0, 120, 0, 0, -48, -2, 0, 0, 100, 0, 54, 14, 0, 0, 32, 0, 0, 0, 0, 18, 0, 0, 0, 16, 0, 54, -108, 0, -42, 0, 0, -36, 0, 0, 4, -10, 0, 0, 38, 0, 40, -64, 0, -30, -48, 0, 80, 0, 0, 20, -92, 0, 0, -8, 0, 0, -74, 0, -4, 60, 0, 18, 0, 0, 14, 0, 0, 0, 0, 0, 24, -42, 0, -4, -72, 0, -32, 0, 0, -28, -28, 0, 0, -16, 0, -20, -12, 0, -100, 24, 0, -4, 0, 0, 0, -12, 0, 0, 100, 0, -46, 18, 0, -24, -54, 0, 8, 0, 0, -6, -12, 0, 0, 32, 0, -12, 12, 0, -48, -42, 0, 16, 0, 0, 22, 96, 0, 0, -66, 0, -120, -10, 0, 0, 0, 0, 72, 0, 0, 0, 56, 0, 0, 36, 0, -40, 0, 0, 12, 6, 0, -40, 0, 0, -8, 28, 0, 0, -132, 0, 80, 20, 0, 14, -12, 0, -84, 0, 0, 84, 72, 0, 0, -24, 0, -40, 72, 0, 72, -8, 0, -64, 0, 0, -26, 0, 0, 0, -96, 0, -4, -60, 0, -40, 48, 0, 70, 0, 0, 10, 70, 0, 0, 26, 0, 0, -30, 0, -24, 8, 0, -13, 0, 0, -28, 2, 0, 0, 16, 0, 54, 16, 0, 24, 0, 0, -18, 0, 0, -34, 72, 0, 0, 0, 0, -12, 2, 0, 40, 36, 0, -8, 0, 0, -64, -21, 0, 0, 42, 0, 0, 8, 0, -42, -80, 0, -44, 0, 0, 12, -24, 0, 0, 0, 0, 40, 20, 0, -12, -40, 0, 28, 0, 0, 34, 18, 0, 0, -48, 0, 0, 6, 0, 6, -6, 0, -88, 0, 0, 0, -100, 0, 0, 80, 0, -40, 6, 0, 80, 10, 0, -108, 0, 0, -2, 10, 0, 0, 2, 0, -56, 30, 0, 40, 24, 0, -17, 0, 0, -4, 60, 0, 0, 6, 0, -42, -6, 0, 0, 56, 0, 24, 0, 0, -36, -40, 0, 0, -10, 0, 70, 0, 0, -34, -10, 0, -32, 0, 0, 90, 52, 0, 0, 8, 0, -10, 96, 0, 28, 8, 0, -52, 0, 0, -18, -34, 0, 0, 46, 0, 8, 0, 0, -14, 0, 0, 18, 0, 0, 0, -52, 0, 0, -16, 0, 16, -40, 0, 96, 60, 0, -72, 0, 0, 42, 1, 0, 0, -36, 0, 120, 2, 0, -16, 76, 0, 0, 0, 0, 14, 24, 0, 0, -70, 0, 28, -50, 0, 0, 0, 0, 0, 0, 0, 60, -8, 0, 0, 72, 0, -40, 48, 0, -24, -16, 0, -100, 0, 0, 18, -104, 0, 0, -8, 0, 0, -76, 0, 72, 34, 0, -4, 0, 0, 112, 48, 0, 0, 0, 0, -86, -16, 0, -4, 18, 0, 84, 0, 0, 6, 72, 0, 0, -52, 0, -24, -32, 0, -76, 8, 0, -12, 0, 0, 0, 22, 0, 0, -24, 0, -18, -12, 0, 22, -180, 0, -90, 0, 0, 24, 60, 0, 0, 0, 0, -6, 36, 0, 90, 10, 0, 46, 0, 0, -12, 0, 0, 0, -2, 0, -40, 72, 0, 0, 96, 0, -12, 0, 0, -24, 64, 0, 0, -40, 0, 26, 0, 0, -24, 20, 0, -40, 0, 0, 14, -18, 0, 0, 108, 0, 0, -24, 0, 0, -60, 0, -70, 0, 0, -32, 0, 0, 0, -16, 0, -72, 16, 0, -12, 28, 0, -24, 0, 0, -12, 0, 0, 0, 56, 0, 40, -60, 0, -14, -64, 0, -48, 0, 0, -32, -6, 0, 0, 20, 0, 2, -4, 0, 60, 30, 0, 0, 0, 0, 12, -76, 0, 0, 24, 0, 0, 6, 0, -6, 0, 0, -100, 0, 0, 18, -168, 0, 0, 10, 0, -60, 32, 0, 10, -56, 0, 0, 0, 0, 24, -16, 0, 0, 20, 0, 0, 72, 0, 9, 66, 0, -72, 0, 0, -32, 104, 0, 0, 0, 0, 52, 0, 0, -48, 10, 0, -14, 0, 0, -240, -40, 0, 0, -80, 0, -28, -8, 0, 28, 88, 0, -26, 0, 0, 0, 8, 0, 0, -22, 0, -32, -6, 0, 32, 48, 0, 20, 0, 0, 4, -2, 0, 0, -40, 0, 36, 26, 0, 0, 48, 0, 152, 0, 0, 24, -30, 0, 0, -72, 0, 6, -36, 0, 13, -36, 0, 64, 0, 0, 50, 14, 0, 0, 78, 0, 156, 0, 0, -14, 8, 0, -100, 0, 0, -10, 60, 0, 0, -36, 0, -34, 100, 0, 128, 70, 0, 20, 0, 0, -64, 40, 0, 0, -84, 0, -66, 68, 0, 24, -70, 0, 88, 0, 0, 16, 0, 0, 0, 0, 0, -12, -40, 0, -106, 2, 0, 6, 0, 0, -20, 60, 0, 0, 8, 0, 72, -50, 0, 12, -18, 0, 0, 0, 0, 16, -40, 0, 0, -18, 0, 24, 4, 0, -40, 0, 0, -16, 0, 0, 108, -36, 0, 0, 288, 0, 54, -10, 0, 0, 0, 0, -74, 0, 0, -108, 18, 0, 0, 50, 0, 0, -8, 0, 68, 36, 0, 36, 0, 0, 0, -30, 0, 0, 0, 0, 34, -6, 0, 48, 80, 0, 40, 0, 0, -26, 96, 0, 0, 24, 0, 24, 16, 0, 110, 59, 0, 71, 0, 0, 0, 28, 0, 0, -108, 0, 0, -88, 0, -4, 120, 0, 16, 0, 0, 10, 80, 0, 0, -16, 0, 100, 66, 0, 8, -6, 0, -8, 0, 0, -120, 44, 0, 0, 0, 0, -140, -16, 0, 0, -72, 0, 8, 0, 0, -2, 6, 0, 0, -40, 0, 46, 0, 0, 0, -40, 0, 0, 0, 0, -40, 30, 0, 0, 0, 0, 78, -40, 0, -28, 104, 0, 16, 0, 0, 64, 84, 0, 0, -56, 0, 24, -22, 0, 160, -48, 0, 108, 0, 0, -90, 0, 0, 0, 10, 0, -32, -6, 0, -42, -34, 0, -38, 0, 0, -8, 72, 0, 0, -60, 0, 0, 0, 0, -43, 4, 0, 0, 0, 0, -180, -8, 0, 0, 96, 0, -144, 20, 0, 4, 0, 0, 96, 0, 0, -72, 4, 0, 0, -66, 0, -4, 250, 0, -50, 10, 0, -8, 0, 0, 12, 16, 0, 0, -112, 0, 0, 20, 0, -120, 56, 0, -62, 0, 0, -20, -78, 0, 0, 0, 0, -100, -54, 0, -14, -96, 0, 6, 0, 0, 4, -16, 0, 0, -48, 0, -24, -78, 0, -72, -22, 0, 0, 0, 0, 0, 72, 0, 0, -16, 0, -14, 168, 0, 116, 0, 0, 78, 0, 0, -54, 12, 0, 0, -26, 0, 28, 4, 0, -72, -16, 0, 24, 0, 0, 26, -26, 0, 0, -20, 0, -24, 40, 0, 0], "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": "1710.2.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], [4], [1], [0], [0], [6], [0], [0], [4], [0], [1], [4], [0], [-1], [0], [0], [6], [-4], [0], [0], [0], [0], [4], [10], [0], [-2], [1], [0], [4], [0], [0], [4], [-1], [0], [0], [-10], [0], [12], [6], [0], [-4], [0], [0], [9], [0], [0], [0], [-6], [0], [0], [4], [0], [10], [-4], [0], [-10], [-2], [0], [1], [0], [0], [8], [4], [0], [0], [0], [0], [-6], [4], [0], [-1], [24], [0], [-10], [0], [0], [-10], [14], [0], [0], [12], [0], [6], [-10], [0], [0], [-4], [0], [0], [0], [0], [6], [9], [0], [0]]}