# Stored data for newform 8550.2.a.v, downloaded from the LMFDB on 23 April 2024.
{"label": "8550.2.a.v", "space_label": "8550.2.a", "level": 8550, "weight": 2, "hecke_orbit": 22, "hecke_orbit_code": 94575592208343398, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 615490927990992962, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [2, 1]], [11, [6, 1]], [13, [-4, 1]], [17, [6, 1]], [23, [0, 1]], [53, [6, 1]]], "qexp_display": "q+q^{2}+q^{4}-2q^{7}+q^{8}-6q^{11}+4q^{13}+\\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": "0.023", "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": "0.009", "prec": 17}, {"__RealLiteral__": 0, "data": "0.999", "prec": 17}, {"__RealLiteral__": 0, "data": "0.043", "prec": 17}, {"__RealLiteral__": 0, "data": "2.040", "prec": 17}, {"__RealLiteral__": 0, "data": "0.157", "prec": 17}, {"__RealLiteral__": 0, "data": "5.205", "prec": 17}], "related_objects": ["EllipticCurve/Q/8550/v"], "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, -2], "traces": [0, 1, 1, 0, 1, 0, 0, -2, 1, 0, 0, -6, 0, 4, -2, 0, 1, -6, 0, 1, 0, 0, -6, 0, 0, 0, 4, 0, -2, 0, 0, 8, 1, 0, -6, 0, 0, -8, 1, 0, 0, 12, 0, -2, -6, 0, 0, 0, 0, -3, 0, 0, 4, -6, 0, 0, -2, 0, 0, 12, 0, 2, 8, 0, 1, 0, 0, 16, -6, 0, 0, 0, 0, 10, -8, 0, 1, 12, 0, 8, 0, 0, 12, 0, 0, 0, -2, 0, -6, 12, 0, -8, 0, 0, 0, 0, 0, -8, -3, 0, 0, -6, 0, 16, 4, 0, -6, -12, 0, 2, 0, 0, -2, -6, 0, 0, 0, 0, 12, 12, 0, 25, 2, 0, 8, 0, 0, -20, 1, 0, 0, -18, 0, -2, 16, 0, -6, 6, 0, 8, 0, 0, 0, -24, 0, 0, 10, 0, -8, 18, 0, 8, 1, 0, 12, 0, 0, 10, 8, 0, 0, 0, 0, 10, 12, 0, 0, 24, 0, 3, 0, 0, -2, 6, 0, 0, -6, 0, 12, 12, 0, 2, -8, 0, 0, 0, 0, 36, 0, 0, 0, -6, 0, -20, -8, 0, -3, 6, 0, 20, 0, 0, -6, 0, 0, 0, 16, 0, 4, -6, 0, -4, -6, 0, -12, 0, 0, -16, 2, 0, 0, -24, 0, 16, -2, 0, -6, 12, 0, 2, 0, 0, 0, 6, 0, 0, 12, 0, 12, 6, 0, 2, 25, 0, 2, 0, 0, 4, 8, 0, 0, -6, 0, 0, -20, 0, 1, -6, 0, 16, 0, 0, -18, -12, 0, 0, -2, 0, 16, -24, 0, 20, -6, 0, 6, 0, 0, 10, 8, 0, 0, -24, 0, -14, 0, 0, -24, -24, 0, 19, 0, 0, 10, -18, 0, 0, -8, 0, 18, 0, 0, 4, 8, 0, 1, 0, 0, 16, 12, 0, 0, 18, 0, -26, 10, 0, 8, -30, 0, 0, 0, 0, 0, -6, 0, 0, 10, 0, 12, 0, 0, -28, 0, 0, 24, 0, 0, -8, 3, 0, 0, -48, 0, 20, -2, 0, 6, 24, 0, 14, 0, 0, -6, 30, 0, 0, 12, 0, 12, -6, 0, 1, 2, 0, -8, 0, 0, 34, 0, 0, 0, 12, 0, 4, 36, 0, 0, 0, 0, -4, 0, 0, -6, 24, 0, 0, -20, 0, -8, -18, 0, 0, -3, 0, 6, 0, 0, -14, 20, 0, 0, 0, 0, 32, -6, 0, 0, 48, 0, 14, 0, 0, 16, -24, 0, 0, 4, 0, -6, -30, 0, -10, -4, 0, -6, 0, 0, -4, -12, 0, 0, -12, 0, 4, -16, 0, 2, 0, 0, 8, 0, 0, -24, -36, 0, 0, 16, 0, -2, -12, 0, -72, -6, 0, 12, 0, 0, 22, 2, 0, 0, 42, 0, -14, 0, 0, 6, 36, 0, -32, 0, 0, 12, 12, 0, 0, 12, 0, 6, -30, 0, -32, 2, 0, 25, 0, 0, 16, 2, 0, 0, 6, 0, 0, 4, 0, 8, 0, 0, 32, 0, 0, -6, 12, 0, 0, 0, 0, -20, 36, 0, -20, 1, 0, -6, 0, 0, 0, 16, 0, 0, 24, 0, 4, -18, 0, -12, -48, 0, -23, 0, 0, -2, 48, 0, 0, 16, 0, -24, 18, 0, -10, 20, 0, -6, 0, 0, 16, 6, 0, 0, 0, 0, -16, 10, 0, 8, -30, 0, -8, 0, 0, -24, 12, 0, 0, -14, 0, 0, 36, 0, -16, -24, 0, -24, 0, 0, -2, 19, 0, 0, 0, 0, 36, 10, 0, -18, -12, 0, 8, 0, 0, -8, 6, 0, 0, 18, 0, 0, 12, 0, -34, 4, 0, 8, 0, 0, -8, 1, 0, 0, 0, 0, -38, 16, 0, 12, -30, 0, -16, 0, 0, 18, -24, 0, 0, -26, 0, 10, 48, 0, 8, 8, 0, -30, 0, 0, -12, 0, 0, 0, -12, 0, -14, 0, 0, -6, -12, 0, -72, 0, 0, 10, 30, 0, 0, 12, 0, 0, 0, 0, 50, -28, 0, 0, 0, 0, 0, 24, 0, 0, -12, 0, -8, -8, 0, 3, 42, 0, 16, 0, 0, -48, 12, 0, 0, 20, 0, -2, -24, 0, 8, 6, 0, 24, 0, 0, -72, 14, 0, 0, -30, 0, -8, -6, 0, 30, 12, 0, -46, 0, 0, 12, 0, 0, 0, 12, 0, -6, -18, 0, -32, 1, 0, 2, 0, 0, 10, -8, 0, 0, 12, 0, 22, 34, 0, 0, -96, 0, 44, 0, 0, 12, 24, 0, 0, 4, 0, 36, 24, 0, -16, 0, 0, 0, 0, 0, 22, -4, 0, 0, -6, 0, -4, -6, 0, 24, 48, 0, 50, 0, 0, -20, -30, 0, 0, -8, 0, -18, 12, 0, 0, 0, 0, -3, 0, 0, 28, 6, 0, 0, 12, 0, 8, -14, 0, 20, -42, 0, 0, 0, 0, 0, -60, 0, 0, 32, 0, -6, 30, 0, 20, 0, 0, 48, 0, 0, -2, 14, 0, 0, -30, 0, -14, 16, 0, -24, 12, 0, 2, 0, 0, 4, 18, 0, 0, -6, 0, -30, -24, 0, -29, -10, 0, -4, 0, 0, -50, -6, 0, 0, 0, 0, 22, -4, 0, -12, 6, 0, -52, 0, 0, -12, 24, 0, 0, 4, 0, -16, -48, 0, 64, 2, 0, 0, 0, 0, -20, 8, 0, 0, -30, 0, 34, -24, 0, -36, 0, 0, 40, 0, 0, 16, 0, 0, 0, -2, 0, -12, 0, 0, 36, -72, 0, -6, 0, 0, -44, 12, 0, 0, -48, 0, 0, 22, 0, 2, 36, 0, 56, 0, 0, 42, 0, 0, 0, -14, 0, 0, -18, 0, -3, 6, 0, 36, 0, 0, 10, -32, 0, 0, 24, 0, 0, 12, 0, 12, 0, 0, 40, 0, 0, 12, 18, 0, 0, 6, 0, -30, -12, 0, 33, -32, 0, 2, 0, 0, 34, 25, 0, 0, 24, 0, -16, 16, 0, 2, 30, 0, -72, 0, 0, 6, 0, 0, 0, 0, 0, 4, 0, 0, 32, 8, 0, 0, 0, 0, 10, 32, 0, 0, 48, 0, -72, -6, 0, 12, -6, 0, 2, 0, 0, 0, 18, 0, 0, -20, 0, 36, 24, 0, -58, -20, 0, 1, 0, 0, 32, -6, 0, 0, -30, 0, -50, 0, 0, 16, -12, 0, -40, 0, 0, 24, -36, 0, 0, 4, 0, -18, 30, 0, -16, -12, 0, -48, 0, 0, -16, -23, 0, 0, 42, 0, 16, -2, 0, 48, 48, 0, 14, 0, 0, 16, 0, 0, 0, -24, 0, 18, 0, 0, 0, -10, 0, 20, 0, 0, -26, -6, 0, 0, 48, 0, 4, 16, 0, 6, -54, 0, -20, 0, 0, 0, 24, 0, 0, -16, 0, 10, -6, 0, 36, 8, 0, -30, 0, 0, 16, -8, 0, 0, 12, 0, 4, -24, 0, 12, 0, 0, -58, 0, 0, -14, -96, 0, 0, 0, 0, 36, -96, 0, -20, -16, 0, -24, 0, 0, -64, -24, 0, 0, 30, 0, -20, -2, 0, 19, 48, 0, 2, 0, 0, 0, -12, 0, 0, 36, 0, 10, -48, 0, -28, -18, 0, -12, 0, 0, 72, 8, 0, 0, 48, 0, -6, -8, 0, 6, -36, 0, 0, 0, 0, 18, -54, 0, 0, 0, 0, 12, -12, 0, 14, -34, 0, 4, 0, 0, 0, 8, 0, 0, -12, 0, 46, -8, 0, 1, 18, 0, 0, 0, 0, 0, 0, 0, 0, -38, 0, 16, 24, 0, -64, 12, 0, -30, 0, 0, 4, -16, 0, 0, -60, 0, 36, 18, 0, -24, 0, 0, 2, 0, 0, -26, -24, 0, 0, 10, 0, 48, 6, 0, -32, 8, 0, 8, 0, 0, -4, -30, 0, 0, 96, 0, 16, -12, 0, 0, 30, 0, -16, 0, 0, -12, -36, 0, 0, -14, 0, 0, -30, 0, 20, -6, 0, -12, 0, 0, -26, -72, 0, 0, -18, 0, -14, 10, 0, 30, -12, 0, -72, 0, 0, 12, -24, 0, 0, 0, 0, 0, -36, 0, 14, 50, 0, -28, 0, 0, -14, 0, 0, 0, -84, 0, -16, 0, 0, 24, 12, 0, 64, 0, 0, -12, -48, 0, 0, -8, 0, -8, 0, 0, 40, 3, 0, 42, 0, 0, 0, 16, 0, 0, -24, 0, 0, -48, 0, 12, 24, 0, 27, 0, 0, 20, 54, 0, 0, -2, 0, -24, -12, 0, -58, 8, 0, 6, 0, 0, 10, 24, 0, 0, -48, 0, -40, -72, 0, 14, 120, 0, 32, 0, 0, -30, 0, 0, 0, -8, 0, -6, 36, 0, 0, 30, 0, 12, 0, 0, 8, -46, 0, 0, 0, 0, 46, 12, 0, 0, -12, 0, -10, 0, 0, 12, 18, 0, 0, -6, 0, -18, -12, 0, 108, -32, 0, 1, 0, 0, 28, 2, 0, 0, 30, 0, -26, 10, 0, -8, 0, 0, 44, 0, 0, 12, 12, 0, 0, 22, 0, 34, -24, 0, -40, 0, 0, -96, 0, 0, 8, 44, 0, 0, 12, 0, -26, 12, 0, 24, 0, 0, 14, 0, 0, 4, -6, 0, 0, 36, 0, 24, 30, 0, 8, -16, 0, 0, 0, 0, -36, 0, 0, 0, -36, 0, -72, 22, 0, -4, -96, 0, -24, 0, 0, -6, 12, 0, 0, -4, 0, -6, -48, 0, -52, 24, 0, 48, 0, 0, 0, 50, 0, 0, 0, 0, 46, -20, 0, -30, 48, 0, -46, 0, 0, -8, 30, 0, 0, -18, 0, 12, -66, 0, -32, 0, 0, 0, 0, 0, 70, -3, 0, 0, 36, 0, 100, 28, 0, 6, 0, 0, 44, 0, 0, 12, 36, 0, 0, 8, 0, -14, -24, 0, 16, 20, 0, -42, 0, 0, -50, 0, 0, 0, -66, 0, -4, 0, 0, -60, 60, 0, 62, 0, 0, 32, 6, 0, 0, -6, 0, 30, 66, 0, 26, 20, 0, 0, 0, 0, -68, 48, 0, 0, -12, 0, 0, -2, 0, 14, 18, 0, -108, 0, 0, -30, -48, 0, 0, -14, 0, 16, 48, 0, -80, -24, 0, 12, 0, 0, 10, 2, 0, 0, -48, 0, -8, 4, 0, 18, 12, 0, 38, 0, 0, -6, -12, 0, 0, -30, 0, -24, 0, 0, 103, -29, 0, -10, 0, 0, -4, -4, 0, 0, 12, 0, 76, -50, 0, -6, -30, 0, -76, 0, 0, 0, -72, 0, 0, 22, 0, -4, -48, 0, 0, -12, 0, 6, 0, 0, 36, -52, 0, 0, -18, 0, -44, -12, 0, 24, -60, 0, -8, 0, 0, 4, 78, 0, 0, -16, 0, -48, 0, 0, -10, 64, 0, 2, 0, 0, 16, 0, 0, 0, -96, 0, -62, -20, 0, 8, 12, 0, -4, 0, 0, -30, -24, 0, 0, 34, 0, -24, 0, 0, 0, -36, 0, 0, 0, 0, -56, 40, 0, 0, 24, 0, -62, 16, 0, 0, 0, 0, -22, 0, 0, -2, -60, 0, 0, -12, 0, 0, 12, 0, 62, 36, 0, -72, 0, 0, 32, -6, 0, 0, 54, 0, 24, -44, 0, 12, 0, 0, 72, 0, 0, -48, -48, 0, 0, 0, 0, 22, 96, 0, 32, 2, 0, 36, 0, 0, -144, 56, 0, 0, 24, 0, -8, 42, 0, 0, -48, 0, -39, 0, 0, -14, -12, 0, 0, 0, 0, -18, -18, 0, -58, -3, 0, 6, 0, 0, -50, 36, 0, 0, 66, 0, 70, 10, 0, -32, 42, 0, 56, 0, 0, 24, 48, 0, 0, 0, 0, 12, 36, 0, 16, 12, 0, 0, 0, 0, -40, 40, 0, 0, -6, 0, -36, 12, 0, 18, -24, 0, 0, 0, 0, 6, -66, 0, 0, -30, 0, -12, -6, 0, 36, 33, 0, -32, 0, 0, 0, 2, 0, 0, -72, 0, -44, 34, 0, 25, 72, 0, -20, 0, 0, 24, 0, 0, 0, -16, 0, 16, 30, 0, 8, 2, 0, 30, 0, 0, 16, -72, 0, 0, 48, 0, 32, 6, 0, 0, 48, 0, -72, 0, 0, 0, 54, 0, 0, 4, 0, 0, 12, 0, 28, 32, 0, 8, 0, 0, -26, 0, 0, 0, -12, 0, -14, 10, 0, 32, -6, 0, 32, 0, 0, 48, -36, 0, 0, -72, 0, -6, -36, 0, -64, 12, 0, -6, 0, 0, -8, 2, 0, 0, 0, 0, -38, 0, 0, 18, 36, 0, -82, 0, 0, -20, -12, 0, 0, 36, 0, 24, -30, 0, 40, -58, 0, -20, 0, 0, 0, 1, 0, 0, 36, 0, -2, 32, 0, -6, -150, 0, 0, 0, 0, -30, -24, 0, 0, -50, 0, 0, 30, 0, 2, 16, 0, -12, 0, 0, 128, -40, 0, 0, 48, 0, -32, 24, 0, -36, -60, 0, 2, 0, 0, 4, 0, 0, 0, -18, 0, 30, -66, 0, 36, -16, 0, -12, 0, 0, 6, -48, 0, 0, 0, 0, -74, -16, 0, -23, 0, 0, 40, 0, 0, 42, 120, 0, 0, 16, 0, -2, -6, 0, 20, 48, 0, 48, 0, 0, 58, 14, 0, 0, -72, 0, -68, 16, 0, 0, -6, 0, -32, 0, 0, -24, 66, 0, 0, 18, 0, 0, 120, 0, 50, 0, 0, -10, 0, 0, -36, 20, 0, 0, 96, 0, -72, -26, 0, -6, -36, 0, -52, 0, 0, 48, -96, 0, 0, 4, 0, 16, -120, 0, 52, 6, 0, -54, 0, 0, -40, -20, 0, 0, 0, 0, 28, 0, 0, 24, -72, 0, -47, 0, 0, -16, 6, 0, 0, 10, 0, -6, 60, 0, -34, 36, 0, 8, 0, 0, 108, -30, 0, 0, 0, 0, 0, 16, 0, -8, 18, 0, -28, 0, 0, 12, 48, 0, 0, 4, 0, -24, 24, 0, -16, 12, 0, 0, 0, 0, -16, -58, 0, 0, 12, 0, 80, -14, 0, -96, -24, 0, -10, 0, 0, 0, -18, 0, 0, 36, 0, -96, 12, 0, -82, -20, 0, -16, 0, 0, 70, -24, 0, 0, 0, 0, -44, -64, 0, -24, -42, 0, 25, 0, 0, 30, 0, 0, 0, -20, 0, -2, -36, 0, -64, 19, 0, 48, 0, 0, 56, 2, 0, 0, 24, 0, 0, 0, 0, -12, 48, 0, -36, 0, 0, 36, 90, 0, 0, 10, 0, -48, -24, 0, 74, -28, 0, -18, 0, 0, -8, -12, 0, 0, 60, 0, 8, 72, 0, 8, 18, 0, 16, 0, 0, 48, -48, 0, 0, -6, 0, -8, 0, 0, 20, 6, 0, -36, 0, 0, 52, 0, 0, 0, -66, 0, -80, 18, 0, -54, 96, 0, -22, 0, 0, 0, -18, 0, 0, 12, 0, -12, 54, 0, -19, 14, 0, -34, 0, 0, 0, 4, 0, 0, 42, 0, -20, 0, 0, 8, 18, 0, 144, 0, 0, -12, 0, 0, 0, 46, 0, -8, -48, 0, 144, 1, 0, 18, 0, 0, -62, 0, 0, 0, 42, 0, -28, 0, 0, 0, -48, 0, 64, 0, 0, -38, -96, 0, 0, 16, 0, 24, 72, 0, 0, -64, 0, 12, 0, 0, -38, -30, 0, 0, -60, 0, 28, 4, 0, -16, -30, 0, -128, 0, 0, -60, -24, 0, 0, 36, 0, 18, -18, 0, 0, -24, 0, 0, 0, 0, -72, 2, 0, 0, 24, 0, 16, -26, 0, -24, 0, 0, -80, 0, 0, 10, 12, 0, 0, 48, 0, 6, -12, 0, 38, -32, 0, 8, 0, 0, -2, 8, 0, 0, 54, 0, -108, -4, 0, -30, -24, 0, -4, 0, 0, 96, -36, 0, 0, 16, 0, -12, -60, 0, 32, 0, 0, 30, 0, 0, -38, -16, 0, 0, 24, 0, -36, -12, 0, -36, -48, 0, -68, 0, 0, -14, 0, 0, 0, 0, 0, -30, 60, 0, 0, 20, 0, -6, 0, 0, 80, -12, 0, 0, -42, 0, 70, -26, 0, -72, 18, 0, 0, 0, 0, -18, 6, 0, 0, -14, 0, 10, -90, 0, -8, 30, 0, -12, 0, 0, -32, -72, 0, 0, 84, 0, -4, 12, 0, -24, 0, 0, -36, 0, 0, 0, 90, 0, 0, 0, 0, -36, 0, 0, 8, 14, 0, 50, 0, 0, -38, -28, 0, 0, -12, 0, 8, -14, 0, 0, -18, 0, 68, 0, 0, -84, 0, 0, 0, -16, 0, 0, -60, 0, -28, 24, 0, 12, 0, 0, -14, 64, 0, 0, -48, 0, 34, -12, 0, -48, 72, 0, 38, 0, 0, -8, 18, 0, 0, -8, 0, 0, 90, 0, -80, 40, 0, 3, 0, 0, 58, 42, 0, 0, -12, 0, 4, 0, 0, 16, -24, 0, 80, 0, 0, -24, 36, 0, 0, 0, 0, -48, 0, 0, 20, 12, 0, 24, 0, 0, 0, 27, 0, 0, 30, 0, -16, 20, 0, 54, 192, 0, 38, 0, 0, -2, 18, 0, 0, -24, 0, -12, 96, 0, 36, -58, 0, 8, 0, 0, 4, 6, 0, 0, -60, 0, 0, 10, 0, 24, -78, 0, 28, 0, 0, -48, 0, 0, 0, -40, 0, -72, 0, 0, -40, 14, 0, 120, 0, 0, 10, 32, 0, 0, 60, 0, 40, -30, 0, 0, 0, 0, -17, 0, 0, -8, 0, 0, 0, -6, 0, 36, 90, 0, -64, 0, 0, 30, 0, 0, 36, 12, 0, 0, 18, 0, 16, 8, 0, -46, -42, 0, -144, 0, 0, 0, 60, 0, 0, 46, 0, 12, -96, 0, -16, 0, 0, -12, 0, 0, 58, -10, 0, 0, 90, 0, -28, 12, 0, 18, 0, 0, 8, 0, 0, -6, -18, 0, 0, -18, 0, -12, 60, 0, -32, 108, 0, -32, 0, 0, 28, 1, 0, 0, -36, 0, 72, 28, 0, 2, 78, 0, 64, 0, 0, 30, -72, 0, 0, -26, 0, 10, -84, 0, 0, -8, 0, 0, 0, 0, 76, 44, 0, 0, 0, 0, -64, 12, 0, 12, -48, 0, 0, 0, 0, 22, 60, 0, 0, 34, 0, -24, 12, 0, -36, -40, 0, 0, 0, 0, 20, -96, 0, 0, 48, 0, 100, 8, 0, 44, 30, 0, 144, 0, 0, 12, -36, 0, 0, -26, 0, 12, 30, 0, -16, 24, 0, 0, 0, 0, 8, 14, 0, 0, -120, 0, 10, 4, 0, -6, 0, 0, -6, 0, 0, 36, 120, 0, 0, 24, 0, 30, 102, 0, -10, 8, 0, -16, 0, 0, -64, 0, 0, 0, 30, 0, 0, -36, 0, 0, 24, 0, -76, 0, 0, -36, 96, 0, 0, -72, 0, 22, 24, 0, -8, -4, 0, -96, 0, 0, 22, -24, 0, 0, -42, 0, -72, -6, 0, 12, -60, 0, 74, 0, 0, -4, 0, 0, 0, -6, 0, -48, 0, 0, -70, -52, 0, 24, 0, 0, -80, 48, 0, 0, 0, 0, -16, 0, 0, 50, -12, 0, -4, 0, 0, 0, 24, 0, 0, 46, 0, -20, -30, 0, 144, -30, 0, 48, 0, 0, 10, -46, 0, 0, 72, 0, 0, -8, 0, 30, 24, 0, -10, 0, 0, -18, 84, 0, 0, 12, 0, -66, 72, 0, -82, -32, 0, 0, 0, 0, -72, 0, 0, 0, -48, 0, 8, 70, 0, -3, 102, 0, -20, 0, 0, 36, 24, 0, 0, 100, 0, 28, 0, 0, 0, 6, 0, 0, 0, 0, 144, 44, 0, 0, 0, 0, -2, 12, 0, 36, -48, 0, 62, 0, 0, 8, 24, 0, 0, -14, 0, -24, -114, 0, 86, 16, 0, 20, 0, 0, -68, -42, 0, 0, 84, 0, 128, -50, 0, 0, 0, 0, -44, 0, 0, -66, 24, 0, 0, -4, 0, 0, 6, 0, 3, -60, 0, 60, 0, 0, -2, 62, 0, 0, -84, 0, 108, 32, 0, 6, -84, 0, -22, 0, 0, -6, -12, 0, 0, 30, 0, 66, 96, 0, 28, 26, 0, 20, 0, 0, 36, 0, 0, 0, 96, 0, 34, -68, 0, 48, -6, 0, -52, 0, 0, -12, -24, 0, 0, 0, 0, -2, -72, 0, 56, 14, 0, 18, 0, 0, 0, -108, 0, 0, 120, 0, -48, -30, 0, -48, 6, 0, 0, 0, 0, -14, -96, 0, 0, 16, 0, 48, -12, 0, -10, -80, 0, -24, 0, 0, -14, 12, 0, 0, -24, 0, 34, 10, 0, 2, -96, 0, 80, 0, 0, -48, 72, 0, 0, -8, 0, 4, -6, 0, -76, 18, 0, 12, 0, 0, 0, 38, 0, 0, -24, 0, 4, -6, 0, -12, 12, 0, -36, 0, 0, -30, 60, 0, 0, -24, 0, 0, -12, 0, -10, 103, 0, -29, 0, 0, 64, -10, 0, 0, 24, 0, -80, -4, 0, -4, -96, 0, 16, 0, 0, 12, -120, 0, 0, 76, 0, -50, 18, 0, 68, -6, 0, -30, 0, 0, -16, -76, 0, 0, 12, 0, 0, 0, 0, -72, 84, 0, -32, 0, 0, 22, -30, 0, 0, -4, 0, -48, -48, 0, -108, 0, 0, -12, 0, 0, 0, 6, 0, 0, 0, 0, 76, 36, 0, -52, -12, 0, 2, 0, 0, -18, 156, 0, 0, -44, 0, -12, 60, 0, 0, 24, 0, -60, 0, 0, 52, -8, 0, 0, -96, 0, 10, 4, 0, 78, -48, 0, -94, 0, 0, -16, 0, 0, 0, -48, 0, 0, 0, 0, 85, -10, 0, 64, 0, 0, 180, 2, 0, 0, -24, 0, -64, 16, 0, 0, -96, 0, 92, 0, 0, -96, -48, 0, 0, -62, 0, -20, 0, 0, -40, 8, 0, 12, 0, 0, -8, -4, 0, 0, -24, 0, 80, -30, 0, -24, 0, 0, 86, 0, 0, 34, -66, 0, 0, -24, 0, 0, -30, 0, -10, 0, 0, -36, 0, 0, -32, 0, 0, 0, -96, 0, 36, -56, 0, 40, -30, 0, -112, 0, 0, 24, -72, 0, 0, -62, 0, 16, 0, 0, 92, 0, 0, 0, 0, 0, -30, -22, 0, 0, -66, 0, 106, -2, 0, -60, 24, 0, 64, 0, 0, -12, 30, 0, 0, 0, 0, 12, 24, 0, 40], "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": "570.2.a.k", "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], [-2], [1], [0], [0], [-6], [0], [4], [-2], [0], [1], [-6], [0], [1], [0], [0], [-6], [0], [0], [0], [4], [0], [-2], [0], [0], [8], [1], [0], [-6], [0], [0], [-8], [1], [0], [0], [12], [0], [-2], [-6], [0], [0], [0], [0], [-3], [0], [0], [4], [-6], [0], [0], [-2], [0], [0], [12], [0], [2], [8], [0], [1], [0], [0], [16], [-6], [0], [0], [0], [0], [10], [-8], [0], [1], [12], [0], [8], [0], [0], [12], [0], [0], [0], [-2], [0], [-6], [12], [0], [-8], [0], [0], [0], [0], [0], [-8], [-3], [0], [0]]}