# Stored data for newform 8550.2.a.h, downloaded from the LMFDB on 18 April 2024.
{"label": "8550.2.a.h", "space_label": "8550.2.a", "level": 8550, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525197425156454, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2250239377264108671, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [0, 1]], [11, [1, 1]], [13, [4, 1]], [17, [-4, 1]], [23, [-5, 1]], [53, [-9, 1]]], "qexp_display": "q-q^{2}+q^{4}-q^{8}-q^{11}-4q^{13}+q^{16}+\\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": "0.020", "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": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.992", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.989", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.011", "prec": 17}], "related_objects": ["EllipticCurve/Q/8550/h"], "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, 0], "traces": [0, 1, -1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, -4, 0, 0, 1, 4, 0, -1, 0, 0, 1, 5, 0, 0, 4, 0, 0, -3, 0, -5, -1, 0, -4, 0, 0, 6, 1, 0, 0, 2, 0, -4, -1, 0, -5, 0, 0, -7, 0, 0, -4, 9, 0, 0, 0, 0, 3, 0, 0, -11, 5, 0, 1, 0, 0, 1, 4, 0, 0, -2, 0, 3, -6, 0, -1, 0, 0, 17, 0, 0, -2, 3, 0, 0, 4, 0, 1, -7, 0, 0, 5, 0, 0, 0, 0, -10, 7, 0, 0, 8, 0, -13, 4, 0, -9, 10, 0, 6, 0, 0, 0, 5, 0, 0, -3, 0, 0, 0, 0, -10, 11, 0, -5, 0, 0, 5, -1, 0, 0, -15, 0, 0, -1, 0, -4, -4, 0, -2, 0, 0, 2, 4, 0, 0, -3, 0, 6, 0, 0, -24, 1, 0, 0, 0, 0, -14, -17, 0, 0, 0, 0, -10, 2, 0, -3, 18, 0, 3, 0, 0, -4, 7, 0, 0, -1, 0, 7, 4, 0, 0, 0, 0, -5, 0, 0, -4, 0, 0, 0, -11, 0, -10, 10, 0, -7, -20, 0, 6, 0, 0, -8, 0, 0, 0, 13, 0, -4, 1, 0, -13, 9, 0, -10, 0, 0, 0, -6, 0, 0, -16, 0, 15, 0, 0, -5, 2, 0, 5, 0, 0, 3, -24, 0, 0, 0, 0, 0, 0, 0, -4, 10, 0, -11, 0, 0, 4, 5, 0, 0, -16, 0, -5, -5, 0, 1, 7, 0, 0, 0, 0, 15, -11, 0, 0, 0, 0, 1, 2, 0, 2, 4, 0, 4, 0, 0, 1, 2, 0, 0, 3, 0, 8, -2, 0, -4, 0, 0, -1, 0, 0, 3, 11, 0, 0, -6, 0, 0, -20, 0, 0, 24, 0, -1, 0, 0, 25, 0, 0, 0, -32, 0, -21, 14, 0, 17, -13, 0, 3, 0, 0, 0, -4, 0, 0, 10, 0, -2, 0, 0, 13, 3, 0, -18, 0, 0, 8, -3, 0, 0, 5, 0, 0, 4, 0, -7, -12, 0, -1, 0, 0, 1, 28, 0, 0, -7, 0, -4, -24, 0, 1, 0, 0, 0, 0, 0, 18, 5, 0, 0, 0, 0, -28, 4, 0, 0, 12, 0, -8, 0, 0, 11, -6, 0, 0, 10, 0, -10, -26, 0, 20, 7, 0, 20, 0, 0, 3, -6, 0, 0, 17, 0, 20, 8, 0, 0, -6, 0, 6, 0, 0, -13, 0, 0, 0, 4, 0, -1, 12, 0, -34, 13, 0, -9, 0, 0, 0, 10, 0, 0, -38, 0, 22, 0, 0, 6, -5, 0, 21, 0, 0, 16, -13, 0, 0, -15, 0, 0, 27, 0, -2, 5, 0, -2, 0, 0, 18, -5, 0, 0, -4, 0, -4, -3, 0, 24, -11, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 37, 0, -24, 4, 0, -10, 0, 0, -8, 11, 0, 0, -36, 0, -12, -4, 0, -5, 0, 0, -24, 0, 0, 16, -36, 0, 0, 5, 0, 5, 27, 0, 0, -1, 0, -7, 0, 0, 0, 0, 0, 0, -3, 0, -20, -15, 0, 11, -20, 0, 2, 0, 0, 0, -8, 0, 0, -1, 0, -2, 7, 0, -13, -2, 0, -4, 0, 0, -1, -4, 0, 0, 3, 0, 0, -1, 0, -2, 0, 0, 16, 0, 0, -3, 26, 0, 0, -8, 0, 2, -22, 0, -26, 4, 0, 0, 0, 0, 27, 1, 0, 0, 0, 0, -9, -3, 0, -11, -17, 0, 5, 0, 0, 6, -28, 0, 0, 0, 0, 20, -28, 0, -2, 0, 0, -24, 0, 0, 25, 1, 0, 0, 0, 0, -26, -25, 0, 0, -46, 0, -8, 0, 0, 32, 0, 0, 0, 21, 0, -14, 24, 0, 28, -17, 0, 13, 0, 0, 28, -3, 0, 0, -6, 0, 14, 0, 0, 4, -21, 0, 0, 0, 0, -10, -48, 0, 0, 2, 0, 0, 36, 0, -32, -13, 0, -3, 0, 0, -15, 18, 0, 0, 11, 0, -44, -8, 0, 3, -15, 0, 0, 0, 0, -5, -18, 0, 0, 0, 0, -4, -36, 0, 26, 7, 0, 12, 0, 0, 8, 1, 0, 0, 0, 0, -6, -1, 0, -28, 0, 0, -43, 0, 0, 7, -25, 0, 0, 4, 0, 24, 29, 0, 0, -1, 0, 0, 0, 0, 10, 0, 0, 0, -16, 0, -41, -18, 0, -5, -1, 0, -20, 0, 0, 0, -16, 0, 0, 28, 0, -4, 0, 0, 32, 0, 0, -12, 0, 0, 23, 8, 0, 0, 30, 0, 0, -11, 0, 6, 0, 0, 35, 0, 0, -10, 18, 0, 0, 10, 0, 26, -2, 0, 2, -20, 0, -7, 0, 0, -37, -20, 0, 0, 0, 0, 44, -3, 0, 6, -18, 0, 0, 0, 0, -17, -3, 0, 0, -20, 0, -8, 44, 0, -35, 0, 0, 6, 0, 0, 4, -6, 0, 0, -26, 0, 26, 13, 0, 0, 48, 0, -50, 0, 0, -4, -28, 0, 0, 1, 0, -12, 12, 0, -20, 34, 0, -13, 0, 0, 0, 9, 0, 0, 30, 0, -10, 0, 0, -10, -38, 0, -18, 0, 0, 38, 4, 0, 0, -22, 0, 0, -17, 0, -4, -6, 0, 5, 0, 0, 2, -21, 0, 0, 48, 0, 38, -16, 0, 13, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, -27, 15, 0, 36, 2, 0, -5, 0, 0, -8, 2, 0, 0, 18, 0, -3, -18, 0, 5, 0, 0, 14, 0, 0, 4, 8, 0, 0, 4, 0, 3, 12, 0, 7, -24, 0, 11, 0, 0, 10, 0, 0, 0, -33, 0, 10, 0, 0, -4, 20, 0, -12, 0, 0, 0, 3, 0, 0, 0, 0, -37, 0, 0, -6, 24, 0, -4, 0, 0, -14, 10, 0, 0, 12, 0, 0, 8, 0, -11, 46, 0, 7, 0, 0, 36, 34, 0, 0, 12, 0, 4, -20, 0, 13, 5, 0, 0, 0, 0, -37, 24, 0, 0, 0, 0, 0, -16, 0, 36, -9, 0, -54, 0, 0, -5, -22, 0, 0, -5, 0, -27, -20, 0, -12, 0, 0, 1, 0, 0, -68, 7, 0, 0, -36, 0, 29, 0, 0, 0, -44, 0, -21, 0, 0, 3, 0, 0, 0, 20, 0, 15, 62, 0, -12, -11, 0, 20, 0, 0, 0, -2, 0, 0, 50, 0, 8, 0, 0, 8, 10, 0, -55, 0, 0, 1, -18, 0, 0, 2, 0, -7, -12, 0, 0, 13, 0, 2, 0, 0, -42, 4, 0, 0, -46, 0, -38, 1, 0, 4, -45, 0, 0, 0, 0, -3, -9, 0, 0, 0, 0, 1, -56, 0, -8, 2, 0, 0, 0, 0, -20, -16, 0, 0, 0, 0, 43, 3, 0, -26, -35, 0, 28, 0, 0, 8, 13, 0, 0, -2, 0, 22, 4, 0, 0, 26, 0, -4, 0, 0, -30, 0, 0, 0, -1, 0, -48, -27, 0, -1, 28, 0, 11, 0, 0, 0, 37, 0, 0, 9, 0, 3, 0, 0, 13, 11, 0, 17, 0, 0, -10, -5, 0, 0, -27, 0, 0, -6, 0, 28, 12, 0, -6, 0, 0, 0, -42, 0, 0, -20, 0, 28, -6, 0, 33, 2, 0, 0, 0, 0, -8, 24, 0, 0, 0, 0, 43, -25, 0, -1, -6, 0, 45, 0, 0, 0, 39, 0, 0, 26, 0, 25, 33, 0, 0, 0, 0, 46, 0, 0, -40, 8, 0, 0, 12, 0, -5, -32, 0, 0, 12, 0, 16, 0, 0, -21, 0, 0, 0, 14, 0, -24, 53, 0, 40, -28, 0, 17, 0, 0, 0, -13, 0, 0, -10, 0, -1, -28, 0, 3, 4, 0, 38, 0, 0, 6, -48, 0, 0, -14, 0, 0, 6, 0, -20, -4, 0, 21, 0, 0, -29, 0, 0, 0, 34, 0, -44, 10, 0, 48, -18, 0, 0, 0, 0, -2, -32, 0, 0, 0, 0, -36, -4, 0, 6, 32, 0, 13, 0, 0, -58, 3, 0, 0, 21, 0, 20, 15, 0, -18, 0, 0, 52, 0, 0, -11, 68, 0, 0, 44, 0, 8, 2, 0, 0, -3, 0, 15, 0, 0, 0, 0, 0, 0, 25, 0, 0, 5, 0, 18, 62, 0, -1, 0, 0, 0, 26, 0, 0, 4, 0, 36, 0, 0, -10, -26, 0, -7, 0, 0, -3, -12, 0, 0, -40, 0, 0, -8, 0, -1, -5, 0, -65, 0, 0, 0, -55, 0, 0, 6, 0, 1, -70, 0, 12, 28, 0, 0, 0, 0, -24, 43, 0, 0, 21, 0, 18, -7, 0, 25, 18, 0, 6, 0, 0, -4, 67, 0, 0, -24, 0, -29, -30, 0, 15, 0, 0, 1, 0, 0, 0, 0, 0, 0, 33, 0, 18, -10, 0, 0, 0, 0, -9, 0, 0, 16, 0, 0, 0, 41, 0, 18, -20, 0, 15, 5, 0, 1, 0, 0, 0, 20, 0, 0, 65, 0, 74, 0, 0, 16, 24, 0, 46, 0, 0, -28, -6, 0, 0, 4, 0, 0, -12, 0, -17, -32, 0, 0, 0, 0, 4, 12, 0, 0, -22, 0, -28, -23, 0, -8, 12, 0, 35, 0, 0, -30, -16, 0, 0, 0, 0, 11, 2, 0, 32, -6, 0, 0, 0, 0, -27, -35, 0, 0, 5, 0, -2, 10, 0, -18, 0, 0, -2, 0, 0, -10, -58, 0, 0, -26, 0, 2, -57, 0, 0, -2, 0, 20, 0, 0, 76, 7, 0, 0, -10, 0, 40, 37, 0, 20, -3, 0, -3, 0, 0, 0, -9, 0, 0, -44, 0, 3, 0, 0, -24, -6, 0, 18, 0, 0, -49, 0, 0, 0, -30, 0, 0, 17, 0, 3, 9, 0, 2, 0, 0, 20, 36, 0, 0, 8, 0, -44, 41, 0, -58, 35, 0, 0, 0, 0, -57, -6, 0, 0, 0, 0, -10, -4, 0, 6, -26, 0, 0, 0, 0, 26, -45, 0, 0, -26, 0, -13, -40, 0, -20, 0, 0, -48, 0, 0, -6, 50, 0, 0, 24, 0, 1, 4, 0, 28, -48, 0, 63, 0, 0, -1, 0, 0, 0, 12, 0, -12, 15, 0, -37, 20, 0, -34, 0, 0, 0, 13, 0, 0, 7, 0, -54, 0, 0, -9, 38, 0, 17, 0, 0, -30, 60, 0, 0, 10, 0, 0, 30, 0, 0, 10, 0, 38, 0, 0, 32, 18, 0, 0, 20, 0, -73, -38, 0, -4, 14, 0, 0, 0, 0, 22, -44, 0, 0, 0, 0, 17, 0, 0, 72, 4, 0, 6, 0, 0, 37, -5, 0, 0, -52, 0, 55, -2, 0, 21, 0, 0, 34, 0, 0, -48, -8, 0, 0, -38, 0, 16, 33, 0, 0, -13, 0, 0, 0, 0, -28, 0, 0, 0, 16, 0, 68, -15, 0, 0, 27, 0, 16, 0, 0, 0, 10, 0, 0, 27, 0, -15, 0, 0, 20, -36, 0, -2, 0, 0, 8, 5, 0, 0, 51, 0, -42, 8, 0, -2, 85, 0, 40, 0, 0, -18, 64, 0, 0, 3, 0, 18, 0, 0, 40, -5, 0, 0, 0, 0, -18, -14, 0, 0, 0, 0, 10, -4, 0, -8, 8, 0, -27, 0, 0, -4, 24, 0, 0, -3, 0, -12, -3, 0, -70, -7, 0, 24, 0, 0, -80, -11, 0, 0, 76, 0, 81, -10, 0, 0, -33, 0, -16, 0, 0, 33, 0, 0, 0, -10, 0, 0, 75, 0, 55, 4, 0, -20, 0, 0, 0, 12, 0, 0, -46, 0, -7, 0, 0, -3, 47, 0, 15, 0, 0, 0, 42, 0, 0, 37, 0, 0, -8, 0, 20, 6, 0, -24, 0, 0, 0, 4, 0, 0, 26, 0, 24, 14, 0, -10, 0, 0, 0, 0, 0, -12, -3, 0, 0, 0, 0, -8, 54, 0, 76, 11, 0, -46, 0, 0, 13, -7, 0, 0, 54, 0, 96, -36, 0, -34, 0, 0, -4, 0, 0, -12, -24, 0, 0, -4, 0, 20, 82, 0, 0, -13, 0, -5, 0, 0, 14, 0, 0, 0, 0, 0, -15, 37, 0, -24, -79, 0, 14, 0, 0, 0, 64, 0, 0, 0, 0, 16, -14, 0, -34, -36, 0, 9, 0, 0, 68, 54, 0, 0, 0, 0, 0, 5, 0, 22, 64, 0, -40, 0, 0, 5, -10, 0, 0, 27, 0, 20, 47, 0, 56, 12, 0, 0, 0, 0, -35, -1, 0, 0, 0, 0, 41, 68, 0, -7, -40, 0, 6, 0, 0, 36, 75, 0, 0, -29, 0, 0, 30, 0, -6, 0, 0, 44, 0, 0, -5, 21, 0, 0, 57, 0, 47, -3, 0, 0, 16, 0, 0, 0, 0, -20, 0, 0, 0, -15, 0, -62, -1, 0, 11, 12, 0, 11, 0, 0, 28, -20, 0, 0, 54, 0, -78, 0, 0, 2, -9, 0, 40, 0, 0, -50, 10, 0, 0, -8, 0, 0, -26, 0, 40, -8, 0, -10, 0, 0, 90, 55, 0, 0, 2, 0, -24, -1, 0, 18, -5, 0, 0, 0, 0, -2, 4, 0, 0, 7, 0, 12, 20, 0, -2, 0, 0, -13, 0, 0, 20, -2, 0, 0, -72, 0, 18, 42, 0, -4, 0, 0, -60, 0, 0, 46, 0, 0, 0, 38, 0, -1, -6, 0, 0, -4, 0, 45, 0, 0, 40, 0, 0, 0, 10, 0, -44, 3, 0, 9, -48, 0, -47, 0, 0, 0, -26, 0, 0, -1, 0, 56, 0, 0, 15, 8, 0, -2, 0, 0, -60, 0, 0, 0, -50, 0, 0, 20, 0, 16, -19, 0, 60, 0, 0, 0, -1, 0, 0, -43, 0, -3, -28, 0, -74, 26, 0, 35, 0, 0, -66, -28, 0, 0, 0, 0, -15, -8, 0, -13, 9, 0, 22, 0, 0, 2, 57, 0, 0, -22, 0, -4, -36, 0, 41, 0, 0, -26, 0, 0, 4, 4, 0, 0, -51, 0, -8, 30, 0, 0, -70, 0, 10, 0, 0, 1, 0, 0, 0, 48, 0, 27, 37, 0, 13, 1, 0, -28, 0, 0, 0, -11, 0, 0, 13, 0, 40, 0, 0, -37, -16, 0, -16, 0, 0, -9, -59, 0, 0, -3, 0, 0, 22, 0, 11, -13, 0, -11, 0, 0, 87, -17, 0, 0, -40, 0, 0, 10, 0, 5, -12, 0, 0, 0, 0, 27, -8, 0, 0, 0, 0, 6, -65, 0, 49, -28, 0, -12, 0, 0, 76, 6, 0, 0, 8, 0, -73, 0, 0, 42, 0, 0, 8, 0, 0, 20, 21, 0, 0, -28, 0, 6, -3, 0, 49, -33, 0, -2, 0, 0, -9, 0, 0, 0, -7, 0, -5, 8, 0, -24, -54, 0, 0, 0, 0, 0, 64, 0, 0, -43, 0, 25, 0, 0, 16, 1, 0, 6, 0, 0, -85, -45, 0, 0, -28, 0, 0, 0, 0, -39, 42, 0, -85, 0, 0, -26, -15, 0, 0, -25, 0, -33, 70, 0, 50, 0, 0, 0, 0, 0, 48, -46, 0, 0, 0, 0, 4, 40, 0, -8, 30, 0, 6, 0, 0, -12, 44, 0, 0, 5, 0, 32, 15, 0, 0, 0, 0, -12, 0, 0, -2, -16, 0, 0, -22, 0, 40, 21, 0, 0, 30, 0, 40, 0, 0, -14, 0, 0, 0, 24, 0, -53, -5, 0, -40, -40, 0, 28, 0, 0, 0, -17, 0, 0, -3, 0, 0, 0, 0, 13, 0, 0, -21, 0, 0, 10, 56, 0, 0, 1, 0, 28, -43, 0, -68, -3, 0, -4, 0, 0, -34, -38, 0, 0, 80, 0, 24, -6, 0, 48, -96, 0, 0, 0, 0, 14, -15, 0, 0, 0, 0, -6, 42, 0, 21, 20, 0, 4, 0, 0, -24, -21, 0, 0, -19, 0, 47, 29, 0, 0, -63, 0, 25, 0, 0, -34, 4, 0, 0, 44, 0, -10, -36, 0, 0, -48, 0, 18, 0, 0, -14, 0, 0, 0, 66, 0, 44, 2, 0, 32, -12, 0, 0, 0, 0, 0, 26, 0, 0, 36, 0, 4, 0, 0, 2, -6, 0, -32, 0, 0, 64, -13, 0, 0, 4, 0, 0, 58, 0, -3, 36, 0, -1, 0, 0, -21, -88, 0, 0, -20, 0, -15, -56, 0, -12, 18, 0, 0, 0, 0, 38, -52, 0, 0, 0, 0, -96, 11, 0, -68, 10, 0, 0, 0, 0, -44, 21, 0, 0, -8, 0, -2, -9, 0, 18, 0, 0, 3, 0, 0, 14, -15, 0, 0, -18, 0, 6, 0, 0, 0, -4, 0, 88, 0, 0, -25, 0, 0, 0, 0, 0, -5, -57, 0, 35, -18, 0, -62, 0, 0, 0, 1, 0, 0, -100, 0, 52, 0, 0, -26, 2, 0, -54, 0, 0, -4, -22, 0, 0, -36, 0, 0, 35, 0, 16, 10, 0, 26, 0, 0, 68, 7, 0, 0, -40, 0, 0, 3, 0, 12, 51, 0, 0, 0, 0, 40, -50, 0, 0, 0, 0, 8, 15, 0, 26, 1, 0, 5, 0, 0, 73, 65, 0, 0, -93, 0, 37, 0, 0, 55, 0, 0, 28, 0, 0, -6, 30, 0, 0, -1, 0, 70, -75, 0, 0, -12, 0, -28, 0, 0, -7, 0, 0, 0, 0, 0, 8, 24, 0, -43, -42, 0, 72, 0, 0, -21, 76, 0, 0, -18, 0, 7, 0, 0, -80, -25, 0, -18, 0, 0, -13, -6, 0, 0, -66, 0, 0, 4, 0, -67, 0, 0, 24, 0, 0, 24, 12, 0, 0, 29, 0, 30, -8, 0, -4, -15, 0, 0, 0, 0, 31, -1, 0, 0, 0, 0, 11, 0, 0, 0, -92, 0, -60, 0, 0, -33, 54, 0, 0, -18, 0, 10, 6, 0, -4, 0, 0, 0, 0, 0, 22, 9, 0, 0, 25, 0, 102, -16, 0, 0, -47, 0, -24, 0, 0, -41, 0, 0, 0, -18, 0, 20, 82, 0, 28, -15, 0, -5, 0, 0, 0, -1, 0, 0, -8, 0, -96, 0, 0, -20, 42, 0, -2, 0, 0, -65, -16, 0, 0, -74, 0, 0, -92, 0, 20, -16, 0, -24, 0, 0, -20, -46, 0, 0, -2, 0, 14, 28, 0, 6, 39, 0, 77, 0, 0, -4, 6, 0, 0, 0, 0, 12, -93, 0, 68, 17, 0, 32, 0, 0, 50, 0, 0, 0, 96, 0, -75, -4, 0, -12, 0, 0, -40, 0, 0, 22, -12, 0, 0, 28, 0, 23, 96, 0, 0, 8, 0, -12, 0, 0, -67, -35, 0, 0, -6, 0, 16, 30, 0, 16, -1, 0, 19, 0, 0, 0, 8, 0, 0, -11, 0, -2, 0, 0, 88, -32, 0, 6, 0, 0, 105, 0, 0, 0, 18, 0, 0, 27, 0, 35, 0, 0, -106, 0, 0, -5, -36, 0, 0, 2, 0, -10, -90, 0, -3, 18, 0, 0, 0, 0, 10, 2, 0, 0, 0, 0, -30, 10, 0, 58, 0, 0, -26, 0, 0, 26, -8, 0, 0, -2, 0, 57, -104, 0, 17, 0, 0, 2, 0, 0, 0, -20, 0, 0, -40, 0, 16, -76, 0, -7, 91, 0, -12, 0, 0, 10, 0, 0, 0, -40, 0, -37, 0, 0, -20, -20, 0, 3, 0, 0, 0, 3, 0, 0, -18, 0, -50, 0, 0, 9, 66, 0, -46, 0, 0, 44, -18, 0, 0, -3, 0, 0, 1, 0, 82, 24, 0, 6, 0, 0, -17, -18, 0, 0, 12, 0, 65, 49, 0, 0, -10, 0, 0, 0, 0, 30, 51, 0, 0, 0, 0, -17, -94, 0, -3, -3, 0, -9, 0, 0, 93, -2, 0, 0, 71, 0, -11, -20, 0, -36, 0, 0, 100, 0, 0, -8, -99, 0, 0, 44, 0, -41, 34, 0, 0, 58, 0, -35, 0, 0, -44, 0, 0, 0, -88, 0, -90, 57, 0, 6, 107, 0, 41, 0, 0, 0, 64, 0, 0, 10, 0, 4, 0, 0, 43, -6, 0, 26, 0, 0, -15, 0, 0, 0, -40, 0, -7, -26, 0, 45, -7, 0, 20, 0, 0, 26, -42, 0, 0, 13, 0, 40, 48, 0, -60, 20, 0, 0, 0, 0, 10, 48, 0, 0, 0, 0, -5, 6, 0, -50, -50, 0, -79, 0, 0, -24, 107, 0, 0, -1, 0, -4, 56, 0, 30, -28, 0, 48, 0, 0, 0, -63, 0, 0, -28, 0, 11, 1, 0, 0, 48, 0, -80, 0, 0, -12, 0, 0, 0, 12, 0, -15, -84, 0, -86, 37, 0, -20, 0, 0, 0, 34, 0, 0, -82, 0, 36, 0, 0, -13, -25, 0, -30, 0, 0, -7, 24, 0, 0, 54, 0, 0, -54, 0, -46, 9, 0, -38, 0, 0, -68, -17, 0, 0, -4, 0, 6, 30, 0, -60, 99, 0, 0, 0, 0, -10, 75, 0, 0, 0, 0, -30, 44, 0, 32, 0, 0, -10, 0, 0, 0, -38, 0, 0, 0, 0, -34, -32, 0, -18, 0, 0, 0, 0, 0, -20, 21, 0, 0, 73, 0, 38, -41, 0, 0, 4, 0, -14, 0, 0, 52, 0, 0, 0, 18, 0, -36, -22, 0, 44, -20, 0, -69, 0, 0, 0, -120, 0, 0, -17, 0, 0, 14, 0, -59, -72, 0, -4, 0, 0, 13, -6, 0, 0, 48, 0, 0, -37, 0, 5, -8, 0, -36, 0, 0, 52, -25, 0, 0, -55, 0, 2, 30, 0, -16, -21, 0, 0, 0, 0, 12, -34, 0, 0, 0, 0, -8, 48, 0, 8, -30, 0, -86, 0, 0, 38, -65, 0, 0, -16, 0, -33, -65, 0, -46, 0, 0, 13, 0, 0, 0, 0, 0, 0, 9, 0, 4, 28, 0, 0, -6, 0, 10, 0, 0, -16, 0, 0, 0, -68, 0, 15, -12, 0, -63, 0, 0, -27, 0, 0, -21, -16, 0, 0, 72, 0, -24, 0, 0, -10, -52, 0, -60, 0, 0, -27, -31, 0, 0, 15, 0, 0, 0, 0, -4], "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": "2850.2.a.l", "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], [0], [-1], [0], [0], [-1], [0], [-4], [0], [0], [1], [4], [0], [-1], [0], [0], [1], [5], [0], [0], [4], [0], [0], [-3], [0], [-5], [-1], [0], [-4], [0], [0], [6], [1], [0], [0], [2], [0], [-4], [-1], [0], [-5], [0], [0], [-7], [0], [0], [-4], [9], [0], [0], [0], [0], [3], [0], [0], [-11], [5], [0], [1], [0], [0], [1], [4], [0], [0], [-2], [0], [3], [-6], [0], [-1], [0], [0], [17], [0], [0], [-2], [3], [0], [0], [4], [0], [1], [-7], [0], [0], [5], [0], [0], [0], [0], [-10], [7], [0], [0]]}