# Stored data for newform 8550.2.a.bq, downloaded from the LMFDB on 23 April 2024.
{"label": "8550.2.a.bq", "space_label": "8550.2.a", "level": 8550, "weight": 2, "hecke_orbit": 43, "hecke_orbit_code": 189151184383123814, "dim": 2, "is_polredabs": true, "nf_label": "2.2.40.1", "trace_hash": 142530217585764275, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [-10, 0, 1]], [11, [-9, 2, 1]], [13, [-6, -4, 1]], [17, [6, 8, 1]], [23, [-39, 2, 1]], [53, [15, 10, 1]]], "qexp_display": "q-q^{2}+q^{4}+\\beta q^{7}-q^{8}+(-1-\\beta )q^{11}+\\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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [8550, 1, [1901, 1027, 1351], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 5, 19], "conrey_indexes": [1], "field_disc": 40, "field_disc_factorization": [[2, 3], [5, 1]], "field_poly": [-10, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.034", "prec": 17}, {"__RealLiteral__": 0, "data": "1.981", "prec": 17}, {"__RealLiteral__": 0, "data": "0.203", "prec": 17}, {"__RealLiteral__": 0, "data": "9.860", "prec": 17}, {"__RealLiteral__": 0, "data": "0.825", "prec": 17}, {"__RealLiteral__": 0, "data": "68.281", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, 1], [19, 1]], "trace_display": [-2, 0, 0, 0], "traces": [0, 2, -2, 0, 2, 0, 0, 0, -2, 0, 0, -2, 0, 4, 0, 0, 2, -8, 0, -2, 0, 0, 2, -2, 0, 0, -4, 0, 0, 14, 0, -2, -2, 0, 8, 0, 0, 20, 2, 0, 0, 0, 0, -12, -2, 0, 2, -12, 0, 6, 0, 0, 4, -10, 0, 0, 0, 0, -14, -4, 0, -2, 2, 0, 2, 0, 0, 6, -8, 0, 0, 4, 0, -2, -20, 0, -2, -20, 0, 2, 0, 0, 0, 6, 0, 0, 12, 0, 2, 2, 0, 20, -2, 0, 12, 0, 0, 20, -6, 0, 0, -4, 0, 6, -4, 0, 10, -32, 0, 28, 0, 0, 0, 6, 0, 0, 14, 0, 4, 20, 0, 0, 2, 0, -2, 0, 0, 6, -2, 0, 0, 6, 0, 0, -6, 0, 8, 8, 0, 24, 0, 0, -4, -24, 0, 0, 2, 0, 20, -8, 0, -20, 2, 0, 20, 0, 0, 24, -2, 0, 0, 40, 0, -20, 0, 0, -6, 20, 0, 2, 0, 0, -12, -2, 0, 0, -2, 0, -2, 16, 0, 12, -20, 0, 2, 0, 0, -12, -12, 0, 0, -18, 0, -12, -20, 0, 6, 4, 0, -12, 0, 0, 4, -20, 0, 0, -6, 0, 4, 2, 0, -6, -10, 0, 32, 0, 0, 40, -28, 0, 0, 4, 0, -26, 0, 0, -6, 4, 0, 10, 0, 0, -14, -8, 0, 0, -4, 0, -20, 36, 0, 40, 0, 0, -2, 0, 0, -4, 2, 0, 0, -4, 0, -38, -6, 0, 2, 26, 0, 0, 0, 0, -6, -26, 0, 0, 0, 0, 6, -12, 0, 4, -8, 0, -8, 0, 0, 18, -24, 0, 0, 10, 0, 24, 4, 0, 24, 40, 0, 18, 0, 0, -2, -14, 0, 0, -20, 0, 8, 36, 0, -20, 20, 0, -2, 0, 0, 46, -20, 0, 0, 52, 0, -34, -24, 0, 2, -2, 0, 6, 0, 0, -40, 8, 0, 0, 20, 0, 0, 0, 0, -38, 6, 0, -20, 0, 0, 32, -2, 0, 0, -38, 0, 0, 12, 0, 2, 40, 0, -42, 0, 0, 2, -16, 0, 0, 2, 0, -16, 36, 0, 2, -12, 0, 20, 0, 0, 4, -2, 0, 0, 20, 0, 12, 12, 0, 12, 8, 0, 8, 0, 0, 18, -12, 0, 0, 12, 0, 20, 44, 0, 48, -6, 0, -4, 0, 0, -10, 12, 0, 0, -2, 0, 36, -4, 0, 20, -20, 0, -28, 0, 0, 6, 60, 0, 0, -4, 0, -2, -16, 0, 12, 6, 0, 10, 0, 0, -20, -32, 0, 0, -12, 0, 12, -40, 0, 28, 2, 0, 2, 0, 0, -4, 30, 0, 0, 26, 0, 0, 22, 0, -40, 6, 0, -4, 0, 0, 32, -10, 0, 0, -24, 0, -56, 14, 0, 8, 30, 0, -60, 0, 0, 4, 32, 0, 0, 20, 0, -36, 42, 0, 40, -40, 0, 0, 0, 0, -32, 2, 0, 0, 0, 0, -76, 4, 0, -2, -20, 0, 20, 0, 0, 4, 8, 0, 0, 38, 0, 6, -2, 0, 0, -2, 0, -26, 0, 0, 12, 0, 0, 0, -2, 0, -8, 6, 0, 26, 48, 0, 36, 0, 0, 0, 40, 0, 0, -6, 0, 12, -6, 0, 6, -4, 0, 8, 0, 0, -2, 8, 0, 0, -14, 0, -40, -18, 0, 24, 52, 0, -44, 0, 0, -10, -56, 0, 0, -24, 0, -4, -44, 0, 0, -24, 0, -40, 0, 0, -46, -18, 0, 0, -60, 0, -10, 2, 0, 14, 6, 0, 2, 0, 0, 20, -8, 0, 0, -8, 0, -36, 40, 0, 60, 20, 0, -20, 0, 0, 42, 2, 0, 0, -24, 0, -4, -46, 0, 20, 36, 0, 28, 0, 0, -52, 40, 0, 0, 34, 0, 24, -80, 0, 40, -2, 0, 2, 0, 0, 12, -6, 0, 0, 24, 0, -12, 40, 0, -8, 18, 0, -56, 0, 0, -20, 24, 0, 0, 0, 0, 0, 68, 0, 24, 38, 0, -6, 0, 0, -54, 20, 0, 0, 22, 0, -8, -32, 0, 2, -18, 0, -60, 0, 0, 38, -8, 0, 0, 0, 0, -12, 0, 0, 8, -2, 0, -40, 0, 0, 40, 42, 0, 0, 24, 0, -20, -2, 0, 16, 100, 0, 66, 0, 0, -2, 82, 0, 0, 16, 0, -36, -26, 0, 80, -2, 0, 12, 0, 0, -36, -20, 0, 0, 28, 0, 82, -4, 0, 2, 54, 0, 0, 0, 0, -20, 16, 0, 0, -12, 0, -12, 20, 0, -52, -12, 0, -8, 0, 0, -54, -8, 0, 0, 60, 0, -40, -18, 0, 12, 52, 0, 82, 0, 0, -12, 20, 0, 0, -20, 0, -44, 0, 0, 16, -48, 0, 6, 0, 0, 50, 4, 0, 0, -80, 0, -24, 10, 0, -12, -32, 0, 48, 0, 0, 2, 2, 0, 0, -36, 0, 4, 40, 0, 54, -20, 0, 20, 0, 0, 12, 28, 0, 0, -80, 0, -4, -6, 0, -60, -4, 0, 24, 0, 0, 4, -24, 0, 0, 2, 0, 16, 32, 0, 60, -12, 0, -6, 0, 0, 40, -10, 0, 0, -20, 0, 52, 20, 0, 32, -64, 0, -36, 0, 0, 12, -72, 0, 0, -12, 0, 40, 38, 0, -48, -28, 0, -2, 0, 0, 28, -2, 0, 0, -16, 0, -40, 4, 0, -30, -56, 0, 80, 0, 0, -26, 12, 0, 0, 0, 0, -22, -54, 0, 60, 40, 0, -6, 0, 0, -52, 4, 0, 0, 52, 0, 54, -32, 0, 10, 60, 0, -44, 0, 0, 24, -12, 0, 0, 56, 0, -14, 24, 0, -6, -8, 0, -30, 0, 0, -28, 60, 0, 0, -34, 0, 80, -4, 0, -32, 96, 0, -4, 0, 0, -20, 94, 0, 0, 36, 0, -42, -40, 0, 20, -40, 0, 40, 0, 0, 36, 0, 0, 0, -44, 0, 60, 32, 0, -2, 32, 0, -42, 0, 0, 0, 28, 0, 0, 76, 0, -4, -28, 0, -2, 2, 0, 20, 0, 0, 46, -20, 0, 0, -60, 0, 76, -4, 0, -8, 10, 0, 60, 0, 0, -38, -8, 0, 0, -6, 0, 2, -16, 0, -28, 0, 0, 2, 0, 0, -36, 26, 0, 0, 28, 0, 22, -12, 0, 0, -12, 0, 34, 0, 0, 2, -80, 0, 0, 8, 0, -6, -28, 0, 16, -26, 0, -48, 0, 0, 0, -36, 0, 0, 8, 0, -4, 0, 0, -40, 40, 0, 14, 0, 0, 6, 140, 0, 0, -12, 0, 6, -48, 0, 12, -6, 0, 4, 0, 0, 4, -8, 0, 0, -8, 0, 88, 2, 0, -8, -26, 0, 40, 0, 0, 14, 22, 0, 0, 40, 0, 18, -12, 0, -96, -24, 0, -52, 0, 0, -24, 44, 0, 0, 4, 0, 70, 10, 0, 56, -6, 0, -80, 0, 0, 24, -86, 0, 0, 4, 0, 44, -84, 0, -80, 0, 0, 24, 0, 0, -20, 40, 0, 0, -10, 0, 32, 46, 0, 18, 44, 0, 2, 0, 0, 60, -90, 0, 0, 10, 0, -2, -80, 0, 2, -14, 0, -6, 0, 0, 12, -2, 0, 0, 6, 0, 80, -20, 0, 8, 36, 0, -40, 0, 0, 8, 32, 0, 0, 36, 0, -40, 12, 0, -46, -60, 0, -20, 0, 0, -36, 20, 0, 0, 20, 0, -34, -42, 0, -2, -4, 0, 50, 0, 0, 24, -58, 0, 0, 4, 0, 46, -10, 0, -44, -20, 0, -36, 0, 0, 44, -28, 0, 0, 8, 0, 74, 52, 0, -40, -64, 0, -16, 0, 0, -34, 80, 0, 0, -24, 0, 80, -18, 0, -20, -40, 0, 2, 0, 0, 20, -2, 0, 0, 80, 0, -6, -12, 0, 6, 88, 0, -28, 0, 0, -24, -28, 0, 0, 12, 0, -40, -28, 0, -36, 8, 0, -18, 0, 0, -30, 56, 0, 0, 16, 0, 24, 20, 0, -24, -84, 0, 60, 0, 0, 0, 92, 0, 0, 0, 0, -68, 104, 0, -60, -24, 0, -38, 0, 0, -60, 6, 0, 0, -18, 0, -28, 54, 0, -20, -80, 0, 92, 0, 0, -22, -48, 0, 0, 8, 0, 32, -4, 0, -20, -2, 0, 18, 0, 0, 124, 60, 0, 0, 34, 0, -84, -38, 0, 8, -36, 0, 126, 0, 0, 0, -28, 0, 0, 12, 0, 0, 140, 0, 36, -8, 0, 2, 0, 0, 2, 40, 0, 0, -44, 0, -80, -40, 0, -42, -86, 0, 2, 0, 0, -24, -38, 0, 0, 20, 0, 2, -48, 0, -84, -16, 0, -100, 0, 0, 16, -66, 0, 0, 42, 0, -28, 2, 0, -82, 64, 0, -24, 0, 0, -16, -122, 0, 0, 36, 0, 26, 4, 0, -66, -80, 0, 2, 0, 0, -36, -12, 0, 0, 50, 0, -28, 36, 0, 20, 12, 0, 26, 0, 0, -28, 20, 0, 0, -82, 0, 4, -68, 0, -90, -2, 0, -54, 0, 0, -100, 0, 0, 0, -30, 0, 72, 20, 0, -16, -80, 0, -88, 0, 0, 12, 32, 0, 0, 12, 0, -20, 64, 0, -2, 52, 0, 12, 0, 0, 32, 8, 0, 0, 28, 0, 32, 54, 0, 8, 0, 0, -6, 0, 0, -60, -28, 0, 0, 40, 0, 18, -84, 0, -16, -12, 0, -52, 0, 0, -90, -82, 0, 0, -126, 0, 68, 12, 0, -20, -40, 0, -112, 0, 0, 20, 24, 0, 0, 44, 0, 0, 74, 0, -80, -16, 0, 48, 0, 0, 48, -6, 0, 0, -60, 0, 40, -50, 0, -4, -6, 0, -50, 0, 0, 80, -62, 0, 0, 24, 0, -10, 0, 0, -120, 12, 0, 32, 0, 0, -26, -48, 0, 0, 12, 0, 20, -2, 0, -2, -86, 0, 12, 0, 0, 36, 96, 0, 0, -4, 0, -40, -94, 0, 36, -54, 0, 20, 0, 0, -78, -20, 0, 0, 100, 0, -44, -12, 0, -28, 92, 0, 88, 0, 0, 80, 50, 0, 0, 4, 0, 6, -140, 0, 92, 60, 0, 4, 0, 0, -16, -24, 0, 0, 20, 0, -18, -4, 0, 24, -60, 0, 70, 0, 0, -2, 40, 0, 0, -16, 0, -32, 2, 0, -2, -60, 0, 12, 0, 0, -60, 6, 0, 0, -2, 0, 48, -40, 0, 10, 36, 0, -134, 0, 0, 20, 72, 0, 0, -52, 0, -20, -28, 0, -88, -32, 0, 64, 0, 0, 116, 36, 0, 0, -104, 0, 110, -12, 0, 72, -64, 0, -20, 0, 0, 12, -76, 0, 0, -40, 0, -38, -120, 0, 48, 48, 0, 28, 0, 0, -54, 2, 0, 0, 56, 0, 82, -28, 0, 2, 80, 0, 12, 0, 0, 16, -40, 0, 0, 40, 0, -4, 6, 0, -20, 30, 0, 56, 0, 0, -32, -80, 0, 0, -24, 0, -48, 26, 0, -12, -2, 0, 20, 0, 0, 0, 100, 0, 0, 22, 0, 54, 40, 0, -56, -60, 0, -40, 0, 0, 108, 6, 0, 0, 34, 0, 60, 52, 0, -4, -82, 0, 148, 0, 0, -52, -24, 0, 0, -54, 0, 32, 124, 0, -104, -10, 0, -60, 0, 0, 60, 44, 0, 0, -120, 0, -20, -24, 0, 12, 20, 0, 6, 0, 0, -56, -152, 0, 0, 14, 0, -24, -82, 0, -24, 6, 0, 8, 0, 0, 96, 30, 0, 0, 24, 0, 42, 28, 0, -60, -54, 0, 16, 0, 0, 34, -40, 0, 0, -80, 0, 4, -70, 0, -38, 32, 0, -96, 0, 0, -20, 4, 0, 0, 88, 0, -18, 20, 0, -94, 26, 0, -126, 0, 0, -36, -24, 0, 0, 42, 0, 40, 4, 0, -104, -20, 0, 40, 0, 0, 0, -40, 0, 0, -120, 0, 80, -36, 0, 0, -96, 0, 100, 0, 0, 44, 102, 0, 0, -60, 0, -32, -32, 0, 68, 2, 0, -32, 0, 0, -6, 42, 0, 0, -100, 0, -40, 0, 0, -28, -80, 0, -96, 0, 0, -76, 68, 0, 0, 4, 0, 28, 84, 0, 80, 2, 0, -2, 0, 0, -108, -20, 0, 0, -32, 0, 46, -46, 0, 20, 78, 0, -68, 0, 0, 60, -136, 0, 0, -76, 0, 4, 0, 0, -124, 8, 0, -10, 0, 0, -48, -60, 0, 0, 72, 0, -160, 38, 0, 8, -60, 0, 112, 0, 0, 6, 32, 0, 0, -2, 0, 16, -30, 0, 88, 28, 0, 0, 0, 0, 78, -2, 0, 0, -60, 0, -154, 36, 0, -26, 40, 0, 48, 0, 0, -28, -74, 0, 0, -22, 0, 12, -112, 0, -28, 0, 0, 12, 0, 0, -126, -34, 0, 0, 118, 0, 50, -2, 0, 80, 44, 0, 48, 0, 0, -8, 60, 0, 0, 6, 0, 28, -58, 0, 98, -16, 0, 26, 0, 0, -36, 48, 0, 0, -36, 0, -56, 0, 0, 36, -14, 0, -120, 0, 0, -8, 32, 0, 0, 4, 0, 0, 124, 0, -56, 40, 0, -40, 0, 0, 64, -14, 0, 0, -156, 0, -16, -6, 0, -140, -6, 0, -60, 0, 0, 12, 40, 0, 0, -6, 0, 48, 56, 0, 12, -12, 0, 6, 0, 0, -144, -4, 0, 0, -40, 0, 40, -4, 0, 8, 0, 0, 68, 0, 0, 8, -40, 0, 0, -88, 0, -2, 92, 0, 40, 8, 0, 26, 0, 0, 32, -40, 0, 0, -44, 0, -92, -14, 0, -22, -56, 0, -22, 0, 0, -40, 104, 0, 0, -18, 0, 12, -20, 0, -38, 96, 0, 24, 0, 0, 36, 52, 0, 0, -140, 0, -120, 24, 0, -44, 26, 0, -32, 0, 0, -4, -2, 0, 0, -70, 0, -10, 16, 0, -52, -56, 0, 6, 0, 0, -20, 80, 0, 0, -20, 0, 2, -24, 0, 86, 26, 0, -140, 0, 0, -4, -34, 0, 0, -44, 0, 84, 40, 0, 110, 80, 0, 0, 0, 0, -80, -24, 0, 0, 54, 0, -20, 20, 0, -40, -156, 0, 0, 0, 0, 10, -36, 0, 0, -32, 0, -46, -58, 0, 86, -18, 0, -44, 0, 0, 100, -2, 0, 0, 106, 0, 204, -60, 0, 90, 112, 0, -72, 0, 0, -10, 18, 0, 0, 2, 0, 80, -20, 0, -50, -2, 0, 14, 0, 0, -42, 6, 0, 0, -96, 0, 44, -12, 0, 2, 20, 0, -120, 0, 0, -6, -36, 0, 0, -80, 0, 20, 154, 0, -2, -8, 0, -36, 0, 0, -96, 40, 0, 0, -8, 0, -18, -8, 0, -32, -20, 0, 72, 0, 0, -36, -74, 0, 0, 40, 0, -12, 114, 0, -122, 46, 0, 60, 0, 0, 102, 20, 0, 0, -70, 0, -6, 36, 0, -20, -4, 0, 120, 0, 0, -20, 48, 0, 0, 34, 0, 42, 0, 0, 36, 2, 0, 4, 0, 0, -66, -50, 0, 0, 8, 0, 20, -24, 0, 58, -44, 0, -82, 0, 0, -4, 106, 0, 0, -46, 0, 10, 140, 0, 72, 44, 0, 20, 0, 0, -72, 36, 0, 0, -100, 0, -112, -44, 0, 28, 92, 0, 60, 0, 0, -8, -116, 0, 0, -74, 0, -52, -6, 0, 60, 40, 0, 64, 0, 0, -4, 16, 0, 0, -40, 0, -116, 34, 0, -80, -108, 0, -44, 0, 0, 24, -40, 0, 0, -80, 0, 18, -30, 0, 16, 20, 0, 40, 0, 0, 0, -2, 0, 0, -154, 0, -48, -20, 0, 2, -36, 0, -42, 0, 0, -80, 32, 0, 0, 6, 0, 12, 66, 0, 40, -6, 0, -88, 0, 0, 36, 28, 0, 0, 148, 0, -92, 24, 0, 28, 80, 0, -60, 0, 0, -12, -126, 0, 0, 40, 0, 28, 24, 0, -26, 36, 0, -8, 0, 0, -104, 18, 0, 0, -54, 0, -110, 30, 0, -56, -30, 0, -166, 0, 0, -16, -8, 0, 0, -24, 0, -20, -80, 0, -140, 24, 0, 84, 0, 0, 12, -60, 0, 0, 60, 0, 32, 0, 0, -92, 40, 0, -76, 0, 0, 0, -36, 0, 0, 68, 0, -104, 100, 0, -24, 60, 0, 24, 0, 0, -72, 38, 0, 0, 20, 0, 120, 60, 0, -6, -40, 0, -78, 0, 0, 18, -64, 0, 0, 28, 0, -54, -56, 0, 16, 20, 0, 80, 0, 0, -100, -92, 0, 0, 60, 0, -8, 22, 0, 48, 52, 0, -32, 0, 0, -8, 138, 0, 0, -32, 0, 4, -86, 0, -20, 20, 0, 2, 0, 0, -12, -18, 0, 0, -4, 0, -92, -124, 0, -60, 24, 0, 60, 0, 0, -34, 80, 0, 0, 84, 0, 38, 70, 0, 50, -8, 0, 36, 0, 0, -180, -126, 0, 0, 100, 0, -112, 0, 0, 28, -120, 0, -44, 0, 0, -12, -28, 0, 0, 0, 0, -140, 78, 0, -76, -36, 0, 8, 0, 0, -20, -2, 0, 0, 0, 0, 24, -2, 0, -40, 86, 0, 140, 0, 0, 44, 80, 0, 0, 80, 0, 40, 6, 0, 124, 42, 0, 86, 0, 0, 22, -2, 0, 0, -30, 0, -14, 24, 0, 38, -80, 0, -36, 0, 0, -20, 200, 0, 0, -2, 0, 48, 66, 0, 60, 84, 0, 16, 0, 0, -66, 100, 0, 0, 8, 0, -8, -16, 0, 66, -20, 0, -160, 0, 0, -42, -132, 0, 0, 28, 0, -2, -200, 0, -72, 82, 0, -64, 0, 0, -22, 24, 0, 0, 36, 0, 40, 16, 0, 122, 12, 0, 20, 0, 0, -36, 72, 0, 0, -26, 0, -4, 48, 0, 24, 66, 0, 80, 0, 0, 50, -2, 0, 0, -12, 0, 146, 36, 0, 12, 16, 0, -132, 0, 0, -50, 4, 0, 0, 28, 0, -36, 100, 0, -40, -20, 0, -12, 0, 0, 116, -26, 0, 0, 154, 0, 20, 28, 0, -20, -86, 0, -128, 0, 0, 82, 0, 0, 0, -4, 0, 68, -20, 0, 28, 90, 0, 2, 0, 0, 80, 54, 0, 0, 8, 0, 48, 100, 0, 0, -140, 0, 52, 0, 0, 30, -16, 0, 0, -72, 0, -20, 0, 0, -124, 16, 0, 80, 0, 0, 40, 88, 0, 0, 16, 0, -24, -12, 0, -32, -38, 0, -6, 0, 0, -12, 0, 0, 0, 20, 0, -64, 18, 0, 0, 2, 0, -52, 0, 0, -140, -12, 0, 0, -64, 0, 114, -32, 0, -8, 40, 0, 100, 0, 0, -28, 48, 0, 0, -32, 0, -54, 84, 0, 140, -8, 0, 0, 0, 0, -54, 6, 0, 0, -20, 0, 16, 60, 0, 28, -118, 0, 46, 0, 0, -40, -4, 0, 0, -18, 0, 84, -40, 0, -32, 16, 0, 12, 0, 0, 74, 52, 0, 0, 60, 0, 80, 90, 0, 82, -28, 0, -44, 0, 0, 126, -48, 0, 0, -68, 0, -12, -12, 0, 70, 20, 0, 40, 0, 0, 20, 112, 0, 0, -20, 0, -244, -20, 0, -24, 112, 0, 40, 0, 0, -44, -104, 0, 0, 0, 0, -74, 40, 0, 6, 80, 0, 16, 0, 0, 80, -48, 0, 0, 204, 0, 20, -48, 0, 6, 74, 0, 12, 0, 0, 60, 0, 0, 0, -40, 0, 50, -36, 0, -88, 4, 0, 6, 0, 0, -40, 50, 0, 0, 236, 0, -32, -80, 0, 62, -36, 0, 52, 0, 0, -24, -20, 0, 0, 10, 0, 0, 142, 0, -40, 120, 0, -12, 0, 0, -86, -32, 0, 0, -64, 0, 154, 26, 0, 48, 96, 0, -40, 0, 0, -12, -18, 0, 0, -20, 0, 2, -28, 0, -2, 2, 0, 86, 0, 0, 30, -12, 0, 0, 30, 0, 74, -36, 0, -96, 0, 0, -92, 0, 0, 4, -10, 0, 0, 40, 0, 94, -80, 0, 40, -36, 0, 54, 0, 0, -8, -20, 0, 0, 24, 0, -12, 78, 0, 20, 82, 0, -90, 0, 0, -100, 72, 0, 0, 44, 0, 12, 140, 0, -30, 28, 0, -92, 0, 0, 122, -88, 0, 0, 28, 0, 18, -80, 0, -50, 2, 0, -96, 0, 0, -4, 20, 0, 0, -6, 0, 140, -112, 0, 24, -92, 0, -60, 0, 0, -60, -4, 0, 0, 140, 0, -26, 16, 0, 24, 72, 0, -34, 0, 0, -20, 42, 0, 0, 18, 0, 4, 64, 0, 120, -24, 0, 60, 0, 0, -24, -70, 0, 0, 92, 0, -110, 2, 0, -40, 100, 0, 124, 0, 0, 16, 120, 0, 0, 32, 0, -2, 160, 0, 72, 2, 0, 60, 0, 0, 200, -12, 0, 0, -180, 0, 88, 60, 0, -6, 14, 0, -108, 0, 0, 2, -32, 0, 0, -48, 0, 40, -28, 0, -68, -10, 0, -36, 0, 0, 28, 134, 0, 0, -16, 0, -120, -20, 0, -72, -34, 0, -80, 0, 0, 52, 14, 0, 0, 20, 0, 28, -172, 0, -52, 88, 0, 32, 0, 0, -152, -64, 0, 0, 12, 0, 52, -116, 0, -36, 0, 0, -12, 0, 0, 104, -6, 0, 0, -110, 0, 12, -46, 0, 220, -72, 0, 64, 0, 0, -72, 20, 0, 0, 88, 0, -24, -12, 0, 76, 12, 0, 86, 0, 0, 40, 20, 0, 0, 38, 0, 120, 12, 0, 70, -48, 0, -48, 0, 0, 22, -28, 0, 0, 0, 0, -100, 54, 0, -2, -64, 0, 72, 0, 0, -56, -166, 0, 0, -82, 0, 28, -40, 0, -96, -2, 0, -80, 0, 0, -76, -12, 0, 0, 160, 0, -12, -16, 0, 40, -116, 0, 68, 0, 0, -40, -46, 0, 0, 4, 0, -6, 66, 0, 4, 20, 0, -30, 0, 0, 0, -56, 0, 0, -90, 0, 12, 32, 0, 80, 12, 0, -92, 0, 0, 24, -100, 0, 0, 48, 0, -26, 24, 0, 126, 12, 0, 2, 0, 0, -6, -20, 0, 0, -60, 0, -24, 0, 0, -100, -76, 0, 200, 0, 0, -22, 106, 0, 0, -54, 0, -40, -56, 0, 136], "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.bf", "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, 0], [1, 0], [-1, 0], [0, 0], [1, 0], [0, 0], [0, 0], [0, 1], [-1, 0], [0, 0], [0, 0], [-1, -1], [0, 0], [2, 1], [0, -1], [0, 0], [1, 0], [-4, 1], [0, 0], [-1, 0], [0, 0], [0, 0], [1, 1], [-1, 2], [0, 0], [0, 0], [-2, -1], [0, 0], [0, 1], [7, -1], [0, 0], [-1, 2], [-1, 0], [0, 0], [4, -1], [0, 0], [0, 0], [10, 0], [1, 0], [0, 0], [0, 0], [0, 2], [0, 0], [-6, -1], [-1, -1], [0, 0], [1, -2], [-6, 0], [0, 0], [3, 0], [0, 0], [0, 0], [2, 1], [-5, 1], [0, 0], [0, 0], [0, -1], [0, 0], [-7, 1], [-2, 3], [0, 0], [-1, -1], [1, -2], [0, 0], [1, 0], [0, 0], [0, 0], [3, -3], [-4, 1], [0, 0], [0, 0], [2, -1], [0, 0], [-1, 0], [-10, 0], [0, 0], [-1, 0], [-10, -1], [0, 0], [1, -2], [0, 0], [0, 0], [0, -2], [3, -3], [0, 0], [0, 0], [6, 1], [0, 0], [1, 1], [1, 2], [0, 0], [10, 2], [-1, 2], [0, 0], [6, 0], [0, 0], [0, 0], [10, -3], [-3, 0], [0, 0], [0, 0]]}