# Stored data for newform 8550.2.a.ci, downloaded from the LMFDB on 20 April 2024. {"label": "8550.2.a.ci", "space_label": "8550.2.a", "level": 8550, "weight": 2, "hecke_orbit": 61, "hecke_orbit_code": 270215977675792742, "dim": 3, "is_polredabs": true, "nf_label": "3.3.993.1", "trace_hash": 1532390099679851129, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [-1, -13, -2, 1]], [11, [-24, -24, 2, 1]], [13, [-35, -3, 6, 1]], [17, [-9, 33, 12, 1]], [23, [-111, -51, -2, 1]], [53, [867, -105, -10, 1]]], "qexp_display": "q-q^{2}+q^{4}+(1-\\beta _{2})q^{7}-q^{8}-2\\beta _{1}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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [8550, 1, [1901, 1027, 1351], [1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 5, 19], "conrey_indexes": [1], "field_disc": 993, "field_disc_factorization": [[3, 1], [331, 1]], "field_poly": [3, -6, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.002", "prec": 17}, {"__RealLiteral__": 0, "data": "2.861", "prec": 17}, {"__RealLiteral__": 0, "data": "0.500", "prec": 17}, {"__RealLiteral__": 0, "data": "21.694", "prec": 20}, {"__RealLiteral__": 0, "data": "8.980", "prec": 17}, {"__RealLiteral__": 0, "data": "244.661", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, -1], [19, -1]], "trace_display": [-3, 0, 0, 2], "traces": [0, 3, -3, 0, 3, 0, 0, 2, -3, 0, 0, -2, 0, -6, -2, 0, 3, -12, 0, 3, 0, 0, 2, 2, 0, 0, 6, 0, 2, -6, 0, 8, -3, 0, 12, 0, 0, -1, -3, 0, 0, 0, 0, -14, -2, 0, -2, -3, 0, 9, 0, 0, -6, 10, 0, 0, -2, 0, 6, -6, 0, -2, -8, 0, 3, 0, 0, 4, -12, 0, 0, 6, 0, -12, 1, 0, 3, 10, 0, 20, 0, 0, 0, 4, 0, 0, 14, 0, 2, -14, 0, 19, 2, 0, 3, 0, 0, -28, -9, 0, 0, 8, 0, -4, 6, 0, -10, 10, 0, 2, 0, 0, 2, 18, 0, 0, -6, 0, 6, 15, 0, 19, 2, 0, 8, 0, 0, -2, -3, 0, 0, 20, 0, 2, -4, 0, 12, 12, 0, 2, 0, 0, -6, -10, 0, 0, 12, 0, -1, -2, 0, 60, -3, 0, -10, 0, 0, -14, -20, 0, 0, 53, 0, 38, 0, 0, -4, -34, 0, 3, 0, 0, -14, -1, 0, 0, -2, 0, 14, 17, 0, -9, -19, 0, -2, 0, 0, -6, -3, 0, 0, 18, 0, 50, 28, 0, 9, 40, 0, -38, 0, 0, -8, -27, 0, 0, 4, 0, -6, -2, 0, 50, 10, 0, -10, 0, 0, -6, -2, 0, 0, 54, 0, -28, -2, 0, -18, 16, 0, -26, 0, 0, 6, -13, 0, 0, -6, 0, -15, -34, 0, 10, -19, 0, -2, 0, 0, -6, -8, 0, 0, 42, 0, -4, 2, 0, 3, -34, 0, -12, 0, 0, -20, -8, 0, 0, -2, 0, 4, -23, 0, 46, -12, 0, -12, 0, 0, -52, -2, 0, 0, 6, 0, 14, 6, 0, 10, 0, 0, 27, 0, 0, -12, 6, 0, 0, 1, 0, 2, 49, 0, 2, -60, 0, 3, 0, 0, -13, 10, 0, 0, 38, 0, 0, 14, 0, 20, 36, 0, 18, 0, 0, -53, -12, 0, 0, -38, 0, 0, -48, 0, 42, 4, 0, 34, 0, 0, 4, -3, 0, 0, -56, 0, 61, 14, 0, 1, -6, 0, -6, 0, 0, 2, -40, 0, 0, -14, 0, -17, -40, 0, 3, 9, 0, 19, 0, 0, 0, 2, 0, 0, 58, 0, 32, 6, 0, 3, -18, 0, 28, 0, 0, -18, -26, 0, 0, -50, 0, -28, 4, 0, 45, -9, 0, -40, 0, 0, -36, 38, 0, 0, 6, 0, -2, 8, 0, 27, -50, 0, 38, 0, 0, -4, 105, 0, 0, 6, 0, 2, -32, 0, 32, -50, 0, -10, 0, 0, 56, 10, 0, 0, -36, 0, 60, 6, 0, 2, 2, 0, 12, 0, 0, -54, -18, 0, 0, 28, 0, 2, -56, 0, 0, 18, 0, -16, 0, 0, 8, 26, 0, 0, -6, 0, -7, -6, 0, 13, -22, 0, 20, 0, 0, 6, 60, 0, 0, 15, 0, 34, 3, 0, 16, -10, 0, 19, 0, 0, 20, 2, 0, 0, 24, 0, -6, 6, 0, 8, 84, 0, -38, 0, 0, -42, 48, 0, 0, 4, 0, -2, 13, 0, -71, -3, 0, 34, 0, 0, 30, 12, 0, 0, 48, 0, -32, 20, 0, 8, -18, 0, 37, 0, 0, 2, 0, 0, 0, -4, 0, 23, -48, 0, -52, -46, 0, 12, 0, 0, 0, 12, 0, 0, -6, 0, 36, 52, 0, 2, 48, 0, 14, 0, 0, -6, 67, 0, 0, -14, 0, -6, 0, 0, 76, -10, 0, 0, 0, 0, -12, -27, 0, 0, -32, 0, 106, 12, 0, -6, -30, 0, 8, 0, 0, -1, 39, 0, 0, -2, 0, -49, 2, 0, 22, -2, 0, 60, 0, 0, 14, -3, 0, 0, -54, 0, -46, 13, 0, -10, -59, 0, -8, 0, 0, -38, -32, 0, 0, 0, 0, -14, 18, 0, -51, -20, 0, -36, 0, 0, 72, -18, 0, 0, -20, 0, 30, 53, 0, 12, -18, 0, 24, 0, 0, 38, 58, 0, 0, 0, 0, 48, -12, 0, 10, -42, 0, -4, 0, 0, -57, -34, 0, 0, 24, 0, -4, -4, 0, 3, 78, 0, -42, 0, 0, 56, -49, 0, 0, -61, 0, -14, -25, 0, 58, -1, 0, 6, 0, 0, 0, 6, 0, 0, 42, 0, -1, -2, 0, 40, -52, 0, -6, 0, 0, 14, 8, 0, 0, 17, 0, 40, 18, 0, 66, -3, 0, -9, 0, 0, -6, -19, 0, 0, 42, 0, 88, 0, 0, -2, -42, 0, -54, 0, 0, -58, -18, 0, 0, -32, 0, -6, 121, 0, -4, -3, 0, 18, 0, 0, 28, -28, 0, 0, -32, 0, 30, 18, 0, 26, 111, 0, -40, 0, 0, 50, 60, 0, 0, 28, 0, -4, 0, 0, 120, -45, 0, 9, 0, 0, 94, 40, 0, 0, 12, 0, 50, 36, 0, -38, 74, 0, -48, 0, 0, -6, -40, 0, 0, 2, 0, -8, -16, 0, -52, -27, 0, 50, 0, 0, -14, -38, 0, 0, 46, 0, -54, 4, 0, -105, 78, 0, -24, 0, 0, -6, 54, 0, 0, -2, 0, 32, 16, 0, -45, -32, 0, 50, 0, 0, -102, 10, 0, 0, 2, 0, -20, -56, 0, -10, 22, 0, 30, 0, 0, 36, -14, 0, 0, -60, 0, -6, 88, 0, 29, -2, 0, -2, 0, 0, -20, -12, 0, 0, 53, 0, -80, 54, 0, 18, -8, 0, -82, 0, 0, -28, -3, 0, 0, -2, 0, 56, -30, 0, -45, 0, 0, -18, 0, 0, -72, 16, 0, 0, -6, 0, 76, -8, 0, -26, 2, 0, 56, 0, 0, 6, 6, 0, 0, 7, 0, 6, 60, 0, 9, -13, 0, 22, 0, 0, -48, -20, 0, 0, 102, 0, 0, -6, 0, -60, 60, 0, -15, 0, 0, -15, 66, 0, 0, -34, 0, -3, 48, 0, -21, -16, 0, 10, 0, 0, 8, -19, 0, 0, -76, 0, -102, -20, 0, -2, 2, 0, -92, 0, 0, -24, 18, 0, 0, 6, 0, -6, -12, 0, 22, -8, 0, -84, 0, 0, 68, 38, 0, 0, -52, 0, 123, 42, 0, -48, 10, 0, 150, 0, 0, -4, 118, 0, 0, 2, 0, -13, -66, 0, -20, 71, 0, 3, 0, 0, -68, -34, 0, 0, -68, 0, 12, -30, 0, -12, 54, 0, 10, 0, 0, -48, 22, 0, 0, 32, 0, -20, 111, 0, -18, -8, 0, 18, 0, 0, 40, -37, 0, 0, -24, 0, -6, -2, 0, 0, 148, 0, -36, 0, 0, 4, -12, 0, 0, -23, 0, 48, -82, 0, -108, 52, 0, 46, 0, 0, 38, -12, 0, 0, 60, 0, -45, 0, 0, -12, -8, 0, 2, 0, 0, 6, 20, 0, 0, -36, 0, -52, 48, 0, -28, -2, 0, -48, 0, 0, -4, -14, 0, 0, -6, 0, -100, 6, 0, -67, 165, 0, 62, 0, 0, 14, 76, 0, 0, 6, 0, 0, 21, 0, 60, -76, 0, 10, 0, 0, 48, 0, 0, 0, -30, 0, -24, 12, 0, 27, 56, 0, -2, 0, 0, 32, 20, 0, 0, -106, 0, -12, -34, 0, -7, 6, 0, 30, 0, 0, 154, -8, 0, 0, -130, 0, -27, 1, 0, -39, -54, 0, 0, 0, 0, 2, 22, 0, 0, 49, 0, -2, 10, 0, -32, -22, 0, 2, 0, 0, -6, -60, 0, 0, 80, 0, -22, -14, 0, 3, -72, 0, 53, 0, 0, 54, 10, 0, 0, 46, 0, -13, -35, 0, 58, 10, 0, 59, 0, 0, 14, 8, 0, 0, 9, 0, -12, 38, 0, 32, 42, 0, -16, 0, 0, 0, -46, 0, 0, 14, 0, -18, -34, 0, -32, 51, 0, 20, 0, 0, 28, 36, 0, 0, 0, 0, 4, -72, 0, 18, -26, 0, 38, 0, 0, 20, -22, 0, 0, -30, 0, -53, 80, 0, 50, -12, 0, 18, 0, 0, 8, -24, 0, 0, -84, 0, -59, -38, 0, -58, -14, 0, -72, 0, 0, 0, -62, 0, 0, -48, 0, 12, -36, 0, -28, -10, 0, 42, 0, 0, 36, 4, 0, 0, -36, 0, -88, 57, 0, 34, -51, 0, 40, 0, 0, -24, -108, 0, 0, 4, 0, 4, 6, 0, -24, -3, 0, -78, 0, 0, 204, 42, 0, 0, 14, 0, 66, -56, 0, 49, -14, 0, -60, 0, 0, 61, -34, 0, 0, 14, 0, 25, 4, 0, 2, -58, 0, 1, 0, 0, -12, -6, 0, 0, 14, 0, 26, 0, 0, -6, 108, 0, -88, 0, 0, -42, 102, 0, 0, 1, 0, 2, -40, 0, -90, -40, 0, 52, 0, 0, 19, 6, 0, 0, -108, 0, -96, -14, 0, -8, -12, 0, 58, 0, 0, -17, -94, 0, 0, -40, 0, -18, -144, 0, -64, -66, 0, 3, 0, 0, 26, 9, 0, 0, 74, 0, -52, 6, 0, 19, -36, 0, -70, 0, 0, -42, 10, 0, 0, -88, 0, 0, -36, 0, 12, 2, 0, 42, 0, 0, 39, 54, 0, 0, -46, 0, -20, 58, 0, 18, 18, 0, -7, 0, 0, 32, 14, 0, 0, 6, 0, -121, -54, 0, 20, 4, 0, 3, 0, 0, 54, -18, 0, 0, 112, 0, 84, -28, 0, 28, 0, 0, 66, 0, 0, 32, -137, 0, 0, -30, 0, -18, 4, 0, -16, -26, 0, -111, 0, 0, -15, 40, 0, 0, 57, 0, -8, -50, 0, -60, -39, 0, 46, 0, 0, -28, -6, 0, 0, 4, 0, 0, 21, 0, -30, -120, 0, 45, 0, 0, -16, -9, 0, 0, -11, 0, -130, -94, 0, -40, 4, 0, 77, 0, 0, -12, -30, 0, 0, -50, 0, -36, 16, 0, -46, 38, 0, -74, 0, 0, 8, 48, 0, 0, -80, 0, -40, 6, 0, 40, 0, 0, -34, 0, 0, -2, 90, 0, 0, 8, 0, 16, -136, 0, 8, 52, 0, 27, 0, 0, -100, -50, 0, 0, 14, 0, 102, 14, 0, 38, -45, 0, -128, 0, 0, -46, -86, 0, 0, 54, 0, -4, 24, 0, -130, 105, 0, -78, 0, 0, -39, 24, 0, 0, -40, 0, -66, 6, 0, -54, 1, 0, -22, 0, 0, 2, 29, 0, 0, -32, 0, -16, -110, 0, -123, 45, 0, 32, 0, 0, 110, -50, 0, 0, -14, 0, 26, 102, 0, -10, 69, 0, 32, 0, 0, -2, -26, 0, 0, 20, 0, 56, -30, 0, -87, 10, 0, -22, 0, 0, -78, -30, 0, 0, 80, 0, -22, -36, 0, 14, 60, 0, 19, 0, 0, 60, 28, 0, 0, 6, 0, -88, -27, 0, -12, -29, 0, 2, 0, 0, 46, 2, 0, 0, 48, 0, 160, 20, 0, 12, -6, 0, -6, 0, 0, -53, 0, 0, 0, 80, 0, -54, -42, 0, -94, -18, 0, 8, 0, 0, 122, 82, 0, 0, -15, 0, -52, 28, 0, 3, -70, 0, -2, 0, 0, 2, -104, 0, 0, -56, 0, 30, -34, 0, 40, 45, 0, 0, 0, 0, -110, 18, 0, 0, -26, 0, 39, 72, 0, -16, 8, 0, -6, 0, 0, 6, -70, 0, 0, -76, 0, 8, -36, 0, -44, 26, 0, -2, 0, 0, -28, -56, 0, 0, 40, 0, -28, -6, 0, -6, -26, 0, -13, 0, 0, -7, 15, 0, 0, -6, 0, -60, 102, 0, -74, -9, 0, 13, 0, 0, -48, -22, 0, 0, -89, 0, 32, 48, 0, 20, 79, 0, -96, 0, 0, -102, -164, 0, 0, 0, 0, 6, 46, 0, -28, 60, 0, -60, 0, 0, 71, 15, 0, 0, -156, 0, -106, 15, 0, -66, -46, 0, -106, 0, 0, 34, -24, 0, 0, 3, 0, -48, 8, 0, -72, 21, 0, 16, 0, 0, 0, -10, 0, 0, 71, 0, -2, -8, 0, 19, 92, 0, -126, 0, 0, 76, -45, 0, 0, 102, 0, 20, 98, 0, -6, 2, 0, -2, 0, 0, -4, 92, 0, 0, -116, 0, -120, 24, 0, -18, 96, 0, -34, 0, 0, -6, -16, 0, 0, 6, 0, 12, -86, 0, -186, -22, 0, 8, 0, 0, 12, 84, 0, 0, 158, 0, 82, -68, 0, -38, -60, 0, 208, 0, 0, 52, -50, 0, 0, -123, 0, -42, 0, 0, 6, 48, 0, -10, 0, 0, -90, -150, 0, 0, 42, 0, -103, 4, 0, -118, -54, 0, -164, 0, 0, -2, 10, 0, 0, 13, 0, 66, -72, 0, 14, 20, 0, -71, 0, 0, -4, -3, 0, 0, 27, 0, 68, 68, 0, 34, -168, 0, -30, 0, 0, 68, 44, 0, 0, -12, 0, 30, -174, 0, 2, 12, 0, -54, 0, 0, 50, -10, 0, 0, -24, 0, 119, 48, 0, -22, -32, 0, -24, 0, 0, -32, 67, 0, 0, 20, 0, -111, 182, 0, -60, 18, 0, 8, 0, 0, -84, -18, 0, 0, 102, 0, -60, -40, 0, 37, 63, 0, -2, 0, 0, 24, -56, 0, 0, 6, 0, 2, 45, 0, -184, 0, 0, -148, 0, 0, 8, 36, 0, 0, -90, 0, 8, -4, 0, 12, 18, 0, -66, 0, 0, 23, -44, 0, 0, -48, 0, 82, -126, 0, -48, 108, 0, -52, 0, 0, -128, -46, 0, 0, 82, 0, 0, -38, 0, 12, -118, 0, -134, 0, 0, -60, -18, 0, 0, 45, 0, 0, 138, 0, -137, 12, 0, 8, 0, 0, -9, -2, 0, 0, -108, 0, -26, -6, 0, -20, -26, 0, -18, 0, 0, 36, 18, 0, 0, 52, 0, -48, -177, 0, 60, 28, 0, 2, 0, 0, -66, 48, 0, 0, -130, 0, 12, 4, 0, 14, 2, 0, -4, 0, 0, 6, -36, 0, 0, 100, 0, -6, 136, 0, 132, 67, 0, -165, 0, 0, -22, -62, 0, 0, 15, 0, 16, -14, 0, -76, 54, 0, 138, 0, 0, -6, -82, 0, 0, 0, 0, -21, 66, 0, -136, -60, 0, 76, 0, 0, 36, -10, 0, 0, -12, 0, -48, -48, 0, 0, 64, 0, 19, 0, 0, 30, -189, 0, 0, 24, 0, -12, -90, 0, 84, -27, 0, -56, 0, 0, 211, 2, 0, 0, -8, 0, -98, -32, 0, -20, -80, 0, -39, 0, 0, 106, 90, 0, 0, 12, 0, 34, -36, 0, 116, 7, 0, -6, 0, 0, 56, -30, 0, 0, 14, 0, -24, -154, 0, 8, -126, 0, -100, 0, 0, 130, -114, 0, 0, 27, 0, -1, 98, 0, 115, 39, 0, 54, 0, 0, 2, 0, 0, 0, 114, 0, -138, -2, 0, -22, 100, 0, -69, 0, 0, -49, 70, 0, 0, 2, 0, -10, -72, 0, 87, 32, 0, 22, 0, 0, 66, -2, 0, 0, -6, 0, -2, 6, 0, 60, -148, 0, 0, 0, 0, -80, -94, 0, 0, 22, 0, 14, -72, 0, 96, -3, 0, 72, 0, 0, 60, -53, 0, 0, -139, 0, -164, -54, 0, -10, -32, 0, -48, 0, 0, -46, -32, 0, 0, 13, 0, 35, 138, 0, 155, -58, 0, -10, 0, 0, 52, -59, 0, 0, -136, 0, -124, -14, 0, -8, 162, 0, 38, 0, 0, -9, -75, 0, 0, 12, 0, -38, 20, 0, 0, -32, 0, -42, 0, 0, 130, 16, 0, 0, 0, 0, 108, 0, 0, 46, 53, 0, -146, 0, 0, -14, -73, 0, 0, 18, 0, 34, -84, 0, -180, 32, 0, -51, 0, 0, 2, -20, 0, 0, -24, 0, 96, -28, 0, -36, 48, 0, -36, 0, 0, 0, 62, 0, 0, -4, 0, 72, 136, 0, -91, -18, 0, 26, 0, 0, -98, -38, 0, 0, -52, 0, 110, -20, 0, 22, -240, 0, 160, 0, 0, 30, -68, 0, 0, 53, 0, -80, -96, 0, 0, -50, 0, 12, 0, 0, 71, -18, 0, 0, 105, 0, -166, -8, 0, 24, 15, 0, 12, 0, 0, 84, 12, 0, 0, 59, 0, 38, -44, 0, 153, 58, 0, 14, 0, 0, -118, 72, 0, 0, 58, 0, 32, 0, 0, 62, -126, 0, 20, 0, 0, 48, -42, 0, 0, -12, 0, 36, -75, 0, 2, 28, 0, 10, 0, 0, 130, -42, 0, 0, -12, 0, 104, -36, 0, -4, 54, 0, -22, 0, 0, 36, -74, 0, 0, 88, 0, -57, 42, 0, -14, -34, 0, 51, 0, 0, -14, -40, 0, 0, 28, 0, 10, 24, 0, 108, 18, 0, 90, 0, 0, -4, 70, 0, 0, -4, 0, -6, 48, 0, 52, 24, 0, 3, 0, 0, -100, 78, 0, 0, 46, 0, -166, -204, 0, -42, -10, 0, 102, 0, 0, -14, 94, 0, 0, -66, 0, 56, -20, 0, 0, -49, 0, 14, 0, 0, -39, 60, 0, 0, -96, 0, -107, -61, 0, 34, 0, 0, -66, 0, 0, -14, 129, 0, 0, -25, 0, -4, 64, 0, -180, -2, 0, 58, 0, 0, 18, -1, 0, 0, -78, 0, -192, 12, 0, 6, -32, 0, -116, 0, 0, -14, -194, 0, 0, -26, 0, 0, -2, 0, 62, 6, 0, -108, 0, 0, -80, 88, 0, 0, -54, 0, -54, 42, 0, -102, -168, 0, 151, 0, 0, -1, 144, 0, 0, -2, 0, 40, -74, 0, 90, 90, 0, 40, 0, 0, -28, -52, 0, 0, -2, 0, -72, -19, 0, -6, 100, 0, 150, 0, 0, 108, 132, 0, 0, 96, 0, 14, 70, 0, 6, 8, 0, 12, 0, 0, 24, -58, 0, 0, -40, 0, -66, 17, 0, 94, -90, 0, 60, 0, 0, 40, -93, 0, 0, 18, 0, 144, -154, 0, -58, 64, 0, 66, 0, 0, 18, -3, 0, 0, 279, 0, 208, -26, 0, -9, -40, 0, 70, 0, 0, -74, -96, 0, 0, 52, 0, -6, 133, 0, 0, -19, 0, 36, 0, 0, -50, 70, 0, 0, -216, 0, -108, 42, 0, -10, -64, 0, 30, 0, 0, 88, 208, 0, 0, 0, 0, 36, 6, 0, 138, -12, 0, -2, 0, 0, 51, -42, 0, 0, -97, 0, -64, -39, 0, -54, 152, 0, -182, 0, 0, 46, 40, 0, 0, 20, 0, -58, -144, 0, 18, -18, 0, -18, 0, 0, 80, 7, 0, 0, -84, 0, -14, -32, 0, -14, -24, 0, 132, 0, 0, -6, 0, 0, 0, 121, 0, 54, 156, 0, -28, -20, 0, -4, 0, 0, -204, -3, 0, 0, -68, 0, 16, -54, 0, 18, -36, 0, -52, 0, 0, -112, 108, 0, 0, -84, 0, 28, -2, 0, 166, -28, 0, 0, 0, 0, 84, -66, 0, 0, 28, 0, -114, -32, 0, 137, -140, 0, 183, 0, 0, 30, 96, 0, 0, 18, 0, -4, 53, 0, -87, 16, 0, 26, 0, 0, -24, 111, 0, 0, -80, 0, 100, 15, 0, -40, -6, 0, -61, 0, 0, -57, 90, 0, 0, 8, 0, 50, 124, 0, -60, 60, 0, 39, 0, 0, 38, -46, 0, 0, -150, 0, -54, 28, 0, 6, 121, 0, 161, 0, 0, -4, 52, 0, 0, 0, 0, -21, -42, 0, -132, 30, 0, 120, 0, 0, 129, -45, 0, 0, 44, 0, 86, 16, 0, 9, 72, 0, 8, 0, 0, 11, -26, 0, 0, 130, 0, 94, -78, 0, 57, 40, 0, -4, 0, 0, 0, -77, 0, 0, -27, 0, -46, 12, 0, 30, -90, 0, -62, 0, 0, 50, -34, 0, 0, 36, 0, -16, 142, 0, -85, 46, 0, -38, 0, 0, -180, 74, 0, 0, 102, 0, -84, -8, 0, -48, -208, 0, 51, 0, 0, 80, 18, 0, 0, 40, 0, -6, -155, 0, 3, -40, 0, 0, 0, 0, -79, 34, 0, 0, 127, 0, -18, 2, 0, -90, 42, 0, 69, 0, 0, -8, 96, 0, 0, -16, 0, 136, 0, 0, -120, -8, 0, -52, 0, 0, -111, -27, 0, 0, -42, 0, 36, 100, 0, 50, -6, 0, 146, 0, 0, -14, -42, 0, 0, -102, 0, -14, 146, 0, -18, -38, 0, 45, 0, 0, -36, 128, 0, 0, -246, 0, 123, 46, 0, 86, -1, 0, 4, 0, 0, -54, 106, 0, 0, 4, 0, -24, -8, 0, 106, 130, 0, -105, 0, 0, -64, 78, 0, 0, -120, 0, 44, 39, 0, -24, -134, 0, 166, 0, 0, 40, -146, 0, 0, 66, 0, -6, 164, 0, 62, 54, 0, -1, 0, 0, -42, 22, 0, 0, 82, 0, -12, -2, 0, -29, -186, 0, -132, 0, 0, 32, -204, 0, 0, 16, 0, 110, 148, 0, 108, 123, 0, -45, 0, 0, 33, -32, 0, 0, -36, 0, -31, -110, 0, 50, -14, 0, -6, 0, 0, 14, 147, 0, 0, -26, 0, -102, 10, 0, 208, 10, 0, -69, 0, 0, 8, -32, 0, 0, 17, 0, 0, 2, 0, 26, 70, 0, 162, 0, 0, -20, -50, 0, 0, -56, 0, 30, -40, 0, -82, 87, 0, -10, 0, 0, 110, 22, 0, 0, 90, 0, 2, 78, 0, 30, 108, 0, -9, 0, 0, -80, -262, 0, 0, 22, 0, 36, 150, 0, -21, -14, 0, -60, 0, 0, 28, -19, 0, 0, 113, 0, 164, -60, 0, -28, 18, 0, 100, 0, 0, -6, 40, 0, 0, 88, 0, 27, 72, 0, 261, 12, 0, 29, 0, 0, 12, -2, 0, 0, -114, 0, 158, -46, 0, -2, -4, 0, 57, 0, 0, -48, 48, 0, 0, -160, 0, -20, 54, 0, -78, -12, 0, 6, 0, 0, -66, 6, 0, 0, 9, 0, -25, 53, 0, 0, -134, 0, -38, 0, 0, -80, 69, 0, 0, 54, 0, 42, 230, 0, -46, 94, 0, 18, 0, 0, -43, -8, 0, 0, -48, 0, -6, -122, 0, -82, 114, 0, -34, 0, 0, 15, -164, 0, 0, 52, 0, -28, 60, 0, 36, -3, 0, 70, 0, 0, -153, 2, 0, 0, -72, 0, 50, -2, 0, 104, -207, 0, -120, 0, 0, 56, 52, 0, 0, -30, 0, 34, 222, 0, 100], "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": "950.2.a.j", "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, 0], [1, 0, 0], [-1, 0, 0], [0, 0, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0], [1, 0, -1], [-1, 0, 0], [0, 0, 0], [0, 0, 0], [0, -2, 0], [0, 0, 0], [-2, 1, -1], [-1, 0, 1], [0, 0, 0], [1, 0, 0], [-4, 1, -1], [0, 0, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 2, 0], [1, 1, -2], [0, 0, 0], [0, 0, 0], [2, -1, 1], [0, 0, 0], [1, 0, -1], [-2, -1, 1], [0, 0, 0], [2, 2, 0], [-1, 0, 0], [0, 0, 0], [4, -1, 1], [0, 0, 0], [0, 0, 0], [-1, 2, 0], [-1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-4, -2, 0], [0, -2, 0], [0, 0, 0], [-1, -1, 2], [-1, -2, 2], [0, 0, 0], [3, 3, -3], [0, 0, 0], [0, 0, 0], [-2, 1, -1], [5, -4, -1], [0, 0, 0], [0, 0, 0], [-1, 0, 1], [0, 0, 0], [2, 1, -1], [-1, 1, -4], [0, 0, 0], [0, 0, -2], [-2, -2, 0], [0, 0, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0], [1, 2, -1], [-4, 1, -1], [0, 0, 0], [0, 0, 0], [4, -4, -2], [0, 0, 0], [-5, 1, 2], [1, -2, 0], [0, 0, 0], [1, 0, 0], [2, 2, 2], [0, 0, 0], [8, -4, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [2, -4, 2], [0, 0, 0], [0, 0, 0], [4, 2, 0], [0, 0, 0], [0, 2, 0], [-6, 4, 0], [0, 0, 0], [6, 2, -1], [1, 1, -2], [0, 0, 0], [1, 2, -2], [0, 0, 0], [0, 0, 0], [-8, -6, 2], [-3, -3, 3], [0, 0, 0], [0, 0, 0]]}