# Stored data for newform 9450.2.a.ej, downloaded from the LMFDB on 23 April 2024.
{"label": "9450.2.a.ej", "space_label": "9450.2.a", "level": 9450, "weight": 2, "hecke_orbit": 114, "hecke_orbit_code": 508906757926429930, "dim": 2, "is_polredabs": true, "nf_label": "2.2.28.1", "trace_hash": 1437422103278614702, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [-28, 0, 1]], [13, [-3, 4, 1]], [17, [-1, 1]], [19, [-27, 2, 1]]], "qexp_display": "q-q^{2}+q^{4}+q^{7}-q^{8}+2\\beta q^{11}+(-2+\\cdots)q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 37800, "fricke_eigenval": -1, "atkin_lehner_string": "+++-", "analytic_conductor": 75.45862991010996, "hecke_ring_index": 1, "level_radical": 210, "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": "0.017", "prec": 17}, "analytic_rank_proved": true, "char_values": [9450, 1, [9101, 6427, 6751], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 5, 7], "conrey_indexes": [1], "field_disc": 28, "field_disc_factorization": [[2, 2], [7, 1]], "field_poly": [-7, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.039", "prec": 17}, {"__RealLiteral__": 0, "data": "1.942", "prec": 17}, {"__RealLiteral__": 0, "data": "0.052", "prec": 17}, {"__RealLiteral__": 0, "data": "9.202", "prec": 17}, {"__RealLiteral__": 0, "data": "0.305", "prec": 17}, {"__RealLiteral__": 0, "data": "59.950", "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], [7, -1]], "trace_display": [-2, 0, 0, 2], "traces": [0, 2, -2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, -4, -2, 0, 2, 2, 0, -2, 0, 0, 0, 2, 0, 0, 4, 0, 2, 16, 0, -4, -2, 0, -2, 0, 0, -14, 2, 0, 0, -4, 0, 6, 0, 0, -2, 4, 0, 2, 0, 0, -4, 0, 0, 0, -2, 0, -16, 16, 0, 0, 4, 0, 2, 0, 0, -6, 2, 0, 0, 12, 0, 0, 14, 0, -2, 0, 0, -16, 0, 0, 4, -2, 0, 0, -6, 0, 0, 2, 0, -4, 2, 0, -4, 0, 0, -10, -2, 0, 0, 18, 0, 4, 4, 0, 0, -12, 0, 2, 0, 0, 2, 4, 0, 0, 16, 0, -16, 2, 0, 34, 0, 0, -4, 0, 0, -24, -2, 0, 0, 22, 0, -2, 6, 0, -2, -10, 0, -12, 0, 0, -12, 28, 0, 0, 0, 0, -14, 8, 0, 0, 2, 0, 0, 0, 0, 8, 16, 0, 0, 2, 0, 8, -4, 0, 2, 8, 0, -4, 0, 0, 6, -2, 0, 0, 0, 0, -2, -14, 0, 40, 4, 0, -2, 0, 0, 0, 4, 0, 0, 8, 0, 2, 10, 0, 2, -32, 0, 2, 0, 0, -18, 16, 0, 0, -4, 0, -4, 56, 0, 40, 0, 0, 12, 0, 0, -4, -2, 0, 0, -4, 0, -6, -2, 0, -4, -18, 0, -12, 0, 0, -16, -2, 0, 0, 16, 0, -2, 34, 0, -10, -34, 0, 0, 0, 0, 32, 4, 0, 0, 24, 0, 28, 24, 0, 2, 6, 0, -14, 0, 0, -22, 8, 0, 0, 2, 0, -6, 12, 0, -20, 2, 0, 10, 0, 0, -40, 12, 0, 0, -10, 0, 18, 12, 0, -28, -4, 0, -32, 0, 0, 0, 26, 0, 0, 14, 0, -8, 10, 0, 6, 0, 0, -2, 0, 0, 24, 0, 0, 0, -32, 0, -2, -8, 0, -16, -44, 0, -28, 0, 0, -2, -2, 0, 0, -8, 0, 4, 4, 0, -14, -2, 0, -8, 0, 0, -10, 4, 0, 0, 56, 0, 2, -6, 0, 2, -30, 0, -24, 0, 0, 0, 20, 0, 0, 2, 0, 14, 44, 0, 20, -40, 0, -4, 0, 0, -14, 2, 0, 0, 0, 0, -16, 0, 0, -4, -46, 0, 22, 0, 0, -8, 44, 0, 0, -2, 0, -10, 0, 0, 2, -2, 0, 32, 0, 0, -28, -2, 0, 0, -34, 0, 36, 18, 0, -16, 28, 0, 10, 0, 0, 4, 16, 0, 0, 4, 0, -56, 50, 0, 12, -40, 0, 0, 0, 0, 0, -12, 0, 0, 36, 0, 12, 4, 0, 2, 26, 0, -46, 0, 0, 4, -46, 0, 0, 6, 0, 2, -10, 0, 56, 4, 0, 18, 0, 0, 46, 12, 0, 0, -30, 0, -8, 16, 0, 2, -68, 0, -6, 0, 0, -16, 28, 0, 0, 2, 0, -34, 20, 0, 42, 10, 0, 34, 0, 0, 12, 0, 0, 0, -6, 0, 16, -32, 0, -4, 12, 0, 42, 0, 0, -24, -16, 0, 0, -28, 0, -24, 22, 0, 0, -2, 0, -6, 0, 0, 28, 14, 0, 0, 38, 0, 10, 22, 0, -8, -4, 0, -30, 0, 0, -2, 36, 0, 0, 6, 0, -12, 0, 0, -22, 20, 0, -2, 0, 0, 0, -10, 0, 0, -44, 0, -16, 40, 0, -12, -28, 0, 2, 0, 0, 10, 62, 0, 0, -18, 0, -12, 32, 0, 4, 28, 0, 4, 0, 0, -32, 32, 0, 0, -2, 0, 28, 0, 0, -26, -26, 0, 60, 0, 0, -14, 30, 0, 0, 8, 0, -10, 30, 0, -20, -6, 0, 0, 0, 0, 46, 2, 0, 0, 6, 0, 30, -24, 0, 0, 26, 0, -20, 0, 0, 32, 2, 0, 0, 2, 0, 8, -14, 0, -8, 16, 0, 44, 0, 0, -4, 28, 0, 0, 60, 0, -6, 2, 0, 2, -28, 0, -56, 0, 0, 8, 8, 0, 0, -4, 0, -4, 10, 0, 36, 14, 0, 2, 0, 0, 2, 8, 0, 0, -28, 0, 32, 10, 0, -4, 8, 0, -10, 0, 0, -56, 16, 0, 0, -2, 0, 6, 14, 0, -56, -2, 0, 30, 0, 0, -4, 24, 0, 0, 16, 0, 42, 0, 0, -20, 18, 0, -28, 0, 0, -2, 24, 0, 0, -14, 0, -44, -52, 0, 4, -20, 0, 40, 0, 0, 46, 4, 0, 0, 6, 0, 28, 14, 0, -2, -84, 0, 12, 0, 0, 0, -36, 0, 0, 16, 0, 0, -12, 0, -24, 4, 0, 46, 0, 0, 10, -22, 0, 0, 46, 0, 2, 8, 0, -44, -60, 0, -64, 0, 0, 2, 8, 0, 0, 10, 0, 0, 60, 0, -56, -2, 0, 2, 0, 0, 60, -32, 0, 0, 4, 0, -14, 28, 0, 2, 54, 0, 4, 0, 0, 34, 56, 0, 0, -36, 0, -18, -28, 0, -12, 16, 0, -28, 0, 0, 22, -10, 0, 0, -68, 0, 32, -4, 0, -16, -66, 0, 20, 0, 0, -4, 2, 0, 0, 56, 0, -50, 52, 0, 84, -12, 0, 40, 0, 0, 34, 0, 0, 0, 0, 0, -24, 0, 0, 12, 58, 0, 16, 0, 0, -36, -66, 0, 0, -12, 0, -4, 84, 0, -30, -2, 0, -26, 0, 0, 20, 46, 0, 0, -62, 0, 52, -4, 0, 46, 68, 0, -24, 0, 0, -6, 24, 0, 0, -2, 0, 10, -60, 0, 0, -56, 0, -4, 0, 0, 36, -18, 0, 0, -16, 0, 28, -46, 0, -12, 22, 0, 24, 0, 0, 30, -52, 0, 0, 8, 0, -16, -10, 0, -2, -2, 0, 68, 0, 0, -6, 6, 0, 0, 26, 0, 24, 16, 0, -28, 48, 0, 28, 0, 0, -2, 22, 0, 0, 34, 0, -20, -10, 0, 2, -42, 0, -10, 0, 0, -44, -34, 0, 0, 34, 0, -12, -12, 0, 0, 30, 0, 0, 0, 0, 6, 64, 0, 0, -16, 0, 32, 20, 0, -52, 4, 0, -12, 0, 0, 48, -42, 0, 0, 28, 0, 16, 24, 0, 16, 28, 0, 68, 0, 0, 28, -4, 0, 0, 24, 0, -22, 0, 0, 84, 0, 0, 2, 0, 0, 74, 6, 0, 0, -26, 0, 38, -28, 0, -14, 0, 0, 94, 0, 0, -38, 8, 0, 0, -10, 0, -22, -14, 0, 20, 8, 0, 4, 0, 0, 0, 30, 0, 0, 72, 0, 40, 2, 0, -36, 84, 0, -72, 0, 0, -6, -126, 0, 0, 12, 0, 0, 18, 0, 18, 22, 0, -20, 0, 0, 4, 2, 0, 0, 12, 0, 60, 0, 0, 10, -90, 0, 8, 0, 0, 44, 54, 0, 0, 16, 0, -40, -12, 0, -84, 12, 0, 28, 0, 0, -30, -2, 0, 0, -72, 0, 70, -10, 0, -62, 2, 0, -54, 0, 0, 18, -168, 0, 0, 12, 0, -32, -6, 0, 8, -4, 0, -28, 0, 0, 56, -4, 0, 0, 48, 0, 10, 32, 0, -32, -4, 0, -28, 0, 0, 2, 18, 0, 0, -28, 0, 0, 8, 0, 40, 26, 0, 26, 0, 0, 0, -60, 0, 0, -28, 0, -4, 14, 0, -30, -34, 0, -60, 0, 0, -8, 18, 0, 0, 10, 0, -30, 28, 0, 42, 20, 0, 6, 0, 0, 12, 0, 0, 0, -2, 0, -12, -46, 0, -2, -10, 0, 14, 0, 0, -6, 16, 0, 0, -30, 0, 24, 4, 0, -18, 0, 0, -26, 0, 0, 40, 20, 0, 0, 0, 0, 112, -32, 0, -2, 34, 0, 34, 0, 0, -2, -14, 0, 0, -8, 0, 14, -78, 0, 62, 8, 0, -16, 0, 0, 40, -44, 0, 0, 64, 0, -78, 4, 0, -28, -22, 0, 72, 0, 0, -60, -96, 0, 0, 6, 0, -2, -86, 0, -26, -2, 0, 28, 0, 0, -86, 56, 0, 0, -24, 0, 28, -8, 0, -8, 12, 0, 0, 0, 0, 4, -78, 0, 0, 4, 0, -10, -88, 0, 12, -36, 0, -14, 0, 0, -32, -2, 0, 0, 0, 0, 16, -2, 0, -8, 8, 0, -92, 0, 0, 28, -16, 0, 0, -32, 0, -10, -68, 0, 2, 4, 0, -8, 0, 0, -12, 10, 0, 0, 66, 0, 18, 56, 0, -16, -96, 0, 38, 0, 0, 2, -48, 0, 0, -6, 0, -14, -32, 0, 4, 56, 0, 2, 0, 0, 56, -30, 0, 0, 24, 0, 2, 4, 0, -24, 28, 0, 74, 0, 0, -16, -14, 0, 0, -42, 0, 0, 84, 0, -2, 20, 0, -18, 0, 0, 10, 28, 0, 0, 16, 0, 44, 2, 0, -24, 38, 0, -16, 0, 0, 14, 86, 0, 0, 44, 0, 52, -106, 0, -84, -4, 0, 20, 0, 0, 46, -40, 0, 0, 10, 0, -20, -46, 0, -4, 20, 0, 10, 0, 0, -6, 56, 0, 0, -28, 0, -14, 48, 0, -28, 2, 0, 84, 0, 0, 40, -12, 0, 0, -26, 0, -70, 0, 0, 36, 88, 0, -116, 0, 0, -16, -92, 0, 0, 0, 0, 12, -12, 0, 100, 24, 0, -4, 0, 0, 28, -46, 0, 0, -24, 0, 2, -10, 0, 22, 56, 0, -4, 0, 0, -46, 14, 0, 0, -2, 0, -8, -112, 0, 78, 44, 0, 60, 0, 0, -14, 64, 0, 0, -48, 0, -30, -2, 0, -8, -4, 0, -54, 0, 0, -10, 18, 0, 0, 0, 0, -60, -108, 0, -6, 56, 0, 2, 0, 0, 64, -2, 0, 0, -44, 0, -68, -60, 0, 32, 30, 0, 16, 0, 0, -4, -112, 0, 0, 14, 0, -28, -18, 0, -28, -2, 0, -54, 0, 0, -68, -4, 0, 0, 26, 0, -12, -34, 0, -56, 94, 0, -48, 0, 0, 36, 86, 0, 0, 18, 0, 28, 50, 0, -54, 12, 0, -16, 0, 0, 52, 28, 0, 0, -2, 0, -16, -22, 0, 10, -8, 0, 196, 0, 0, 68, 28, 0, 0, -32, 0, 4, -10, 0, 62, 16, 0, 66, 0, 0, -62, -20, 0, 0, -140, 0, -28, 4, 0, -2, 26, 0, 48, 0, 0, -56, 34, 0, 0, 50, 0, -52, 28, 0, -18, -84, 0, 12, 0, 0, -10, -40, 0, 0, -2, 0, 80, -34, 0, 0, 24, 0, -42, 0, 0, 0, -86, 0, 0, 24, 0, 0, -8, 0, 156, -12, 0, -58, 0, 0, 18, -16, 0, 0, -34, 0, 78, 36, 0, 66, -28, 0, 32, 0, 0, 12, 60, 0, 0, 4, 0, -84, -14, 0, -32, 30, 0, 2, 0, 0, 20, 26, 0, 0, 4, 0, -118, -20, 0, -46, 24, 0, 20, 0, 0, 62, 16, 0, 0, -52, 0, 4, 14, 0, 28, -46, 0, -68, 0, 0, 18, 24, 0, 0, 34, 0, -102, 6, 0, -24, 18, 0, -26, 0, 0, 2, -168, 0, 0, -10, 0, 60, 6, 0, -44, 0, 0, 56, 0, 0, -32, 4, 0, 0, -4, 0, -14, -36, 0, 18, 26, 0, -12, 0, 0, 16, -8, 0, 0, -28, 0, 46, -88, 0, -68, 12, 0, -22, 0, 0, -224, -24, 0, 0, 8, 0, 94, -30, 0, 52, -84, 0, -54, 0, 0, -8, 2, 0, 0, 16, 0, 10, -112, 0, 24, 2, 0, 2, 0, 0, -16, -68, 0, 0, -38, 0, 102, 6, 0, -6, 32, 0, 22, 0, 0, -26, 12, 0, 0, -24, 0, -16, -22, 0, -28, 28, 0, -48, 0, 0, -20, -28, 0, 0, 28, 0, 28, 2, 0, -22, 60, 0, 12, 0, 0, -34, -52, 0, 0, 20, 0, 10, -102, 0, 4, -2, 0, 42, 0, 0, 20, 10, 0, 0, -120, 0, -12, 44, 0, 34, 82, 0, -40, 0, 0, -34, -6, 0, 0, 12, 0, 12, -18, 0, -110, 0, 0, -30, 0, 0, -172, 0, 0, 0, 14, 0, -70, -6, 0, -64, -10, 0, -112, 0, 0, 16, 46, 0, 0, -32, 0, -20, -2, 0, 18, 52, 0, -4, 0, 0, 92, 12, 0, 0, 28, 0, 80, -48, 0, 42, -36, 0, 52, 0, 0, -28, 40, 0, 0, -16, 0, -24, -4, 0, -94, -16, 0, -28, 0, 0, -52, -68, 0, 0, 26, 0, -32, -28, 0, 4, 118, 0, -60, 0, 0, -24, 12, 0, 0, 22, 0, 0, 48, 0, -30, -84, 0, 0, 0, 0, 2, -2, 0, 0, 26, 0, -2, -74, 0, -6, 34, 0, 124, 0, 0, 26, -12, 0, 0, -38, 0, 28, -92, 0, 26, 14, 0, 0, 0, 0, -72, -94, 0, 0, -128, 0, 32, 38, 0, -8, -86, 0, -56, 0, 0, 10, 10, 0, 0, 22, 0, 14, 120, 0, 112, -20, 0, -8, 0, 0, 6, -4, 0, 0, -114, 0, -86, 0, 0, -30, -28, 0, -100, 0, 0, -72, -168, 0, 0, -40, 0, -2, -16, 0, -34, 36, 0, -84, 0, 0, -2, 72, 0, 0, -26, 0, 52, 6, 0, 126, 108, 0, 24, 0, 0, -12, 58, 0, 0, 0, 0, -18, -24, 0, 2, -18, 0, -22, 0, 0, 28, 20, 0, 0, -128, 0, 28, -4, 0, -2, -32, 0, 60, 0, 0, -12, -140, 0, 0, -60, 0, 0, -196, 0, -2, -10, 0, 90, 0, 0, 4, -8, 0, 0, -80, 0, -124, -44, 0, -54, 44, 0, -72, 0, 0, -16, 56, 0, 0, 40, 0, 12, -44, 0, -18, 84, 0, -12, 0, 0, 22, -28, 0, 0, 32, 0, -28, 30, 0, 2, 32, 0, -42, 0, 0, 72, 6, 0, 0, -70, 0, 10, 18, 0, 4, 62, 0, -2, 0, 0, -14, 54, 0, 0, -2, 0, 56, -18, 0, 168, 46, 0, -4, 0, 0, -12, 6, 0, 0, 32, 0, 6, 14, 0, 74, -8, 0, 4, 0, 0, -70, 28, 0, 0, -170, 0, -106, -56, 0, 4, 34, 0, -34, 0, 0, -48, 4, 0, 0, -10, 0, -32, -20, 0, 84, 32, 0, 4, 0, 0, -14, 28, 0, 0, -56, 0, -24, -2, 0, -18, -28, 0, -10, 0, 0, 28, -180, 0, 0, 0, 0, -8, 98, 0, 84, -40, 0, -26, 0, 0, 68, -26, 0, 0, 12, 0, -66, 0, 0, 60, 142, 0, -10, 0, 0, 28, -12, 0, 0, 4, 0, -14, -80, 0, 26, 30, 0, 34, 0, 0, -58, 60, 0, 0, 36, 0, -16, 8, 0, -18, 56, 0, 12, 0, 0, -10, -142, 0, 0, 30, 0, -28, -60, 0, 2, -42, 0, -20, 0, 0, -30, -6, 0, 0, 52, 0, 52, -12, 0, 0, -108, 0, -88, 0, 0, 2, -68, 0, 0, 12, 0, 46, -30, 0, 28, 2, 0, 10, 0, 0, -34, -14, 0, 0, 62, 0, -24, 6, 0, -16, -2, 0, 116, 0, 0, 30, 196, 0, 0, -24, 0, -4, -14, 0, -12, 18, 0, 0, 0, 0, 18, 26, 0, 0, 20, 0, -94, -40, 0, -20, -108, 0, 0, 0, 0, 0, 40, 0, 0, -112, 0, 32, -106, 0, 14, 2, 0, -34, 0, 0, -28, -34, 0, 0, -28, 0, -24, 2, 0, 14, 16, 0, -88, 0, 0, 8, 44, 0, 0, -14, 0, 78, -196, 0, 22, -62, 0, -8, 0, 0, 20, 16, 0, 0, -6, 0, 8, -40, 0, 44, 20, 0, -136, 0, 0, -64, -46, 0, 0, 78, 0, -4, 36, 0, -64, 28, 0, 22, 0, 0, -98, -72, 0, 0, 78, 0, -28, 60, 0, 96, 0, 0, -14, 0, 0, -6, 32, 0, 0, 2, 0, 86, -4, 0, 16, 26, 0, 2, 0, 0, -102, -28, 0, 0, -36, 0, -50, 86, 0, -56, 0, 0, 60, 0, 0, 24, 38, 0, 0, -28, 0, 8, -26, 0, -16, 8, 0, -12, 0, 0, 28, 0, 0, 0, 36, 0, -14, -4, 0, 78, -112, 0, 28, 0, 0, -4, -66, 0, 0, 10, 0, 88, -46, 0, -100, -12, 0, 36, 0, 0, 64, 14, 0, 0, 84, 0, 22, 32, 0, 2, 82, 0, 10, 0, 0, 0, 48, 0, 0, -16, 0, 2, 8, 0, -36, 8, 0, -8, 0, 0, 24, 92, 0, 0, 44, 0, 20, -28, 0, 16, -32, 0, -6, 0, 0, 32, -34, 0, 0, 10, 0, 68, -122, 0, 28, -2, 0, -4, 0, 0, 82, 8, 0, 0, -106, 0, 24, 12, 0, -10, -140, 0, 32, 0, 0, -66, 0, 0, 0, -18, 0, -56, 106, 0, -56, 16, 0, 96, 0, 0, 2, -38, 0, 0, -24, 0, -108, -2, 0, 48, -72, 0, 80, 0, 0, 6, 12, 0, 0, 14, 0, 32, -4, 0, 168, -4, 0, -56, 0, 0, -60, -2, 0, 0, 8, 0, 4, -56, 0, 30, 76, 0, -28, 0, 0, -24, 34, 0, 0, -2, 0, -4, -124, 0, -116, 24, 0, -28, 0, 0, -90, -74, 0, 0, -26, 0, 40, 16, 0, 14, -34, 0, -92, 0, 0, 42, -122, 0, 0, 0, 0, -84, -100, 0, 36, 2, 0, -20, 0, 0, 56, 18, 0, 0, 188, 0, 54, -10, 0, -28, 96, 0, 8, 0, 0, -16, -6, 0, 0, -44, 0, -2, 28, 0, 54, 24, 0, -38, 0, 0, -138, 16, 0, 0, -64, 0, 10, -14, 0, -86, -14, 0, -140, 0, 0, -44, -4, 0, 0, -52, 0, 106, 64, 0, -60, 84, 0, 4, 0, 0, 104, -20, 0, 0, 16, 0, -168, -46, 0, 40, -4, 0, 110, 0, 0, -10, 40, 0, 0, 20, 0, 46, 120, 0, -80, 4, 0, -20, 0, 0, -64, -10, 0, 0, -10, 0, 154, 6, 0, -56, -18, 0, 186, 0, 0, 28, 50, 0, 0, 14, 0, -48, 24, 0, -2, 28, 0, -2, 0, 0, 12, -84, 0, 0, 22, 0, -100, -40, 0, 12, 42, 0, 0, 0, 0, 26, -96, 0, 0, 70, 0, 0, 48, 0, 98, -36, 0, -88, 0, 0, -74, 116, 0, 0, 56, 0, -36, 16, 0, 92, 116, 0, 0, 0, 0, 0, 56, 0, 0, -12, 0, 12, 16, 0, 2, -100, 0, -24, 0, 0, 104, 4, 0, 0, 88, 0, -20, -28, 0, 46, 36, 0, -18, 0, 0, 24, -104, 0, 0, -2, 0, 10, -10, 0, 12, -22, 0, -56, 0, 0, -132, 4, 0, 0, -66, 0, -14, 46, 0, -14, -56, 0, -90, 0, 0, 2, 8, 0, 0, 8, 0, 112, 26, 0, -8, -78, 0, -44, 0, 0, 72, -60, 0, 0, 28, 0, -46, 14, 0, -64, 40, 0, 136, 0, 0, 48, 84, 0, 0, 30, 0, 2, 100, 0, -196, 8, 0, 4, 0, 0, -176, 54, 0, 0, -46, 0, -96, 10, 0, -18, -54, 0, -32, 0, 0, 0, 224, 0, 0, 60, 0, 108, 68, 0, 84, 6, 0, -56, 0, 0, -28, -2, 0, 0, -120, 0, 62, -64, 0, 2, 72, 0, 28, 0, 0, 44, -10, 0, 0, 68, 0, 60, -54, 0, 4, -32, 0, -30, 0, 0, 56, -16, 0, 0, 2, 0, 112, 4, 0, 112, 104, 0, -18, 0, 0, -14, -232, 0, 0, 28, 0, 18, 0, 0, -24, 28, 0, 2, 0, 0, -122, 54, 0, 0, -76, 0, -176, 68, 0, 4, -68, 0, 46, 0, 0, -26, 30, 0, 0, 12, 0, 34, -140, 0, -108, 56, 0, -94, 0, 0, -42, 48, 0, 0, 96, 0, -196, -36, 0, -86, -30, 0, 34, 0, 0, -18, -14, 0, 0, -28, 0, -50, 116, 0, -8, 54, 0, -12, 0, 0, 8, 16, 0, 0, 56, 0, 12, -52, 0, -28, 50, 0, 78, 0, 0, 2, 36, 0, 0, 16, 0, 22, -68, 0, -88, -10, 0, 8, 0, 0, -24, -196, 0, 0, 2, 0, -6, -68, 0, -28, 30, 0, -28, 0, 0, 32, -14, 0, 0, -4, 0, 10, -12, 0, 22, -62, 0, -16, 0, 0, 102, -66, 0, 0, 28, 0, 4, 62, 0, 20, 24, 0, 8, 0, 0, 140, 52, 0, 0, 28, 0, -4, -32, 0, 136, 2, 0, -26, 0, 0, -4, -48, 0, 0, 16, 0, 8, 56, 0, -34, 14, 0, -32, 0, 0, -50, 20, 0, 0, 52, 0, -28, 140, 0, 166, 18, 0, 84, 0, 0, 42, -12, 0, 0, 80, 0, -172, 10, 0, 40, -56, 0, 24, 0, 0, 2, 2, 0, 0, -80, 0, 34, 68, 0, -106, 0, 0, -24, 0, 0, -6, 42, 0, 0, -98, 0, 32, 0, 0, 86, 28, 0, 12, 0, 0, -24, 76, 0, 0, 0, 0, 8, -100, 0, 56, -156, 0, 12, 0, 0, 106, 58, 0, 0, 28, 0, -16, -18, 0, 16, -6, 0, -12, 0, 0, 34, -140, 0, 0, -78, 0, -36, 22, 0, 16, -66, 0, 28, 0, 0, 110, -32, 0, 0, 100, 0, -88, -12, 0, -60, -108, 0, 34, 0, 0, -4, -70, 0, 0, 84, 0, 14, 12, 0, 66, 32, 0, -30, 0, 0, 84, -2, 0, 0, 36, 0, 42, -20, 0, -26, -24, 0, 74, 0, 0, -4, 104, 0, 0, 118, 0, 20, 272, 0, -104, 46, 0, -24, 0, 0, -52, -20, 0, 0, -16, 0, 68, -62, 0, -16, -12, 0, 18, 0, 0, 52, 16, 0, 0, -4, 0, -14, 96, 0, -52, -28, 0, 46, 0, 0, 4, 68, 0, 0, -42, 0, 56, -18, 0, -24, -44, 0, 26, 0, 0, -34, 22, 0, 0, 102, 0, -6, 8, 0, 22, 24, 0, -18, 0, 0, 0, 26, 0, 0, -20, 0, -206, -2, 0, 168, 40, 0, 112, 0, 0, 10, -92, 0, 0, -60, 0, -6, 28, 0, 52, 44, 0, 0, 0, 0, -12, -56, 0, 0, -6, 0, 20, 32, 0, -4, -40, 0, 28, 0, 0, 4, 12, 0, 0, 14, 0, 36, 104, 0, -136, -18, 0, -26, 0, 0, -38, 12, 0, 0, 28, 0, 22, -16, 0, 8, 38, 0, -4, 0, 0, 28, -78, 0, 0, -46, 0, 88, 126, 0, 10, 68, 0, -12, 0, 0, -170, 22, 0, 0, 52, 0, 46, 224, 0, 24, -60, 0, 76, 0, 0, -8, -206, 0, 0, -94, 0, 30, -4, 0, 44, -52, 0, 84, 0, 0, -10, 54, 0, 0, -94, 0, -30, 8, 0, -2, 224, 0, 96, 0, 0, -16, 10, 0, 0, -10, 0, 112, -12, 0, -108, -24, 0, -2, 0, 0, 34, -2, 0, 0, 36, 0, -50, 16, 0, 68, -168, 0, 18, 0, 0, 38, 60, 0, 0, -102, 0, -6, -76, 0, -68, 6, 0, -32, 0, 0, 64, -22, 0, 0, 146, 0, -28, 26, 0, -12, -60, 0, 28, 0, 0, 24, 0, 0, 0, 16, 0, 22, -44, 0, -198, 28, 0, -28, 0, 0, -22, 48, 0, 0, -6, 0, -62, 20, 0, 28, -68, 0, 218, 0, 0, -28, 118, 0, 0, -28, 0, -2, -150, 0, -112, 22, 0, -60, 0, 0, -56, -12, 0, 0, -18, 0, -172, 34, 0, 52, 6, 0, 0, 0, 0, -20, -8, 0, 0, -10, 0, 102, -28, 0, -104, -4, 0, 2, 0, 0, -60, -42, 0, 0, -26, 0, 132, -20, 0, -10, -44, 0, -18, 0, 0, 120, 116, 0, 0, 12, 0, -44, 28, 0, -16, -34, 0, -82, 0, 0, 32, 40, 0, 0, 38, 0, 280, 34, 0, 6, -60, 0, -40, 0, 0, -12, -12, 0, 0, -12, 0, 18, -28, 0, 10, 110, 0, 0, 0, 0, 120, 30, 0, 0, 196, 0, 2, 172, 0, 0, -48, 0, -10, 0, 0, -14, 92, 0, 0, 70, 0, 6, 206, 0, -158, 64, 0, 10, 0, 0, 76, 112, 0, 0, 62, 0, -68, -16, 0, -46, -146, 0, -112, 0, 0, 32, 36, 0, 0, 20, 0, 2, 84, 0, -2, -18, 0, -52, 0, 0, -12, 4, 0, 0, -112, 0, -94, -92, 0, -12, 104, 0, 12, 0, 0, -28, 32, 0, 0, -80, 0, 48, 102, 0, -76, -42, 0, 36, 0, 0, 4, -52, 0, 0, 32, 0, 124, 28, 0, -40, 44, 0, -96, 0, 0, 16, 52, 0, 0, 24, 0, 4, -50, 0, -16, 94, 0, 16, 0, 0, 64, 28, 0, 0, -40, 0, 0, 52, 0, 68, -84, 0, -32, 0, 0, -26, 92, 0, 0, 32, 0, 28, 18, 0, -46, -4, 0, -118, 0, 0, -170, 60, 0, 0, -128, 0, 34, 24, 0, -12, -2, 0, -66, 0, 0, -22, 18, 0, 0, 0, 0, -48, -44, 0, 28, 30, 0, 84, 0, 0, 42, 0, 0, 0, -38, 0, -124, -2, 0, 2, -10, 0, -72, 0, 0, -26, 168, 0, 0, 2, 0, 74, -26, 0, -12, 6, 0, -34, 0, 0, -70, -124, 0, 0, 130, 0, 60, -26, 0, 12, -8, 0, 90, 0, 0, 38, -8, 0, 0, -28, 0, 92, 154, 0, -120, -26, 0, -14, 0, 0, 280, 0, 0, 0, 30, 0, -58, 72, 0, 94, 202, 0, 88, 0, 0, 128, 54, 0, 0, -32, 0, -38, 140, 0, 12, 8, 0, 86, 0, 0, -204, 56, 0, 0, 28, 0, 4, -10, 0, -10, 42, 0, 152, 0, 0, -22, 30, 0, 0, -14, 0, -120, 32, 0, 60, -112, 0, 20, 0, 0, -20, 8, 0, 0, 50, 0, -56, -6, 0, 4, -44, 0, 34, 0, 0, 114, -176, 0, 0, 86, 0, 0, 212, 0, 60, 30, 0, 28, 0, 0, 202, 100, 0, 0, 146, 0, -2, 72, 0, 168, 48, 0, 46, 0, 0, 40, 68, 0, 0, 2, 0, 16, -40, 0, 88, 34, 0, -36, 0, 0, 24, 84, 0, 0, -36, 0, -40, 2, 0, -72, 6, 0, 364, 0, 0, 26, -102, 0, 0, -52, 0, -6, 14, 0, 30, -126, 0, -108, 0, 0, 164, -24, 0, 0, 28, 0, 42, 12, 0, -58, -56, 0, -88, 0, 0, 0, -10, 0, 0, 18, 0, 24, 26, 0, -34], "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": "9450.2.a.ec", "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], [1, 0], [-1, 0], [0, 0], [0, 0], [0, 2], [0, 0], [-2, 1], [-1, 0], [0, 0], [1, 0], [1, 0], [0, 0], [-1, 2], [0, 0], [0, 0], [0, -2], [1, 1], [0, 0], [0, 0], [2, -1], [0, 0], [1, 0], [8, -1], [0, 0], [-2, 2], [-1, 0], [0, 0], [-1, 0], [0, 0], [0, 0], [-7, 1], [1, -2], [0, 0], [0, 0], [-2, 2], [0, 0], [3, 1], [0, 2], [0, 0], [-1, -1], [2, 1], [0, 0], [1, 0], [0, 0], [0, 0], [-2, 1], [0, 1], [0, 0], [0, 0], [-1, 0], [0, 0], [-8, 1], [8, -2], [0, 0], [0, -1], [2, -2], [0, 0], [1, 0], [0, 0], [0, 0], [-3, -3], [1, 0], [0, 0], [0, 0], [6, -2], [0, 0], [0, 2], [7, -1], [0, 0], [-1, 2], [0, 2], [0, 0], [-8, 3], [0, 0], [0, 0], [2, -2], [-1, 1], [0, 0], [0, 0], [-3, -1], [0, 0], [0, -2], [1, 0], [0, 0], [-2, 1], [1, 1], [0, 0], [-2, -1], [0, 0], [0, 0], [-5, 3], [-1, 0], [0, 0], [0, 0]]}