# Stored data for newform 9450.2.a.eq, downloaded from the LMFDB on 18 April 2024.
{"label": "9450.2.a.eq", "space_label": "9450.2.a", "level": 9450, "weight": 2, "hecke_orbit": 121, "hecke_orbit_code": 540431955318023402, "dim": 2, "is_polredabs": true, "nf_label": "2.2.28.1", "trace_hash": 1393568106345264640, "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": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.942", "prec": 17}, {"__RealLiteral__": 0, "data": "0.191", "prec": 17}, {"__RealLiteral__": 0, "data": "9.202", "prec": 17}, {"__RealLiteral__": 0, "data": "2.669", "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]]}