# Stored data for newform 9800.2.a.l, downloaded from the LMFDB on 28 March 2024. {"label": "9800.2.a.l", "space_label": "9800.2.a", "level": 9800, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934639688, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 270497241841723520, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [2, 1]], [11, [-5, 1]], [13, [0, 1]], [19, [-2, 1]], [23, [7, 1]]], "qexp_display": "q-2q^{3}+q^{9}+5q^{11}-8q^{17}+2q^{19}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 39200, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 78.25339398085478, "hecke_ring_index": 1, "level_radical": 70, "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": [9800, 1, [7351, 4901, 1177, 5001], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.025", "prec": 17}, {"__RealLiteral__": 0, "data": "0.967", "prec": 17}, {"__RealLiteral__": 0, "data": "0.012", "prec": 17}, {"__RealLiteral__": 0, "data": "1.893", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.637", "prec": 17}], "related_objects": ["EllipticCurve/Q/9800/l"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, 1], [7, -1]], "trace_display": [0, -2, 0, 0], "traces": [0, 1, 0, -2, 0, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 0, 0, -8, 0, 2, 0, 0, 0, -7, 0, 0, 0, 4, 0, -3, 0, -4, 0, -10, 0, 0, 0, -1, 0, 0, 0, 2, 0, 3, 0, 0, 0, -6, 0, 0, 0, 16, 0, 10, 0, 0, 0, -4, 0, 4, 0, 6, 0, 0, 0, 0, 0, 13, 0, 14, 0, 5, 0, -6, 0, 0, 0, 0, 0, -13, 0, -11, 0, -16, 0, 0, 0, 6, 0, 0, 0, 0, 0, 8, 0, 0, 0, 12, 0, 5, 0, 18, 0, 2, 0, 0, 0, -12, 0, 5, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 14, 0, -4, 0, 0, 0, 13, 0, -6, 0, -4, 0, 0, 0, 0, 0, -18, 0, 2, 0, 12, 0, 0, 0, 0, 0, 0, 0, -17, 0, -19, 0, -8, 0, 0, 0, -10, 0, -20, 0, 0, 0, -4, 0, 0, 0, 8, 0, -13, 0, 2, 0, 22, 0, 0, 0, -8, 0, -24, 0, 22, 0, -12, 0, 0, 0, -40, 0, 0, 0, 12, 0, 17, 0, 0, 0, -3, 0, -26, 0, -26, 0, 0, 0, 0, 0, -7, 0, 10, 0, 20, 0, -10, 0, 0, 0, 0, 0, 12, 0, 0, 0, 14, 0, 0, 0, -14, 0, -14, 0, 0, 0, -29, 0, 0, 0, 26, 0, 24, 0, 22, 0, 10, 0, 0, 0, 0, 0, 32, 0, 4, 0, -35, 0, 0, 0, 12, 0, 0, 0, -3, 0, -5, 0, 0, 0, 0, 0, 24, 0, 8, 0, 0, 0, 0, 0, 22, 0, -4, 0, 9, 0, -10, 0, 0, 0, 0, 0, 47, 0, -24, 0, 12, 0, 0, 0, 20, 0, 0, 0, 0, 0, -36, 0, 0, 0, 12, 0, -4, 0, 4, 0, -14, 0, 0, 0, 1, 0, -15, 0, 24, 0, -16, 0, 0, 0, -10, 0, 0, 0, 3, 0, -1, 0, 0, 0, 14, 0, -2, 0, -20, 0, 0, 0, 0, 0, -29, 0, 22, 0, 0, 0, 20, 0, 0, 0, 0, 0, -15, 0, -15, 0, -28, 0, 0, 0, 22, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 15, 0, -26, 0, -12, 0, 0, 0, 3, 0, 5, 0, 56, 0, 8, 0, 0, 0, 18, 0, 0, 0, 25, 0, 0, 0, 0, 0, -5, 0, -6, 0, 36, 0, 0, 0, 0, 0, -4, 0, -16, 0, -33, 0, -6, 0, 0, 0, 0, 0, 0, 0, 20, 0, -24, 0, 0, 0, -14, 0, 16, 0, 0, 0, -4, 0, 0, 0, 34, 0, 31, 0, 10, 0, 38, 0, 0, 0, 37, 0, -32, 0, 40, 0, 24, 0, 0, 0, 14, 0, 0, 0, 20, 0, 15, 0, 0, 0, 10, 0, 16, 0, 0, 0, 0, 0, 0, 0, -13, 0, 8, 0, -11, 0, 24, 0, 0, 0, 0, 0, 4, 0, -16, 0, -38, 0, 0, 0, 26, 0, 24, 0, 0, 0, 8, 0, 0, 0, -30, 0, -44, 0, 18, 0, 4, 0, 0, 0, 32, 0, 26, 0, 4, 0, 0, 0, 0, 0, 48, 0, 0, 0, -13, 0, -44, 0, 0, 0, 17, 0, 6, 0, -6, 0, 0, 0, 0, 0, 9, 0, 0, 0, 80, 0, 6, 0, 0, 0, 0, 0, 13, 0, 19, 0, -24, 0, 0, 0, 2, 0, -34, 0, 0, 0, 50, 0, 0, 0, 30, 0, -8, 0, 6, 0, -12, 0, 0, 0, 52, 0, -5, 0, -40, 0, 13, 0, 0, 0, -48, 0, 0, 0, 0, 0, 35, 0, 0, 0, -9, 0, 4, 0, -28, 0, 0, 0, 0, 0, -20, 0, 8, 0, 7, 0, -40, 0, 0, 0, 0, 0, 5, 0, -7, 0, -16, 0, 0, 0, 26, 0, 20, 0, 0, 0, 18, 0, 0, 0, -6, 0, 20, 0, -30, 0, 0, 0, 0, 0, 21, 0, -28, 0, 30, 0, -30, 0, 0, 0, -6, 0, 0, 0, 28, 0, 27, 0, 0, 0, 28, 0, 0, 0, -14, 0, 0, 0, 0, 0, -16, 0, 58, 0, 30, 0, -2, 0, 0, 0, 0, 0, 30, 0, -13, 0, 28, 0, 0, 0, -48, 0, -6, 0, 0, 0, -44, 0, 0, 0, -40, 0, 13, 0, -24, 0, 28, 0, 0, 0, 65, 0, 1, 0, 0, 0, 24, 0, 0, 0, -16, 0, 0, 0, 12, 0, -8, 0, 0, 0, 15, 0, 70, 0, -48, 0, 0, 0, 0, 0, 0, 0, -34, 0, -24, 0, 36, 0, 0, 0, 0, 0, 4, 0, 25, 0, -12, 0, 0, 0, 18, 0, 10, 0, 0, 0, 0, 0, 0, 0, 44, 0, 48, 0, 0, 0, -30, 0, 0, 0, -48, 0, -29, 0, 50, 0, -16, 0, 0, 0, 6, 0, 0, 0, -54, 0, 53, 0, 0, 0, 11, 0, -20, 0, -44, 0, 0, 0, 0, 0, -16, 0, -46, 0, -20, 0, -18, 0, 0, 0, 0, 0, 20, 0, 7, 0, -28, 0, 0, 0, 54, 0, 14, 0, 0, 0, 43, 0, 0, 0, -94, 0, -65, 0, 0, 0, 12, 0, 0, 0, -18, 0, -24, 0, -20, 0, -35, 0, 0, 0, -6, 0, 0, 0, -55, 0, -12, 0, 0, 0, 0, 0, 12, 0, -80, 0, 0, 0, 0, 0, -28, 0, 18, 0, 27, 0, -80, 0, 0, 0, 0, 0, 15, 0, -24, 0, 0, 0, 0, 0, 2, 0, 22, 0, 0, 0, -8, 0, 0, 0, 22, 0, 28, 0, 12, 0, -14, 0, 0, 0, -20, 0, 0, 0, -2, 0, 5, 0, 0, 0, 30, 0, 0, 0, -15, 0, -12, 0, 0, 0, 56, 0, 32, 0, 26, 0, 0, 0, 0, 0, 51, 0, 0, 0, 5, 0, 12, 0, 0, 0, 0, 0, -21, 0, -13, 0, -6, 0, 0, 0, -2, 0, -4, 0, 0, 0, -32, 0, 0, 0, 20, 0, -5, 0, -28, 0, 4, 0, 0, 0, 1, 0, 15, 0, 38, 0, 40, 0, 0, 0, 0, 0, 0, 0, 35, 0, 22, 0, 0, 0, -48, 0, -18, 0, 58, 0, 0, 0, 0, 0, -44, 0, -12, 0, -45, 0, 0, 0, 0, 0, 0, 0, -40, 0, -18, 0, 52, 0, 0, 0, 60, 0, 24, 0, 0, 0, 3, 0, 0, 0, 30, 0, 0, 0, 42, 0, 30, 0, 0, 0, 11, 0, 14, 0, -32, 0, 51, 0, 0, 0, 18, 0, 0, 0, -44, 0, 9, 0, 0, 0, 8, 0, -46, 0, 90, 0, 0, 0, 0, 0, 29, 0, -2, 0, 8, 0, 46, 0, 0, 0, 0, 0, 25, 0, 0, 0, 10, 0, 0, 0, -30, 0, -104, 0, 0, 0, 13, 0, 0, 0, 4, 0, 24, 0, -42, 0, 46, 0, 0, 0, 0, 0, 12, 0, 12, 0, -51, 0, 0, 0, -10, 0, 0, 0, 33, 0, -112, 0, 0, 0, -60, 0, -4, 0, 10, 0, 0, 0, 0, 0, 15, 0, -6, 0, -36, 0, 30, 0, 0, 0, 0, 0, 25, 0, 21, 0, -50, 0, 0, 0, -40, 0, 0, 0, 0, 0, 47, 0, 0, 0, 2, 0, -70, 0, 10, 0, -52, 0, 0, 0, 12, 0, -6, 0, -50, 0, -18, 0, 0, 0, -32, 0, 0, 0, 48, 0, 5, 0, 0, 0, -9, 0, -58, 0, 2, 0, 0, 0, 0, 0, 32, 0, 38, 0, 0, 0, 66, 0, 0, 0, 0, 0, -24, 0, -8, 0, 26, 0, 0, 0, -6, 0, 42, 0, 0, 0, -32, 0, 0, 0, 0, 0, -9, 0, 38, 0, -40, 0, 0, 0, 27, 0, 48, 0, -12, 0, -29, 0, 0, 0, 16, 0, 0, 0, 28, 0, 0, 0, 0, 0, -32, 0, -10, 0, 64, 0, 0, 0, 0, 0, -37, 0, 8, 0, 15, 0, -12, 0, 0, 0, 0, 0, 0, 0, -17, 0, 104, 0, 0, 0, -62, 0, 10, 0, 0, 0, -20, 0, 0, 0, -28, 0, -19, 0, 22, 0, 18, 0, 0, 0, -59, 0, -36, 0, -74, 0, 27, 0, 0, 0, 88, 0, 0, 0, 5, 0, -80, 0, 0, 0, -12, 0, -48, 0, 0, 0, 0, 0, 0, 0, 65, 0, -44, 0, -28, 0, -42, 0, 0, 0, 0, 0, -21, 0, 128, 0, -10, 0, 0, 0, 0, 0, -30, 0, 0, 0, -7, 0, 0, 0, -28, 0, 70, 0, 40, 0, 6, 0, 0, 0, -32, 0, 59, 0, -20, 0, 0, 0, 0, 0, -8, 0, 0, 0, -3, 0, -5, 0, 0, 0, 24, 0, 0, 0, 26, 0, 0, 0, 0, 0, -4, 0, 0, 0, 36, 0, 22, 0, 0, 0, 0, 0, -48, 0, -37, 0, 4, 0, 0, 0, -48, 0, 18, 0, 0, 0, -3, 0, 0, 0, -8, 0, 53, 0, -26, 0, 8, 0, 0, 0, -90, 0, 76, 0, 48, 0, 0, 0, 0, 0, -2, 0, 0, 0, -13, 0, 21, 0, 0, 0, -48, 0, 10, 0, 8, 0, 0, 0, 0, 0, -30, 0, -22, 0, -91, 0, 64, 0, 0, 0, 0, 0, -29, 0, 60, 0, 28, 0, 0, 0, 22, 0, -48, 0, 0, 0, -36, 0, 0, 0, 14, 0, -8, 0, -42, 0, 0, 0, 0, 0, -32, 0, 32, 0, -64, 0, -8, 0, 0, 0, -52, 0, 0, 0, -3, 0, 16, 0, 0, 0, -10, 0, 0, 0, 30, 0, 0, 0, 0, 0, 24, 0, -36, 0, -24, 0, -26, 0, 0, 0, 0, 0, 12, 0, -43, 0, 26, 0, 0, 0, -28, 0, 22, 0, 0, 0, -35, 0, 0, 0, 6, 0, -85, 0, -34, 0, -40, 0, 0, 0, 24, 0, -96, 0, 0, 0, 12, 0, 0, 0, -38, 0, 0, 0, -95, 0, -28, 0, 0, 0, -5, 0, 56, 0, -18, 0, 0, 0, 0, 0, 0, 0, 42, 0, -37, 0, -40, 0, 0, 0, 0, 0, -12, 0, 0, 0, 28, 0, 0, 0, -30, 0, 32, 0, 0, 0, 0, 0, 0, 0, -26, 0, -45, 0, -12, 0, -38, 0, 0, 0, -144, 0, 12, 0, -50, 0, 51, 0, 0, 0, -50, 0, 0, 0, -4, 0, 55, 0, 0, 0, 17, 0, 6, 0, -20, 0, 0, 0, 0, 0, 52, 0, -100, 0, -16, 0, -4, 0, 0, 0, 0, 0, -21, 0, -60, 0, 6, 0, 0, 0, 16, 0, -18, 0, 0, 0, -3, 0, 0, 0, 28, 0, 24, 0, 0, 0, -36, 0, 0, 0, -45, 0, 42, 0, -26, 0, -20, 0, 0, 0, 10, 0, 0, 0, 31, 0, 80, 0, 0, 0, 0, 0, 52, 0, -8, 0, 0, 0, 0, 0, 91, 0, 96, 0, 96, 0, -66, 0, 0, 0, 0, 0, -16, 0, 8, 0, 0, 0, 0, 0, 40, 0, -70, 0, 0, 0, 24, 0, 0, 0, 16, 0, -34, 0, 18, 0, -40, 0, 0, 0, -8, 0, -65, 0, -60, 0, 77, 0, 0, 0, 2, 0, 0, 0, -51, 0, 81, 0, 0, 0, -15, 0, -28, 0, 10, 0, 0, 0, 0, 0, -16, 0, -10, 0, -24, 0, -14, 0, 0, 0, 0, 0, 20, 0, 35, 0, 110, 0, 0, 0, -56, 0, 112, 0, 0, 0, -9, 0, 0, 0, 20, 0, 36, 0, -8, 0, 14, 0, 0, 0, -12, 0, 32, 0, -78, 0, 1, 0, 0, 0, 0, 0, 0, 0, -52, 0, -39, 0, 0, 0, -40, 0, -72, 0, 22, 0, 0, 0, 0, 0, 4, 0, -36, 0, -10, 0, 0, 0, 0, 0, 0, 0, -120, 0, -24, 0, -48, 0, 0, 0, -40, 0, 34, 0, 0, 0, 60, 0, 0, 0, -34, 0, 0, 0, 110, 0, 62, 0, 0, 0, -6, 0, 55, 0, -42, 0, -45, 0, 0, 0, 14, 0, 0, 0, -29, 0, -60, 0, 0, 0, -62, 0, 60, 0, -18, 0, 0, 0, 0, 0, -11, 0, 40, 0, 12, 0, -24, 0, 0, 0, 0, 0, -57, 0, 0, 0, -14, 0, 0, 0, 0, 0, -54, 0, 0, 0, 78, 0, 0, 0, -112, 0, -15, 0, -14, 0, 10, 0, 0, 0, 0, 0, -74, 0, 10, 0, 28, 0, 0, 0, -52, 0, 0, 0, 53, 0, -4, 0, 0, 0, 9, 0, 0, 0, 32, 0, 0, 0, 0, 0, -29, 0, -38, 0, 60, 0, -60, 0, 0, 0, 0, 0, 4, 0, 24, 0, 62, 0, 0, 0, 18, 0, 0, 0, 0, 0, 85, 0, 0, 0, -60, 0, -19, 0, -8, 0, -52, 0, 0, 0, 22, 0, -56, 0, -66, 0, -35, 0, 0, 0, 2, 0, 0, 0, 24, 0, -75, 0, 0, 0, 12, 0, -104, 0, -8, 0, 0, 0, 0, 0, -15, 0, 22, 0, 0, 0, 20, 0, 0, 0, 0, 0, 47, 0, 80, 0, -4, 0, 0, 0, -56, 0, -130, 0, 0, 0, 48, 0, 0, 0, 0, 0, -56, 0, -20, 0, -26, 0, 0, 0, 33, 0, -11, 0, -130, 0, 55, 0, 0, 0, -2, 0, 0, 0, 18, 0, 0, 0, 0, 0, 32, 0, -48, 0, -84, 0, 0, 0, 0, 0, -29, 0, -50, 0, -64, 0, 60, 0, 0, 0, 0, 0, 0, 0, 12, 0, -24, 0, 0, 0, -6, 0, 4, 0, 0, 0, 24, 0, 0, 0, -58, 0, -11, 0, -30, 0, 36, 0, 0, 0, -35, 0, 30, 0, -24, 0, 96, 0, 0, 0, -10, 0, 0, 0, 39, 0, -2, 0, 0, 0, 51, 0, 28, 0, 0, 0, 0, 0, 0, 0, 68, 0, 54, 0, -25, 0, 12, 0, 0, 0, 0, 0, -72, 0, 100, 0, -126, 0, 0, 0, 0, 0, 144, 0, 0, 0, -25, 0, 0, 0, -8, 0, -47, 0, -34, 0, -50, 0, 0, 0, -41, 0, 33, 0, 30, 0, 0, 0, 0, 0, 50, 0, 0, 0, -36, 0, -16, 0, 0, 0, -5, 0, -14, 0, 66, 0, 0, 0, 0, 0, -23, 0, 0, 0, -78, 0, 70, 0, 0, 0, 0, 0, 67, 0, -88, 0, -18, 0, 0, 0, -96, 0, 64, 0, 0, 0, 0, 0, 0, 0, 48, 0, 60, 0, -90, 0, 26, 0, 0, 0, 42, 0, 8, 0, 24, 0, 4, 0, 0, 0, 58, 0, 0, 0, 0, 0, -100, 0, 0, 0, -27, 0, 8, 0, 12, 0, 0, 0, 0, 0, 16, 0, 52, 0, -12, 0, 70, 0, 0, 0, 0, 0, -67, 0, 84, 0, 108, 0, 0, 0, 86, 0, -106, 0, 0, 0, 30, 0, 0, 0, -42, 0, -13, 0, -22, 0, 0, 0, 0, 0, 40, 0, -8, 0, -60, 0, 22, 0, 0, 0, -70, 0, 0, 0, 12, 0, 59, 0, 0, 0, -35, 0, 0, 0, 44, 0, 0, 0, 0, 0, 92, 0, -70, 0, 35, 0, 40, 0, 0, 0, 0, 0, 9, 0, -23, 0, 136, 0, 0, 0, 12, 0, 68, 0, 0, 0, -11, 0, 0, 0, -10, 0, 6, 0, -72, 0, -14, 0, 0, 0, 89, 0, 56, 0, 0, 0, -145, 0, 0, 0, 152, 0, 0, 0, -108, 0, 64, 0, 0, 0, -28, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -86, 0, -51, 0, -56, 0, 0, 0, 0, 0, -7, 0, 47, 0, -36, 0, 0, 0, 130, 0, 14, 0, 0, 0, 0, 0, 0, 0, -34, 0, 48, 0, 70, 0, 18, 0, 0, 0, -5, 0, 120, 0, 36, 0, -3, 0, 0, 0, 12, 0, 0, 0, 4, 0, 40, 0, 0, 0, 29, 0, 70, 0, 110, 0, 0, 0, 0, 0, 13, 0, 10, 0, 12, 0, -36, 0, 0, 0, 0, 0, 80, 0, 5, 0, 50, 0, 0, 0, 64, 0, 24, 0, 0, 0, -9, 0, 0, 0, -6, 0, -79, 0, 0, 0, -60, 0, 0, 0, -24, 0, -59, 0, 6, 0, 160, 0, 0, 0, 78, 0, 0, 0, -87, 0, -41, 0, 0, 0, 0, 0, 4, 0, 56, 0, 0, 0, 0, 0, 72, 0, -52, 0, -52, 0, -54, 0, 0, 0, 0, 0, 160, 0, 21, 0, 0, 0, 0, 0, 26, 0, -40, 0, 0, 0, -71, 0, 0, 0, -30, 0, 0, 0, 20, 0, 12, 0, 0, 0, -23, 0, 0, 0, 32, 0, -24, 0, 0, 0, 24, 0, 0, 0, 8, 0, -98, 0, 0, 0, -44, 0, 90, 0, -40, 0, 0, 0, 0, 0, -63, 0, 4, 0, -2, 0, -42, 0, 0, 0, 0, 0, 47, 0, -44, 0, -36, 0, 0, 0, -14, 0, 60, 0, 0, 0, -24, 0, 0, 0, 60, 0, 28, 0, -34, 0, -64, 0, 0, 0, -9, 0, -64, 0, 40, 0, 44, 0, 0, 0, 0, 0, 0, 0, -73, 0, 1, 0, 0, 0, 67, 0, -10, 0, 6, 0, 0, 0, 0, 0, -36, 0, -38, 0, -15, 0, 104, 0, 0, 0, 0, 0, -48, 0, 39, 0, 30, 0, 0, 0, -22, 0, -48, 0, 0, 0, -25, 0, 0, 0, -84, 0, 0, 0, -112, 0, -84, 0, 0, 0, -16, 0, -26, 0, 10, 0, -52, 0, 0, 0, 18, 0, 0, 0, -91, 0, 13, 0, 0, 0, -24, 0, -54, 0, -102, 0, 0, 0, 0, 0, 0, 0, -60, 0, -176, 0, 20, 0, 0, 0, 0, 0, -24, 0, 0, 0, 16, 0, 0, 0, -62, 0, 120, 0, 0, 0, -49, 0, 0, 0, 42, 0, 22, 0, -20, 0, 26, 0, 0, 0, 0, 0, 3, 0, 40, 0, -20, 0, 0, 0, -6, 0, 0, 0, 4, 0, -12, 0, 0, 0, 11, 0, 42, 0, 58, 0, 0, 0, 0, 0, -48, 0, 64, 0, -51, 0, 28, 0, 0, 0, 0, 0, 76, 0, -40, 0, 52, 0, 0, 0, 10, 0, 0, 0, 0, 0, 14, 0, 0, 0, -4, 0, -8, 0, 104, 0, 192, 0, 0, 0, 110, 0, 45, 0, 4, 0, 15, 0, 0, 0, -30, 0, 0, 0, 89, 0, -76, 0, 0, 0, -68, 0, -20, 0, 16, 0, 0, 0, 0, 0, -176, 0, 28, 0, 0, 0, -66, 0, 0, 0, 0, 0, 66, 0, 45, 0, -70, 0, 0, 0, -8, 0, -44, 0, 0, 0, 36, 0, 0, 0, 0, 0, 9, 0, 96, 0, -50, 0, 0, 0, 36, 0, -43, 0, 6, 0, -29, 0, 0, 0, 40, 0, 0, 0, -72, 0, 0, 0, 0, 0, -34, 0, -18, 0, 22, 0, 0, 0, 0, 0, 24, 0, -78, 0, 126, 0, 90, 0, 0, 0, 0, 0, 0, 0, -15, 0, -58, 0, 0, 0, -32, 0, 18, 0, 0, 0, 16, 0, 0, 0, 20, 0, 235, 0, -50, 0, 36, 0, 0, 0, 12, 0, -104, 0, 54, 0, -8, 0, 0, 0, -14, 0, 0, 0, -120, 0, -69, 0, 0, 0, -48, 0, -14, 0, -26, 0, 0, 0, 0, 0, -103, 0, -6, 0, 83, 0, 60, 0, 0, 0, 0, 0, 5, 0, -15, 0, 60, 0, 0, 0, 0, 0, -26, 0, 0, 0, -84, 0, 0, 0, -96, 0, -15, 0, 48, 0, 64, 0, 0, 0, 29, 0, -19, 0, -22, 0, 0, 0, 0, 0, 56, 0, 0, 0, -49, 0, 64, 0, 0, 0, -3, 0, -102, 0, -136, 0, 0, 0, 0, 0, 44, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -3, 0, 2, 0, 22, 0, 0, 0, 90, 0, -18, 0, 0, 0, 59, 0, 0, 0, 48, 0, -91, 0, -22, 0, 80, 0, 0, 0, 92, 0, 42, 0, -56, 0, -180, 0, 0, 0, -30, 0, 0, 0, 0, 0, 63, 0, 0, 0, 4, 0, 24, 0, -58, 0, 0, 0, 0, 0, 1, 0, -86, 0, 51], "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": "1400.2.a.b", "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], [0], [-2], [0], [0], [0], [0], [0], [1], [0], [5], [0], [0], [0], [0], [0], [-8], [0], [2], [0], [0], [0], [-7], [0], [0], [0], [4], [0], [-3], [0], [-4], [0], [-10], [0], [0], [0], [-1], [0], [0], [0], [2], [0], [3], [0], [0], [0], [-6], [0], [0], [0], [16], [0], [10], [0], [0], [0], [-4], [0], [4], [0], [6], [0], [0], [0], [0], [0], [13], [0], [14], [0], [5], [0], [-6], [0], [0], [0], [0], [0], [-13], [0], [-11], [0], [-16], [0], [0], [0], [6], [0], [0], [0], [0], [0], [8], [0], [0], [0], [12], [0], [5], [0]]}