# Stored data for newform 7650.2.a.s, downloaded from the LMFDB on 23 April 2024.
{"label": "7650.2.a.s", "space_label": "7650.2.a", "level": 7650, "weight": 2, "hecke_orbit": 19, "hecke_orbit_code": 81064793326231010, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1646440204966743245, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [0, 1]], [11, [-6, 1]], [13, [3, 1]], [19, [7, 1]], [23, [8, 1]], [29, [-5, 1]]], "qexp_display": "q-q^{2}+q^{4}-q^{8}+6q^{11}-3q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 30600, "fricke_eigenval": -1, "atkin_lehner_string": "+---", "analytic_conductor": 61.085557546279496, "hecke_ring_index": 1, "level_radical": 510, "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": [7650, 1, [5951, 6427, 5851], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 17], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.988", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.994", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.060", "prec": 17}], "related_objects": ["EllipticCurve/Q/7650/s"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, -1], [17, -1]], "trace_display": [-1, 0, 0, 0], "traces": [0, 1, -1, 0, 1, 0, 0, 0, -1, 0, 0, 6, 0, -3, 0, 0, 1, 1, 0, -7, 0, 0, -6, -8, 0, 0, 3, 0, 0, 5, 0, 5, -1, 0, -1, 0, 0, -8, 7, 0, 0, 0, 0, 4, 6, 0, 8, 3, 0, -7, 0, 0, -3, 9, 0, 0, 0, 0, -5, -5, 0, -3, -5, 0, 1, 0, 0, 2, 1, 0, 0, 15, 0, 11, 8, 0, -7, 0, 0, 8, 0, 0, 0, 4, 0, 0, -4, 0, -6, 1, 0, 0, -8, 0, -3, 0, 0, 9, 7, 0, 0, 12, 0, 0, 3, 0, -9, -4, 0, 9, 0, 0, 0, -13, 0, 0, 5, 0, 5, 0, 0, 25, 3, 0, 5, 0, 0, -1, -1, 0, 0, -6, 0, 0, -2, 0, -1, 12, 0, 0, 0, 0, -15, -18, 0, 0, -11, 0, -8, 2, 0, -8, 7, 0, 0, 0, 0, -14, -8, 0, 0, 0, 0, 4, 0, 0, -4, -6, 0, -4, 0, 0, 4, 0, 0, 0, 6, 0, -1, 12, 0, 2, 0, 0, 8, 0, 0, 6, 3, 0, 0, 0, 0, -26, -9, 0, -7, 2, 0, 7, 0, 0, -12, 0, 0, 0, 0, 0, -3, -42, 0, 16, 9, 0, 4, 0, 0, 0, -9, 0, 0, -3, 0, 15, 0, 0, 13, -9, 0, 18, 0, 0, -5, 27, 0, 0, -5, 0, 0, -10, 0, -20, -25, 0, -3, 0, 0, 21, -5, 0, 0, -12, 0, -48, 1, 0, 1, 28, 0, 0, 0, 0, 6, 27, 0, 0, 0, 0, 2, 19, 0, -6, 1, 0, -12, 0, 0, 2, 0, 0, 0, 33, 0, -11, 15, 0, 18, 0, 0, 1, 0, 0, 11, -19, 0, 0, 8, 0, -2, 24, 0, 0, 8, 0, -7, 0, 0, 24, 0, 0, 0, 4, 0, 22, 14, 0, 8, 0, 0, 30, 0, 0, 0, -7, 0, 0, -4, 0, 0, 0, 0, 7, 4, 0, 6, 0, 0, -13, 4, 0, 0, 30, 0, 0, -4, 0, 0, 5, 0, -2, 0, 0, -6, -8, 0, 0, 1, 0, -12, 28, 0, 30, -2, 0, 0, 0, 0, 10, -8, 0, 0, 0, 0, 14, -6, 0, -3, -15, 0, -20, 0, 0, 0, -27, 0, 0, 26, 0, 9, -30, 0, -8, 7, 0, -2, 0, 0, 2, -7, 0, 0, 10, 0, -15, 12, 0, 0, -48, 0, -31, 0, 0, 0, 0, 0, 0, 3, 0, 42, 0, 0, 20, -16, 0, -9, 0, 0, 0, -4, 0, 0, 16, 0, -20, 0, 0, 9, 56, 0, 16, 0, 0, 3, 10, 0, 0, -15, 0, 0, 6, 0, 0, -13, 0, 9, 0, 0, 12, -18, 0, 0, 20, 0, -31, 5, 0, -27, -14, 0, 0, 0, 0, 5, 24, 0, 0, 0, 0, 10, 37, 0, 24, 20, 0, 25, 0, 0, 2, 3, 0, 0, 13, 0, 5, -21, 0, 5, 0, 0, -28, 0, 0, 12, -42, 0, 0, 48, 0, -1, 12, 0, 0, -1, 0, -28, 0, 0, 18, 0, 0, 0, -28, 0, -14, -6, 0, -27, 5, 0, 41, 0, 0, 0, 0, 0, 0, -2, 0, -19, -42, 0, -34, 6, 0, -1, 0, 0, -13, 12, 0, 0, -35, 0, 0, -2, 0, 0, 11, 0, -12, 0, 0, -33, 32, 0, 0, 11, 0, -15, 21, 0, -10, -18, 0, 0, 0, 0, -16, -1, 0, 0, 0, 0, 54, -11, 0, 19, 36, 0, -35, 0, 0, -8, 22, 0, 0, 2, 0, -24, 32, 0, -2, 0, 0, -8, 0, 0, 12, 7, 0, 0, -9, 0, 17, -24, 0, 0, -29, 0, 14, 0, 0, -4, 0, 0, 0, -22, 0, -14, -8, 0, -42, -8, 0, 0, 0, 0, 21, -30, 0, 0, -18, 0, 44, 0, 0, 7, 17, 0, -30, 0, 0, 4, 30, 0, 0, 0, 0, 0, -19, 0, -16, -7, 0, -4, 0, 0, -40, -6, 0, 0, -18, 0, 35, 13, 0, -4, -24, 0, 0, 0, 0, -30, 45, 0, 0, 0, 0, 4, -27, 0, -16, 0, 0, -5, 0, 0, 0, 2, 0, 0, 12, 0, 56, 6, 0, 8, 0, 0, 23, 0, 0, -1, -40, 0, 0, 12, 0, -28, 27, 0, 0, -30, 0, 2, 0, 0, 29, 0, 0, 0, 4, 0, 14, -10, 0, 8, 12, 0, -1, 0, 0, 0, 24, 0, 0, -14, 0, 6, 0, 0, 11, 3, 0, 15, 0, 0, 45, 20, 0, 0, -14, 0, 0, 0, 0, 27, 15, 0, 37, 0, 0, -26, -6, 0, 0, -9, 0, 30, 0, 0, 90, 8, 0, -7, 0, 0, 47, 2, 0, 0, 0, 0, 9, -2, 0, 7, 54, 0, 3, 0, 0, -10, 66, 0, 0, 15, 0, -12, -10, 0, -32, 0, 0, 48, 0, 0, -28, 31, 0, 0, 27, 0, 54, 0, 0, 0, -32, 0, 18, 0, 0, -3, -7, 0, 0, -42, 0, 0, -31, 0, -4, -20, 0, 16, 0, 0, 0, 9, 0, 0, 64, 0, -30, 0, 0, 4, -57, 0, 33, 0, 0, -16, -8, 0, 0, 20, 0, 0, 48, 0, -6, -9, 0, -56, 0, 0, 10, -16, 0, 0, -38, 0, 26, -3, 0, -10, -14, 0, 0, 0, 0, 15, -21, 0, 0, 0, 0, -6, 25, 0, 9, 0, 0, 13, 0, 0, -27, -9, 0, 0, -8, 0, 24, -12, 0, 18, 0, 0, -6, 0, 0, -20, -45, 0, 0, 31, 0, -5, 34, 0, 49, 27, 0, 14, 0, 0, 44, 0, 0, 0, 5, 0, 0, -5, 0, -24, -9, 0, -33, 0, 0, 0, -44, 0, 0, -10, 0, -37, 0, 0, -6, -24, 0, -20, 0, 0, 16, -25, 0, 0, -37, 0, 0, -2, 0, -3, 38, 0, 6, 0, 0, -13, 30, 0, 0, -5, 0, 21, -32, 0, -19, -5, 0, 0, 0, 0, -28, 28, 0, 0, 0, 0, -5, -12, 0, 42, -63, 0, -10, 0, 0, -48, -2, 0, 0, 1, 0, -12, -45, 0, 2, 0, 0, 1, 0, 0, -24, 28, 0, 0, -57, 0, -24, -18, 0, 0, -3, 0, 22, 0, 0, 28, 0, 0, 0, 14, 0, 6, 12, 0, -14, 27, 0, -5, 0, 0, 0, -41, 0, 0, 25, 0, 29, 0, 0, 0, 54, 0, -14, 0, 0, 2, -40, 0, 0, 19, 0, 42, -12, 0, -24, 34, 0, -6, 0, 0, 29, 1, 0, 0, 30, 0, -22, 13, 0, -12, -44, 0, 0, 0, 0, 35, 44, 0, 0, 0, 0, 2, -36, 0, 72, 0, 0, -11, 0, 0, 12, 12, 0, 0, 35, 0, -44, 33, 0, -32, 56, 0, -12, 0, 0, -11, 0, 0, 0, 15, 0, -21, 2, 0, 0, 10, 0, 18, 0, 0, -40, 0, 0, 0, -8, 0, 14, 16, 0, 1, -3, 0, 21, 0, 0, 0, 3, 0, 0, -54, 0, 11, 0, 0, -3, -19, 0, -36, 0, 0, -24, 35, 0, 0, -60, 0, 0, 8, 0, -22, 51, 0, 0, 0, 0, -2, -22, 0, 0, 24, 0, -32, 54, 0, -68, 2, 0, 0, 0, 0, 15, 8, 0, 0, 0, 0, -50, -12, 0, -7, -19, 0, -72, 0, 0, 9, 17, 0, 0, -17, 0, 24, 50, 0, 13, 0, 0, 29, 0, 0, 26, -14, 0, 0, 11, 0, -78, 4, 0, 0, 20, 0, -35, 0, 0, 22, 0, 0, 0, 14, 0, 8, -40, 0, -27, 42, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, -14, -21, 0, 30, -30, 0, 30, 0, 0, 18, 14, 0, 0, -44, 0, 0, -18, 0, -33, -7, 0, -17, 0, 0, -11, 30, 0, 0, -70, 0, 52, -4, 0, -30, 24, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 19, 51, 0, 28, 16, 0, 7, 0, 0, 47, 4, 0, 0, 84, 0, 20, 40, 0, 6, 0, 0, 0, 0, 0, 18, 8, 0, 0, -35, 0, -13, -105, 0, 0, 4, 0, 24, 0, 0, 40, 0, 0, 0, 31, 0, 15, 30, 0, -45, 12, 0, 27, 0, 0, 0, 23, 0, 0, -4, 0, 27, 0, 0, -28, 16, 0, 0, 0, 0, -77, 5, 0, 0, 12, 0, 0, 0, 0, -2, -6, 0, -33, 0, 0, -12, 24, 0, 0, -56, 0, -6, 2, 0, 4, -8, 0, 0, 0, 0, -27, -23, 0, 0, -35, 0, -14, 1, 0, 40, 54, 0, -12, 0, 0, -12, -29, 0, 0, 28, 0, -27, 15, 0, -36, 0, 0, 30, 0, 0, -15, -2, 0, 0, -26, 0, 5, -29, 0, 0, 15, 0, -36, 0, 0, -4, 0, 0, 0, -14, 0, 10, 39, 0, 50, -8, 0, -12, 0, 0, 0, 1, 0, 0, -33, 0, 34, 0, 0, -24, 4, 0, -4, 0, 0, 14, -24, 0, 0, -6, 0, 0, 8, 0, -56, -11, 0, -3, 0, 0, 72, -15, 0, 0, -60, 0, 1, -45, 0, -20, 0, 0, -35, 0, 0, 14, -29, 0, 0, 0, 0, 0, 0, 0, 12, -27, 0, -15, 0, 0, 45, -37, 0, 0, -16, 0, -64, 26, 0, 6, 0, 0, -20, 0, 0, 9, -15, 0, 0, -30, 0, 0, 69, 0, 0, -90, 0, -8, 0, 0, -56, 7, 0, 0, -24, 0, -75, -47, 0, -2, -28, 0, 8, 0, 0, 0, -7, 0, 0, -9, 0, 2, 0, 0, -32, -7, 0, -54, 0, 0, -79, -3, 0, 0, 56, 0, 0, 10, 0, -66, 53, 0, 4, 0, 0, -15, -13, 0, 0, 12, 0, 10, -47, 0, -21, 32, 0, 0, 0, 0, 52, -48, 0, 0, 0, 0, -120, 28, 0, -31, -46, 0, 12, 0, 0, -27, 45, 0, 0, -54, 0, 0, 9, 0, 3, 0, 0, 32, 0, 0, 26, -18, 0, 0, -48, 0, 52, 3, 0, 7, 26, 0, 38, 0, 0, 42, 0, 0, 0, 0, 0, 31, -88, 0, -41, 4, 0, 20, 0, 0, 0, -16, 0, 0, -7, 0, -68, 0, 0, -9, -21, 0, 48, 0, 0, -64, 18, 0, 0, 30, 0, 0, -36, 0, -25, -4, 0, 57, 0, 0, 12, -33, 0, 0, -67, 0, 5, 16, 0, 8, -84, 0, 0, 0, 0, -20, -26, 0, 0, 0, 0, -48, -24, 0, -7, 6, 0, 9, 0, 0, 24, 56, 0, 0, 0, 0, -58, -10, 0, 16, 0, 0, -16, 0, 0, 38, 0, 0, 0, -26, 0, 3, -15, 0, 0, 10, 0, 14, 0, 0, -68, 0, 0, 0, -36, 0, 65, -15, 0, 21, -68, 0, 62, 0, 0, 0, 24, 0, 0, 6, 0, -25, 0, 0, 43, -9, 0, 0, 0, 0, 0, -13, 0, 0, 63, 0, 56, 27, 0, 9, -64, 0, -4, 0, 0, 8, 36, 0, 0, -24, 0, 12, -25, 0, -63, -18, 0, 0, 0, 0, -36, 6, 0, 0, 0, 0, -63, 20, 0, 45, 46, 0, -27, 0, 0, -31, 9, 0, 0, 5, 0, -34, -24, 0, 46, -49, 0, -27, 0, 0, -4, -14, 0, 0, -12, 0, 5, -44, 0, 0, 38, 0, -70, 0, 0, -5, 0, 0, 0, 0, 0, 5, 49, 0, -15, 24, 0, 9, 0, 0, 0, 33, 0, 0, -15, 0, 0, 0, 0, 44, 65, 0, -32, 0, 0, 10, 24, 0, 0, 37, 0, 0, -84, 0, -13, 6, 0, 24, 0, 0, 0, 20, 0, 0, -40, 0, 6, -16, 0, 25, -6, 0, 0, 0, 0, 37, 10, 0, 0, 0, 0, 2, -33, 0, 26, 3, 0, -38, 0, 0, 0, -6, 0, 0, -72, 0, 24, 13, 0, -30, 0, 0, 72, 0, 0, 5, -37, 0, 0, -21, 0, 32, -16, 0, 0, 19, 0, 5, 0, 0, 4, 0, 0, 0, 12, 0, -16, 28, 0, -28, -3, 0, 55, 0, 0, 0, -17, 0, 0, 5, 0, 12, 0, 0, 74, -42, 0, 63, 0, 0, -18, 10, 0, 0, 12, 0, 0, 48, 0, 2, 12, 0, 9, 0, 0, -1, 28, 0, 0, 12, 0, 45, -74, 0, 42, -2, 0, 0, 0, 0, -8, -1, 0, 0, 0, 0, 79, 24, 0, -28, 25, 0, 75, 0, 0, 57, -36, 0, 0, 24, 0, 18, -54, 0, -63, 0, 0, 3, 0, 0, 10, -22, 0, 0, -64, 0, -34, -28, 0, 0, 45, 0, -85, 0, 0, -14, 0, 0, 0, -6, 0, -12, -35, 0, 0, 14, 0, -27, 0, 0, -28, 5, 0, 0, 64, 0, 2, 0, 0, 41, 55, 0, -12, 0, 0, -25, -156, 0, 0, -29, 0, 0, -15, 0, -22, 0, 0, -54, 0, 0, -11, 14, 0, 0, 10, 0, 68, -2, 0, 40, 91, 0, 0, 0, 0, -19, 35, 0, 0, -42, 0, 12, -1, 0, -23, 24, 0, -34, 0, 0, 12, 6, 0, 0, 18, 0, 0, -29, 0, -1, 0, 0, 18, 0, 0, -30, 40, 0, 0, 22, 0, -13, 42, 0, 0, 12, 0, 44, 0, 0, 51, 0, 0, 0, 75, 0, -39, -35, 0, -44, -24, 0, -38, 0, 0, 0, 18, 0, 0, -2, 0, 36, 0, 0, 90, -72, 0, 0, 0, 0, -6, 11, 0, 0, -72, 0, 0, -12, 0, -12, -4, 0, -4, 0, 0, -35, 70, 0, 0, 44, 0, -33, 0, 0, 32, 32, 0, -56, 0, 0, 24, 12, 0, 0, 0, 0, 55, 11, 0, 0, -60, 0, -20, 0, 0, -15, -14, 0, 0, 21, 0, -2, 36, 0, 8, 0, 0, -10, 0, 0, -56, -18, 0, 0, 40, 0, -19, 40, 0, 0, -54, 0, -175, 0, 0, 8, -21, 0, 0, -14, 0, -16, 33, 0, -22, -1, 0, 3, 0, 0, 0, -21, 0, 0, 96, 0, -96, 0, 0, -3, -36, 0, 12, 0, 0, 54, -66, 0, 0, -11, 0, 0, 62, 0, 30, 3, 0, 19, 0, 0, -52, 36, 0, 0, -17, 0, -6, 24, 0, -35, -48, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -8, 0, 0, -52, 22, 0, -51, 0, 0, 42, 0, 0, 0, 54, 0, 34, 2, 0, 22, 0, 0, 12, 0, 0, -24, -14, 0, 0, 32, 0, -54, -66, 0, 49, 68, 0, -2, 0, 0, 20, 0, 0, 0, -4, 0, 7, -15, 0, -8, -38, 0, 0, 0, 0, 0, -27, 0, 0, 50, 0, 12, 0, 0, -18, 7, 0, 19, 0, 0, -58, 72, 0, 0, 48, 0, 0, -9, 0, -17, 16, 0, 40, 0, 0, 17, 90, 0, 0, -24, 0, -50, 34, 0, 32, -13, 0, 0, 0, 0, -38, -29, 0, 0, 0, 0, 20, -26, 0, 14, -54, 0, -16, 0, 0, -11, 0, 0, 0, 78, 0, -4, 42, 0, 27, 0, 0, -20, 0, 0, -54, 35, 0, 0, 0, 0, 29, -22, 0, 0, -72, 0, 78, 0, 0, -14, 0, 0, 0, -8, 0, 40, 108, 0, 52, 27, 0, -42, 0, 0, 0, -8, 0, 0, -63, 0, 2, 0, 0, 0, -20, 0, -50, 0, 0, 0, 60, 0, 0, 14, 0, 21, 44, 0, -44, -30, 0, 30, 0, 0, 38, -30, 0, 0, -6, 0, 162, -18, 0, -14, -8, 0, 0, 0, 0, 44, 20, 0, 0, 0, 0, 18, 44, 0, 5, 33, 0, 7, 0, 0, -21, 17, 0, 0, -27, 0, -24, 11, 0, -30, -63, 0, 104, 0, 0, 70, -84, 0, 0, -52, 0, 4, 69, 0, 0, 30, 0, -24, 0, 0, -98, 0, 0, 0, -85, 0, -12, 0, 0, 36, -120, 0, -60, 0, 0, 0, 22, 0, 0, -19, 0, -51, 0, 0, 0, -28, 0, -16, 0, 0, 18, -7, 0, 0, -120, 0, 0, -47, 0, -4, 53, 0, 28, 0, 0, -84, -6, 0, 0, -20, 0, -40, -14, 0, 14, -6, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, -7, -18, 0, -8, -48, 0, -98, 0, 0, 35, -74, 0, 0, 13, 0, 105, 31, 0, -88, 0, 0, -4, 0, 0, -92, -24, 0, 0, 62, 0, -50, -40, 0, 0, 126, 0, -74, 0, 0, -31, 0, 0, 0, -15, 0, -30, 78, 0, -104, 45, 0, -12, 0, 0, 0, -27, 0, 0, -20, 0, -48, 0, 0, -23, 0, 0, 82, 0, 0, 4, 54, 0, 0, -27, 0, 0, 5, 0, -72, 28, 0, -16, 0, 0, 75, 0, 0, 0, 4, 0, -15, 77, 0, -5, 17, 0, 0, 0, 0, -12, -200, 0, 0, 0, 0, 0, 18, 0, 28, 2, 0, 6, 0, 0, -67, 33, 0, 0, 18, 0, -28, 12, 0, -24, 0, 0, 28, 0, 0, 56, 45, 0, 0, 6, 0, -2, -10, 0, 0, -4, 0, 8, 0, 0, 168, 0, 0, 0, -14, 0, -69, 27, 0, 23, -49, 0, -6, 0, 0, 35, -62, 0, 0, 14, 0, -1, 0, 0, -24, -40, 0, -54, 0, 0, -14, 12, 0, 0, 21, 0, 0, 12, 0, 29, -9, 0, 56, 0, 0, -28, -4, 0, 0, 27, 0, -15, 44, 0, 8, 36, 0, 0, 0, 0, 38, -30, 0, 0, 35, 0, 162, 15, 0, 2, 61, 0, -45, 0, 0, 26, 21, 0, 0, -5, 0, 29, -26, 0, 0, 0, 0, -15, 0, 0, -74, 36, 0, 0, 8, 0, -64, 4, 0, 0, -58, 0, 60, 0, 0, 14, 0, 0, 0, -10, 0, -39, -91, 0, 0, -50, 0, 8, 0, 0, 0, 12, 0, 0, 27, 0, -29, 0, 0, -1, -55, 0, 114, 0, 0, 33, 84, 0, 0, -34, 0, 0, 90, 0, 61, 24, 0, -4, 0, 0, -54, 4, 0, 0, -36, 0, 98, -14, 0, 24, 0, 0, 21, 0, 0, 6, 0, 0, 0, 0, 0, -8, -88, 0, -99, 56, 0, 11, 0, 0, 45, 3, 0, 0, 65, 0, 48, -72, 0, 15, 0, 0, 34, 0, 0, 60, 30, 0, 0, -1, 0, 45, -81, 0, 0, 20, 0, 0, 0, 0, -12, 35, 0, 0, -39, 0, 12, -14, 0, 29, 12, 0, 64, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, -94, -12, 0, 27, 0, 0, 20, 15, 0, 0, -32, 0, 0, -45, 0, 37, 2, 0, -104, 0, 0, 16, 4, 0, 0, 64, 0, -26, -72, 0, 198, -6, 0, 0, 0, 0, -28, 20, 0, 0, 0, 0, -20, -9, 0, 15, 30, 0, -4, 0, 0, 30, -66, 0, 0, 0, 0, -69, -22, 0, 16, 0, 0, 90, 0, 0, -45, 8, 0, 0, 60, 0, 60, 56, 0, -7, -52, 0, 44, 0, 0, 24, 0, 0, 0, 75, 0, 47, 6, 0, -96, 2, 0, 28, 0, 0, 0, -8, 0, 0, 45, 0, -40, 0, 0, 7, -6, 0, -38, 0, 0, 9, 42, 0, 0, -2, 0, 0, 6, 0, -64, 32, 0, 7, 0, 0, 14, 54, 0, 0, -21, 0, 0, 79, 0, 3, 0, 0, 0, 0, 0, -56, 7, 0, 0, 0, 0, -10, 29, 0, 28, 66, 0, -53, 0, 0, -6, -4, 0, 0, 46, 0, -114, 15, 0, 13, 0, 0, 4, 0, 0, -12, -27, 0, 0, -10, 0, 47], "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": "170.2.c.a", "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], [-1], [0], [1], [0], [0], [0], [-1], [0], [0], [6], [0], [-3], [0], [0], [1], [1], [0], [-7], [0], [0], [-6], [-8], [0], [0], [3], [0], [0], [5], [0], [5], [-1], [0], [-1], [0], [0], [-8], [7], [0], [0], [0], [0], [4], [6], [0], [8], [3], [0], [-7], [0], [0], [-3], [9], [0], [0], [0], [0], [-5], [-5], [0], [-3], [-5], [0], [1], [0], [0], [2], [1], [0], [0], [15], [0], [11], [8], [0], [-7], [0], [0], [8], [0], [0], [0], [4], [0], [0], [-4], [0], [-6], [1], [0], [0], [-8], [0], [-3], [0], [0], [9], [7], [0], [0]]}