# Stored data for newform 8670.2.a.g, downloaded from the LMFDB on 24 April 2024.
{"label": "8670.2.a.g", "space_label": "8670.2.a", "level": 8670, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27021597797786078, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1247736579813721573, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [-4, 1]], [11, [0, 1]], [13, [-2, 1]], [23, [0, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+4q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 34680, "fricke_eigenval": -1, "atkin_lehner_string": "++-+", "analytic_conductor": 69.2302985524501, "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": "0.033", "prec": 17}, "analytic_rank_proved": true, "char_values": [8670, 1, [2891, 6937, 6361], [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": "0.997", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.960", "prec": 17}, {"__RealLiteral__": 0, "data": "0.015", "prec": 17}, {"__RealLiteral__": 0, "data": "4.748", "prec": 17}], "related_objects": ["EllipticCurve/Q/8670/g"], "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, -1, 1, 4], "traces": [0, 1, -1, -1, 1, 1, 1, 4, -1, 1, -1, 0, -1, 2, -4, -1, 1, 0, -1, -4, 1, -4, 0, 0, 1, 1, -2, -1, 4, 6, 1, -8, -1, 0, 0, 4, 1, -2, 4, -2, -1, 6, 4, -4, 0, 1, 0, 0, -1, 9, -1, 0, 2, -6, 1, 0, -4, 4, -6, 0, -1, 10, 8, 4, 1, 2, 0, -4, 0, 0, -4, 0, -1, -2, 2, -1, -4, 0, 2, -8, 1, 1, -6, 12, -4, 0, 4, -6, 0, 18, -1, 8, 0, 8, 0, -4, 1, -2, -9, 0, 1, 18, 0, -4, -2, -4, 6, 12, -1, 10, 0, 2, 4, 18, -4, 0, 6, 2, 0, 0, 1, -11, -10, -6, -8, 1, -4, 20, -1, 4, -2, 0, 0, -16, 4, -1, 0, 6, 0, 4, 4, 0, 0, 0, 1, 6, 2, -9, -2, -6, 1, 8, 4, 0, 0, -8, -2, 2, 8, 6, -1, 0, -1, 4, 6, 0, -12, 0, 4, -9, 0, -4, -4, -18, 6, 4, 0, 0, -18, 24, 1, -14, -8, -10, 0, -2, -8, 0, 0, -4, 4, -24, -1, 22, 2, -2, 9, 6, 0, -8, -1, 4, -18, 24, 0, 6, 4, 0, 2, 0, 4, -20, -6, 0, -12, -4, 1, -32, -10, 2, 0, 0, -2, 20, -4, 1, -18, 12, 4, -10, 0, 0, -6, 18, -2, 0, 0, 8, 0, 24, -1, -2, 11, -1, 10, 9, 6, -8, 8, -12, -1, -24, 4, 0, -20, 0, 1, -18, -4, -8, 2, 6, 0, 0, 0, -6, 16, -18, -4, 6, 1, -16, 0, -8, -6, 0, 0, -2, -4, -8, -4, 18, 0, 28, 0, 4, 0, 24, -1, 0, -6, 2, -2, -6, 9, 0, 2, 0, 6, 0, -1, -16, -8, -18, -4, 10, 0, 20, 0, 4, 8, 0, 2, -2, -2, 4, -8, -18, -6, 0, 1, -12, 0, 0, 1, 2, -4, -10, -6, 0, 0, -28, 12, -2, 0, -4, -4, -26, 9, -18, 0, 0, 4, 8, 4, 0, 18, -12, -6, -10, -4, -2, 0, 6, 0, 0, 18, 0, -24, -24, -1, -3, 14, 11, 8, -2, 10, 28, 0, 6, 2, -24, 8, 26, 0, -1, 0, 12, 4, 4, -4, -20, 24, 0, 1, 0, -22, -4, -2, -6, 2, 0, -9, 0, -6, -8, 0, 22, 8, 16, 1, 6, -4, -16, 18, 1, -24, 0, 0, 26, -6, -6, -4, 0, 0, 12, -2, -4, 0, 0, -4, -10, 20, 0, 6, 0, 0, 40, 12, 0, 4, 0, -1, 26, 32, -6, 10, 0, -2, -8, 0, 9, 0, 12, 2, 18, -20, 6, 4, 6, -1, 0, 18, -8, -12, 8, -4, 26, 10, 0, 0, -30, 0, -4, 6, 8, -18, -36, 2, -16, 0, -2, 0, 0, -8, -4, 0, -6, -24, 24, 1, -4, 2, 0, -11, -2, 1, 28, -10, -4, -9, 24, -6, 0, 8, 0, -8, 0, 12, 4, 1, 0, 24, -24, -4, 18, 0, 9, 20, -6, 0, -8, -1, 4, 18, -4, 4, 0, 8, 18, -2, -18, -6, 20, 0, -4, 0, 0, 0, -23, 6, 0, -16, 12, 18, 12, 4, -24, -6, 0, -1, 10, 16, 14, 0, 10, 8, 28, 6, 10, 0, -24, 0, -32, 2, 2, 4, 18, 8, -8, 4, 0, -18, -12, 0, 18, -28, 4, 0, 18, -4, -20, 0, 24, -24, 0, 1, 2, 0, -22, 6, 48, -2, 0, 2, 2, 6, -12, -9, 32, 0, -6, -2, 30, 0, 0, -6, 8, 0, -24, 1, 22, 16, -4, 8, -11, 18, 4, 4, -24, -10, 0, 0, 2, -20, -6, 0, -30, -4, -44, -8, 0, 0, 72, -2, 1, 2, 0, 2, 0, -4, 32, 8, 20, 18, 20, 6, 18, 0, 0, -1, 30, 12, 4, 0, 4, 0, 24, -1, 0, -2, 32, 4, -18, 10, 0, 6, -2, 0, 48, 0, 14, 28, 0, -12, -16, 2, 0, 0, -20, 4, 0, 4, -26, 26, -1, -9, 6, 18, -8, 0, -12, 0, 12, -4, 6, -8, 10, -4, -12, 0, -44, -18, 0, 12, 4, 6, 0, 10, -18, 4, -6, 2, 8, 0, 0, -6, 72, 0, -38, 0, -8, -18, 0, 0, 0, 24, -24, 24, 0, 1, -16, 3, 2, -14, 6, -11, -28, -8, 1, 2, 0, -10, -22, -28, -9, 0, 0, -6, -52, -2, 8, 24, 24, -8, -6, -26, 12, 0, 48, 1, 40, 0, 24, -12, 8, -4, 2, -4, 0, 4, 18, 20, 40, -24, 0, 0, 0, -1, 2, 0, 18, 22, 42, 4, -8, 2, 8, 6, -24, -2, 0, 0, -6, 9, 2, 0, 4, 6, 0, 8, 72, 0, 20, -22, 6, -8, -30, -16, 0, -1, 18, -6, 0, 4, 0, 16, -6, -18, 54, -1, 4, 24, 16, 0, 4, 0, 16, -26, 8, 6, -18, 6, -20, 4, 0, 0, -12, 0, 38, -12, 2, 2, 0, 4, 0, 0, 8, 0, -24, 4, 7, 10, -18, -20, -9, 0, -44, -6, -28, 0, 0, 0, 46, -40, -4, -12, 18, 0, -4, -4, -24, 0, 24, 1, -18, -26, 0, -32, 0, 6, -8, -10, -2, 0, 4, 2, -2, 8, 6, 0, 54, -9, -4, 0, 0, -12, 0, -2, 80, -18, 0, 20, 0, -6, 24, -4, 0, -6, -48, 1, 0, 0, 16, -18, -14, 8, -44, 12, 18, -8, 48, 4, 0, -26, -10, -10, 0, 0, -16, 0, -20, 30, 0, 0, -2, 4, -4, -6, 6, -8, -36, 18, 0, 36, 0, -2, 26, 16, 2, 0, -18, 2, 0, 0, -4, 0, -36, 8, -4, 4, 18, 0, 6, 6, -24, 24, 0, -24, 24, -1, 33, 4, 12, -2, 22, 0, -4, 11, 0, 2, 24, -1, 16, -28, -2, 10, -42, 4, 0, 9, 10, -24, 24, 6, 6, 0, 0, -8, 0, 0, 16, 8, 28, 0, -8, -12, -26, -4, 2, -1, 0, 0, 0, -24, 4, 24, 24, 4, -2, -18, 26, 0, 54, -9, 24, -20, 18, 6, 48, 0, 14, 8, 0, 1, 6, -4, -16, -18, -8, 4, -24, -4, 50, 0, 0, -8, 0, -18, 56, 2, 12, 18, -24, 6, 0, -20, 10, 0, -18, 4, 52, 0, 2, 0, -20, 0, 32, 23, -6, -6, -42, 0, -28, 16, 0, -12, 0, -18, 14, -12, 0, -4, -12, 24, -4, 6, 24, 0, 24, 1, 0, -10, 3, -16, -32, -14, -52, 0, -11, -10, -48, -8, -50, -28, 2, -6, 6, -10, 8, 0, -28, 24, 0, 0, 0, 32, -6, -2, -6, -2, 0, -4, 24, -18, 20, -8, -2, 8, -26, -4, 0, 0, -52, 18, 1, 12, 0, 0, -26, -18, -12, 28, 0, -4, 12, 0, -4, -18, 0, 4, 16, 20, 20, 0, -10, -24, 16, 24, 0, 0, 24, -1, 22, -2, 0, 0, 36, 22, -40, -6, 4, -48, -12, 2, 18, 0, 6, -2, 0, -2, -28, -6, 0, 12, 0, 9, 0, -32, 0, 0, -30, 6, -36, 2, 8, -30, 36, 0, 36, 0, -22, 6, -6, -8, 24, 0, -16, 24, 0, -1, -50, -22, -6, -16, -2, 4, 0, -8, 16, 11, -72, -18, 46, -4, -1, -4, -30, 24, 0, 10, 0, 0, -24, 0, 9, -2, -26, 20, -18, 6, -8, 0, 6, 30, -8, 4, -22, 44, 0, 8, 0, 0, 0, 0, -12, -72, -24, 2, -46, -1, 4, -2, 96, 0, -24, -2, 0, 0, 0, 4, -4, -32, 10, -8, 0, -20, -56, -18, 0, -20, -48, -6, 16, -18, 0, 0, -30, 0, -40, 1, -40, -30, -12, -12, -18, -4, 0, 0, 30, -4, -28, 0, 0, -24, -8, 1, 22, 0, -26, 2, 42, -32, -44, -4, 6, 18, 60, -10, 0, 0, 0, -6, 36, 2, 0, 0, 8, -48, 48, 0, -26, -14, -9, -28, -6, 0, 20, 12, -12, 16, 0, -2, 32, 0, -18, 0, -96, 20, -8, -4, -6, 0, 0, -4, 6, 26, -6, -26, 0, 1, 88, 9, 0, -6, -16, -18, 0, 8, 8, 0, -6, 12, 0, 0, -8, -12, -24, 4, -33, -6, -26, 8, 66, -10, 0, 4, 0, 12, 24, 0, -10, 44, 30, 18, -2, 0, 8, -12, 4, -4, 24, -6, -32, 0, -8, -10, 0, 18, 40, -4, 36, 6, 0, -2, 18, -8, 16, 0, -30, 0, 0, 6, 2, -72, 28, 0, 20, 38, 0, 0, 54, 8, 52, 18, 4, 0, 12, 0, -58, 0, 6, -24, -6, 24, 24, -24, -24, 0, 0, -1, 0, 16, 4, -3, 0, -2, 20, 14, 0, -6, -48, 11, 2, 28, 2, 8, 0, -1, -20, -2, -28, 0, 0, 10, -6, 22, 4, 28, 36, 9, -16, 0, -24, 0, 0, 6, -80, 52, 0, 2, 18, -8, -28, -24, 0, -24, -24, 8, -50, 6, 0, 26, 54, -12, 0, 0, -4, -48, -48, -1, 32, -40, 0, 0, -16, -24, 0, 12, 24, -8, -48, 4, 0, -2, -18, 4, -12, 0, -72, -4, -9, -18, -36, -20, 10, -40, 6, 24, 0, 0, 20, 0, 8, 0, 20, 1, -36, -2, -4, 0, 0, -18, 68, -22, 4, -42, 0, -4, 38, 8, 0, -2, -6, -8, 0, -6, -18, 24, 48, 2, 80, 0, 18, 0, -2, 6, -68, -9, -20, -2, -24, 0, -22, -4, 4, -6, -48, 0, -28, -8, 0, -72, -24, 0, -18, -20, 23, 22, 48, -6, 8, 8, 0, 30, 0, 16, -22, 0, -12, 1, -66, -18, -40, 6, -12, 0, -48, -4, -26, 0, 24, -16, 66, 6, 0, 18, 0, -54, -48, 1, 34, -4, -10, -24, 2, -16, 28, 0, -14, -4, 72, 0, 0, -16, -10, 26, -42, -8, 0, -6, -28, 18, 48, -6, 0, 20, -10, -4, 0, 0, 40, 0, 24, 12, -28, 0, 2, -38, 32, 12, 0, -2, -20, -2, -2, 0, -12, -4, 58, 0, -18, 0, 96, -8, -4, 0, 8, 24, 0, -4, -5, -7, 0, -10, -26, 18, -8, 20, 12, 9, -72, 0, -26, 44, -18, 6, 18, 28, 44, 0, -4, 0, 0, 0, 0, -46, -18, 40, -30, 4, 0, 12, 20, -18, 8, 0, 0, 4, -24, 4, 42, 24, 76, 0, 0, -24, 0, -1, -32, 18, -2, 26, -6, 0, -12, 32, 22, 0, 0, -6, 34, 8, -48, 10, -10, 2, 20, 0, 0, -4, 0, -2, -46, 2, -2, -8, -96, -6, -40, 0, 12, -54, -24, 9, 6, 4, -32, 0, 60, 0, 0, 12, 6, 0, 0, 2, 26, -80, -30, 18, 12, 0, -52, -20, 0, 0, -36, 6, 38, -24, -8, 4, 0, 0, -24, 6, 24, 48, -72, -1, -22, 0, -22, 0, -3, -16, 8, 18, 4, 14, 0, -8, -18, 44, 11, -12, 0, -18, 0, 8, -4, -48, 72, -4, -2, 0, 24, 26, 0, 10, 40, 10, 0, 0, 28, 0, 0, 16, -2, 0, 0, 20, 8, -30, 6, 0, 72, 0, -27, 2, 30, -4, 0, 4, -24, 6, 44, -6, 0, 8, -10, 36, 0, -18, 26, 0, 4, -36, -72, 0, 24, 2, 46, -26, -1, -16, -42, -2, 8, 0, 0, 18, 24, -2, 12, 0, 0, 0, 66, 4, -80, 0, -32, 36, 4, -8, -64, 4, -20, -4, 30, -18, 0, 0, -20, -6, -60, -6, 0, 24, -18, -24, -66, 0, 0, 24, 0, -24, -72, 1, 0, -33, -30, -4, 0, -12, 0, 2, -4, -22, 0, 0, -26, 4, -4, -11, -12, 0, -8, -2, -24, -24, -24, 1, -6, -16, 0, 28, -18, 2, 56, -10, -32, 42, 0, -4, 16, 0, 18, -9, 12, -10, 16, 24, 0, -24, 72, -6, 0, -6, 2, 0, 42, 0, -8, 8, -48, 0, 0, 0, 112, -16, -14, -8, 22, -28, -28, 0, 0, 8, 0, 12, 50, 26, 16, 4, -78, -2, -80, 1, 0, 0, -12, 0, 6, 0, 20, 24, 54, -4, -68, -24, 0, -24, -16, -4, 46, 2, 26, 18, 0, -26, 0, 0, 1, -54, -12, 9, -14, -24, -6, 20, -48, -18, 0, -6, 8, -48, 48, 0, 4, -14, 12, -8, 26, 0, 0, -1, -12, -6, -24, 4, 74, 16, -6, 18, 0, 8, 0, -4, -10, 24, -72, 4, 0, -50, 12, 0, -66, 0, -40, 8, 44, 0, 12, 18, 32, -56, 0, -2, 54, -12, -28, -18, -4, 24, -72, -6, 26, 0, 0, 20, 0, -10, 0, 0, 18, 18, -72, -4, 0, -52, 6, 0, -10, -2, -36, 0, -8, 20, -24, 0, 70, -32, 0, -23, -12, 6, 8, 6, -72, 42, 0, 0, 0, 28, 38, -16, -30, 0, -44, 12, 8, 0, 40, 18, -2, -14, 0, 12, -54, 0, -4, 4, 0, 12, -72, -24, 80, 4, 24, -6, 66, -24, 0, 0, 0, -24, 0, -1, 2, 0, 16, 10, 26, -3, 0, 16, -2, 32, 0, 14, -36, 52, -6, 0, 0, 11, -20, 10, 28, 48, 0, 8, 0, 50, -1, 28, 0, -2, -8, 6, 0, -6, -8, 10, -44, -8, 22, 0, 0, 28, -44, -24, 9, 0, -48, 0, -47, 0, 0, -32, 6, 6, 12, 2, 52, 6, -72, 2, -62, 0, -8, 4, 18, -24, 0, 18, -24, -20, 0, 8, 0, 2, 6, -8, -66, 26, 88, 4, -12, 0, 60, 0, 6, 52, -48, -18, -36, -1, 52, -12, -40, 0, 0, 0, -20, 26, -24, 18, 0, 12, 16, -28, -8, 0, -36, 4, -34, -12, -2, 0, 42, 4, 8, 18, 0, 0, 24, -4, -74, -16, -18, -20, 26, -20, 20, 0, -40, 10, -48, 24, 74, -16, 0, -24, 78, 0, 44, 0, 0, -24, 0, 1, -30, -22, -2, 2, 78, 0, -40, 0, -18, -36, -4, -22, -112, 40, -42, 6, 0, -4, 0, 48, 8, 12, 48, -2, 0, -18, -8, 0, 18, -6, -36, 2, 24, 0, -24, 2, -38, 28, 0, 6, -16, 0, -4, -12, 6, 0, 72, -9, -28, 0, -2, 32, -42, 0, -104, 0, -4, 30, 0, -6, 0, 36, 0, -2, 0, -8, 20, 30, -72, -36, -4, 0, 70, -36, -20, 0, 42, 22, 28, -6, -6, 6, 0, 8, 14, -24, 30, 0, -66, 16, 24, -24, 0, 0, -48, 1, -31, 50, -18, 22, -4, 6, 72, 16, 0, 2, 48, -4, -80, 0, 0, 8, 66, -16, 0, -11, 6, 72, -48, 18, -2, -46, -54, 4, -48, 1, 0, 4, -4, 30, 28, -24, 70, 0, -16, -10, -42, 0, -40, 0, -4, 24, 0, 0, 64, -9, -16, 2, 0, 26, 24, -20, -8, 18, 0, -6, 0, 8, 18, 0, 0, -6, 92, -30, 20, 8, 24, -4, -22, 22, 0, -44, 30, 0, 8, -8, 12, 0, -48, 0, 0, 0, -38, 0, 0, 12, 0, 72, -2, 24, 4, -2, 0, 46, 0, 1, 60, -4, -52, 2, 0, -96, 0, 0, 44, 24, -8, 2, -96, 0, -24, 0, 24, 0, 0, -4, -26, 4, -7, 32, 18, -10, -12, 8, 18, 0, -24, 20, 0, 56, 9, 18, 0, 0, -44, 20, 44, 48, 48, 6, -6, -16, 28, 18, -78, 0, -40, 0, 0, 30, -8, 0, 22, 40, -46, -1, 12, 40, 0, 30, 4, 12, 0, 12, 112, 18, -18, 4, -96, 0, -4, 0, 4, -30, -24, 4, 108, 28, 24, 0, 0, 0, -16, 24, -24, 8, -48, -1, -46, -22, 18, 0, -54, 26, 0, -2, 0, -42, -24, 32, -18, 44, 0, 4, 42, -6, 104, -18, 8, -60, 20, 10, 26, 0, 2, 0, -18, 0, -40, 6, -4, -36, 0, -2, 0, 0, 2, 0, 6, -8, 0, 48, -6, -48, 48, 0, -16, 26, -54, 14, -23, 9, -92, 28, 4, 6, 0, 0, 16, -20, 0, -12, 42, 12, -68, -16, 0, 0, 48, 2, 12, -32, -80, 0, 0, 18, 8, 0, 0, 96, 12, -20, -94, 8, 0, 4, 0, 6, -92, 0, -24, 0, -24, 4, -2, -6, 0, -26, 6, 6, 0, 26, 48, 0, -48, -1, 4, -88, 0, -9, 10, 0, -52, 6, -16, 16, 24, 18, 22, 0, 14, -8, 0, -8, 32, 0, 44, 6, -24, -12, 10, 0, -18, 0, 42, 8, -20, 12, -48, 24, 28, -4, 0, 33, 0, 6, -54, 26, -40, -8, 10, -66, -24, 10, -14, 0, 0, -4, 30, 0, -24, -12, 16, -24, -144, 0, 0, 10, 20, -44, -32, -30, -28, -18, 0, 2, 0, 0, 0, -8, 2, 12, -54, -4, 88, 4, 4, -24, 0, 6, 18, 32, -6, 0, -30, 8, 16, 10, 36, 0, -8, -18, 74, -40, 0, 4, -6, -36, -4, -6, 0, 0, 24, 2, -17, -18, -26, 8, -12, -16, -12, 0, -2, 30, 48, 0, -64, 0, 18, -6, 18, -2, 0, 72, 0, -28, 24, 0, -2, -20, 4, -38, -54, 0, 0, 0, 36, -54, -60, -8, 18, -52, 4, -18, 0, -4, -44, 0, -18, -12, -20, 0, 2, 58, -6, 0, 6, -6, 104, 24, 24, 6, 0, -24, -32, -24, 0, 24, 0, 24, 0, 0, -24, 0, 96, 1, 16, 0, -33, -16, 2, -4, -92, 3, -12, 0, 0, 2, 0, -20, -22, -14, -78, 0, 40, 6, 4, 48, 96, -11, 48, -2, 0, -28, -78, -2, 0, -8, -24, 0, 0, 1, -26, 20, -16, 2, 0, 28, 16, 0, 2, 0, 48, -10, 108, 6, 42, -22, 0, -4, -12, -28, 0, -36, -72, -9, 0, 16, -10, 0, 32, 24, -40, 0, -24, 0, 24, -6, -2, 80, -6, -52, -78, 0, 0, -2, 0, -18, 84, 8, 30, 28, 0, 24, 6, 0, 20, 24, -16, 24, 0, -8, -20, 50, -28, -6, 0, 0, -8, -26, 8, -54, -24, 12, 90, 0, 26, 0, -12, 4, -24, 48, -2, 48, 24, 1, -22, -32, 0, 40, 22, 0, 16, 0, 0, 16, 24, 24, 0, 0, -4, -12, 0, -24, 4, 8, -24, 48, -72, -4, -11, 0, 2, 2, 36, 18, 104, -4, -26, 12, 4, 0, 22, 72, -54, 4, -78, 9, 0, 18, -24, 36, 0, 20, -26, -10, -18, 40, 0, -6, 0, -24, -48, 0, 0, 0, -34, -20, -14, 0, 2, -8, 28, 0, 0, -20, -24, -1, -32, 36, -6, 2, 0, 4, -16, 0, 16, 0, 36, 18, -30, -68, 8, 22, -42, -4, 0, 42, 24, 0, -44, 4, -16, -38, -50, -8, 48, 0, 72, 2, 0, 6, 48, 8, 86, 0, 0, 6, 0, 18, 72, -24, -56, -48, 72, -2, -2, -80, -12, 0, 1, -18, 0, 0, 24, 2, -144, -6, -4, 68, 0, 9, 102, 20, 8, 2, -10, 24, 24, 0, 0, 22, 18, 4, 0, -4, 0, 6, -52, 48, 32, 0, 0, 28, -2, 8, 60, 0, -52, 72, 20, 24, 72, 0, 46, 18, -32, 20, 0, -23, 20, -22, 6, -48, 0, 6, 14, -8, 42, -8, 18, 0, -52, -30, 28, 0, -96, -16, 32, 22, 0, 0, 0, 12, 104, -1, 0, 66, 12, 18, 30, 40, -14, -6, 66, 12, 36, 0, 0, 48, 4, 4, -22, 26, 12, 0, 90, -24, 0, 16, 4, -66, -120, -6, -10, 0, -24, -18, -60, 0, 24, 54, -24, 48, -48, -1, -16, -34, 0, 4, 0, 10, 0, 24, -3, -2, -96, 16, 22, -28, 32, 0, 90, 14, 76, 4, 52, -72, -48, 0, -18, 0, 11, 16, -144, 10, 16, -26, 48, 42, 0, 8, 108, 0, 50, 6, 0, 28, -36, -18, -2, -48, 72, 6, 0, 0, -6, -20, -36, 10, 48, 4, -8, 0, -24, 0, -38, -40, 28, 0, 14, -24, -100, -12, 0, 28, 0, 0, 26, -2, 0, 38, -96, -32, 80, -12, 6, 0, -36, 2, -16, 20, 6, 2, 30, 2, -4, 0, 0, 12, 0, 4, 0, -58, -24, 0, -36, 18, 76, 0, -20, -96, -12, 8, 0, 4, 2, 0, 96, -8, 0, -24, 26, 0, -96, 4, -98, 5, 0, 7, -26, 0, -16, 10, 52, 26, -72, -18, -26, 8, -1, -20, 0, -12, -80, -9, 0, 72, 0, 0, 6, 26, 26, -44, 78, 18, 56, -6, 12, -18, -8, -28, 32, -44, 0, 0, -96, 4, 72, 0, -12, 0, 48, 0, 112, 0, 4, 46, 42, 18, 12, -40, 0, 30, 0, -4, 0, 0, -16, -12, 6, -20, 0, 18, -20, -8, 0, 0, 74, 0, 10, -4, 96, 24, 56, -4, -16, -42, 0, -24, -12, -76, 0, 0, 90, 0, 0, 24, -24, 0, -44, 1, -2, 32, -22, -18, -18, 2, -68, -26, 0, 6, 12, 0, 62, 12, -36, -32, 0, -22, 4, 0, 40, 0, 0, 6, -59, -34, -4, -8, 0, 48, 0, -10, 12, 10, 48, -2, 16, -20, -18, 0, 12, 0, 28, 4, -6, 0, -144, 2, -6, 46, 0, -2, -66, 2, 80, 8, 28, 96, 8, 6, 26, 40, 0, 0, -96, -12, -32, 54, 0, 24, -48, -9, -74, -6, 0, -4, -18, 32, 72, 0, 0, -60, 0, 0, -14, 0, 30, -12, -38, -6, 28, 0, 36, 0, 24, -2, 0, -26, -8, 80, 90, 30, -56, -18, -36, -12, -24, 0, 0, 52, -36, 20, -48, 0, -76, 0, 22, 36, 0, -6, -18, -38, 6, 24, 102, 8, 20, -4, -24, 0, 0, 0, 4, 24, 16, -6, 18, -24, 0, -48, 0, 72, 0, 1, -4, 22, 50, 0, -16, 22, -44, 0, 6, 3, 0, 16, -94, -8, 2, -18, -42, -4, 0, -14, 0, 0, 48, 8, 6, 18, -16, -44, 96, -11, 112, 12, 72, 0, -28, 18, 50, 0, -46, -8, 0, 4, 52, 48, 1, -72, -72, 4, 108, 2, 30, 0, 36, -24, 0, -26, 0, 0, 24, -10, 80, -40, 0, -10, -22, 0, -88, 0, 24, -28, -24, 0, -22], "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": "30.2.a.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], [-1], [1], [1], [1], [4], [-1], [1], [-1], [0], [-1], [2], [-4], [-1], [1], [0], [-1], [-4], [1], [-4], [0], [0], [1], [1], [-2], [-1], [4], [6], [1], [-8], [-1], [0], [0], [4], [1], [-2], [4], [-2], [-1], [6], [4], [-4], [0], [1], [0], [0], [-1], [9], [-1], [0], [2], [-6], [1], [0], [-4], [4], [-6], [0], [-1], [10], [8], [4], [1], [2], [0], [-4], [0], [0], [-4], [0], [-1], [-2], [2], [-1], [-4], [0], [2], [-8], [1], [1], [-6], [12], [-4], [0], [4], [-6], [0], [18], [-1], [8], [0], [8], [0], [-4], [1], [-2], [-9], [0], [1]]}