# Stored data for newform 3234.2.a.k, downloaded from the LMFDB on 23 April 2024.
{"label": "3234.2.a.k", "space_label": "3234.2.a", "level": 3234, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307262626, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 240379495403301201, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [0, 1]], [13, [-2, 1]], [17, [-4, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 12936, "fricke_eigenval": 1, "atkin_lehner_string": "+--+", "analytic_conductor": 25.823620013682078, "hecke_ring_index": 1, "level_radical": 462, "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": "0.019", "prec": 17}, "analytic_rank_proved": true, "char_values": [3234, 1, [1079, 199, 2059], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 7, 11], "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": "0.995", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.998", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.022", "prec": 17}], "related_objects": ["EllipticCurve/Q/3234/k"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [7, -1], [11, 1]], "trace_display": [-1, 1, 0, 0], "traces": [0, 1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, 1, 2, 0, 0, 1, 4, -1, -6, 0, 0, 1, -4, -1, -5, -2, 1, 0, -10, 0, -6, -1, -1, -4, 0, 1, -6, 6, 2, 0, 12, 0, -8, -1, 0, 4, -2, 1, 0, 5, 4, 2, 6, -1, 0, 0, -6, 10, 8, 0, -6, 6, 0, 1, 0, 1, -4, 4, -4, 0, 0, -1, 12, 6, -5, -6, 0, -2, 0, 0, 1, -12, -14, 0, 0, 8, -10, 1, -10, 0, 0, -4, -6, 2, 0, -1, -10, 0, -1, -5, 6, -4, -10, -2, 0, -6, 8, 1, 18, 0, -6, 0, -2, 6, 0, -10, 2, -8, 0, 0, 1, 6, 12, -6, 0, 0, -16, -1, -8, 0, -10, -1, 0, 4, 0, -4, -10, 4, 14, 0, -2, 0, -2, 1, 0, -12, 0, -6, 10, 5, -16, 6, 4, 0, 0, 2, -12, 0, 6, 0, 0, -1, 12, 12, 0, 14, -12, 0, -9, 0, -6, -8, 18, 10, 0, -1, 8, 10, 20, 0, 8, 0, -6, 4, 0, 6, -4, -2, 0, 0, -12, 1, -22, 10, 0, 0, 6, 1, -10, 5, -4, -6, 0, 4, 0, 10, -4, 2, 6, 0, -8, 6, 0, -8, 0, -1, 0, -18, 12, 0, 8, 6, 2, 0, -5, 2, 14, -6, -24, 0, 0, 10, -26, -2, 0, 8, 0, 0, -8, 0, 28, -1, 1, -6, 0, -12, -12, 6, -14, 0, -8, 0, 4, 16, 0, 1, 6, 8, 0, 0, -10, 10, 16, 1, 0, 0, -10, -4, -24, 0, 4, 4, 0, 10, 5, -4, -22, -14, -6, 0, 30, 2, -2, 0, 0, 2, 0, -1, -1, 0, -10, 12, -6, 0, 0, 6, -1, -10, -8, -5, 0, 16, 6, -6, 0, -4, 14, 0, -10, 0, 10, -2, -6, 12, 0, 0, -18, -6, 10, 0, 8, 0, -24, 1, -10, -12, 18, -12, 0, 0, -20, -14, -6, 12, 0, 0, 22, 9, -2, 0, 6, 6, 0, 8, 0, -18, 16, -10, -2, 0, 2, 1, -10, -8, 0, -10, 0, -20, 8, 0, 17, -8, 1, 0, 0, 6, 10, -4, 12, 0, 0, -6, 22, 4, 0, 2, -20, 0, -4, 0, -16, 12, 10, -1, 0, 22, -8, -10, 2, 0, -16, 0, -10, -6, 0, -1, 4, 10, 0, -5, -34, 4, -12, 6, 0, 0, 6, -4, -24, 0, -10, -10, 0, 4, 0, -2, 14, -6, -28, 0, 6, 8, -2, -6, -20, 0, 0, 8, -2, 0, 8, 1, 22, 0, 0, 18, 24, -12, -28, 0, 0, -8, 12, -6, 0, -2, 10, 0, -2, 5, -12, -2, -16, -14, 0, 6, -6, 24, 4, 0, 6, 0, 16, -10, 0, 26, -4, 2, 0, 0, -12, -8, 8, 0, 30, 0, 6, 8, 8, 0, -12, -28, 0, 1, 0, -1, -28, 6, 12, 0, 12, 12, -40, 12, 0, -6, 0, 14, 4, 0, -12, 8, 4, 0, 0, -4, -9, -16, 32, 0, 0, -1, -6, -6, 0, -8, 2, 0, 18, 0, 30, 10, 22, -10, 0, -16, -24, -1, -7, 0, 8, 0, 24, 10, 0, 4, 20, 24, 0, 0, -34, -4, 8, -4, 0, 0, 28, -10, -6, -5, 60, 4, 0, 22, 0, 14, 30, 6, -16, 0, -4, -30, 6, -2, 0, 2, 0, 0, -42, 0, -44, -2, -12, 0, 20, 1, -14, 1, -22, 0, 0, 10, -6, -12, 0, 6, 32, 0, 36, 0, 6, -6, 4, 1, 0, 10, -10, 8, -16, 5, 8, 0, -4, -16, 0, -6, -24, 6, 0, 0, -4, 4, 22, -14, 0, 0, 2, 10, -12, 0, -4, -10, 0, 2, 25, 6, 6, -12, -24, 0, -44, 0, -8, 18, 0, 6, 0, -10, 0, 0, -38, -8, 16, 0, 0, 24, 10, -1, -8, 10, 0, 12, -6, -18, 0, 12, 12, 0, -16, 0, 32, 20, 8, 14, 0, 6, 40, -12, 2, 0, 6, 0, -10, -22, -5, -9, -6, 2, 0, 0, 14, -6, -12, -6, 0, 0, -24, -8, 12, 0, 40, 18, 0, -16, 0, 10, 48, 2, -26, 0, 50, -2, 36, -1, 0, 10, 0, 8, -6, 0, 0, 10, 24, 0, 0, 20, -8, -8, -38, 0, 0, -17, 28, 8, 50, -1, 34, 0, 1, 0, -32, -6, -14, -10, 0, 4, 4, -12, 28, 0, -12, 0, 0, 6, 0, -22, -14, -4, 0, 0, 44, -2, -8, 20, 0, 0, 50, 4, 4, 0, 48, 16, 0, -12, 0, -10, 16, 1, 40, 0, 6, -22, 28, 8, 30, 10, 0, -2, -72, 0, 0, 16, -10, 0, 0, 10, -22, 6, 16, 0, 0, 1, -12, -4, 0, -10, -12, 0, -8, 5, -10, 34, -12, -4, 0, 12, -24, -6, -30, 0, -2, 0, 4, -6, 0, 4, 48, 24, 0, 0, 10, 10, 44, 10, 5, 0, -12, -4, -56, 0, -22, 2, 0, -14, 0, 6, -6, 28, -14, 0, 71, -6, 30, -8, 0, 2, 0, 6, -2, 20, 24, 0, 18, 0, 0, -8, 0, 2, -8, 0, 0, -8, 12, -1, 0, -22, -1, 0, 0, 0, -8, -18, -10, -24, 0, 12, 50, 28, -6, 0, 18, 0, -28, 8, 0, -12, -8, 6, 0, 0, -1, 2, 12, -10, 0, 0, -8, 2, 60, -5, 24, 12, 0, 2, 0, 16, -44, 14, 6, 0, -12, -6, 14, 6, 0, -24, 0, -4, 24, 0, 14, -6, 0, 0, 30, -16, -10, 10, -42, 0, 0, -26, 10, 4, 0, -2, 4, 0, -6, 0, -6, 12, -48, 8, 0, -8, 12, 0, 24, -30, -18, 0, 50, -6, 0, -8, 10, -8, 0, 0, 5, 12, 8, 28, 0, 0, -56, -1, -24, 0, 36, 1, 0, 28, -10, -6, 18, -12, 10, 0, 18, -12, 14, -12, 0, 40, 0, -12, 32, 0, -48, 6, -20, 0, 0, -14, -10, -4, -6, 0, 0, 12, 32, -8, 0, -4, -36, 0, 42, 0, 22, 4, 0, 9, 0, 16, -2, -32, 0, 0, 52, 0, 6, 1, -60, 6, 0, 6, 0, 0, 32, 8, 54, -2, 0, 0, -24, -18, -26, 0, 16, -30, 0, -10, 0, -22, -2, 10, 18, 0, -20, 16, 2, 24, 0, 1, 0, 7, -10, 0, -30, -8, -20, 0, 0, -24, 10, -10, -10, 0, 0, -4, 60, -20, 40, -24, 8, 0, -28, 0, 8, 34, 17, 4, 0, -8, 32, 4, 1, 0, -58, 0, -14, -28, 0, 10, 64, 6, 0, 5, 10, -60, -24, -4, 0, 0, 12, -22, -24, 0, -6, -14, 0, -30, 0, -6, -18, 16, 22, 0, -48, 4, 28, 30, 0, -6, 0, 2, -2, 0, -20, -2, 10, 0, 0, 0, -4, 42, -16, 0, 0, 44, -16, 2, 0, 12, 36, 0, 10, -20, -60, -1, 26, 14, 0, -1, -20, 22, 36, 0, -8, 0, -8, -10, 0, 6, 2, 12, 0, 0, -52, -6, -16, -32, 10, 0, -8, -36, -10, 0, -60, -6, 0, 6, 0, -4, 60, -1, -120, 0, 4, -10, 6, 10, 0, -8, 0, 16, -18, -5, -58, -8, -34, 0, 0, 4, 0, 16, -12, 0, 0, 6, 2, 24, 0, -6, -36, 0, -24, 0, 6, 4, -36, -4, 0, -22, -24, 14, -14, 0, 28, 0, -10, -2, 0, -10, 52, 12, 0, 0, 48, 4, 2, 10, 0, 0, 80, -2, 44, -25, 14, -6, 0, -6, 0, 12, -28, 24, 44, 0, -20, 44, 6, 0, 0, 8, 0, -18, -2, 0, -72, -6, 24, 0, -20, 10, -48, 0, 22, 0, 0, 38, -4, 8, 0, -16, -2, 0, -46, 0, 60, -24, 8, -10, 0, 1, -18, 8, 22, -10, 28, 0, 24, -12, 0, 6, 24, 18, 0, 0, 24, -12, 12, -12, 0, 0, -28, 16, 44, 0, -6, -32, 0, -20, -30, -8, -48, -14, 12, 0, -1, -6, 48, -40, 0, 12, 0, -2, -20, 0, 10, -6, 0, 0, 0, 10, -2, 22, 0, 5, 0, 9, -12, 6, 0, -2, -32, 0, -16, 0, -56, -14, 20, 6, 0, 12, -24, 6, -1, 0, -6, 0, -14, 24, 0, 8, 4, -12, 0, 0, -18, -40, 6, -18, 0, 0, -72, 16, 16, 0, 16, -10, 0, -48, 0, -2, 16, 26, -20, 0, -4, -50, 24, 2, 0, -36, 0, 1, -26, 0, -56, -10, -12, 0, 0, -8, 36, 6, 8, 0, 0, 0, 56, -10, 30, -24, -66, 0, -54, 0, 6, -20, -22, 8, 0, 8, 8, 38, -72, 0, 10, 0, -12, 17, 0, -28, 36, -8, 0, -50, 64, 1, -54, -34, 0, 0, 12, -1, 42, 0, -28, 32, 0, 6, 0, 14, 12, 10, -4, 0, 16, -4, 12, -4, -40, 12, 0, -28, -40, 0, -22, 12, -28, 0, 0, 0, 4, -6, 54, 0, 0, 22, 42, 14, 0, 4, 4, 0, 60, 0, 0, -44, -12, 2, 0, 8, 10, -20, 4, 0, 70, 0, -40, -50, 0, -4, -72, -4, 0, 0, -9, -48, -4, -16, 30, 0, 32, 12, -14, 0, -62, 10, 0, -16, 0, -1, -60, -40, -6, 0, 16, -6, -74, 22, 0, -28, 0, -8, -74, -30, 2, -10, 48, 0, 0, 2, 18, 72, -12, 0, 0, 0, 30, -16, 0, 10, -74, 0, 22, 0, 24, -10, 2, 22, 0, -6, 84, -16, -20, 0, -24, 0, -64, -1, 0, 12, -7, 4, 0, 0, 48, 10, 8, 12, 0, 0, 30, 8, 24, -5, 20, 10, 0, -34, 0, 12, -72, 4, 22, 0, 20, -12, 18, 24, 0, 6, 0, 30, 24, 0, 42, 2, -34, 0, 0, -4, 46, 6, 8, 0, 0, -4, 0, -48, 0, -24, -48, 0, -10, 0, 28, -10, -36, -10, 0, -44, -6, -10, -40, -5, -32, 0, 60, 12, 0, 4, 20, 56, 0, 0, 16, 22, -32, -2, 0, 0, -20, 14, 58, 0, 30, -6, 0, 6, 20, -28, -16, 14, -48, 0, 103, -71, -4, 6, 0, -30, 0, 8, 6, 0, 60, -2, 30, 0, 0, -6, 2, 2, -56, -20, 0, -24, -20, 0, 0, -18, -42, 0, -50, 0, -80, 8, -44, 0, 0, -2, 24, 8, -12, 0, -46, 0, -44, 8, 20, -12, 12, 1, 0, 0, -14, 22, -58, 1, 0, 0, -22, 0, 12, 0, 60, 8, 0, 18, 0, 10, 28, 24, -6, 0, -40, -12, 34, -50, 0, -28, 0, 6, 24, 0, 32, -18, -96, 0, 0, 28, 36, -8, 60, 0, 0, 12, 6, 8, 0, -6, -12, 0, 4, 0, -20, 1, -62, -2, 0, -12, 52, 10, 62, 0, -10, 0, -12, 8, 0, -2, -16, -60, 0, 5, 2, -24, 8, -12, 0, 0, 28, -2, -4, 0, -30, -16, 0, 44, 0, -14, 0, -6, 32, 0, -24, 12, -24, 6, -60, -14, 0, -6, -48, 0, -56, 24, -4, 0, 0, 4, 12, -24, 22, 0, 0, -14, 60, 6, 0, 0, -72, 0, 21, -30, 2, 16, 72, 10, 0, -10, -12, 42, 9, 0, 6, 0, -4, 26, 0, -10, -62, -4, 0, 0, 68, 2, 38, -4, 25, 0, 2, 6, -10, 0, 6, 6, 0, -12, 0, 48, -24, -8, 32, 0, 36, 8, -44, -12, 0, 0, 0, -24, -8, 30, 30, 18, -18, 0, 0, -50, -12, 6, 56, 0, 0, 8, 30, -10, 0, 8, 0, 0, -36, 0, -8, -5, -38, -12, 0, -8, -24, -28, 16, 0, 42, 0, -14, 56, 0, 1, 20, 24, 0, 0, 10, -36, 40, -1, 0, 0, -8, -28, 54, 10, -18, 6, 0, -18, 0, 12, 60, -10, -6, 0, -36, -18, -32, 12, 0, -14, 0, 12, -20, 0, 12, -40, 48, 0, 0, 12, -16, -32, -42, 0, 0, 48, 32, -6, 0, 20, 78, 0, 8, 0, -8, 14, -56, 10, 0, 4, -78, 6, -24, 0, 40, 0, -60, -12, 0, -32, 2, 8, 0, 0, -20, 4, 6, 36, 0, 0, -2, -42, -10, 0, 16, -22, 0, -4, -5, 0, -36, -9, -16, 0, -6, -16, -48, 2, 0, 32, 0, 0, 0, 0, -24, -52, 14, 0, 0, -6, 40, -1, -12, 60, 0, -6, -38, 0, 0, -6, 4, 0, 0, 0, -24, -32, -16, -8, 0, -54, 12, 2, -78, 0, -108, 0, 40, 24, 70, 18, 24, 26, 0, 0, -18, -16, 68, 30, 0, 0, -48, 10, 52, 0, 48, 22, 0, 2, 0, -10, -26, -18, 56, 0, 12, 20, 50, -16, 0, -2, 0, -24, 36, 0, 32, -1, -46, 0, 0, -7, -120, 10, 24, 0, 0, 30, 22, 8, 0, 20, -6, 0, 46, 0, 18, 24, 0, -10, 0, 10, 26, 10, 24, 0, -86, 0, 44, 4, 0, -60, 12, 20, 0, -40, -8, 24, 66, -8, 0, 0, -38, 28, -64, 0, -22, -8, 0, -34, 0, -17, -6, -4, 28, 0, -24, 8, 72, -32, 50, -4, 0, -1, -4, 0, 34, 58, -48, 0, 0, 14, 1, 28, 10, 0, 0, -10, -32, -64, 0, -6, -44, 0, -14, -5, 0, -10, -36, 60, 0, 24, -48, 4, -43, 0, 4, 0, -54, -12, 0, 22, 28, 24, 0, 0, 14, 6, -12, 14, 50, 0, -40, 30, 0, 0, 40, 6, 0, 18, 0, -16, -22, -22, -68, 0, -14, 48, 22, -4, 0, -28, 0, -30, 36, 0, 68, 6, 44, 0, 0, -2, 36, 2, -8, 0, 0, 20, -72, 2, 0, -10, 68, 0, -38, 0, 50, 0, 64, 4, 0, -42, 4, 16, -48, 0, 14, 0, 48, -44, 0, 16, -72, -2, 0, 0, 0, -12, 38, -36, 0, 0, 2, -10, -6, 20, 16, 60, 0, 1, 0, -26, 40, -14, 26, 0, 92, 1, 6, 20, 0, -22, 0, -36, 28, 0, 8, 8, -24, 0, 30, 8, 40, 10, -40, 0, 0, -6, 66, -2, 0, -12, -72, 0, -28, 0, 32, 52, 0, 6, 0, 16, -28, 32, -10, -10, 64, 0, 16, 8, 0, 36, 4, 10, 0, 0, -22, 60, 56, 6, 0, 0, 16, -6, 40, 0, -50, 4, 0, -60, 0, 1, 22, 120, -12, 0, -10, -4, -72, 10, 0, -6, 0, -10, 34, 0, -12, 8, 72, 0, 0, -16, -8, 18, 30, 5, 0, 58, -10, 8, 0, 34, 140, 0, -12, 0, -58, -4, 96, 0, 0, -16, -14, 12, 96, 0, -24, 0, 56, -6, 50, -2, -30, -24, 0, 0, -8, 6, -2, 36, 0, 0, -46, 24, 4, 0, -32, -6, 0, -4, 0, 36, -8, 4, 0, 0, 48, 22, -2, 24, 0, -14, 0, 14, -36, 0, -32, -28, 10, 0, 0, 10, -4, 2, 44, 0, 0, 10, 50, -52, 5, -12, 58, 0, 24, 0, -12, -48, -24, -4, 0, -2, -56, -10, 60, 0, -12, 0, -22, -80, 0, 2, -14, -44, 0, 25, -72, -14, -16, 6, 0, 0, -72, 6, -44, 0, -6, -12, 0, 28, 0, -24, -14, -44, 24, 0, -14, 20, 71, -44, -30, -6, 0, 0, 30, 0, -84, -8, 40, 0, 0, 18, -64, 2, 52, 0, 0, 72, 0, 6, 0, -24, -2, 0, -10, 20, -40, -10, 24, 48, 0, 0, -2, -22, 18, 0, 12, 0, 26, -38, 0, 4, -64, -8, 0, 0, 0, 16, 84, 2, 50, 0, -8, 46, -84, 0, 100, -60, 0, 24, 0, -8, -20, 10, 12, 0, 8, -1, 8, 18, 0, -8, 0, -22, 8, 10, -1, -28, 60, 0, 0, -24, 0, 12, -36, 0, 0, -6, -8, -24, 0, -18, -68, 0, -10, 0, -44, -24, 48, 12, 0, -12, 0, 12, 8, 0, 50, 0, 26, 28, 0, -16, -6, -44, 0, 0, -84, 6, 18, 32, 0, 0, -16, 20, -28, 30, -28, 8, 0, 48, 0, 14, 58, -12, 70, 0, -8, 1, 90, 6, 0, -48, 0, 40, -48, 0, -4, -12, -1, 0, -40, 2, 40, 20, 12, 0, 0, -10, -8, 6, 0, 0, -66, 0, 26, 0, -8, -10, -68, 2, 0, -22, 60, 0, -44, -5, -72, 0, 24, -9, 0, 12, -80, -6, 0, 0, -40, 2, -50, 32, 0, 0, 12, 16, -40, 0, -44, 56, 0, 14, -90, -20, 6, -6, -54, 0, 12, -12, -12, 24, 0, -6, 0, 1, 14, 0, -70, 6, -16, 0, 0, 14, -48, -24, -86, 0, 0, -8, 18, -4, 0, 12, 24, 0, 60, 0, 8, 18, 14, 40, 0, -6, -40, 18, 0, 0, 48, 0, -16, 72, 30, -16, 42, -16, 0, 0, -10, -16, -4, 10, 0, 0, -42, 48, -62, 0, 12, 2, 0, -16, 0, -26, 70, 20, 10, 0, -6, 4, -12, 50, 0, -24, 0, -2, -17, 0, 4, 36, 100, 0, 0, -1, -6, 26, -44, 0, 0, 56, -6, 10, 10, 12, -6, 0, -48, 0, -60, 8, -44, -36, 0, -6, 62, -8, -48, 0, 12, 0, 84, 0, 0, -56, 24, 10, 0, -30, 20, 24, -18, 66, 0, 0, 94, 54, 50, 0, 36, -6, 0, 20, 0, 22, 12, -8, 96, 0, 10, -8, -36, -8, 0, -38, 0, 72, -8, 0, 32, -10, 5, 0, 0, 12, 26, -17, 8, 0, 0, 28, -16, -36, 0, 8, 18, 0, 4, 50, -56, -64, 88, -1, 0, 54, -24, 34, -102, 0, 0, 0, 36, -12, 0, 1, 50, -42, 0, 0, 64, 28, 0, -32, -10, 0, -32, -6, -60, 0, 18, -14, 0, -12, 0, -10, 10, 4, -30, 0, 72, -16, 18, 4, 0, -12, 0, 4, 14, 40, 28, -12, -30, 0, 0, 28, -52, 40, 24, 0, 0, 22, 60, -12, 0, 28, 32, 0, 38, 0, -20, 0, -48, -4, 0, 6, -48, -54, -20, 0, -4, 0, 72, -22, 0, -42, 100, -14, 0, 0, -10, -4, 144, -4, 0, 0, -6, -60, 40, 0], "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": "462.2.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], [-1], [1], [1], [0], [-1], [0], [-1], [1], [0], [-1], [1], [2], [0], [0], [1], [4], [-1], [-6], [0], [0], [1], [-4], [-1], [-5], [-2], [1], [0], [-10], [0], [-6], [-1], [-1], [-4], [0], [1], [-6], [6], [2], [0], [12], [0], [-8], [-1], [0], [4], [-2], [1], [0], [5], [4], [2], [6], [-1], [0], [0], [-6], [10], [8], [0], [-6], [6], [0], [1], [0], [1], [-4], [4], [-4], [0], [0], [-1], [12], [6], [-5], [-6], [0], [-2], [0], [0], [1], [-12], [-14], [0], [0], [8], [-10], [1], [-10], [0], [0], [-4], [-6], [2], [0], [-1], [-10], [0], [-1], [-5]]}