# Stored data for newform 2070.2.a.b, downloaded from the LMFDB on 24 April 2024.
{"label": "2070.2.a.b", "space_label": "2070.2.a", "level": 2070, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660926998, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1252474427564461989, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [0, 1]], [11, [4, 1]], [13, [2, 1]], [17, [-6, 1]], [29, [-2, 1]]], "qexp_display": "q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}-4q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8280, "fricke_eigenval": 1, "atkin_lehner_string": "+-+-", "analytic_conductor": 16.52903321840504, "hecke_ring_index": 1, "level_radical": 690, "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": "0.021", "prec": 17}, "analytic_rank_proved": true, "char_values": [2070, 1, [461, 1657, 1891], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 23], "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": "1.051", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.138", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.343", "prec": 17}], "related_objects": ["EllipticCurve/Q/2070/b"], "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], [23, -1]], "trace_display": [-1, 0, -1, 0], "traces": [0, 1, -1, 0, 1, -1, 0, 0, -1, 0, 1, -4, 0, -2, 0, 0, 1, 6, 0, 4, -1, 0, 4, 1, 0, 1, 2, 0, 0, 2, 0, 0, -1, 0, -6, 0, 0, -2, -4, 0, 1, -10, 0, -4, -4, 0, -1, 0, 0, -7, -1, 0, -2, -6, 0, 4, 0, 0, -2, 4, 0, -10, 0, 0, 1, 2, 0, -12, 6, 0, 0, 8, 0, 10, 2, 0, 4, 0, 0, -8, -1, 0, 10, 4, 0, -6, 4, 0, 4, -18, 0, 0, 1, 0, 0, -4, 0, 2, 7, 0, 1, -6, 0, 0, 2, 0, 6, 12, 0, -10, -4, 0, 0, 6, 0, -1, 2, 0, -4, 0, 0, 5, 10, 0, 0, -1, 0, -16, -1, 0, -2, -20, 0, 0, 12, 0, -6, -2, 0, -20, 0, 0, -8, 8, 0, -2, -10, 0, -2, 10, 0, 8, -4, 0, 0, 0, 0, -10, 8, 0, 1, 0, 0, 20, -10, 0, -4, -8, 0, -9, 6, 0, -4, -14, 0, 0, -4, 0, 18, -4, 0, -2, 0, 0, -1, 2, 0, -24, 0, 0, 4, 0, 0, 2, -2, 0, -7, -6, 0, -16, -1, 0, 6, 0, 0, 10, 0, 0, -2, -16, 0, 4, -6, 0, -12, 4, 0, 0, 10, 0, 4, -12, 0, 16, 0, 0, -6, 20, 0, 14, 1, 0, -2, 6, 0, 0, 4, 0, 0, -16, 0, 18, -5, 0, -10, 7, 0, -8, 0, 0, 1, -20, 0, -4, 16, 0, 1, 14, 0, 0, 2, 0, 20, 24, 0, 6, 0, 0, -12, -14, 0, 0, 6, 0, 2, -4, 0, -10, 20, 0, 0, -18, 0, -4, 8, 0, -8, 0, 0, 19, 2, 0, 10, -22, 0, -4, 2, 0, -10, -2, 0, 0, -8, 0, 4, 10, 0, 4, 0, 0, 0, -8, 0, 10, 10, 0, -8, -30, 0, -8, -1, 0, 0, 24, 0, -2, -20, 0, 10, 0, 0, 28, 4, 0, 8, 12, 0, 2, 9, 0, -6, 0, 0, 0, 4, 0, 14, -12, 0, 14, 0, 0, 4, -34, 0, -8, -18, 0, 4, -8, 0, -3, 2, 0, 0, -10, 0, -8, 1, 0, -2, 0, 0, -18, 24, 0, 0, -4, 0, 12, -4, 0, 0, 32, 0, 0, -2, 0, 2, -38, 0, 6, 7, 0, 6, 8, 0, -2, 16, 0, 1, -10, 0, 0, -6, 0, 0, 8, 0, 26, -10, 0, 0, 0, 0, -4, 2, 0, 16, -12, 0, -2, -4, 0, 6, 6, 0, 0, 12, 0, -4, 32, 0, 34, 0, 0, -10, 4, 0, -8, -4, 0, 12, 4, 0, 18, -16, 0, 0, 30, 0, 40, 6, 0, -20, 0, 0, 10, -14, 0, -1, 18, 0, 16, 2, 0, -6, -12, 0, 0, 0, 0, -4, 16, 0, 4, 0, 0, 16, -32, 0, 4, -18, 0, 5, -2, 0, 40, 10, 0, -7, 4, 0, 12, 8, 0, 0, 0, 0, 20, -1, 0, 20, 40, 0, 6, 4, 0, -16, 34, 0, 0, -1, 0, -14, 0, 0, 0, 0, 0, -2, 14, 0, -36, -20, 0, -24, 0, 0, 1, -6, 0, 0, 20, 0, -12, 12, 0, 14, 28, 0, 14, 0, 0, -6, 10, 0, 4, -2, 0, 4, 8, 0, 0, 10, 0, -20, -14, 0, 8, 0, 0, 18, 36, 0, -6, 4, 0, -8, -18, 0, -4, 8, 0, 0, 1, 0, 2, -19, 0, -2, 0, 0, 24, -10, 0, 22, -28, 0, 0, 4, 0, -2, 30, 0, 0, 10, 0, 2, 40, 0, -38, 0, 0, 8, -5, 0, -16, -4, 0, -10, 0, 0, -18, -4, 0, 0, -18, 0, -4, 0, 0, 8, 0, 0, 1, -10, 0, -10, -12, 0, 16, 8, 0, 30, 16, 0, 14, 8, 0, 1, -26, 0, 20, 0, 0, -24, -8, 0, -16, 2, 0, 20, -14, 0, 20, -10, 0, 0, 20, 0, -50, -28, 0, -4, 0, 0, 2, -8, 0, -12, 40, 0, 2, -2, 0, -9, -38, 0, 0, 6, 0, 0, 36, 0, 2, 0, 0, -4, 12, 0, -28, -14, 0, 12, 20, 0, -60, -14, 0, 0, 50, 0, -8, -4, 0, 34, 0, 0, -34, 8, 0, 18, 0, 0, -8, -4, 0, 8, 32, 0, 0, 3, 0, -2, 2, 0, 16, 0, 0, 10, -24, 0, 6, 8, 0, -1, 48, 0, -12, 2, 0, 0, 24, 0, -10, 18, 0, -24, 0, 0, -40, 0, 0, 4, -8, 0, -18, -12, 0, 4, 22, 0, 0, 0, 0, -32, -8, 0, -14, 0, 0, 2, -54, 0, 0, -2, 0, 38, -40, 0, -32, -6, 0, -7, 10, 0, 4, -6, 0, -8, 0, 0, 20, 2, 0, -16, 34, 0, 0, -1, 0, 10, -40, 0, 0, 0, 0, 6, -26, 0, 28, 0, 0, -8, -20, 0, -16, -26, 0, 10, 42, 0, -40, 0, 0, 0, 12, 0, 46, 4, 0, -2, -42, 0, 8, -16, 0, 12, -24, 0, -25, 2, 0, 4, 9, 0, 0, -6, 0, -6, -2, 0, 6, 0, 0, -12, -42, 0, 44, 4, 0, -32, 32, 0, 14, -34, 0, 0, 32, 0, 24, 10, 0, -4, 0, 0, -50, 8, 0, 4, -10, 0, 20, -12, 0, -4, 24, 0, 0, -18, 0, 16, 0, 0, 4, 0, 0, -30, 0, 0, -36, -40, 0, -6, 2, 0, 44, 20, 0, 0, -32, 0, -16, -10, 0, 14, 0, 0, -32, 1, 0, -18, -16, 0, -2, -16, 0, -2, 30, 0, -28, 6, 0, 12, 24, 0, -22, 0, 0, 0, -14, 0, -10, 4, 0, -16, -4, 0, -20, -4, 0, 0, -2, 0, 0, -16, 0, 32, 0, 0, -31, -4, 0, 18, -2, 0, -24, -5, 0, 2, -52, 0, 0, -40, 0, -10, -42, 0, 72, 7, 0, -4, -24, 0, 6, -12, 0, -8, -4, 0, 0, 0, 0, 0, 16, 0, 38, -20, 0, 1, 0, 0, 24, -20, 0, -40, -24, 0, -46, -6, 0, -4, 10, 0, 0, 16, 0, -34, -20, 0, 46, 0, 0, 1, -10, 0, 16, 14, 0, 0, 8, 0, 26, 0, 0, 0, -60, 0, -32, 2, 0, -14, 0, 0, 16, 36, 0, 20, 30, 0, 44, 24, 0, 0, -4, 0, 0, -1, 0, 6, -38, 0, -32, 0, 0, -20, -8, 0, 54, 12, 0, -12, -4, 0, -4, -14, 0, -28, -8, 0, 0, -14, 0, 0, 0, 0, 0, 6, 0, -10, 36, 0, -26, -4, 0, 2, 22, 0, 0, -4, 0, -8, -16, 0, 12, 0, 0, -10, -22, 0, 24, 20, 0, 14, -16, 0, 14, -8, 0, 0, 16, 0, 52, -18, 0, -36, -7, 0, 42, 6, 0, -4, 0, 0, -20, 8, 0, 18, -72, 0, 0, 4, 0, -8, -14, 0, 0, 0, 0, -1, 0, 0, 34, -2, 0, 19, 36, 0, -40, 2, 0, 0, -28, 0, -6, -24, 0, 10, 0, 0, 20, -22, 0, 28, 0, 0, -48, 0, 0, -4, -30, 0, 0, 2, 0, -30, 52, 0, -20, 0, 0, -10, -34, 0, 16, -2, 0, -40, 40, 0, -14, 38, 0, 0, -18, 0, 48, -8, 0, 5, 0, 0, -26, 16, 0, 4, -26, 0, -6, 10, 0, 0, 8, 0, -7, 18, 0, 4, -46, 0, 64, 0, 0, 18, 8, 0, -42, 4, 0, 0, 60, 0, -24, -8, 0, 0, -8, 0, 18, -1, 0, 10, 0, 0, 20, 10, 0, 12, -4, 0, -4, -16, 0, -8, 4, 0, 0, -30, 0, -16, 0, 0, -48, -14, 0, -8, -30, 0, -40, -1, 0, 26, -36, 0, -14, -20, 0, 0, 54, 0, -52, 24, 0, 8, 0, 0, 50, 16, 0, -2, 42, 0, -64, -20, 0, 14, 12, 0, 0, -20, 0, 10, 12, 0, -24, 0, 0, -20, 72, 0, -38, 50, 0, 28, -6, 0, 0, 4, 0, 0, 24, 0, 0, -2, 0, 8, 0, 0, 0, 12, 0, -40, -48, 0, 14, -2, 0, 2, 32, 0, 0, 9, 0, 38, 0, 0, 4, 0, 0, -6, 30, 0, 0, 0, 0, -36, 24, 0, -33, -2, 0, 0, 66, 0, 4, 4, 0, -12, 0, 0, 70, 28, 0, 14, 10, 0, 40, -12, 0, -20, -24, 0, 0, 60, 0, 14, 64, 0, 32, 0, 0, -50, -10, 0, 18, 8, 0, 4, -18, 0, 24, -34, 0, 0, 4, 0, 20, 34, 0, -8, -14, 0, -56, -18, 0, 0, 12, 0, -42, 8, 0, 4, 62, 0, 0, -8, 0, -32, 0, 0, 80, 0, 0, -3, -19, 0, -48, 2, 0, -2, -12, 0, -50, -16, 0, 0, 0, 0, -60, -10, 0, 24, 0, 0, 22, -6, 0, -8, -12, 0, 40, 1, 0, -48, 4, 0, 0, 12, 0, -2, -26, 0, 44, 0, 0, -24, -48, 0, -14, 10, 0, -18, -22, 0, 2, 24, 0, 0, -12, 0, -32, 40, 0, 0, 0, 0, 8, -4, 0, 8, 56, 0, -108, 18, 0, 12, 20, 0, 0, -4, 0, -22, 36, 0, -10, 0, 0, 0, 80, 0, -4, 32, 0, 8, -4, 0, -12, 14, 0, 0, -12, 0, 40, -2, 0, 54, 0, 0, -18, 0, 0, 2, 30, 0, 8, -38, 0, 40, 8, 0, 0, 32, 0, 6, -10, 0, 16, 7, 0, -10, -44, 0, -10, -4, 0, 6, 16, 0, -4, 8, 0, 0, -32, 0, 30, -20, 0, -2, 0, 0, 8, 16, 0, -34, 8, 0, -42, 0, 0, 1, 22, 0, 0, -10, 0, 40, -40, 0, 58, 0, 0, 0, -78, 0, -24, -6, 0, 26, 12, 0, -34, -28, 0, 0, 2, 0, 12, 8, 0, 20, 0, 0, 8, 16, 0, 26, -38, 0, -40, -10, 0, -42, 0, 0, 0, 40, 0, 0, 12, 0, 32, 0, 0, -12, -28, 0, -6, -46, 0, -4, -32, 0, -8, 2, 0, 42, -12, 0, 22, -8, 0, 16, 0, 0, -12, -12, 0, 24, 10, 0, 59, 25, 0, -2, -2, 0, 0, -4, 0, -9, -72, 0, 6, 0, 0, 6, 14, 0, 20, 6, 0, 2, 40, 0, 0, -6, 0, 0, -46, 0, 8, 12, 0, 42, 0, 0, -36, -44, 0, -4, 30, 0, -68, 32, 0, -32, 40, 0, 0, -14, 0, 34, -70, 0, 12, 0, 0, -32, 0, 0, 62, -24, 0, -10, -14, 0, 4, 4, 0, 0, 0, 0, 10, 50, 0, -8, 0, 0, 8, -4, 0, 10, 40, 0, 34, -20, 0, 12, -20, 0, 0, 4, 0, -24, 8, 0, 50, 0, 0, 18, 4, 0, -72, -16, 0, 0, 68, 0, -2, -4, 0, 0, -80, 0, 8, 30, 0, 0, 0, 0, 42, 36, 0, 40, 3, 0, 40, 6, 0, -2, 52, 0, 14, -44, 0, -20, -8, 0, 72, 0, 0, 32, 32, 0, 10, 16, 0, 10, 0, 0, 32, -14, 0, 0, 8, 0, 32, 32, 0, -1, 0, 0, 8, 18, 0, 16, -8, 0, -27, 2, 0, 16, -60, 0, 0, 2, 0, -30, 36, 0, -66, 28, 0, -6, 18, 0, 28, -12, 0, -24, 0, 0, 50, 22, 0, 0, 42, 0, -40, 0, 0, 14, 0, 0, 4, 10, 0, -4, -50, 0, 0, 16, 0, 4, -12, 0, 0, 20, 0, 4, -46, 0, 56, 0, 0, 2, -60, 0, 4, 0, 0, 16, 70, 0, -32, -32, 0, 0, -24, 0, 36, 31, 0, 4, 0, 0, 0, -18, 0, 2, 12, 0, 14, 24, 0, 5, -20, 0, 0, -2, 0, 52, -24, 0, 38, 0, 0, 40, 34, 0, -8, 10, 0, 42, -6, 0, 0, -72, 0, -7, 12, 0, -16, 4, 0, 24, 0, 0, 16, -6, 0, 12, 42, 0, -8, 8, 0, 4, 36, 0, 0, 0, 0, 0, 2, 0, -76, 0, 0, -16, 8, 0, 26, -38, 0, 20, 18, 0, -56, -1, 0, 0, 44, 0, 10, -24, 0, 20, 70, 0, 12, 40, 0, 24, 0, 0, -30, 46, 0, 6, 0, 0, 0, 4, 0, -10, -44, 0, 86, 0, 0, -16, 48, 0, -8, 34, 0, 20, -8, 0, 20, -46, 0, 0, -26, 0, -18, -1, 0, 10, 0, 0, 22, -16, 0, -14, 30, 0, 16, 0, 0, -8, 16, 0, 0, -26, 0, 0, -70, 0, -40, 0, 0, 60, 4, 0, 0, 32, 0, -2, 54, 0, -12, 14, 0, 0, -72, 0, -70, -16, 0, -36, 0, 0, 12, -20, 0, -30, 12, 0, 0, -44, 0, -24, 2, 0, 28, 0, 0, 4, 0, 0, -14, 0, 0, 1, 20, 0, -40, -6, 0, 38, -8, 0, -6, 32, 0, 0, 46, 0, 84, 20, 0, 8, 0, 0, -22, -54, 0, -12, -30, 0, 48, 12, 0, 4, 24, 0, 0, 4, 0, 14, -82, 0, -32, 28, 0, 8, -96, 0, -78, 0, 0, 14, -34, 0, 24, 0, 0, 0, 16, 0, 60, 0, 0, -6, 0, 0, -60, 10, 0, -36, -8, 0, -4, 26, 0, 4, 64, 0, 0, -2, 0, -22, 8, 0, 44, 0, 0, 4, 0, 0, 12, 8, 0, 16, -80, 0, -47, -12, 0, 0, 58, 0, -4, 10, 0, 22, 0, 0, -2, -24, 0, -20, -18, 0, -120, -14, 0, 16, 2, 0, 0, -14, 0, 8, 2, 0, 32, 0, 0, -16, 12, 0, -30, -52, 0, 18, 28, 0, 28, 36, 0, 7, -40, 0, 20, -42, 0, -6, 0, 0, 0, 4, 0, 0, 52, 0, 38, 20, 0, -8, -74, 0, 0, -18, 0, 72, 24, 0, 42, 0, 0, -4, -10, 0, -56, 8, 0, 14, -16, 0, -26, 0, 0, 0, 30, 0, 20, 1, 0, 0, 0, 0, -18, -34, 0, 2, -6, 0, 64, -19, 0, -36, -16, 0, 0, 40, 0, -2, -16, 0, -6, 0, 0, 28, 8, 0, -12, 6, 0, 24, -46, 0, 12, -10, 0, 0, -4, 0, -90, -20, 0, 22, 0, 0, -68, -28, 0, 0, 32, 0, 4, 48, 0, 0, -6, 0, 0, 4, 0, 30, -120, 0, -16, 0, 0, -2, 0, 0, -76, 30, 0, -52, -4, 0, 74, 20, 0, 0, -78, 0, 56, 10, 0, 34, 0, 0, 14, -16, 0, 2, -90, 0, 32, 40, 0, -40, 48, 0, 49, 14, 0, -38, -4, 0, 8, 0, 0, 18, 60, 0, -64, -48, 0, 8, 78, 0, -40, -5, 0, 0, 56, 0, 2, 26, 0, -16, 0, 0, 48, -4, 0, 26, -40, 0, 14, 6, 0, -10, 70, 0, 0, 0, 0, -8, -80, 0, 0, 7, 0, -18, -64, 0, -4, -4, 0, 46, -68, 0, 12, -64, 0, 0, -12, 0, 84, -18, 0, -8, 0, 0, -86, 42, 0, -4, 18, 0, 24, 0, 0, -60, 0, 0, 0, 24, 0, 8, -80, 0, 0, 0, 0, 8, -20, 0, -80, -18, 0, 1, 100, 0, -16, -10, 0, 0, -10, 0, -4, -20, 0, -10, 0, 0, -40, -12, 0, 4, -56, 0, -22, 4, 0, 16, -6, 0, 0, 8, 0, -4, -20, 0, 60, 0, 0, 30, -16, 0, -20, 16, 0, 0, 48, 0, -34, 48, 0, 14, 26, 0, -80, 8, 0, 30, 0, 0, 46, 40, 0, 1, 12, 0, -24, -26, 0, 36, 48, 0, 0, 14, 0, 20, 0, 0, 0, 0, 0, -54, -100, 0, -36, 52, 0, -24, 0, 0, 32, -8, 0, 0, 48, 0, 34, -50, 0, -16, 42, 0, 6, 2, 0, -42, -8, 0, -14, 64, 0, 20, 6, 0, 0, -14, 0, -12, 36, 0, -6, 0, 0, 20, -30, 0, 40, -10, 0, -12, -16, 0, 64, 24, 0, 0, 30, 0, 0, 20, 0, -72, 0, 0, -80, 38, 0, -50, -1, 0, 40, -28, 0, 6, -72, 0, 0, 0, 0, -4, 46, 0, 20, 0, 0, -24, -24, 0, -20, 0, 0, 2, -60, 0, 0, -8, 0, 0, 12, 0, -74, 0, 0, -12, 0, 0, -84, 40, 0, 48, 0, 0, 82, -14, 0, 2, -70, 0, -28, -2, 0, -32, 20, 0, -20, 0, 0, -9, -14, 0, 52, -38, 0, 0, 24, 0, -38, -4, 0, 0, 32, 0, -88, 6, 0, -30, 0, 0, -10, 0, 0, 0, 78, 0, 12, 36, 0, -24, -4, 0, 0, 33, 0, 2, -54, 0, -8, 0, 0, -66, 120, 0, -34, -4, 0, -4, 62, 0, -8, 12, 0, 0, 0, 0, 80, -70, 0, -28, 0, 0, 24, -14, 0, -10, 120, 0, 0, -40, 0, 12, 62, 0, 0, 20, 0, 24, 5, 0, 14, 0, 0, -60, -38, 0, -8, -14, 0, -64, -8, 0, -58, -32, 0, 0, 62, 0, 20, 50, 0, 10, 0, 0, -17, -18, 0, -8, 4, 0, -36, -4, 0, 18, -20, 0, 0, -24, 0, 34, 6, 0, -56, 0, 0, -4, 40, 0, 82, -20, 0, -34, 10, 0, -48, 8, 0, 14, -68, 0, 18, 56, 0, 18, 0, 0, 4, 0, 0, -12, 4, 0, 58, 42, 0, -8, 50, 0, 0, -4, 0, -62, 0, 0, 32, 0, 0, 8, -54, 0, -1, 32, 0, 0, 64, 0, 48, -80, 0, 0, -2, 0, 72, 3, 0, 19, -28, 0, -96, 48, 0, -2, -42, 0, -32, 2, 0, 12, 56, 0, 0, 50, 0, 16, -30, 0, -80, 0, 0, 0, -24, 0, -2, 60, 0, 10, -16, 0, 16, -24, 0, 0, -96, 0, -12, -22, 0, 6, 0, 0, 28, 8, 0, 12, -28, 0, -84, -40, 0, -1, 0, 0, 0, 48, 0, -4, -40, 0, 10, 0, 0, -12, -46, 0, 56, 2, 0, 26, 4, 0, -30, -44, 0, 0, -26, 0, -20, 24, 0, 48, 0, 0, -28, 14, 0, -10, 0, 0, -40, 18, 0, 22, 0, 0, 70, -2, 0, -24, -100, 0, -40, 0, 0, 12, 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": "690.2.a.k", "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], [-1], [0], [0], [-1], [0], [1], [-4], [0], [-2], [0], [0], [1], [6], [0], [4], [-1], [0], [4], [1], [0], [1], [2], [0], [0], [2], [0], [0], [-1], [0], [-6], [0], [0], [-2], [-4], [0], [1], [-10], [0], [-4], [-4], [0], [-1], [0], [0], [-7], [-1], [0], [-2], [-6], [0], [4], [0], [0], [-2], [4], [0], [-10], [0], [0], [1], [2], [0], [-12], [6], [0], [0], [8], [0], [10], [2], [0], [4], [0], [0], [-8], [-1], [0], [10], [4], [0], [-6], [4], [0], [4], [-18], [0], [0], [1], [0], [0], [-4], [0], [2], [7], [0], [1]]}