# Stored data for newform 2790.2.a.t, downloaded from the LMFDB on 23 April 2024. {"label": "2790.2.a.t", "space_label": "2790.2.a", "level": 2790, "weight": 2, "hecke_orbit": 20, "hecke_orbit_code": 85568392953596646, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1960022508813225320, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [-2, 1]], [11, [-4, 1]], [13, [4, 1]], [17, [-6, 1]], [19, [0, 1]]], "qexp_display": "q+q^{2}+q^{4}-q^{5}+2q^{7}+q^{8}-q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 11160, "fricke_eigenval": -1, "atkin_lehner_string": "--+-", "analytic_conductor": 22.278262163937228, "hecke_ring_index": 1, "level_radical": 930, "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": "0.015", "prec": 17}, "analytic_rank_proved": true, "char_values": [2790, 1, [2171, 1117, 1801], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 31], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.021", "prec": 17}, {"__RealLiteral__": 0, "data": "1.032", "prec": 17}, {"__RealLiteral__": 0, "data": "0.042", "prec": 17}, {"__RealLiteral__": 0, "data": "2.084", "prec": 17}, {"__RealLiteral__": 0, "data": "0.120", "prec": 17}, {"__RealLiteral__": 0, "data": "5.244", "prec": 17}], "related_objects": ["EllipticCurve/Q/2790/t"], "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], [31, -1]], "trace_display": [1, 0, -1, 2], "traces": [0, 1, 1, 0, 1, -1, 0, 2, 1, 0, -1, 4, 0, -4, 2, 0, 1, 6, 0, 0, -1, 0, 4, 0, 0, 1, -4, 0, 2, -4, 0, 1, 1, 0, 6, -2, 0, 4, 0, 0, -1, 6, 0, -8, 4, 0, 0, 12, 0, -3, 1, 0, -4, 2, 0, -4, 2, 0, -4, -6, 0, 10, 1, 0, 1, 4, 0, -10, 6, 0, -2, 14, 0, 4, 4, 0, 0, 8, 0, -8, -1, 0, 6, 4, 0, -6, -8, 0, 4, 8, 0, -8, 0, 0, 12, 0, 0, -2, -3, 0, 1, -14, 0, 14, -4, 0, 2, 16, 0, 18, -4, 0, 2, 6, 0, 0, -4, 0, -6, 12, 0, 5, 10, 0, 1, -1, 0, -12, 1, 0, 4, -14, 0, 0, -10, 0, 6, 18, 0, -12, -2, 0, 14, -16, 0, 4, 4, 0, 4, -14, 0, -16, 0, 0, 8, -1, 0, -6, -8, 0, -1, 0, 0, 6, 6, 0, 4, 0, 0, 3, -6, 0, -8, -6, 0, 2, 4, 0, 8, 4, 0, 18, -8, 0, 0, -4, 0, 24, 12, 0, 0, 10, 0, -2, -2, 0, -3, -2, 0, 0, 1, 0, -14, -8, 0, -6, 14, 0, -4, 0, 0, 16, 2, 0, 16, 8, 0, 2, 18, 0, -4, -24, 0, 16, 2, 0, 6, -20, 0, -26, 0, 0, -4, -6, 0, -12, -6, 0, 12, -20, 0, 10, 5, 0, 10, 3, 0, 0, 1, 0, -1, 28, 0, 0, -12, 0, 1, 2, 0, 8, 4, 0, -14, -24, 0, -2, 0, 0, -10, 12, 0, -24, 6, 0, 18, 4, 0, -8, -12, 0, -2, -6, 0, 14, 14, 0, -16, 12, 0, 19, 4, 0, 4, -26, 0, 6, 4, 0, -14, 0, 0, -16, -16, 0, 0, -10, 0, 2, 8, 0, -1, -6, 0, -4, -6, 0, -8, -26, 0, -16, -1, 0, 0, 0, 0, -4, 6, 0, 6, 24, 0, -28, 4, 0, 0, 10, 0, 8, 3, 0, -6, 4, 0, -20, -8, 0, -6, -4, 0, 2, 2, 0, 4, -10, 0, -14, 8, 0, 4, -30, 0, -19, 18, 0, -8, -4, 0, 0, 0, 0, -4, 4, 0, 18, 24, 0, 12, 16, 0, -8, 0, 0, 10, -24, 0, -8, -2, 0, -2, -36, 0, 0, -3, 0, -2, 8, 0, -18, 0, 0, 1, 4, 0, -4, -14, 0, -8, 16, 0, 6, -6, 0, 14, -12, 0, -4, -4, 0, 0, 30, 0, -30, 16, 0, 2, 6, 0, 20, 16, 0, 8, 10, 0, -4, 2, 0, 18, 0, 0, 24, -4, 0, -24, 12, 0, -8, 16, 0, 2, -20, 0, 24, 6, 0, -20, 8, 0, -4, -26, 0, 0, -24, 0, 12, -4, 0, -6, 24, 0, -20, -12, 0, -6, -32, 0, 0, 12, 0, -20, 14, 0, -16, 10, 0, 5, 2, 0, -28, 10, 0, 3, 0, 0, -24, 0, 0, 1, 28, 0, -4, -1, 0, 28, 12, 0, 14, 0, 0, -12, 0, 0, 8, 1, 0, 2, -14, 0, 48, 8, 0, 4, -18, 0, 0, -14, 0, -24, 6, 0, -23, -2, 0, 0, -24, 0, -16, -10, 0, 12, -12, 0, -30, -24, 0, 6, -18, 0, 46, 18, 0, 4, 0, 0, -16, -8, 0, -12, 18, 0, 32, -2, 0, -6, -8, 0, -6, 14, 0, 14, 20, 0, -28, -16, 0, 12, 0, 0, 42, 19, 0, 4, 8, 0, 8, 4, 0, -26, 12, 0, 0, 6, 0, 4, 46, 0, -12, -14, 0, 0, -6, 0, -26, -16, 0, -16, -5, 0, 14, 0, 0, -10, -48, 0, -24, 2, 0, 8, -26, 0, 28, -1, 0, -6, 16, 0, 1, -4, 0, -6, 24, 0, -8, -8, 0, -26, 12, 0, 12, -16, 0, -1, -36, 0, 40, 0, 0, 0, -32, 0, -24, -4, 0, 6, 22, 0, 14, 6, 0, 24, 22, 0, -18, -28, 0, 4, 0, 0, 0, 0, 0, 10, 40, 0, -16, 8, 0, 3, 34, 0, -4, -6, 0, 4, -4, 0, -18, -20, 0, -8, -8, 0, -4, -6, 0, -4, 12, 0, 36, 2, 0, 2, -50, 0, 0, 4, 0, -10, -28, 0, -10, -14, 0, 8, 0, 0, 16, 4, 0, -30, -8, 0, 28, -19, 0, 18, -4, 0, -30, -8, 0, -4, -48, 0, -26, 0, 0, 0, -40, 0, -44, -4, 0, 4, -8, 0, 14, 18, 0, 24, 32, 0, 16, 12, 0, 16, 16, 0, -12, -8, 0, 0, -36, 0, 36, 10, 0, -24, 24, 0, 30, -8, 0, -2, -6, 0, 1, -2, 0, -36, 0, 0, 56, 0, 0, -3, 6, 0, 20, -2, 0, 8, 12, 0, -40, -18, 0, 0, 6, 0, 72, 1, 0, 4, 16, 0, 0, -4, 0, -14, -20, 0, -40, -8, 0, 16, -6, 0, 0, 6, 0, -6, -12, 0, -4, 14, 0, -12, 4, 0, 2, -4, 0, -4, -18, 0, 0, 0, 0, 30, 34, 0, -13, -30, 0, 16, -3, 0, 10, 2, 0, 6, 0, 0, 30, 20, 0, 16, -42, 0, 28, 8, 0, 10, 24, 0, 6, -4, 0, 2, -32, 0, 40, 18, 0, 0, -2, 0, -18, 24, 0, -4, 56, 0, -20, -24, 0, 12, -24, 0, -24, -8, 0, 16, 0, 0, -4, 2, 0, -20, -4, 0, 12, 24, 0, 6, -18, 0, 58, -20, 0, 8, -8, 0, 16, -4, 0, -26, -28, 0, -36, 0, 0, -24, -56, 0, 4, 12, 0, -4, -24, 0, 0, -6, 0, 24, -24, 0, -2, -20, 0, -12, -12, 0, 0, -6, 0, -32, 28, 0, -16, 0, 0, 12, 50, 0, -10, -20, 0, 14, 36, 0, 1, -16, 0, 10, 2, 0, -40, 5, 0, 2, 6, 0, -24, -28, 0, 10, 30, 0, 32, 3, 0, 0, -24, 0, 2, -24, 0, 0, 0, 0, 8, 1, 0, 28, 0, 0, 18, -4, 0, -1, -32, 0, -36, 28, 0, 12, 0, 0, -6, 14, 0, 0, 22, 0, 8, -12, 0, 0, 0, 0, -50, 8, 0, 1, 6, 0, 32, 2, 0, -14, 62, 0, 46, 48, 0, 8, 60, 0, 0, 4, 0, -18, -28, 0, 0, 0, 0, -14, 44, 0, -28, -24, 0, 6, -16, 0, -32, -23, 0, -2, 54, 0, -50, 0, 0, -24, -8, 0, -26, -16, 0, -10, -16, 0, -8, 12, 0, -12, -16, 0, 0, -30, 0, -24, -2, 0, 22, 6, 0, -18, 36, 0, 50, 46, 0, 18, -6, 0, -12, 4, 0, 0, 64, 0, 24, -16, 0, -8, -52, 0, -56, -12, 0, 18, -16, 0, 6, 32, 0, -2, 0, 0, -18, -6, 0, -8, 0, 0, -42, -6, 0, 14, 56, 0, 20, 14, 0, 20, -60, 0, 12, -28, 0, -16, 26, 0, 4, 12, 0, 0, 14, 0, 4, 42, 0, 19, -32, 0, 0, 4, 0, 8, 16, 0, 6, 8, 0, 4, 0, 0, 12, -26, 0, 12, 12, 0, 64, 0, 0, 6, -32, 0, 6, 4, 0, 46, 40, 0, -24, -12, 0, -14, -14, 0, 20, 0, 0, -6, 72, 0, -2, -26, 0, -16, -10, 0, 84, -16, 0, -5, -12, 0, 30, 14, 0, 0, 30, 0, 0, -10, 0, -48, 40, 0, -3, -24, 0, 2, 66, 0, 8, 8, 0, -26, 0, 0, -26, 28, 0, -1, 24, 0, 24, -6, 0, 16, 32, 0, -14, 1, 0, -4, 8, 0, -28, -6, 0, 24, -26, 0, 8, -8, 0, -8, 0, 0, 36, -26, 0, 12, 6, 0, 0, 12, 0, -16, 54, 0, 44, -1, 0, -36, -60, 0, -2, 40, 0, 0, 10, 0, 32, 0, 0, -32, -8, 0, -68, -24, 0, -4, -12, 0, -62, 6, 0, 22, 44, 0, 48, 14, 0, 6, 56, 0, 24, 24, 0, 22, 48, 0, 70, -18, 0, -28, 2, 0, -34, 4, 0, 0, -24, 0, -8, 0, 0, 0, 20, 0, -56, 10, 0, 40, -48, 0, -12, -16, 0, 8, 0, 0, -4, 3, 0, 34, 24, 0, 0, -4, 0, -6, 38, 0, -48, 4, 0, -4, 56, 0, -21, -18, 0, -20, 34, 0, -4, -8, 0, -8, -4, 0, 14, -4, 0, -6, 8, 0, 0, -4, 0, 12, -64, 0, 0, 36, 0, 2, -48, 0, 44, 2, 0, -50, 0, 0, 6, 0, 0, 4, 58, 0, 24, -10, 0, -28, -14, 0, -72, -10, 0, -14, 12, 0, 6, 8, 0, 0, -68, 0, -74, 16, 0, 4, 42, 0, -12, -30, 0, -8, -16, 0, -56, 28, 0, -19, -19, 0, 44, 18, 0, -4, 34, 0, -12, -30, 0, -8, 12, 0, 24, -4, 0, -48, 0, 0, 26, -26, 0, 0, -24, 0, -52, 0, 0, -40, -6, 0, 32, -44, 0, -4, -72, 0, 60, 4, 0, -8, -24, 0, -54, 14, 0, 18, 18, 0, 0, 24, 0, 32, -32, 0, 0, 16, 0, 12, 16, 0, 72, 16, 0, 16, -36, 0, 48, -12, 0, -8, 24, 0, -3, 0, 0, -36, -56, 0, 10, 36, 0, 10, -48, 0, -20, -24, 0, 24, -2, 0, -8, 30, 0, -8, 0, 0, 44, -2, 0, -6, -48, 0, -46, 1, 0, -2, -50, 0, 6, -36, 0, 0, -50, 0, 32, 56, 0, 0, 4, 0, -16, -3, 0, 6, 40, 0, -20, 20, 0, -2, 0, 0, 36, 8, 0, 12, 64, 0, 26, -40, 0, -18, -40, 0, -32, 0, 0, 6, 16, 0, 2, 72, 0, 1, 14, 0, -52, 4, 0, 16, -40, 0, -26, 0, 0, -4, 50, 0, 0, -14, 0, -20, -18, 0, -66, -40, 0, -8, 4, 0, 72, 16, 0, -6, -12, 0, 0, 0, 0, 6, -10, 0, -56, -6, 0, -12, 2, 0, -24, -4, 0, 14, -12, 0, 48, -12, 0, 4, 28, 0, 14, 2, 0, -4, -64, 0, 6, -4, 0, -18, 12, 0, 38, 0, 0, 0, -40, 0, -10, 30, 0, 34, 0, 0, -5, -13, 0, -30, -8, 0, 20, 16, 0, -3, 0, 0, -34, 10, 0, 2, 66, 0, 52, 6, 0, 0, 56, 0, -4, 30, 0, 20, -38, 0, 24, 16, 0, -42, 20, 0, -84, 28, 0, 8, 42, 0, 50, 10, 0, 24, -24, 0, 0, 6, 0, -4, -6, 0, 4, 2, 0, -32, 48, 0, -22, 40, 0, 18, -2, 0, 24, 0, 0, -2, 84, 0, 76, -18, 0, 24, 56, 0, 32, -4, 0, 56, -48, 0, 10, -20, 0, -24, -40, 0, 0, 12, 0, -24, 14, 0, -26, -24, 0, -8, -72, 0, -46, 16, 0, 0, 24, 0, 18, -4, 0, 2, 24, 0, 30, -20, 0, -4, 4, 0, 38, 12, 0, 24, 19, 0, 48, 6, 0, -18, 8, 0, -12, 58, 0, -20, 0, 0, 96, 8, 0, -8, 24, 0, 4, 16, 0, -4, -6, 0, -28, -26, 0, -28, 0, 0, 0, -36, 0, 0, -48, 0, 0, -24, 0, -56, 48, 0, 21, 4, 0, 12, 108, 0, -4, -4, 0, -24, 12, 0, -26, 0, 0, -6, -18, 0, -2, 24, 0, -24, 32, 0, -8, -2, 0, -20, 2, 0, -28, -12, 0, -12, 24, 0, -16, 0, 0, -6, -72, 0, 10, -32, 0, 28, 8, 0, -48, -16, 0, 0, 30, 0, -24, 12, 0, 50, -36, 0, 0, -10, 0, -20, -18, 0, 24, 14, 0, 36, 0, 0, 36, 1, 0, -16, 8, 0, 72, 10, 0, 2, -2, 0, 64, -40, 0, 5, 56, 0, -16, 2, 0, 6, 40, 0, 36, -24, 0, -28, 44, 0, 24, 10, 0, 30, 0, 0, 0, 32, 0, 3, 8, 0, 64, 0, 0, -24, -12, 0, 16, 2, 0, -24, 6, 0, -8, 0, 0, 0, 16, 0, 28, 8, 0, 1, 18, 0, -72, 28, 0, 0, 72, 0, 82, 18, 0, -4, -46, 0, 72, -1, 0, -32, -60, 0, -4, -36, 0, 28, -18, 0, 76, 12, 0, 0, 4, 0, -82, -6, 0, 14, -96, 0, 38, 0, 0, 22, -4, 0, -34, 8, 0, -12, 0, 0, -16, 0, 0, 0, -28, 0, 24, -50, 0, 8, -6, 0, 0, 1, 0, 6, -52, 0, -34, 32, 0, 2, 30, 0, -56, -14, 0, 62, -56, 0, 12, 46, 0, 48, -72, 0, 0, 8, 0, 60, 4, 0, -10, 0, 0, 4, 10, 0, -32, -18, 0, -28, -28, 0, 50, 0, 0, 0, 0, 0, -30, -14, 0, 44, -20, 0, 40, -28, 0, -24, 30, 0, 24, 6, 0, -16, 4, 0, -2, -32, 0, -23, -16, 0, -24, -2, 0, 54, -8, 0, -6, -50, 0, 0, 52, 0, -60, -24, 0, -8, -20, 0, -36, -26, 0, -16, 34, 0, 38, -10, 0, -16, 0, 0, 4, -8, 0, 12, 42, 0, -10, -12, 0, -16, -72, 0, -30, 0, 0, -30, 4, 0, -8, -24, 0, -2, 0, 0, 12, 22, 0, 6, -12, 0, -52, -18, 0, 36, -24, 0, 0, 50, 0, 46, 0, 0, -8, 18, 0, -6, -24, 0, 40, -12, 0, 4, 14, 0, 34, 0, 0, 64, 64, 0, 97, 24, 0, -16, -66, 0, -12, -8, 0, -52, -52, 0, 14, -56, 0, -12, 8, 0, -84, 18, 0, -16, 0, 0, -32, 6, 0, 32, -66, 0, 52, -2, 0, 0, 60, 0, 20, -18, 0, -6, 24, 0, 40, -8, 0, 0, -24, 0, 40, -42, 0, -6, 0, 0, 4, 14, 0, 56, 32, 0, 54, 20, 0, 14, -78, 0, -8, 20, 0, -60, -16, 0, -58, 12, 0, -28, 4, 0, -76, -16, 0, 26, 32, 0, 64, 4, 0, 12, -42, 0, 0, 0, 0, 14, -36, 0, 24, 4, 0, 42, -20, 0, 16, 19, 0, -32, -12, 0, -56, 0, 0, 4, 64, 0, 0, 8, 0, 16, -16, 0, 108, 6, 0, 8, -14, 0, -24, 4, 0, 0, -22, 0, -54, 12, 0, -26, 20, 0, 0, 12, 0, 12, 60, 0, -72, 64, 0, 0, -42, 0, 16, 6, 0, -32, -72, 0, 32, 6, 0, 4, 0, 0, -20, 46, 0, 40, 0, 0, 28, -24, 0, -12, 62, 0, -28, -14, 0, -14, 8, 0, 94, 20, 0, 0, -66, 0, -14, -6, 0, 72, -84, 0, -19, -2, 0, -26, 16, 0, -16, -16, 0, -10, -48, 0, 0, 84, 0, -16, -38, 0, -36, -5, 0, -12, -60, 0, -2, 30, 0, 14, -8, 0, -96, 0, 0, 30, 28, 0, -98, 0, 0, -10, -96, 0, 4, -48, 0, 40, -72, 0, -8, -3, 0, -24, 64, 0, 0, 2, 0, 66, -66, 0, 0, 8, 0, 8, 24, 0, -54, -26, 0, 0, -20, 0, -92, -26, 0, 28, 62, 0, -40, -1, 0, 24, -40, 0, -28, 24, 0, -6, 0, 0, 24, 16, 0, 32, 4, 0, -80, -14, 0, 1, 60, 0, -52, -4, 0, 8, 0, 0, 8, -28, 0, -6, -60, 0, -12, 24, 0, -26, -104, 0, 38, 8, 0, -8, -14, 0, -38, -8, 0, 0, 70, 0, -84, 36, 0, -26, 48, 0, -64, 12, 0, 6, 60, 0, 0, 0, 0, 12, 34, 0, 72, -16, 0, 54, -8, 0, -64, 44, 0, -1, 8, 0, -24, -36, 0, -60, -96, 0, 0, -2, 0, 40, 4, 0, 14, 0, 0, 10, 60, 0, -32, 32, 0, 0, -48, 0, 0, -32, 0, -8, -18, 0, -14, -68, 0, -24, -6, 0, 0, -4, 0, -12, 0, 0, 18, -62, 0, 6, -18, 0, 36, 22, 0, 44, 0, 0, -32, 48, 0, 14, -80, 0, -80, 6, 0, 56, 56, 0, -80, 24, 0, 24, 66, 0, -6, 22, 0, 48, 32, 0, 0, 70, 0, -18, 23, 0, -16, -28, 0, 2, 40, 0, -16, -34, 0, 4, 38, 0, 60, 0, 0, -24, 28, 0, 24, -8, 0, 0, -36, 0, -12, 0, 0, 20, 16, 0, -88, -56, 0, 10, -48, 0, 8, 40, 0, -48, 32, 0, -90, -12, 0, -16, 66, 0, 12, 8, 0, 0, 18, 0, 16, -4, 0, 3, 30, 0, -74, 34, 0, 24, 94, 0, 74, 0, 0, -4, 0, 0, 32, -6, 0, 38, -72, 0, 18, -48, 0, 4, -30, 0, 76, -4, 0, 56, -46, 0, 0, -21, 0, -18, 12, 0, -64, -20, 0, 34, -60, 0, -18, -4, 0, -8, 18, 0, 0, -8, 0, -4, 8, 0, 112, 14, 0, -4, 16, 0, -26, -6, 0, 8, 36, 0, -72, 0, 0, -4, -22, 0, -36, 12, 0, -64, 0, 0, -18, 0, 0, 36, 56, 0, -20, 2, 0, -48, -32, 0, -98, 44, 0, 2, 88, 0, -76, -50, 0, 0, 8, 0, -49, 6, 0, 0, 8, 0, 8, 4, 0, 58, -56, 0, -8, 24, 0, -10, 6, 0, 8, -28, 0, -14, 0, 0, -24, -72, 0, -10, -94, 0, 0, -14, 0, 12, 36, 0, -20, 6, 0, 8, 32, 0, -60, 0, 0, -68, 28, 0, 58, -74, 0, 16, 54, 0, 12, 4, 0, 42, 120, 0, 0, -12, 0, -30, 18, 0, 0, -8, 0, -16, 16, 0, 80, -56, 0, 28, -42, 0, -74, -19, 0, -19, 18, 0, -96, 44, 0, 18, -14, 0, -64, -4, 0, 34, -4, 0, -8, -12, 0, -30, -60, 0, 84, -8, 0, 12, -8, 0, -76, 24, 0, -4, 0, 0, -32, -48, 0, 0, -80, 0, 56, 26, 0, -26, 60, 0, -12, 0, 0, -24, 38, 0, -36, -52, 0, 0, 0, 0, -60, -40, 0, -6, 80, 0, 34, 32, 0, -44, -90, 0, 48, -4, 0, -72, 60, 0, -46, 60, 0, 4, 32, 0, 12, -8, 0, -24, 12, 0, 104, -54, 0, 14, -96, 0, 0, 18, 0, 18, -56, 0, -30, 0, 0, 24, 24, 0, 6, 32, 0, -32, -24, 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": "930.2.a.d", "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], [2], [1], [0], [-1], [4], [0], [-4], [2], [0], [1], [6], [0], [0], [-1], [0], [4], [0], [0], [1], [-4], [0], [2], [-4], [0], [1], [1], [0], [6], [-2], [0], [4], [0], [0], [-1], [6], [0], [-8], [4], [0], [0], [12], [0], [-3], [1], [0], [-4], [2], [0], [-4], [2], [0], [-4], [-6], [0], [10], [1], [0], [1], [4], [0], [-10], [6], [0], [-2], [14], [0], [4], [4], [0], [0], [8], [0], [-8], [-1], [0], [6], [4], [0], [-6], [-8], [0], [4], [8], [0], [-8], [0], [0], [12], [0], [0], [-2], [-3], [0], [1]]}