# Stored data for newform 3850.2.a.k, downloaded from the LMFDB on 19 April 2024.
{"label": "3850.2.a.k", "space_label": "3850.2.a", "level": 3850, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307263242, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 411917173045894558, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-2, 1]], [13, [-4, 1]], [17, [0, 1]], [19, [4, 1]]], "qexp_display": "q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{7}-q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 15400, "fricke_eigenval": 1, "atkin_lehner_string": "++++", "analytic_conductor": 30.74240477819295, "hecke_ring_index": 1, "level_radical": 770, "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": "0.020", "prec": 17}, "analytic_rank_proved": true, "char_values": [3850, 1, [2927, 2201, 1751], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 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": "1.032", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.070", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.180", "prec": 17}], "related_objects": ["EllipticCurve/Q/3850/k"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, 1], [7, 1], [11, 1]], "trace_display": [-1, 2, 0, -1], "traces": [0, 1, -1, 2, 1, 0, -2, -1, -1, 1, 0, -1, 2, 4, 1, 0, 1, 0, -1, -4, 0, -2, 1, 0, -2, 0, -4, -4, -1, -6, 0, -10, -1, -2, 0, 0, 1, -2, 4, 8, 0, -12, 2, 4, -1, 0, 0, -6, 2, 1, 0, 0, 4, 6, 4, 0, 1, -8, 6, -6, 0, -4, 10, -1, 1, 0, 2, 4, 0, 0, 0, 12, -1, 4, 2, 0, -4, 1, -8, 8, 0, -11, 12, -12, -2, 0, -4, -12, 1, 18, 0, -4, 0, -20, 6, 0, -2, 10, -1, -1, 0, 0, 0, -14, -4, 0, -6, -12, -4, 2, 0, -4, -1, 6, 8, 0, -6, 4, 6, 0, 0, 1, 4, -24, -10, 0, 1, -8, -1, 8, 0, 0, -2, 4, -4, 0, 0, -6, 0, -4, 0, -12, -12, -4, 1, 0, -4, 2, -2, -18, 0, -16, 4, 0, -1, 0, 8, 22, -8, 12, 0, 0, 11, 4, -12, 0, 12, -24, 2, 3, 0, -4, 4, -12, 12, 0, -1, -12, -18, 12, 0, -10, 4, -8, 0, 0, 20, 0, -6, 4, 0, 0, 2, -14, -10, 0, 1, 6, 1, 2, 0, 8, 0, 6, 0, 0, 14, 0, 4, 4, 0, -4, 6, 24, 12, 0, 4, 10, -2, 8, 0, 0, 4, 10, 1, 0, -6, 24, -8, -10, 0, 2, 6, 6, -4, 0, -6, 16, 0, -24, 0, -4, -1, -10, -4, 0, 24, -16, 10, -24, 0, -18, -1, 0, 8, 0, 1, -18, -8, 2, 0, -6, 0, 0, 2, 0, -4, 36, 4, 6, 0, 20, 0, -8, 6, 0, 0, 22, 4, -10, 0, -18, 12, 16, 12, 0, 4, 12, -1, -17, 0, 20, 4, -24, -2, 0, 2, 4, 18, 0, 0, -4, 16, 0, -4, 0, 0, -32, 1, -28, 0, 18, -8, -2, -22, 0, 8, -6, -12, 6, 0, -24, 0, 0, -11, 0, -4, 4, 12, 6, 0, 20, -12, -2, 24, 0, -2, 22, -3, 12, 0, 10, 4, -1, -4, 0, 12, -12, -12, 20, 0, -16, 1, 6, 12, 0, 18, 0, -12, -24, 0, -3, 10, 2, -4, 0, 8, 34, 0, -12, 0, -6, -20, 22, 0, 0, 6, -24, -4, -16, 0, -16, 0, 6, -2, 0, 14, 4, 10, 30, 0, 0, -1, 0, -6, 0, -1, -2, -2, 8, 0, -6, -8, -40, 0, 0, -6, 2, 0, 32, 0, -12, -14, 6, 0, 0, -4, -8, -4, -6, 0, 26, 4, -6, -6, 0, -24, 4, -12, -8, 0, 24, -4, -14, -10, 0, 2, 0, -8, -28, 0, 1, 0, 24, -4, 0, -10, -36, -1, 6, 0, 12, 6, -32, -24, 0, 8, 10, 10, 0, 0, -36, -2, 40, -6, 0, -6, -42, 4, -4, 0, 44, 6, -4, -16, 0, 0, 6, 24, 12, 0, -8, 4, 0, 1, 0, 10, -32, 4, 8, 0, -12, -24, 0, 16, 0, -10, -12, 24, -40, 0, -48, 18, 12, 1, 0, 0, 6, -8, 6, 0, -4, -1, 16, 18, 0, 8, 6, -2, -24, 0, -42, 6, 16, 0, 0, 0, 0, -2, -23, 0, -6, 4, -48, -36, 0, -4, 24, -6, -1, 0, -10, -20, -20, 0, 0, 8, 28, -6, -4, 0, 24, 0, -8, -22, 0, -4, 6, 10, 16, 0, 0, 18, 12, -12, 0, -16, 11, -12, 6, 0, -4, -4, 0, -12, 0, 1, -38, 17, -28, 0, 12, -20, -6, -4, 0, 24, -18, 2, 40, 0, 12, -2, 12, -4, 0, -18, 4, 0, 36, 0, -4, 4, 4, -16, 0, 0, 40, 4, 12, 0, -24, 0, 10, 32, 0, -1, -6, 28, -10, 0, 0, -18, -18, 8, 0, 2, 8, 22, 0, 0, 8, -8, -8, 6, 0, 12, 4, -6, 12, 0, 30, 24, -2, 0, 0, 0, 6, 11, 6, 0, 20, 4, 18, -4, 0, -12, 4, -6, 12, 0, 26, -20, 0, 12, 0, 2, 0, -24, 20, 0, 4, 2, -2, -22, 0, 3, -12, -12, -10, 0, 48, -10, 24, -4, 0, 1, -20, 4, 24, 0, 2, -12, 1, 12, 0, 12, 0, -20, 12, 0, -30, 16, 8, -1, 0, -6, 0, -12, 38, 0, 8, -18, 0, 0, 0, 12, -48, 24, 30, 0, 14, 3, -8, -10, 0, -2, -2, 4, 13, 0, 0, -8, 40, -34, 0, 0, -4, 12, -4, 0, -32, 6, -24, 20, 0, -22, -12, 0, 12, 0, -28, -6, -36, 24, 0, 4, -38, 16, 0, 0, 24, 16, -2, 0, 0, -6, -24, 2, -16, 0, -36, -14, 18, -4, 0, -10, 4, -30, 48, 0, -12, 0, 24, 1, 0, 0, -44, 6, 0, 0, -6, 1, -16, 2, 0, 2, -42, -8, 0, 0, 18, 6, -4, 8, 0, 40, 12, 0, -30, 0, -16, 6, 40, -2, 0, 0, -16, -32, -4, 0, 30, 12, 4, 14, 0, -6, 12, 0, 26, 0, 44, 4, 0, 8, 0, 4, 40, 6, 30, 0, 7, -26, -36, -4, 0, 6, -1, 6, 32, 0, 0, 24, 4, -4, 0, 12, 12, 8, -10, 0, 24, -24, -12, 4, 0, 14, -34, 10, -8, 0, 16, -2, 10, 0, 0, 8, 34, 28, -48, 0, 6, -1, 16, 0, 0, -24, -12, 4, 8, 0, 11, 10, 24, 36, 0, 1, 0, -6, 60, 0, 0, -12, -8, -6, 0, 32, 28, 24, 0, 0, 36, -8, 12, -10, 0, -10, 0, 0, -16, 0, -64, 36, 48, 2, 0, -40, -14, 6, -42, 0, -4, 6, 36, 42, 0, -4, 52, 4, -4, 0, -36, -44, 0, -6, 0, 4, -48, 16, 16, 0, -12, 0, 18, -6, 0, -24, 12, -12, 6, 0, 69, 8, -12, -4, 0, 0, -32, -1, 0, 0, 30, -10, 4, 32, 0, -4, -18, -8, -18, 0, 2, 12, 42, 24, 0, 0, 12, -16, 0, 0, 20, 10, 40, 12, 0, -24, 52, 40, 8, 0, 4, 48, 0, -18, 0, -12, -24, -1, 2, 0, 44, 0, 18, -6, 0, 8, 6, -6, -12, 0, 50, 4, 20, 1, 0, -16, 32, -18, -2, 0, -24, -8, 22, -6, 0, 2, 0, 24, -22, 0, -24, 42, 18, -6, 0, -16, 40, 0, -18, 0, 44, 0, -44, 0, 0, 2, 16, 23, 12, 0, -54, 6, -44, -4, 0, 48, -10, 36, 56, 0, 0, 4, 12, -24, 0, 6, -48, 1, -48, 0, 0, 10, -6, 20, 0, 20, 28, 0, 1, 0, -60, -8, -38, -28, 0, 6, -24, 4, -22, 0, 68, -24, -36, 0, 0, 8, 48, 22, -66, 0, 0, 4, -12, -6, 0, -10, -2, -16, 44, 0, 24, 0, 46, -18, 0, -12, 0, 12, -58, 0, -48, 16, 14, -11, 0, 12, -32, -6, 0, 0, -4, 4, -8, 4, 0, 0, 20, 12, 12, 0, 0, -1, 34, 38, 0, -17, 72, 28, 16, 0, -16, -12, 60, 20, 0, 6, 60, 4, 24, 0, 8, -24, 0, 18, 0, -2, 12, -40, 0, 0, 42, -12, -3, 2, 0, -12, -12, 4, 72, 0, -4, 18, 54, -4, 0, 0, 4, -36, -2, 0, -58, 4, -12, -4, 0, -4, 0, 16, -80, 0, 12, 0, 22, -40, 0, -4, -12, -12, 0, 0, 4, 24, -36, 0, 0, -10, 64, -32, -18, 0, 8, 1, -6, 6, 0, -28, 10, 10, 12, 0, 0, 0, -6, 18, 0, 18, -24, -8, 32, 0, -4, -2, -12, -8, 0, -22, -12, 0, -66, 0, 40, -8, 52, 8, 0, 8, 10, -6, 24, 0, 120, -12, -16, -4, 0, 6, -66, -12, -46, 0, 8, -30, -36, -24, 0, 2, -4, 0, -6, 0, -46, 0, 48, -6, 0, -11, -2, -6, -28, 0, 54, -20, -44, -4, 0, -18, -6, 4, 0, 0, 0, 12, 0, -4, 0, 6, -56, -12, -36, 0, 26, -26, -4, 20, 0, 0, 40, -12, 48, 0, -1, -2, -40, 0, 0, 24, 0, -20, -56, 0, -18, -4, 0, -2, 0, 2, 12, 22, -48, 0, 14, -3, 24, 12, 0, 12, 0, 10, -16, 0, 0, -48, 36, 10, 0, -24, 24, 4, -33, 0, 20, -1, 66, 20, 0, -4, 0, -24, -6, 0, 50, -2, -72, 12, 0, -1, -16, -12, 80, 0, -48, -12, -2, 0, 0, 20, 8, -12, 44, 0, -84, 30, 0, -16, 0, -8, -8, 1, -18, 0, 0, 6, 22, 0, 0, 12, 8, -38, -8, 0, -6, -8, -20, 18, 0, 0, 48, 0, 50, 0, -24, -12, 42, 48, 0, -24, 24, -30, -72, 0, 0, -14, -16, -3, 0, 8, -20, 10, 0, 0, 12, 2, -2, 2, 0, -4, 60, -13, -16, 0, -64, 0, -4, 8, 0, -40, 4, 34, 24, 0, 8, 0, -24, 4, 0, -12, 4, 4, 0, 0, -54, 32, -26, -6, 0, 24, -12, -20, -34, 0, -24, 22, -66, 12, 0, 0, -80, -12, -48, 0, -32, 28, -24, 6, 0, 36, 6, -24, 24, 0, -42, -4, 0, 38, 0, -16, 24, 0, -10, 0, 3, -24, 60, -16, 0, 2, 12, 0, 4, 0, -4, 6, -8, 24, 0, -2, -36, 16, 44, 0, 0, 36, -26, 14, 0, -18, 0, 4, 2, 0, 12, 10, 0, -4, 0, 30, -12, -48, -72, 0, -10, 12, -84, 0, 0, -24, -2, -1, 32, 0, 42, 0, 4, 44, 0, -6, 48, 0, -4, 0, 0, 6, 0, -1, 0, 16, -46, -2, -24, 0, -8, -2, 24, 42, 0, 8, -26, 0, -96, 0, 0, -18, 10, -6, 0, 4, -24, -8, 26, 0, 12, -40, -24, -12, 0, 0, -2, 30, -60, 0, 74, 16, -20, -6, 0, -40, 28, 2, -10, 0, -6, 0, 0, 16, 0, 32, 30, 4, 18, 0, 56, -30, -60, -12, 0, -4, 16, -14, 0, 0, -32, 6, 48, -12, 0, 0, -56, -26, -16, 0, 16, -44, 40, -4, 0, 0, 36, -8, -4, 0, 12, -4, 24, -40, 0, -6, 32, -30, 0, 0, 103, -7, 0, 26, 0, 36, 4, 4, 24, 0, -72, -6, -20, 1, 0, -6, -66, -32, -34, 0, 10, 0, 0, -24, 0, -4, 12, 4, 42, 0, 36, -12, -8, -12, 0, -8, 0, 10, 0, 0, -42, -24, -68, 24, 0, 12, -22, -4, 16, 0, -76, -14, -6, 34, 0, -10, -14, 8, 12, 0, 2, -16, 24, 2, 0, -10, -68, 0, -12, 0, 0, -8, -38, -34, 0, -28, 18, 48, 32, 0, -36, -6, -48, 1, 0, -16, 80, 0, 24, 0, 0, 24, 6, 12, 0, -4, 4, -8, 24, 0, -24, -11, 34, -10, 0, -24, -48, -36, 14, 0, 2, -1, -4, 0, 0, 6, 72, -60, 18, 0, 2, 0, -8, 12, 0, 8, -16, 6, -16, 0, 60, -32, -2, -28, 0, -24, 0, 0, 0, 0, 80, -36, -48, 8, 0, -12, 6, 10, 60, 0, 44, 10, -48, 0, 0, 0, 24, 16, 20, 0, 0, 64, -40, -36, 0, -48, -60, -2, -27, 0, -12, 40, 0, 14, 0, -6, -20, 42, -3, 0, -64, 4, 0, -6, 0, -36, -44, -42, -36, 0, -12, 4, 34, -52, 0, -4, 78, 4, -46, 0, 4, 36, -6, 44, 0, 0, 0, 6, 12, 0, 40, -4, 16, 48, 0, -16, -20, -16, -4, 0, 18, 12, 12, 0, 0, -18, 6, 6, 0, 0, 8, 24, 54, -12, 0, 12, -48, -6, 0, 0, 0, -69, 60, -8, 0, 12, 72, 4, -4, 0, -84, 0, -74, 32, 0, 1, -72, 0, -22, 0, 12, -30, -24, 10, 0, -4, 12, -32, 60, 0, -82, 4, 10, 18, 0, 8, 56, 18, 36, 0, -12, -2, -64, -12, 0, -42, 18, -24, -12, 0, -16, 0, -30, -12, 0, 16, 24, 0, -60, 0, -16, -20, 52, -10, 0, -40, -44, -12, 0, 0, 10, 24, -44, -52, 0, -40, 66, -8, 56, 0, 0, -4, -60, -48, 0, 0, 10, 18, -12, 0, -40, 12, 8, 24, 0, 1, -38, -2, -4, 0, -24, -44, 17, 0, 0, -18, -24, 6, -46, 0, -24, -8, 48, -6, 0, 6, -20, 12, 48, 0, 88, -50, 24, -4, 0, -20, 0, -1, 48, 0, 24, 16, -26, -32, 0, 18, 0, 2, -72, 0, -10, 24, 24, 8, 0, -22, 48, 6, 30, 0, -8, -2, 4, 0, 0, -24, -40, 22, -4, 0, 6, 24, -8, -42, 0, -18, 24, 6, 56, 0, 0, 16, 0, -40, 0, 0, 6, 18, -66, 0, 0, -44, -60, 0, 0, 44, 4, 0, 16, 0, 48, -2, -14, -16, 0, -23, -24, -12, 16, 0, 0, 54, 14, -6, 0, 44, 76, 4, -66, 0, 56, -48, -32, 10, 0, -36, 70, -56, 0, 0, 36, 0, -20, -4, 0, -12, -24, 24, 32, 0, -24, -6, -30, 48, 0, -1, 60, 48, 0, 0, -70, 0, 28, -10, 0, 6, -6, -20, -4, 0, -96, -20, -72, -28, 0, 0, -18, -1, 80, 0, -4, 60, 12, 8, 0, 38, 56, 28, -2, 0, 2, -6, 0, 24, 0, -4, -40, 22, 80, 0, -120, -68, 22, 24, 0, 36, -24, 0, -11, 0, -8, -8, 42, -48, 0, -22, -8, 66, 6, 0, 62, 0, -16, -4, 0, 12, 0, 6, -48, 0, 0, 10, -6, 2, 0, 16, -18, -44, -40, 0, 48, -24, 60, 0, 0, -46, 24, 18, -48, 0, -28, 12, -56, 0, 0, -12, 8, 58, -18, 0, 0, 48, -40, -16, 0, -14, -18, 11, 2, 0, -76, -12, -24, 32, 0, 6, 0, 0, 24, 0, -22, 4, 48, -4, 0, 8, 4, -4, -4, 0, -48, 0, -62, -20, 0, -12, -78, -12, -4, 0, -48, 0, -6, 1, 0, -34, -32, -38, 0, 0, 80, 17, -18, -72, 0, -28, -20, -16, 36, 0, 4, 16, 0, 12, 0, -60, 48, -20, 0, 0, 2, -6, -30, -60, 0, -4, 96, -24, 84, 0, 38, -8, -24, 24, 0, 0, 28, -18, 66, 0, 72, 2, -40, -12, 0, 40, -30, 0, -22, 0, -88, -42, 0, 12, 0, 3, 0, -2, 0, 0, 44, 12, -12, 12, 0, -4, 58, -72, -32, 0, 78, 4, -44, -18, 0, -54, -10, 4, -58, 0, -84, 0, 72, -4, 0, 36, 0, 2, -6, 0, 1, 58, -72, -4, 0, 12, 72, 4, -8, 0, -72, 4, 32, 0, 0, -16, 90, 80, 72, 0, 6, -12, -84, 0, 0, -22, -60, 40, 12, 0, 0, 4, -32, 12, 0, 12, 94, 0, 20, 0, 36, -4, -20, -24, 0, 36, -12, 0, -80, 0, -32, 10, -10, -64, 0, 32, 16, 18, -36, 0, 0, -8, 60, -1, 0, 6, -2, -6, 8, 0, -6, 28, -38, -10, 0, -10, 36, -12, -8, 0, 24, 0, 0, 0, 0, 6, 52, -18, 0, 0, -36, -18, 22, 24, 0, 8, -24, -32, 0, 0, 48, 4, -56, 2, 0, 12, 0, 8, -56, 0, 110, 22, 24, 12, 0, 0, 60, 66, 10, 0, 2, -40, 14, 8, 0, -52, 3, -8, -18, 0, 48, -8, 0, -10, 0, 6, -24, -24, 2, 0, -2, -120, 0, 12, 0, 16, 16, 4, -18, 0, -40, -6, 0, 66, 0, 12, -2, 46, 8, 0, 24, -8, -6, 30, 0, 36, 0, 24, -34, 0, 24, -2, 120, 4, 0, 0, -20, 6, 30, 0, -108, 46, 12, 0, 0, -48, 8, 6, -24, 0, 48, 11, -32, 2, 0, 6, 6, 28, 0, 0, -17, -54, 24, 20, 0, 44, -16, 4, 12, 0, -22, 18, 32, 6, 0, -4, 16, 0, -40, 0, -6, 0, -16, -12, 0, 0, -24, 4, 24, 0, 68, -6, 90, 56, 0, 12, -24, 36, 24, 0, 16, -26, 12, 26, 0, 4, -8, -20, 32, 0, 4, 0, 16, -40, 0, 12, 42, -48, -28, 0, -24, 1, 66, 2, 0, 40, 16, 0, 0, 0, -16, -24, 10, 0, 0, 20, 22, 56, 48, 0, -6, 18, -92, 4, 0, 0, 42, 2, 62, 0, 0, -2, -30, -12, 0, -22, 120, 48, 72, 0, -8, -14, 0, 3, 0, -24, -26, -12, -4, 0, 48, -12, 46, 0, 0, -10, 16, 16, -52, 0, 56, 0, -30, 48, 0, -36, 0, -10, 42, 0, -40, 24, 72, -24, 0, -4, 0, 33, 24, 0, 42, -20, -16, 1, 0, -66, -48, -20, -4, 0, 0, 4, 102, 0, 0, 24, -32, 6, -180, 0, 18, -50, -32, 2, 0, 72, -32, -12, 96, 0, 0, 1, 36, 16, 0, 12, -18, -80, 2, 0, 56, 48, 0, 12, 0, 2, -84, 0, -24, 0, 56, -20, -8, -8, 0, 12, -86, -44, 18, 0, 42, 84, -86, -30, 0, 0, 6, 16, -17, 0, 104, 8, -60, 8, 0, -1, -2, 18, 42, 0, 40, 0, -72, -6, 0, -22, 18, 0, 0, 0, 72, -12, 100, -8, 0, 38, -30, 8, 0, 0, -96, 6, -24, 8, 0, 20, 32, -18, -2, 0, -52, 0, -6, -48, 0, 0, -50, -50, 36, 0, -78, 24, -32, 12, 0, -42, 24, -48, 64, 0, 6, 24, 0, -24, 0, 30, 12, 72, -24, 0, 16, 0, 138, 14, 0, 16, 70, 3, 48, 0, -6, -8, 0, 20, 0, -10, -66, 0, 40, 0, -64, -12, 48, -2, 0, 2, 0, -2, 30, 0, -144, 4, 60, -60, 0, 13, 88, 16, 8, 0, 0, 64, -16, 0, 0, 4, -72, -8, 0, 0, -36, 40, 6, -4, 0, -34, -36, -24, -96, 0, 0, -8, -8, 0, 0, 24, -26, -4, 84, 0, 96, 12, 70, -4, 0, -4, -6, 0, -6, 0, 6, 54, -60, -32, 0, 26, 0, 6, -18, 0, -70, -24, 40, 12, 0, 20, -40, 34, 20, 0, -20, 24, -88, -22, 0, 66, 84, -12, -4, 0, 104, 0, -48, 80, 0, 12, 22, 48, 108, 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": "770.2.a.f", "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], [2], [1], [0], [-2], [-1], [-1], [1], [0], [-1], [2], [4], [1], [0], [1], [0], [-1], [-4], [0], [-2], [1], [0], [-2], [0], [-4], [-4], [-1], [-6], [0], [-10], [-1], [-2], [0], [0], [1], [-2], [4], [8], [0], [-12], [2], [4], [-1], [0], [0], [-6], [2], [1], [0], [0], [4], [6], [4], [0], [1], [-8], [6], [-6], [0], [-4], [10], [-1], [1], [0], [2], [4], [0], [0], [0], [12], [-1], [4], [2], [0], [-4], [1], [-8], [8], [0], [-11], [12], [-12], [-2], [0], [-4], [-12], [1], [18], [0], [-4], [0], [-20], [6], [0], [-2], [10], [-1], [-1], [0]]}