# Stored data for newform 4275.2.a.o, downloaded from the LMFDB on 24 April 2024.
{"label": "4275.2.a.o", "space_label": "4275.2.a", "level": 4275, "weight": 2, "hecke_orbit": 15, "hecke_orbit_code": 63050394816745651, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2038391789413971964, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 1]], [7, [-2, 1]], [11, [-2, 1]]], "qexp_display": "q+q^{2}-q^{4}+2q^{7}-3q^{8}+2q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 17100, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 34.136046864097366, "hecke_ring_index": 1, "level_radical": 285, "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": "0.026", "prec": 17}, "analytic_rank_proved": true, "char_values": [4275, 1, [1901, 1027, 1351], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5, 19], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.010", "prec": 17}, {"__RealLiteral__": 0, "data": "0.979", "prec": 17}, {"__RealLiteral__": 0, "data": "0.039", "prec": 17}, {"__RealLiteral__": 0, "data": "1.979", "prec": 17}, {"__RealLiteral__": 0, "data": "0.108", "prec": 17}, {"__RealLiteral__": 0, "data": "5.055", "prec": 17}], "related_objects": ["EllipticCurve/Q/4275/o"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [19, 1]], "trace_display": [1, 0, 0, 2], "traces": [0, 1, 1, 0, -1, 0, 0, 2, -3, 0, 0, 2, 0, 4, 2, 0, -1, 2, 0, -1, 0, 0, 2, -4, 0, 0, 4, 0, -2, -4, 0, 0, 5, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, 10, -2, 0, -4, 12, 0, -3, 0, 0, -4, -2, 0, 0, -6, 0, -4, -4, 0, 2, 0, 0, 7, 0, 0, 16, -2, 0, 0, 0, 0, 2, 0, 0, 1, 4, 0, -8, 0, 0, 0, -12, 0, 0, 10, 0, -6, 0, 0, 8, 4, 0, 12, 0, 0, 16, -3, 0, 0, -14, 0, 8, -12, 0, -2, -12, 0, 10, 0, 0, -2, 14, 0, 0, 4, 0, -4, 4, 0, -7, 2, 0, 0, 0, 0, -4, -3, 0, 0, 14, 0, -2, 16, 0, -6, 6, 0, 8, 0, 0, 0, 8, 0, 0, 2, 0, 0, 18, 0, 24, 3, 0, 4, 0, 0, 18, -8, 0, 0, -8, 0, 6, 0, 0, -12, -8, 0, 3, 0, 0, -10, 18, 0, 0, -2, 0, 0, 12, 0, 10, 8, 0, 12, 0, 0, 4, -12, 0, 0, 18, 0, -4, 16, 0, 3, -2, 0, 12, 0, 0, -14, -8, 0, 0, 8, 0, -4, -2, 0, -12, 2, 0, -12, 0, 0, 0, 10, 0, 0, 8, 0, -24, 10, 0, 14, 12, 0, -14, 0, 0, 12, -18, 0, 0, 4, 0, 4, 6, 0, 26, -7, 0, -2, 0, 0, -4, 0, 0, 0, -22, 0, -8, -4, 0, -17, 22, 0, 0, 0, 0, 14, -16, 0, 0, -2, 0, -16, -4, 0, 12, -2, 0, 6, 0, 0, -22, 8, 0, 0, -28, 0, -26, 0, 0, 8, 0, 0, -13, 0, 0, -2, 26, 0, 0, 0, 0, 18, -16, 0, 20, 24, 0, 1, 0, 0, 0, -4, 0, 0, 18, 0, 14, 18, 0, 8, 14, 0, -8, 0, 0, -8, -2, 0, 0, 6, 0, 0, 24, 0, -28, 12, 0, -8, 0, 0, -16, 3, 0, 0, 0, 0, -20, -30, 0, 18, -28, 0, -18, 0, 0, 10, -2, 0, 0, 0, 0, 12, 2, 0, 1, 10, 0, -8, 0, 0, -10, 4, 0, 0, -4, 0, -4, 4, 0, -36, -16, 0, -20, 0, 0, 18, 8, 0, 0, -4, 0, -16, 30, 0, -8, 9, 0, -2, 0, 0, 2, 12, 0, 0, -12, 0, 0, 14, 0, -8, 0, 0, -26, 0, 0, -8, -8, 0, 0, 20, 0, -2, 26, 0, -34, -12, 0, 6, 0, 0, 4, 12, 0, 0, 4, 0, 36, 0, 0, -10, 4, 0, -40, 0, 0, 8, 16, 0, 0, -24, 0, 14, 0, 0, 0, -14, 0, 12, 0, 0, 14, -14, 0, 0, -6, 0, 22, 4, 0, -18, 16, 0, 32, 0, 0, 12, 20, 0, 0, -4, 0, 6, -38, 0, 0, 26, 0, 7, 0, 0, -8, -6, 0, 0, 6, 0, -8, -4, 0, 0, 0, 0, 32, 0, 0, -22, -8, 0, 0, -8, 0, 4, 24, 0, 4, -11, 0, 22, 0, 0, 24, 0, 0, 0, 12, 0, 28, -14, 0, -16, 0, 0, -7, 0, 0, 2, 0, 0, 0, -48, 0, -4, -6, 0, -42, 12, 0, 10, 0, 0, -16, -6, 0, 0, 4, 0, -16, -22, 0, -8, -38, 0, 40, 0, 0, -28, 12, 0, 0, -26, 0, 0, 0, 0, -24, -8, 0, 0, 0, 0, -42, -13, 0, 0, -24, 0, -4, -6, 0, 26, -32, 0, 0, 0, 0, 0, -18, 0, 0, -18, 0, -16, -36, 0, 30, 20, 0, -24, 0, 0, 16, -5, 0, 0, 48, 0, 18, 0, 0, -12, -6, 0, 16, 0, 0, 18, 0, 0, 0, 14, 0, -18, 0, 0, 48, 24, 0, 14, 0, 0, -12, -8, 0, 0, 24, 0, -26, 8, 0, -2, -24, 0, -8, 0, 0, -6, -18, 0, 0, 0, 0, 24, -16, 0, 18, -28, 0, 36, 0, 0, 16, 8, 0, 0, 4, 0, -24, -16, 0, -3, -50, 0, 32, 0, 0, 0, 12, 0, 0, -20, 0, -10, -8, 0, -16, -18, 0, -28, 0, 0, 0, -18, 0, 0, 34, 0, 0, 14, 0, -2, -28, 0, 18, 0, 0, 0, 0, 0, 0, -12, 0, 2, -42, 0, 16, 1, 0, -10, 0, 0, 14, -24, 0, 0, 20, 0, -34, -10, 0, -20, 32, 0, 4, 0, 0, -4, -8, 0, 0, -4, 0, -4, -24, 0, 0, -12, 0, -16, 0, 0, -10, -20, 0, 0, -6, 0, 20, -18, 0, 8, -16, 0, -46, 0, 0, 4, 14, 0, 0, -48, 0, 30, 0, 0, 0, -8, 0, 3, 0, 0, -28, 2, 0, 0, 28, 0, 8, 2, 0, -12, -14, 0, 24, 0, 0, -12, 4, 0, 0, 0, 0, 42, -2, 0, 4, 8, 0, 0, 0, 0, -10, -26, 0, 0, -6, 0, 14, -24, 0, -8, 36, 0, -38, 0, 0, 28, -6, 0, 0, 2, 0, 26, -24, 0, -13, -34, 0, 12, 0, 0, -14, 2, 0, 0, 0, 0, -10, 4, 0, 36, 10, 0, -12, 0, 0, 4, 40, 0, 0, 36, 0, 0, -16, 0, 64, -30, 0, 4, 0, 0, -12, -40, 0, 0, 10, 0, 46, -8, 0, 16, -24, 0, -8, 0, 0, 24, -12, 0, 0, -6, 0, 0, 0, 0, -4, 0, 0, -42, 0, 0, -52, -12, 0, 0, 0, 0, -24, 14, 0, 14, 28, 0, 32, 0, 0, -6, 0, 0, 0, 22, 0, -20, -10, 0, 3, 18, 0, 16, 0, 0, 42, 32, 0, 0, 60, 0, 0, 4, 0, 20, -52, 0, 8, 0, 0, -12, 46, 0, 0, -6, 0, -38, 12, 0, -31, 0, 0, -26, 0, 0, -34, 21, 0, 0, 24, 0, 16, -8, 0, -2, 18, 0, 0, 0, 0, 6, 16, 0, 0, -8, 0, 4, -40, 0, 8, 0, 0, 0, 0, 0, 2, 32, 0, 0, 16, 0, -8, 22, 0, -8, 2, 0, -38, 0, 0, 8, 58, 0, 0, 12, 0, 24, -24, 0, -10, 4, 0, 23, 0, 0, -32, -22, 0, 0, -46, 0, 30, 24, 0, 0, 4, 0, 0, 0, 0, 12, 36, 0, 0, 28, 0, -42, 54, 0, 0, 16, 0, 0, 0, 0, 48, -7, 0, 0, -30, 0, 40, 6, 0, 0, 32, 0, 14, 0, 0, -16, 0, 0, 0, 4, 0, -6, -48, 0, -48, -42, 0, -12, 0, 0, 2, 14, 0, 0, 0, 0, -28, -16, 0, -18, 38, 0, 36, 0, 0, 4, -28, 0, 0, -16, 0, 22, 10, 0, -28, -24, 0, -38, 0, 0, 0, 40, 0, 0, 4, 0, -36, 28, 0, 12, 12, 0, 14, 0, 0, 26, 16, 0, 0, 0, 0, 0, 32, 0, 12, -24, 0, -24, 0, 0, 0, 0, 0, 0, -58, 0, 20, -42, 0, 13, 0, 0, -2, 0, 0, -24, -56, 0, 0, -4, 0, -2, -16, 0, 20, -26, 0, -32, 0, 0, -24, 0, 0, 0, 12, 0, 6, 0, 0, -18, 48, 0, 0, 0, 0, -54, 46, 0, 0, 16, 0, -36, 20, 0, 14, 30, 0, -20, 0, 0, 0, -72, 0, 0, 36, 0, -10, 16, 0, -7, 2, 0, 8, 0, 0, 48, 36, 0, 0, 18, 0, 0, 68, 0, 56, -4, 0, -6, 0, 0, 52, 16, 0, 0, 4, 0, 28, -18, 0, 0, -40, 0, -38, 0, 0, -14, 24, 0, 0, -54, 0, 0, -10, 0, 64, 48, 0, 8, 0, 0, 20, -14, 0, 0, 0, 0, -16, -12, 0, 8, -18, 0, -16, 0, 0, 24, 36, 0, 0, -26, 0, 24, 42, 0, -12, 2, 0, -24, 0, 0, -18, -8, 0, 0, -42, 0, 22, -18, 0, -18, -52, 0, 8, 0, 0, 0, -56, 0, 0, -24, 0, -16, -20, 0, -34, 18, 0, 28, 0, 0, -58, 12, 0, 0, -36, 0, 0, 16, 0, 24, 36, 0, 32, 0, 0, 4, -16, 0, 0, -24, 0, 16, 0, 0, -8, -9, 0, -50, 0, 0, 16, 32, 0, 0, 60, 0, -48, 0, 0, 12, -48, 0, -37, 0, 0, 20, 14, 0, 0, 50, 0, -8, -4, 0, -18, -16, 0, -54, 0, 0, -2, 28, 0, 0, -48, 0, 24, 0, 0, 18, -8, 0, -64, 0, 0, 34, -8, 0, 0, 0, 0, -6, -24, 0, -24, 2, 0, -28, 0, 0, 40, 18, 0, 0, 12, 0, 50, 0, 0, 0, -28, 0, -10, 0, 0, -36, -66, 0, 0, -2, 0, -42, -12, 0, 28, 16, 0, -1, 0, 0, 28, -30, 0, 0, 62, 0, 38, 14, 0, -8, 0, 0, -4, 0, 0, 20, -4, 0, 0, -34, 0, 10, 56, 0, -32, -28, 0, 32, 0, 0, -24, 4, 0, 0, 0, 0, 74, 4, 0, -8, 12, 0, 30, 0, 0, 4, 42, 0, 0, -12, 0, -24, -18, 0, 8, 0, 0, 60, 0, 0, 12, 16, 0, 0, -4, 0, 0, -10, 0, 20, 0, 0, 0, 0, 0, -6, -20, 0, 0, 20, 0, -54, 16, 0, -36, -8, 0, -16, 0, 0, 8, -46, 0, 0, -64, 0, -70, 12, 0, 14, 16, 0, 34, 0, 0, -16, -22, 0, 0, -30, 0, 0, -18, 0, -48, 0, 0, 8, 0, 0, -38, -15, 0, 0, 36, 0, -28, -28, 0, 6, 12, 0, -68, 0, 0, 28, 24, 0, 0, 8, 0, -2, 24, 0, 0, -36, 0, -14, 0, 0, 14, 24, 0, 0, -66, 0, -28, 12, 0, 4, -48, 0, -10, 0, 0, 0, 14, 0, 0, 14, 0, -2, -38, 0, 74, 4, 0, 24, 0, 0, -28, 0, 0, 0, -36, 0, 0, -10, 0, 26, 38, 0, 36, 0, 0, -6, 0, 0, 0, 14, 0, -8, 32, 0, -16, 8, 0, 36, 0, 0, 34, -38, 0, 0, 48, 0, 0, -12, 0, -6, 68, 0, 22, 0, 0, 6, 12, 0, 0, -26, 0, -24, -8, 0, -41, -13, 0, 34, 0, 0, 52, 36, 0, 0, 0, 0, -44, -14, 0, -10, 18, 0, -4, 0, 0, 0, 56, 0, 0, -10, 0, -4, 44, 0, 16, 12, 0, 10, 0, 0, -28, -12, 0, 0, 22, 0, -4, -4, 0, 40, 36, 0, -8, 0, 0, -36, 6, 0, 0, 0, 0, -16, 0, 0, -26, 64, 0, -10, 0, 0, -80, -4, 0, 0, 16, 0, -14, -12, 0, 40, -44, 0, 60, 0, 0, 10, 0, 0, 0, 46, 0, -24, -8, 0, -16, -16, 0, -24, 0, 0, -16, -8, 0, 0, 24, 0, 62, 72, 0, -12, 68, 0, 58, 0, 0, -34, 12, 0, 0, 0, 0, 0, 44, 0, -2, -4, 0, 0, 0, 0, 32, -14, 0, 0, 14, 0, 0, -52, 0, -36, 32, 0, -24, 0, 0, 0, -16, 0, 0, -24, 0, -14, 0, 0, -40, 42, 0, 28, 0, 0, -16, 32, 0, 0, -32, 0, -16, 6, 0, 0, -12, 0, 57, 0, 0, -22, 20, 0, 0, -28, 0, -10, 6, 0, 38, 3, 0, 54, 0, 0, -6, -16, 0, 0, 18, 0, -42, 42, 0, -32, 38, 0, -32, 0, 0, 60, -8, 0, 0, 0, 0, -20, 0, 0, 0, -20, 0, -52, 0, 0, 24, 8, 0, 0, 18, 0, 36, -4, 0, 46, -4, 0, 48, 0, 0, -18, -54, 0, 0, 38, 0, 12, 14, 0, 28, -31, 0, 0, 0, 0, 0, -78, 0, 0, -56, 0, 44, -34, 0, 7, 72, 0, -44, 0, 0, 24, -64, 0, 0, 16, 0, 8, -26, 0, -56, 10, 0, 18, 0, 0, -8, 0, 0, 0, 0, 0, 96, -6, 0, 16, -56, 0, 24, 0, 0, 8, -66, 0, 0, 12, 0, -40, -36, 0, -52, 8, 0, 0, 0, 0, 42, 0, 0, 0, 20, 0, 10, 2, 0, -32, 30, 0, -16, 0, 0, 16, -76, 0, 0, -8, 0, 66, 0, 0, -80, 8, 0, 2, 0, 0, -16, -38, 0, 0, 120, 0, -26, 24, 0, 58, -20, 0, 38, 0, 0, 4, 12, 0, 0, -24, 0, -24, 66, 0, 72, -10, 0, -4, 0, 0, 0, 45, 0, 0, 52, 0, -18, -32, 0, -66, -14, 0, 0, 0, 0, -46, -20, 0, 0, 30, 0, -24, -18, 0, -10, 0, 0, 4, 0, 0, 0, 0, 0, 0, 52, 0, 0, -12, 0, 36, -24, 0, -38, 0, 0, -28, -32, 0, 0, -14, 0, 54, 30, 0, 36, 0, 0, 48, 0, 0, -30, 0, 0, 0, -32, 0, -18, 48, 0, 7, -8, 0, 24, 0, 0, -30, -8, 0, 0, 40, 0, 2, -70, 0, -68, 0, 0, 32, 0, 0, 90, 14, 0, 0, -28, 0, 12, 80, 0, 0, -14, 0, 0, 0, 0, 12, 42, 0, 0, 6, 0, -48, -8, 0, -70, -48, 0, 42, 0, 0, -4, -36, 0, 0, -32, 0, 0, 2, 0, -6, 36, 0, 92, 0, 0, 0, 0, 0, 0, -28, 0, 16, 24, 0, 28, -6, 0, 38, 0, 0, -40, 36, 0, 0, 0, 0, 52, -4, 0, -28, -32, 0, 97, 0, 0, 16, -42, 0, 0, 66, 0, 10, 28, 0, 14, -28, 0, -8, 0, 0, 28, 38, 0, 0, -64, 0, -16, 0, 0, -40, 22, 0, -44, 0, 0, 4, -52, 0, 0, -36, 0, 84, 72, 0, 72, -12, 0, 12, 0, 0, 0, 14, 0, 0, -4, 0, 0, 78, 0, 16, -4, 0, -10, 0, 0, 0, 66, 0, 0, 0, 0, 32, -20, 0, -66, 12, 0, 24, 0, 0, -14, -8, 0, 0, 32, 0, -68, 0, 0, 0, 6, 0, 7, 0, 0, -58, -36, 0, 0, 20, 0, 42, 40, 0, -56, 39, 0, 0, 0, 0, -56, -2, 0, 0, -24, 0, 56, 24, 0, -56, 48, 0, 12, 0, 0, 4, -66, 0, 0, 10, 0, -16, 24, 0, 42, 20, 0, -78, 0, 0, -8, 32, 0, 0, -84, 0, 40, -24, 0, 0, 42, 0, -32, 0, 0, 12, 16, 0, 0, 6, 0, 0, -32, 0, 60, 18, 0, 48, 0, 0, 12, 0, 0, 0, -58, 0, 24, -18, 0, 46, 0, 0, -54, 0, 0, 48, 82, 0, 0, 36, 0, 20, 6, 0, -19, 14, 0, -30, 0, 0, 48, -60, 0, 0, -70, 0, 4, 0, 0, -24, 74, 0, 0, 0, 0, 36, 16, 0, 0, -10, 0, -16, -56, 0, 16, 3, 0, 2, 0, 0, -62, 8, 0, 0, -38, 0, -36, -48, 0, 36, 0, 0, 0, 0, 0, -18, -48, 0, 0, 0, 0, 68, -72, 0, 48, 56, 0, 20, 0, 0, 38, 6, 0, 0, -4, 0, 76, 52, 0, -16, -6, 0, 0, 0, 0, 4, 72, 0, 0, 28, 0, -54, -14, 0, -24, 0, 0, -40, 0, 0, 24, -38, 0, 0, 0, 0, -24, -42, 0, 24, -40, 0, -16, 0, 0, -18, 4, 0, 0, 0, 0, -10, -28, 0, 22, 64, 0, -48, 0, 0, 2, -40, 0, 0, -82, 0, 36, 20, 0, -42, -40, 0, 28, 0, 0, 0, 16, 0, 0, -16, 0, 12, 80, 0, -16, 24, 0, -18, 0, 0, 2, -16, 0, 0, -8, 0, -36, -24, 0, 36, 48, 0, -20, 0, 0, 26, 0, 0, 0, 8, 0, 42, -4, 0, 0, -12, 0, 6, 0, 0, 48, 24, 0, 0, 94, 0, -74, -18, 0, 8, 6, 0, -56, 0, 0, -42, -6, 0, 0, 22, 0, -6, 30, 0, -8, 18, 0, -52, 0, 0, 40, 8, 0, 0, -16, 0, 20, 0, 0, -56, 0, 0, 12, 0, 0, -72, -6, 0, 0, 16, 0, -20, -32, 0, -8, -34, 0, -18, 0, 0, 62, 84, 0, 0, 52, 0, -40, -58, 0, -60, -58, 0, 12, 0, 0, -36, -24, 0, 0, 0, 0, -16, 36, 0, 28, 8, 0, 36, 0, 0, 50, 32, 0, 0, 16, 0, -50, -4, 0, -16, -24, 0, 78, 0, 0, 24, 38, 0, 0, 48, 0, 0, -30, 0, 0, -8, 0, -3, 0, 0, -90, 50, 0, 0, -44, 0, -68, 16, 0, -32, -8, 0, -24, 0, 0, 60, 60, 0, 0, -48, 0, 0, 12, 0, -4, -12, 0, -48, 0, 0, -16, -37, 0, 0, 30, 0, -48, 60, 0, 14, 0, 0, 70, 0, 0, 70, -30, 0, 0, 8, 0, -4, 0, 0, -44, -18, 0, 16, 0, 0, 4, -18, 0, 0, 12, 0, -48, -2, 0, 84, 78, 0, 4, 0, 0, -48, 28, 0, 0, 24, 0, 0, -44, 0, 24, 54, 0, -8, 0, 0, 50, -64, 0, 0, -88, 0, 24, -34, 0, -8, -24, 0, -49, 0, 0, 0, -64, 0, 0, -34, 0, -24, -46, 0, 0, -24, 0, 6, 0, 0, 44, 28, 0, 0, -18, 0, 0, 40, 0, -18, -18, 0, -16, 0, 0, 12, 68, 0, 0, 50, 0, 0, 0, 0, -40, 0, 0, -28, 0, 0, 82, -10, 0, 0, -6, 0, -52, -12, 0, -66, 24, 0, -24, 0, 0, -6, 6, 0, 0, 42, 0, -12, 60, 0, 160, 28, 0, -16, 0, 0, 76, -3, 0, 0, 12, 0, -32, 28, 0, -10, 78, 0, -96, 0, 0, 62, -24, 0, 0, 38, 0, -14, 8, 0, 0, 40, 0, 0, 0, 0, 36, -4, 0, 0, 16, 0, 0, -20, 0, -4, -100, 0, 56, 0, 0, 34, 52, 0, 0, 30, 0, 56, -36, 0, 36, -32, 0, 12, 0, 0, -68, -32, 0, 0, 48, 0, 52, -24, 0, -4, -102, 0, -8, 0, 0, 0, 60, 0, 0, 74, 0, 12, 30, 0, 16, 8, 0, 12, 0, 0, -56, 30, 0, 0, 24, 0, -18, 12, 0, 42, -32, 0, -6, 0, 0, -4, 0, 0, 0, 24, 0, -18, -18, 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": "285.2.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], [0], [-1], [0], [0], [2], [-3], [0], [0], [2], [0], [4], [2], [0], [-1], [2], [0], [-1], [0], [0], [2], [-4], [0], [0], [4], [0], [-2], [-4], [0], [0], [5], [0], [2], [0], [0], [0], [-1], [0], [0], [0], [0], [10], [-2], [0], [-4], [12], [0], [-3], [0], [0], [-4], [-2], [0], [0], [-6], [0], [-4], [-4], [0], [2], [0], [0], [7], [0], [0], [16], [-2], [0], [0], [0], [0], [2], [0], [0], [1], [4], [0], [-8], [0], [0], [0], [-12], [0], [0], [10], [0], [-6], [0], [0], [8], [4], [0], [12], [0], [0], [16], [-3], [0], [0]]}