# Stored data for newform 1386.2.a.j, downloaded from the LMFDB on 23 April 2024.
{"label": "1386.2.a.j", "space_label": "1386.2.a", "level": 1386, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679890282, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1457624846876464821, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [0, 1]], [13, [-6, 1]], [17, [4, 1]]], "qexp_display": "q+q^{2}+q^{4}-q^{7}+q^{8}+q^{11}+6q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5544, "fricke_eigenval": -1, "atkin_lehner_string": "--+-", "analytic_conductor": 11.06726572014946, "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": [1386, 1, [155, 199, 1135], [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": "0.021", "prec": 17}, {"__RealLiteral__": 0, "data": "0.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.055", "prec": 17}, {"__RealLiteral__": 0, "data": "1.911", "prec": 17}, {"__RealLiteral__": 0, "data": "0.115", "prec": 17}, {"__RealLiteral__": 0, "data": "4.704", "prec": 17}], "related_objects": ["EllipticCurve/Q/1386/j"], "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, 0, 0, -1], "traces": [0, 1, 1, 0, 1, 0, 0, -1, 1, 0, 0, 1, 0, 6, -1, 0, 1, -4, 0, 6, 0, 0, 1, 4, 0, -5, 6, 0, -1, -6, 0, -2, 1, 0, -4, 0, 0, 10, 6, 0, 0, 4, 0, 8, 1, 0, 4, 6, 0, 1, -5, 0, 6, 10, 0, 0, -1, 0, -6, 0, 0, -2, -2, 0, 1, 0, 0, -4, -4, 0, 0, -16, 0, 12, 10, 0, 6, -1, 0, -16, 0, 0, 4, 2, 0, 0, 8, 0, 1, 6, 0, -6, 4, 0, 6, 0, 0, -6, 1, 0, -5, 14, 0, -14, 6, 0, 10, -8, 0, -14, 0, 0, -1, 2, 0, 0, -6, 0, 0, 4, 0, 1, -2, 0, -2, 0, 0, -16, 1, 0, 0, 22, 0, -6, -4, 0, -4, -22, 0, -14, 0, 0, -16, 6, 0, 0, 12, 0, 10, 6, 0, 0, 6, 0, -1, 0, 0, 12, -16, 0, 0, -4, 0, -4, 4, 0, 2, -12, 0, 23, 0, 0, 8, -6, 0, 5, 1, 0, 6, -4, 0, 8, -6, 0, 4, 0, 0, -4, 6, 0, 0, 12, 0, -6, -6, 0, 1, -6, 0, -14, -5, 0, 14, 6, 0, 0, -14, 0, 6, 6, 0, 8, 10, 0, -8, 0, 0, 2, -14, 0, 0, -24, 0, -26, -1, 0, 2, -18, 0, 8, 0, 0, -6, -22, 0, 0, 0, 0, 4, -8, 0, -20, 1, 0, -2, 0, 0, 36, -2, 0, 0, 0, 0, 4, -16, 0, 1, -10, 0, -10, 0, 0, 22, 0, 0, 0, -6, 0, -4, 24, 0, 12, -4, 0, -22, -5, 0, -6, -14, 0, 0, -14, 0, 18, -16, 0, 6, -4, 0, -1, 0, 0, 12, -14, 0, 0, 10, 0, 6, 24, 0, -8, 0, 0, 6, 0, 0, -30, -1, 0, 0, 18, 0, 6, 12, 0, -16, 18, 0, -6, 0, 0, -4, -24, 0, -30, -4, 0, 4, -6, 0, -4, 2, 0, -12, 0, 0, 22, 23, 0, 0, -2, 0, -1, 8, 0, -6, -16, 0, 26, 5, 0, 1, 6, 0, 0, 6, 0, -4, -8, 0, 17, 8, 0, -6, 0, 0, -2, 4, 0, 0, -10, 0, -10, -4, 0, 6, -36, 0, -20, 0, 0, 12, 34, 0, 0, -6, 0, -6, 30, 0, -16, 1, 0, -6, 0, 0, -4, -14, 0, -5, -30, 0, -12, 14, 0, 6, 10, 0, 16, 0, 0, -14, 0, 0, 0, 6, 0, 6, -4, 0, -10, 8, 0, 10, 20, 0, 2, -8, 0, 0, -40, 0, 26, 2, 0, -14, 24, 0, -20, 0, 0, -24, 4, 0, 0, -26, 0, -1, 34, 0, 4, 2, 0, -18, 0, 0, 10, 8, 0, 0, -2, 0, 16, -6, 0, -22, -28, 0, 4, 0, 0, 0, 8, 0, -30, 4, 0, -8, 24, 0, 60, -20, 0, 1, 0, 0, 20, -2, 0, 0, -12, 0, 24, 36, 0, -2, 16, 0, 36, 0, 0, 0, -12, 0, 0, 4, 0, -16, 16, 0, -12, 1, 0, -10, 0, 0, 6, -10, 0, 0, -2, 0, -6, 22, 0, 0, 8, 0, -7, 0, 0, -6, 24, 0, 0, -4, 0, 24, 1, 0, 30, 12, 0, -4, 0, 0, 12, -22, 0, -5, -36, 0, 16, -6, 0, -14, 2, 0, 48, 0, 0, -14, 22, 0, 0, 18, 0, -16, 42, 0, -28, 6, 0, -4, -20, 0, -34, -1, 0, 0, -2, 0, 10, 12, 0, -14, -24, 0, -12, 0, 0, 10, -20, 0, 0, 6, 0, 24, 0, 0, -32, -8, 0, 0, 0, 0, 24, 6, 0, 0, 36, 0, -26, -30, 0, -1, 30, 0, 4, 0, 0, 18, -6, 0, 25, 6, 0, 12, -40, 0, 4, -16, 0, 18, 0, 0, 6, -6, 0, 0, -26, 0, -24, -4, 0, -24, 34, 0, 0, -30, 0, -4, 6, 0, 0, 4, 0, -6, -16, 0, -32, -4, 0, 2, 0, 0, -24, -12, 0, 0, -2, 0, -26, 22, 0, 23, -30, 0, 6, 0, 0, -2, -36, 0, 0, -1, 0, 8, 60, 0, 0, -6, 0, -16, 0, 0, -16, 26, 0, 5, 46, 0, 60, 1, 0, 6, -14, 0, 26, 0, 0, 6, -8, 0, 0, -4, 0, -8, 50, 0, 14, 17, 0, 8, 30, 0, 22, -6, 0, 0, -32, 0, 6, -2, 0, 4, -4, 0, -52, 0, 0, -10, -16, 0, 0, -10, 0, -4, 8, 0, 28, 6, 0, -36, 0, 0, -14, -20, 0, 0, -8, 0, 14, 12, 0, 34, 0, 0, 16, 0, 0, -6, -20, 0, 10, -6, 0, 30, 24, 0, -16, -16, 0, 1, 0, 0, 22, -6, 0, 0, -2, 0, -12, -4, 0, -14, 20, 0, -24, -5, 0, -30, 12, 0, 0, -12, 0, 14, -18, 0, 18, 6, 0, 10, 0, 0, 48, 16, 0, 0, 38, 0, 28, -14, 0, 0, 12, 0, 24, 0, 0, 6, -4, 0, 0, 6, 0, -4, 42, 0, 7, -10, 0, 8, 0, 0, -1, 10, 0, 20, 40, 0, -42, 2, 0, -8, -24, 0, 0, 0, 0, -40, -12, 0, 0, 26, 0, 2, -16, 0, -24, -14, 0, 24, 0, 0, 18, -20, 0, 0, 50, 0, -28, -24, 0, 4, -24, 0, 16, 0, 0, -26, 36, 0, 0, -1, 0, 34, 12, 0, -40, 4, 0, 2, 0, 0, 20, -18, 0, 0, 12, 0, 2, 10, 0, 8, -22, 0, -8, 0, 0, -2, -96, 0, -50, 16, 0, -6, -10, 0, 6, -22, 0, -28, 0, 0, -12, 4, 0, 0, 18, 0, 16, 0, 0, 8, -12, 0, 72, -30, 0, 4, -18, 0, 0, -8, 0, 24, 22, 0, -27, 60, 0, -20, 0, 0, 24, 1, 0, 0, -20, 0, 14, 20, 0, -2, 46, 0, 6, 0, 0, -12, -10, 0, 0, 24, 0, 36, 32, 0, 16, -2, 0, 16, 0, 0, -46, 36, 0, 0, -6, 0, 0, 0, 0, -12, 60, 0, 26, 0, 0, 4, 48, 0, 0, -16, 0, 16, 32, 0, -20, -12, 0, 1, -20, 0, -96, -10, 0, 0, 0, 0, -26, 6, 0, -10, 8, 0, -30, 0, 0, -2, -6, 0, 0, -6, 0, 22, -14, 0, -4, 0, 0, 8, 0, 0, 0, -7, 0, 0, 14, 0, -28, -6, 0, 24, -6, 0, -14, 0, 0, -4, -60, 0, -40, 24, 0, 1, 12, 0, 24, 30, 0, 12, 0, 0, 32, -4, 0, 0, -10, 0, -46, 12, 0, -22, 24, 0, -12, -5, 0, -36, -24, 0, 0, 16, 0, -6, -8, 0, 14, -14, 0, 2, 0, 0, 46, 48, 0, 0, 0, 0, -4, -14, 0, 22, 4, 0, 14, 0, 0, 18, -14, 0, 0, -16, 0, 42, 16, 0, 4, -28, 0, 6, 0, 0, -20, -4, 0, -20, -60, 0, -10, -34, 0, -1, 36, 0, -12, 0, 0, -2, 40, 0, 0, 10, 0, 12, 12, 0, 12, -14, 0, -24, -30, 0, -8, -12, 0, 0, -28, 0, -23, 10, 0, -20, -28, 0, -24, 0, 0, 6, 54, 0, 0, 24, 0, 0, -14, 0, 38, -32, 0, -8, 0, 0, 64, 0, 0, 0, 6, 0, 18, 24, 0, 6, -60, 0, 40, 0, 0, 36, 44, 0, -5, -26, 0, -30, -66, 0, -28, -1, 0, 30, 0, 0, -4, 4, 0, 0, -48, 0, 2, 18, 0, -6, -48, 0, 44, 25, 0, 6, 4, 0, 0, 12, 0, -40, -12, 0, -36, 4, 0, -16, 0, 0, -8, 18, 0, 0, -8, 0, -24, 6, 0, -6, -48, 0, -14, 0, 0, -26, 36, 0, 0, -24, 0, -4, -34, 0, 44, -24, 0, 34, 0, 0, -50, 0, 0, -30, 12, 0, 56, -4, 0, 6, -48, 0, 4, 0, 0, 4, 84, 0, 0, -6, 0, -16, -68, 0, 70, -32, 0, -4, -50, 0, -32, 2, 0, 0, 1, 0, -16, -24, 0, -12, -12, 0, -84, 0, 0, -2, 64, 0, 0, -26, 0, 22, -96, 0, 6, 23, 0, -30, 0, 0, 0, 6, 0, 0, -48, 0, -36, -2, 0, -36, 8, 0, 63, 0, 0, -1, 46, 0, 0, 8, 0, 60, 6, 0, -34, 0, 0, -6, 0, 0, 72, -16, 0, 0, -48, 0, 14, -16, 0, 26, -16, 0, -28, 5, 0, 46, -8, 0, 0, 60, 0, 1, -6, 0, -8, 6, 0, -14, 0, 0, -84, 26, 0, 0, -6, 0, -72, 6, 0, -8, 30, 0, 74, 0, 0, -4, -54, 0, 0, -8, 0, 50, -40, 0, 22, 14, 0, 17, 0, 0, 12, 8, 0, 30, -64, 0, -6, 22, 0, -6, -12, 0, 38, 0, 0, -32, -6, 0, 0, 6, 0, -2, 12, 0, -16, 4, 0, -4, 0, 0, -8, -52, 0, 0, -74, 0, -12, -10, 0, -16, -12, 0, -6, 0, 0, -10, 6, 0, 0, -4, 0, 8, -44, 0, -96, 28, 0, 6, 0, 0, -22, -36, 0, 0, 30, 0, -24, -14, 0, -20, 40, 0, -2, 0, 0, -8, -28, 0, 10, 14, 0, 12, -14, 0, -34, 34, 0, 0, 0, 0, -60, 16, 0, 0, -16, 0, 2, -6, 0, -20, 24, 0, 70, 10, 0, -6, 72, 0, 0, 30, 0, 24, -44, 0, 26, -16, 0, -16, 0, 0, -30, 1, 0, 0, 16, 0, 6, 22, 0, -6, 12, 0, -4, 0, 0, -2, -48, 0, 0, -12, 0, -4, 18, 0, 80, -14, 0, 20, 0, 0, 62, -24, 0, -5, -36, 0, -8, -30, 0, 12, -72, 0, 10, 0, 0, -12, -54, 0, 0, 14, 0, -18, 72, 0, 58, 18, 0, 6, 0, 0, 18, 10, 0, 0, 22, 0, -64, 48, 0, 16, -48, 0, 6, 0, 0, 38, -20, 0, 0, 28, 0, -14, 24, 0, -96, 0, 0, 12, 0, 0, -76, 24, 0, 0, 0, 0, -16, 6, 0, -4, -12, 0, -34, 0, 0, 6, 8, 0, 20, -4, 0, 42, 48, 0, -25, 7, 0, -10, 0, 0, 20, 8, 0, 0, 36, 0, 74, -1, 0, 10, 18, 0, 16, 20, 0, 40, 132, 0, 0, -42, 0, 2, 34, 0, 0, -8, 0, -24, 0, 0, -56, 0, 0, 0, 50, 0, 4, -40, 0, -12, 12, 0, -36, 0, 0, 26, 10, 0, 0, 2, 0, -16, 60, 0, -60, -24, 0, -14, 0, 0, 12, 24, 0, 0, 56, 0, 14, 18, 0, -20, 0, 0, -8, 0, 0, 50, 32, 0, 0, -28, 0, -24, 12, 0, -4, 4, 0, -24, 80, 0, -60, 16, 0, 0, -132, 0, 70, -26, 0, 36, 12, 0, 30, 0, 0, -1, -4, 0, 0, 34, 0, 12, 10, 0, -46, -40, 0, 4, 0, 0, -84, 2, 0, 0, 50, 0, 10, 20, 0, -18, -64, 0, 32, 0, 0, 12, 40, 0, -60, 2, 0, 10, 0, 0, 40, 8, 0, -22, 0, 0, -12, -8, 0, 0, 0, 0, -36, -2, 0, -96, 8, 0, 21, -50, 0, 16, 56, 0, 0, -6, 0, -10, 23, 0, 2, 6, 0, -22, 0, 0, -2, -28, 0, 0, -36, 0, -26, -12, 0, 4, 46, 0, 82, 0, 0, 18, -24, 0, 0, 16, 0, 0, -40, 0, 4, 8, 0, -12, 0, 0, -12, 72, 0, -30, 18, 0, -6, 4, 0, -18, -4, 0, 8, 0, 0, -8, 66, 0, 0, 24, 0, 22, 84, 0, -8, -27, 0, 60, 5, 0, 24, -20, 0, 0, 26, 0, 34, 24, 0, 1, 36, 0, 6, 0, 0, -20, 24, 0, 0, 14, 0, 20, -18, 0, 74, -2, 0, 46, 0, 0, -84, 6, 0, 0, 100, 0, 0, -12, 0, -10, 14, 0, -4, 0, 0, 24, 32, 0, 80, 36, 0, 32, 70, 0, -18, 16, 0, -2, 0, 0, 50, 16, 0, 0, 8, 0, 80, -46, 0, 36, -18, 0, 24, 0, 0, -6, -68, 0, 0, 0, 0, 0, 4, 0, 28, -12, 0, 60, 0, 0, -2, 26, 0, 0, 48, 0, 1, 4, 0, 48, -60, 0, -16, 0, 0, -16, -48, 0, 0, 16, 0, 32, -80, 0, 72, -20, 0, -12, 0, 0, 24, 1, 0, -20, 14, 0, -54, -96, 0, -10, -4, 0, 96, 0, 0, 0, 16, 0, 0, -26, 0, 6, 46, 0, -84, -10, 0, 8, -10, 0, 8, -30, 0, 0, -62, 0, -44, -2, 0, -6, -48, 0, -60, 0, 0, -6, -24, 0, 0, 22, 0, -14, 0, 0, 12, -4, 0, 0, 0, 0, 8, 8, 0, 0, 48, 0, 62, 0, 0, -7, -72, 0, -24, 0, 0, 14, -6, 0, 0, -28, 0, -6, -30, 0, -66, 24, 0, -6, 0, 0, 58, -14, 0, 0, -62, 0, -68, -4, 0, -60, 12, 0, 30, -40, 0, 24, 46, 0, 0, 1, 0, 12, 64, 0, 54, 24, 0, 30, 0, 0, -6, 12, 0, 0, -72, 0, 40, 32, 0, -4, -18, 0, -20, 0, 0, -10, 0, 0, 0, -46, 0, 12, -14, 0, -6, -22, 0, 24, 0, 0, 60, -12, 0, -5, 32, 0, -68, -36, 0, -24, 16, 0, -11, 0, 0, 16, 22, 0, 0, -6, 0, -8, -18, 0, 46, 14, 0, -14, -30, 0, -88, 2, 0, 0, -24, 0, 6, 46, 0, 48, -58, 0, 4, 0, 0, 0, 6, 0, 0, -4, 0, -14, -36, 0, 52, 22, 0, 4, 0, 0, -20, 14, 0, 0, 24, 0, -24, 18, 0, -14, 76, 0, 10, 0, 0, -16, -8, 0, 30, 42, 0, 16, 80, 0, -14, 4, 0, -28, 0, 0, 56, 6, 0, 0, 96, 0, 6, -20, 0, -4, 62, 0, 6, -20, 0, -60, 6, 0, 0, -10, 0, -34, 34, 0, 76, -1, 0, 36, 0, 0, 4, -12, 0, 0, 8, 0, 56, -2, 0, 40, -24, 0, 88, 0, 0, 10, -34, 0, 0, 12, 0, 12, -68, 0, -48, 12, 0, -14, 0, 0, 20, -24, 0, -30, -64, 0, 48, -8, 0, -12, 52, 0, -22, 0, 0, -28, 56, 0, 0, -23, 0, 10, -56, 0, 50, -20, 0, -28, 0, 0, 86, -24, 0, 0, 74, 0, -8, 6, 0, 54, 2, 0, 50, 0, 0, 24, 32, 0, 0, 0, 0, -14, 38, 0, 1, 38, 0, -32, 0, 0, -12, -8, 0, 0, -90, 0, -96, 64, 0, 0, -18, 0, 0, 0, 0, 6, 88, 0, 30, 18, 0, 24, 16, 0, -24, 6, 0, -60, 0, 0, 34, 40, 0, 0, 56, 0, -26, 36, 0, 44, -40, 0, 32, -5, 0, -26, -26, 0, 0, -30, 0, -66, 4, 0, -32, -28, 0, -1, 0, 0, -4, 30, 0, 0, -6, 0, -14, -4, 0, 4, -30, 0, -40, 0, 0, -48, 72, 0, 0, 2, 0, 18, 132, 0, 60, -6, 0, -48, 0, 0, -18, 44, 0, 25, -8, 0, 48, 6, 0, 4, -56, 0, -36, 0, 0, 12, 8, 0, 0, -40, 0, -12, 8, 0, 34, -36, 0, 4, -70, 0, -17, -16, 0, 0, 36, 0, -24, -8, 0, 18, 0, 0, 52, 0, 0, -8, 48, 0, 0, -24, 0, 6, -54, 0, -56, -6, 0, -48, 0, 0, -50, -14, 0, 0, -36, 0, -22, -26, 0, 36, 0, 0, 2, 0, 0, -24, -4, 0, 70, -4, 0, -34, -76, 0, -36, 44, 0, -24, 0, 0, -84, 34, 0, 0, 56, 0, -96, -50, 0, 0, 10, 0, 8, -30, 0, 12, -132, 0, 0, 56, 0, -4, -44, 0, 10, 6, 0, -48, 0, 0, -20, 4, 0, 0, 84, 0, -16, 4, 0, 84, -160, 0, -8, 0, 0, -6, 6, 0, 0, -16, 0, -68, 36, 0, -84, 70, 0, -32, 0, 0, 32, -4, 0, -50, -20, 0, 20, -32, 0, 2, -90, 0, 58, 0, 0, 1, -30, 0, 0, -16, 0, -24, -48, 0, -20, -12, 0, -12, 40, 0, -8, -84, 0, 0, -34, 0, -56, -2, 0, 64, -58, 0, -38, 0, 0, -26, -84, 0, 0, 22, 0, -96, 92, 0, 120, 6, 0, 23, 0, 0, 8, -30, 0, 0, 24, 0, -66, 0, 0, 6, 36, 0, 56, 0, 0, -48, -30, 0, 70, -36, 0, -2, 58, 0, -20, -36, 0, 8, 0, 0, 16, 63, 0, 0, -90, 0, 48, -1, 0, 46, -16, 0, -50, 0, 0, 8, -18, 0, 0, 60, 0, 6, -12, 0, 0, -34, 0, 0, 0, 0, 88, -6, 0, 0, 16, 0, 0, 72, 0, -16, -38, 0, 4, 0, 0, -48, 4, 0, 0, 14, 0, -16, 74, 0, 52, 26, 0, -16, 0, 0, 38, -28, 0, 5, 86, 0, -44, 46, 0, -8, 30, 0, 47, 0, 0, 60, 36, 0, 0, 1, 0, -6, -84, 0, 12, -8, 0, 6, -10, 0, -10, -14, 0, 0, 36, 0, -92, -84, 0, 26, 18, 0, 48, 0, 0, -6, 44, 0, 0, -72, 0, 6, -10, 0, -28, -8, 0, 30, 0, 0, -50, 74, 0, 0, -28, 0, -16, -4, 0, -54, -12, 0, 0, 0, 0, -8, -92, 0, 0, 50, 0, -40, -72, 0, -32, 22, 0, 14, 0, 0, 30, 17, 0, 0, 0, 0, 0, 12, 0, 8, 66, 0, -156, 30, 0, -64, 24, 0, 0, -6, 0, 22, 38, 0, -64, -6, 0, -12, 0, 0, 102, 38, 0, 0, -64, 0, -160, -32, 0, -6, 48, 0, -84, 0, 0, 6, 4, 0, 0, -2, 0, 12, 66, 0, 24, -16, 0, 4, 0, 0, 10, -4, 0, 0, -108, 0, 30, -8, 0, -52, -4, 0, 24, 0, 0, -74, -60, 0, 0, -12, 0, -10, 10, 0, 28, -16, 0, -12, -20, 0, 48, -6, 0, 0, 12, 0, 72, -10, 0, 6, 84, 0, -2, 0, 0, -4, 48, 0, 0, 8, 0, -44, 88, 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.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], [0], [0], [-1], [1], [0], [0], [1], [0], [6], [-1], [0], [1], [-4], [0], [6], [0], [0], [1], [4], [0], [-5], [6], [0], [-1], [-6], [0], [-2], [1], [0], [-4], [0], [0], [10], [6], [0], [0], [4], [0], [8], [1], [0], [4], [6], [0], [1], [-5], [0], [6], [10], [0], [0], [-1], [0], [-6], [0], [0], [-2], [-2], [0], [1], [0], [0], [-4], [-4], [0], [0], [-16], [0], [12], [10], [0], [6], [-1], [0], [-16], [0], [0], [4], [2], [0], [0], [8], [0], [1], [6], [0], [-6], [4], [0], [6], [0], [0], [-6], [1], [0], [-5]]}