# Stored data for newform 3381.2.a.b, downloaded from the LMFDB on 24 April 2024.
{"label": "3381.2.a.b", "space_label": "3381.2.a", "level": 3381, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660928309, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 516763369084771383, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 1]], [5, [-3, 1]], [11, [2, 1]], [13, [-1, 1]]], "qexp_display": "q-q^{2}-q^{3}-q^{4}+3q^{5}+q^{6}+3q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 13524, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 26.9974209233949, "hecke_ring_index": 1, "level_radical": 483, "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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [3381, 1, [2255, 346, 442], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 7, 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": "0.991", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.995", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.035", "prec": 17}], "related_objects": ["EllipticCurve/Q/3381/b"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [7, -1], [23, -1]], "trace_display": [-1, -1, 3, 0], "traces": [0, 1, -1, -1, -1, 3, 1, 0, 3, 1, -3, -2, 1, 1, 0, -3, -1, -1, -1, 0, -3, 0, 2, 1, -3, 4, -1, -1, 0, 0, 3, -10, -5, 2, 1, 0, -1, -2, 0, -1, 9, -4, 0, 4, 2, 3, -1, -7, 1, 0, -4, 1, -1, -9, 1, -6, 0, 0, 0, 4, 3, 2, 10, 0, 7, 3, -2, -3, 1, -1, 0, -15, 3, 13, 2, -4, 0, 0, 1, 4, -3, 1, 4, -6, 0, -3, -4, 0, -6, 6, -3, 0, -1, 10, 7, 0, 5, -16, 0, -2, -4, 18, -1, -11, 3, 0, 9, 4, 1, 8, 6, 2, 0, 7, 0, 3, 0, 1, -4, 0, -9, -7, -2, 4, 10, -3, 0, 2, 3, -4, -3, 3, -2, 0, 3, -3, -3, -17, 1, 10, 0, 7, 15, -2, -1, 0, -13, 0, 2, 5, 4, 4, 0, -1, 0, -30, 1, -10, -4, 9, -15, 0, -1, -20, 4, 6, 6, 19, 0, -12, 3, 0, -4, 16, 0, 0, 2, -4, -6, -11, -3, 26, 0, -2, 3, -6, -10, 2, 7, 0, 0, 0, -7, -11, 16, -3, 0, -18, 2, -16, 12, 3, -18, 0, -1, -12, 11, 1, -1, 0, 0, -22, 9, 15, -4, 12, -3, 0, -8, -13, 6, -1, -2, -4, 0, 4, -7, 14, 0, -28, -3, 0, 0, -24, -1, -21, -4, -4, 0, -16, 3, -6, 7, -1, -2, 0, -4, 0, -30, 6, 3, -10, 0, -2, -2, 3, -17, 18, 4, 0, -3, 0, -3, -16, 6, -27, 0, -6, 3, -4, 3, -14, 1, 0, 17, -8, 1, 13, -10, -10, 0, 27, -7, -31, 15, 0, 2, 0, -5, -16, 0, 16, -13, 13, 0, 12, -6, 2, -5, 1, 4, 0, -4, -18, 0, 6, 1, 20, 0, 11, 30, -21, -3, 8, 10, 0, -4, 10, -9, 0, 21, -4, 0, 0, -1, 4, 20, -8, -12, 0, -6, -34, 6, -2, -19, -9, 0, -12, 12, -7, 3, 20, 0, 0, 12, -3, -16, 3, 0, 5, 0, -1, 10, 4, 4, -45, -6, 0, 11, 22, 9, -19, -26, 7, 0, 39, 2, 19, -1, -4, 6, 0, -10, -26, -2, 3, -21, 0, 0, -19, 0, -2, 0, 6, -3, 0, 11, 4, 16, -6, 3, -1, 0, -3, 18, 12, 2, -21, 16, 0, -4, -11, -3, -10, -18, 3, 0, 4, 3, -31, 12, 17, 11, 0, -1, -18, -5, -10, 0, -12, 0, 8, 22, -7, -27, -4, -15, 0, -4, 2, -12, -32, 1, 22, 0, 0, -8, 0, 13, -22, -18, 0, 1, -11, -2, 18, 4, -5, 0, 14, -4, 8, -7, -4, -14, 0, 0, 16, 28, 1, -3, 42, 0, 40, 0, 30, 24, 28, -1, 0, 21, 10, 12, -8, 4, 0, 0, -9, 16, -16, 15, -2, 6, 0, 7, -48, 1, 16, 6, 20, 0, 9, -4, 0, 0, -6, 10, 0, -6, 36, 3, -19, 10, 6, 0, 54, 2, 12, -2, -6, -3, 0, 11, 0, -18, -33, 4, 14, 0, -16, 9, 29, 0, -17, -3, 0, 16, 10, -2, 1, 27, 4, 0, -4, 6, 12, -9, 11, 4, 0, 3, 5, 14, -26, 5, 24, 0, -26, 17, 2, 8, 0, -3, 0, -13, 6, -10, -14, 10, 4, 0, -2, -27, -40, -7, 21, 31, 0, -45, 33, 0, 7, 2, 0, 0, 4, 7, 2, 16, 11, 0, 0, -16, 18, 39, 3, -13, 37, 0, 0, -12, 18, 2, -26, -2, 0, -5, 16, -1, 39, -12, -18, 0, -3, -4, -21, 18, -6, 0, 0, -6, -7, 1, -2, -20, 12, 0, -29, -11, 27, 30, -1, 21, 0, 1, -29, -8, 0, 10, 2, 0, -5, 12, 22, -10, 6, -9, 0, 0, -15, 9, 33, 4, -12, 0, -12, 0, -8, 3, -8, -4, 0, 20, -18, 8, 9, 4, 13, 0, -6, -6, 8, 34, 1, -18, 0, 2, 0, -19, 4, 9, -4, 0, 50, 12, -4, 12, 11, 7, 0, -9, -14, -20, 41, 0, -51, 0, 28, -4, -9, 3, 22, -16, 0, -3, 30, 0, 4, -5, 24, 0, -39, 1, 0, -14, 21, -4, 0, 4, 0, 45, 4, 18, -10, 0, -6, 11, 16, -22, -15, -3, 0, 19, 6, -26, 0, -7, -32, 0, 1, -39, -4, 2, 24, -19, 0, -5, 6, 4, 0, 6, 0, 0, -18, 30, 15, 26, -6, -2, 0, -3, -40, 7, 10, 0, 12, 0, 12, 19, 2, 0, 0, 2, 0, 0, -3, -6, 4, 17, 26, 0, -18, 11, -9, -4, -40, -48, 0, 6, 0, 3, 30, 1, 0, 0, -30, 3, -51, 18, 16, -12, 0, -6, 2, 21, 27, 16, -19, 0, 7, -20, 6, 11, -26, -3, 0, 10, 4, 54, -54, -3, 30, 0, 14, -4, -60, -1, 0, 31, 0, 12, -30, -17, -26, -33, 8, 0, 48, -1, 3, 18, -13, 7, 0, 10, 57, 0, 10, 12, -20, 0, -29, -8, -27, 22, -36, 7, 0, 9, 31, 4, -2, -15, 26, 0, 0, 12, 46, -2, -8, -12, 0, 32, -21, 5, 48, -22, 16, 0, -8, 0, -3, 24, -16, 0, 0, 13, 19, 22, -13, 6, 9, 0, 24, 1, -12, 11, -8, 6, 0, -18, -2, 4, 0, 5, -33, 0, -1, -14, 0, -4, 9, -8, 0, 21, 78, 4, -21, -14, 18, 0, 40, 0, 12, -16, -6, 28, 0, -1, -49, 9, -20, -42, -15, 0, -8, -40, -11, 0, -24, -30, 0, 24, 21, -28, 6, 3, 8, 0, -8, 21, 30, -10, -4, -4, 0, 8, 47, 4, 13, 0, -10, 0, -14, 9, 0, 16, 0, 16, 0, -21, 69, 2, 4, 6, -33, 0, 4, -21, 0, 48, 4, 1, 0, -16, -4, -2, 39, -20, -12, 0, 8, -9, 14, 12, -54, 0, 0, 0, 4, 6, -50, 50, 34, 0, -48, -6, -42, -36, 2, -9, 0, 19, -4, 10, 9, -6, 0, 0, 10, -54, 12, 2, -24, -12, 0, 6, 7, 6, 6, -3, -23, 0, -20, 23, -16, 0, 4, -18, 0, 33, -24, -12, -40, -14, 3, 0, -2, 16, 30, -3, -3, -29, 0, 0, 0, 17, -5, 9, 30, 0, -20, 16, 1, -10, -66, -10, 0, -1, -4, 27, 34, -4, 33, 0, 45, 4, 32, 6, 44, -12, 0, 3, 0, -11, 16, 4, -22, 0, -6, -9, -7, -5, 19, 14, 0, 26, 20, -7, -7, -24, -40, 0, 29, 26, -39, -51, 30, -2, 0, 8, -19, 0, 36, 1, -3, 0, 4, -13, -35, -6, -36, 30, 0, 14, -12, 10, 47, -4, 26, 0, 0, 2, 52, -27, -3, 40, 0, 21, 3, -21, 0, 31, 22, 0, 42, 15, 19, -33, 3, 0, 0, -7, 2, -6, -84, 0, 20, 0, -6, -4, 55, 3, 62, -2, 0, 16, 6, -11, 0, 0, -4, 0, -36, -16, -72, -18, 6, -13, 0, -3, -57, -13, 1, -37, -28, 0, -8, 0, 3, -12, -48, -18, 0, 10, -12, 26, -24, -2, 0, 0, 21, 15, -29, -16, -48, -1, 0, -39, -16, 4, -44, 18, 11, 0, -18, 3, 15, 12, 10, 21, 0, 18, -30, 6, -3, 0, -5, 0, -9, -6, -4, 7, 19, -3, 0, 2, 31, -20, 55, -12, -40, 0, -17, 29, 0, -11, 15, -27, 0, -90, -13, 1, -14, 21, 18, 0, 0, 5, -40, 29, 10, -8, 0, 0, -30, -30, 12, -2, -42, 0, -16, 5, -8, -4, -6, -22, 0, -10, 7, -6, 40, 27, 0, 0, 4, 0, 42, 15, 25, -51, 0, -33, -41, 4, 54, 12, -2, 0, 30, 12, 50, 0, 32, 8, 0, -1, 7, 8, -22, -4, -12, 0, -24, -60, 0, 18, 42, 8, 0, -9, 0, 20, 18, -13, -48, 0, 22, 6, 0, 18, 8, -8, 0, 34, -36, -1, 60, 6, 11, 0, 36, 2, -40, 0, -18, 57, 0, -4, -11, 9, 5, 4, -4, 0, -12, -50, -14, 12, 0, 4, 0, -36, -8, -11, -42, 7, 4, 0, 4, 3, -38, 14, 0, -20, 0, -41, 28, 0, -33, 51, -16, 0, -16, -28, 6, -20, -1, 9, 0, 3, 11, -22, -42, 48, 39, 0, 0, -3, -40, -30, 4, 0, 0, -4, -30, -5, -4, -24, 41, 0, -28, 39, 2, 1, 81, 0, 0, -6, -6, -21, 6, -4, -10, 0, -93, -12, 8, 0, 8, 45, 0, -4, 5, -6, 0, 10, 12, 0, -31, 6, 9, -33, 54, -16, 0, -22, 16, 15, 13, -15, -6, 0, 2, 19, -48, -6, -65, 78, 0, 0, 33, -7, -39, 32, 48, 0, 70, -1, -11, -39, -16, 4, 0, -6, 39, -24, -20, -19, 7, 0, 36, 7, -9, -6, 16, 4, 0, 0, 0, -18, -42, 0, -21, 0, 6, 18, 32, -10, -28, -15, 0, 26, 10, 6, 3, 6, -36, 0, 1, -3, 0, 40, 19, 35, 0, -10, 34, 0, -6, -12, -16, 0, -6, -12, -54, 19, 8, -2, 0, 0, -12, 0, 54, 2, 8, 0, 6, 0, -20, 3, 52, -6, 0, -4, 60, -11, 0, -26, 0, 0, -3, 18, 74, -33, 33, 9, 0, -4, -71, 40, -14, 16, 6, 0, -63, 6, 16, 0, -32, -9, 0, -30, -29, 1, 24, 0, -22, 0, 17, 30, 64, 3, -7, 51, 0, -54, 0, -16, -76, -12, -10, 0, 56, 2, 30, -2, -1, 21, 0, -27, -8, -48, -4, 19, 0, 0, 38, -7, 4, 28, 3, -6, 0, 11, -12, 26, -60, 9, 56, 0, -11, 10, -58, -4, 0, -18, 0, 54, -36, -3, 22, -30, -5, 0, -3, -14, 24, -4, 26, 60, 0, -5, -15, 0, -24, 31, 24, 0, -10, -36, 26, 30, 90, -17, 0, 26, -2, 11, 16, -8, 2, 0, 0, -48, -102, 3, -10, -3, 0, 18, -8, 13, 29, 3, -6, 0, -6, 10, -21, -57, 14, 0, 0, -10, -12, 12, -4, 20, 13, 0, -25, 29, 2, -8, -36, 27, 0, -66, 40, 36, 0, 7, -58, 0, -21, 45, -54, -31, 20, 4, 0, 2, 3, 45, 60, -26, -33, 0, 27, 0, 0, -4, -7, -46, 0, -2, -18, 8, 0, 36, 42, 0, -69, 32, -4, 21, 20, -7, 0, -48, -2, -22, -30, -16, 9, 0, -11, 8, 14, 0, -7, 3, 0, -8, 15, 16, -20, 0, -18, 0, 11, -39, -28, -19, -3, 22, 0, 13, -73, 30, -37, -9, -16, 0, 12, -24, 0, -3, 0, 12, 0, 11, -18, 8, -60, -2, -55, 0, 26, -18, -17, 2, 0, -12, 0, 0, 1, 5, 37, 33, -16, 0, 40, 1, 66, -14, -39, 0, 0, 12, 72, -9, 18, -8, -57, 0, 10, -7, 3, -78, -70, 4, 0, 21, 21, 42, 4, -18, -4, 0, 6, -40, -5, 0, 52, -12, 0, -16, -40, 6, -55, -84, 7, 0, 57, -1, -38, 49, 2, -3, 0, 20, 0, -42, -12, 15, 14, 0, -27, 8, 29, -40, -8, 11, 0, 0, -27, 24, 24, -30, 12, 0, 1, -72, -78, -21, 18, -28, 0, -6, 0, -1, -16, -8, 29, 0, 59, 8, 46, -63, 0, -30, 0, -10, 0, 4, -2, -20, 72, 0, -20, 8, 5, -47, -57, -12, 0, -13, -22, 0, -74, 10, -32, 0, -6, 14, 72, 9, -6, 0, 0, -48, 84, 0, 18, 16, 15, 0, 0, -9, -7, -69, -33, 2, 0, -4, 28, -18, 12, 33, -10, 0, -81, -4, 12, 7, 5, 0, 0, 48, 8, -4, 0, -3, -18, 0, 8, -16, -25, 4, 65, -10, 0, -39, -3, -20, 0, 12, 18, 0, 18, -8, 4, -9, -9, -14, 0, -4, 22, 54, -13, 0, 36, 0, 16, 0, 6, -4, 31, 6, 0, 50, -8, -70, -63, -34, -22, 0, -1, 48, -52, 18, 44, 42, 0, -36, -45, -2, -41, 3, 0, 0, -56, 19, -33, 4, -4, -30, 0, -9, -39, -6, 4, 0, -30, 0, -22, -10, -50, -54, -28, -12, 0, -6, 4, 24, 53, -12, 32, 0, -11, -2, 0, -7, 12, 6, 0, -6, -30, 9, -10, 23, 14, 0, -93, 20, 6, -45, -41, 16, 0, 0, 46, -4, 51, 54, 7, 0, 0, 33, -28, 24, -36, 4, 0, 40, 9, -14, 51, -3, 0, 0, -22, 2, -24, 16, 30, -30, 0, -15, -53, 3, -16, -29, -30, 0, 66, 0, -74, 0, -4, 17, 0, 5, -36, -3, -24, -30, -28, 0, 0, 20, 39, -48, 24, -1, 0, -10, 0, 66, 24, 14, -56, 0, -21, -1, 0, 4, -20, -81, 0, -34, 22, -4, 3, -33, 0, 0, 38, -45, 3, 4, -4, -32, 0, -18, -8, -44, 10, -12, 14, 0, 72, 15, 6, 0, 0, -11, 0, -16, -16, -12, -47, 22, -96, 0, 15, 6, -2, 3, -78, 7, 0, -5, 66, -19, 36, -42, -6, 0, 19, 26, 36, -20, 0, -3, 0, 7, -84, -24, 32, 40, -8, 0, 0, -29, -1, 26, 32, 39, 0, 17, 4, -30, -66, -2, -25, 0, -24, -24, 150, 19, 46, 0, 0, -36, 24, 5, 2, 3, -6, 0, 82, -4, -33, 39, 0, 35, 0, -6, 65, 36, 0, -10, 24, 0, -3, 14, 18, 12, -16, -30, 0, -47, -15, -4, 32, -26, 42, 0, 6, 0, -21, 2, 42, -52, 0, 81, 16, 3, 73, 40, 40, 0, 24, -7, -4, -3, -10, -21, 0, 0, -130, -93, -12, -22, -9, 0, -52, -42, -12, 75, -30, -19, 0, -33, -2, -3, -36, 0, -5, 0, 0, -7, 48, -2, 48, 2, 0, 84, 0, 0, 13, -20, 3, 0, 77, 6, 0, -4, -4, -55, 0, -17, 126, -62, -26, -2, -26, 0, -36, -48, 18, -6, 120, -11, 0, 0, 9, 0, 44, 4, 18, 0, 40, 36, -11, 48, 17, 72, 0, -18, 38, -6, 84, -65, 0, 0, -41, -3, -19, 57, -30, 39, 0, -1, -22, -37, 0, 28, 12, 0, 26, 8, 30, 0, 86, -3, 0, 36, 51, 48, -10, -18, -24, 0, -16, -14, -11, 12, 58, 26, 0, 24, 0, 6, 39, 0, -2, 0, -48, -21, 91, -5, -27, 29, 0, -16, 50, 48, 19, 3, 18, 0, -48, -39, -7, 16, -54, 20, 0, 44, -6, 18, -6, -11, 0, 0, 26, 18, 54, 3, 0, -15, 0, -4, 52, -10, -16, 21, -4, 0, 1, -54, -64, 30, 54, 6, 0, 3, 2, 0, -30, 5, 48, 0, 6, 9, -14, 18, -42, 4, 0, 7, 60, -19, 48, 1, -40, 0, 0, 2, 8, -31, 27, 60, 0, -55, -6, -12, 4, 40, 30, 0, 0, 17, 8, 29, 26, 0, 0, 33, -79, -15, -8, -27, -36, 0, 6, 30, -48, 13, 0, 1, 0, 14, -3, -63, 0, -18, 63, 0, 13, 0, 108, -7, -28, 40, 0, 29, -8, -10, 32, 24, -57, 0, 8, 0, -11, 30, -10, 10, 0, -12, 18, -2, 20, 42, 56, 0, -34, 16, 29, 5, 72, 8, 0, -20, 27, 6, 44, -22, -5, 0, 36, 30, 16, -7, -72, -6, 0, -40, 45, -9, -18, 0, -31, 0, -34, -4, -23, 0, 2, -42, 0, 15, 79, -25, -26, 33, -18, 0, 48, -33, 0, 41, -4, -12, 0, -54, -46, 12, 60, 2, -44, 0, 8, -30, -20, 12, 0, -50, 0, 0, 42, -32, -16, 8, 21, 0, -60, -5, 46, -7, -48, 8, 0, 22, 7, 12, -16, 12, 0, 0, 87, 24, 8, 20, 69, 0, 0, 18, 3, -42, -51, -24, 70, 0, 16, -9, 18, 0, 8, -28, 0, -18, 30, -13, 32, 48, -19, 0, 27, -22, 30, 6, 13, 0, 0, -6, 0, -8, -9, -8, 3, 0, -2, -102, -24, 36, 12, -1, 0, -60, 12, 30, 42, -11, 7, 0, 8, -36, 93, -6, -12, 40, 0, 0, 10, 18, 38, -19, 2, 0, 16, -4, 22, 11, 0, -27, 0, -5, 19, 4, 33, 4, -42, 0, -34, 12, 1, -50, -22, 14, 0, -36, 0, 0, 21, 4, -26, 0, -9, 12, 15, 8, 2, -11, 0, 42, 54, -21, 52, -4, -78, 0, 0, -4, -33, 15, 21, 38, 0, 14, 32, 0, -18, 60, 49, 0, -37, -41, -40, -28, -78, 0, 0, 33, -12, 51, -58, 16, -22, 0, 6, 16, 12, -28, -41, -6, 0, 28, -22, 1, 0, 9, 49, 0, -60, -9, 20, -11, 20, -22, 0, 42, -64, -16, 15, -39, 20, 0, -28, 0, 8, 9, -13, 40, 0, -30, 11, -4, -7, 0, -42, 0, 24, -4, -4, 30, -60, 15, 0, 4, 12, -24, 46, -41, -21, 0, 66, 28, -61, 39, -6, -2, 0, -3, 28, -81, -8, 0, 0, 0, -120, 34, 8, 6, 96, -21, 0, -6, -30, 12, 28, 10, -36, 0, 4, 93, 0, 4, 17, -8, 0, 0, 60, -8, -19, -135, -47, 0, -18, -4, 99, -5, -13, -30, 0, 0, 83, 10, 10, -12, 21, 0, 6, 31, 14, 6, -80, -9, 0, 11, 0, -54, -14, -16, 0, 0, 0, 66, 12, -16, -3, 15, 0, -13, -25, 21, -12, 6, -69, 0, 6, -2, 14, -57, -4, 48, 0, -6, 32, 65, 33, -26, 9, 0, -4, 0, -4, -33, -8, 21, 0, 39, 0, 32, -2, -48, 60, 0, -4, -70, 54, -1, 6, 11, 0, 117, 2, 16, -8, 4, 4, 0, 84, 2, 0, -39, -39, -24, 0, 20, 111, 57, 12, -7, 51, 0, -16, -36, -8, 3, 0, 9, 0, -6, -14, -16, 14, -12, 3, 0, 54, 0, 12, 0, 8, 6, 0, 42, 74, 0, -78, 21, -4, 0, -6, -6, 74, 18, 50, -32, 0, -50, -28, 28, -34, -15, 28, 0, 0, -78, 48, -10, 0, 6, 0, -3, 42, -2, -52, 36, 117, 0, -2, -1, 24, 9], "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": "483.2.i.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], [-1], [-1], [3], [1], [0], [3], [1], [-3], [-2], [1], [1], [0], [-3], [-1], [-1], [-1], [0], [-3], [0], [2], [1], [-3], [4], [-1], [-1], [0], [0], [3], [-10], [-5], [2], [1], [0], [-1], [-2], [0], [-1], [9], [-4], [0], [4], [2], [3], [-1], [-7], [1], [0], [-4], [1], [-1], [-9], [1], [-6], [0], [0], [0], [4], [3], [2], [10], [0], [7], [3], [-2], [-3], [1], [-1], [0], [-15], [3], [13], [2], [-4], [0], [0], [1], [4], [-3], [1], [4], [-6], [0], [-3], [-4], [0], [-6], [6], [-3], [0], [-1], [10], [7], [0], [5], [-16], [0], [-2], [-4]]}