# Stored data for newform 2001.2.a.b, downloaded from the LMFDB on 25 April 2024.
{"label": "2001.2.a.b", "space_label": "2001.2.a", "level": 2001, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660926929, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1995740400704568610, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [0, 1]], [5, [-4, 1]]], "qexp_display": "q-q^{3}-2q^{4}+4q^{5}-4q^{7}+q^{9}+4q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8004, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 15.978065444458204, "hecke_ring_index": 1, "level_radical": 2001, "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": "0.010", "prec": 17}, "analytic_rank_proved": true, "char_values": [2001, 1, [668, 1132, 553], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 23, 29], "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": "0.969", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.948", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.934", "prec": 17}], "related_objects": ["EllipticCurve/Q/2001/b"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [23, -1], [29, 1]], "trace_display": [0, -1, 4, -4], "traces": [0, 1, 0, -1, -2, 4, 0, -4, 0, 1, 0, 4, 2, -5, 0, -4, 4, -5, 0, 5, -8, 4, 0, 1, 0, 11, 0, -1, 8, -1, 0, -2, 0, -4, 0, -16, -2, 5, 0, 5, 0, -2, 0, 1, -8, 4, 0, 6, -4, 9, 0, 5, 10, 2, 0, 16, 0, -5, 0, 9, 8, -10, 0, -4, -8, -20, 0, 8, 10, -1, 0, -3, 0, 8, 0, -11, -10, -16, 0, 13, 16, 1, 0, -6, -8, -20, 0, 1, 0, -9, 0, 20, -2, 2, 0, 20, 0, -6, 0, 4, -22, 12, 0, 16, 0, 16, 0, 18, 2, 14, 0, -5, -16, 10, 0, 4, 2, -5, 0, 20, 0, 5, 0, 2, 4, 24, 0, -4, 0, -1, 0, 8, 8, -20, 0, -4, 0, -9, 0, 0, 32, -6, 0, -20, 4, -4, 0, -9, -10, 20, 0, 19, 0, -5, 0, -8, -10, -23, 0, -2, 0, -4, 0, 4, 4, -16, 0, -21, 0, 12, 0, 5, -2, 5, 0, -44, 16, -9, 0, 7, -8, 6, 0, 10, 0, 20, 0, -20, -12, 4, 0, 21, 8, 14, 0, 20, -18, 9, 0, -2, 0, -8, 0, 4, -10, -8, 0, 1, -20, 20, 0, 18, -4, 3, 0, 4, 0, 8, 0, -8, -32, 25, 0, 17, 0, 11, 0, -18, 10, 19, 0, 16, 0, -9, 0, 24, -18, -13, 0, -29, -16, -26, 0, -1, 20, 36, 0, -25, 0, 6, 0, 9, 8, 4, 0, 20, 16, -27, 0, -20, 40, -1, 0, 12, 0, 8, 0, 9, -16, -16, 0, -12, -20, -20, 0, 44, 2, 3, 0, -2, 0, -16, 0, -6, 6, -20, 0, 8, 0, 8, 0, 6, -16, 1, 0, 36, 0, -4, 0, -5, 22, -4, 0, -12, 20, -40, 0, -2, 32, -16, 0, -24, 0, 14, 0, -16, -26, 6, 0, -4, -32, -18, 0, -25, -2, -55, 0, -14, 0, -24, 0, -10, 12, 5, 0, 32, 16, -27, 0, -10, 40, -8, 0, -8, 0, -4, 0, -27, -2, 27, 0, 5, 0, 26, 0, -12, 18, -20, 0, -3, 0, 6, 0, -5, -40, 32, 0, 4, 4, -2, 0, -8, -4, 6, 0, -24, 0, 5, 0, 11, -40, 4, 0, 10, 0, -64, 0, 1, 12, 25, 0, -5, 0, -8, 0, 52, -8, -22, 0, 20, 44, -34, 0, 10, -24, 4, 0, 20, 0, -36, 0, 9, -32, -36, 0, -24, 0, 0, 0, 16, -32, 13, 0, 6, 0, -55, 0, 40, -36, 20, 0, -2, -4, -30, 0, 4, -28, 5, 0, -27, 0, 9, 0, -18, 10, -36, 0, -20, 32, -24, 0, -8, -20, -19, 0, 80, 0, -16, 0, 5, -8, -12, 0, -39, -4, 8, 0, 3, 10, -32, 0, 23, 0, 4, 0, 55, -40, 2, 0, 24, 0, -25, 0, 4, -10, -24, 0, 24, 0, -4, 0, -30, -4, 5, 0, 16, -8, 12, 0, 15, -48, 21, 0, 37, 0, 48, 0, -12, 8, 43, 0, -32, 0, -5, 0, 64, 2, 24, 0, -5, 0, -16, 0, -24, -16, 44, 0, 10, -16, 1, 0, 9, 40, 10, 0, 72, 0, -7, 0, 36, 8, 20, 0, -6, 0, 56, 0, -17, 18, -10, 0, -5, 0, -52, 0, -20, 0, 14, 0, -5, -64, 20, 0, 1, 12, 40, 0, -4, 0, 22, 0, 18, 40, -21, 0, 11, -8, -38, 0, -14, 8, 24, 0, 8, 0, -20, 0, -27, 18, -10, 0, -9, 20, -21, 0, 80, -40, 2, 0, -2, 0, 40, 0, 8, -38, 20, 0, 32, 0, -4, 0, -30, 10, -26, 0, 8, 0, 18, 0, 41, 16, -1, 0, 36, 20, 41, 0, -20, 46, -25, 0, -30, 0, -18, 0, -16, 4, -45, 0, -3, 0, -39, 0, 4, 8, -4, 0, -3, 0, 36, 0, -8, -8, 6, 0, 32, -8, 8, 0, 29, 32, -6, 0, -25, 0, -80, 0, -1, 42, -17, 0, -40, 0, -19, 0, -11, -24, 10, 0, 24, 0, 18, 0, 20, -10, -36, 0, -19, 4, -10, 0, 52, -10, -16, 0, 0, 0, 10, 0, 9, 88, 18, 0, 25, -32, -24, 0, -48, 18, 34, 0, 13, 0, -2, 0, -80, -14, 29, 0, -21, 16, -64, 0, 26, -12, -11, 0, -8, 0, 1, 0, -5, -20, 42, 0, -36, 0, 32, 0, -50, -40, 25, 0, 13, 0, 80, 0, -6, 40, -72, 0, 41, 24, -9, 0, 76, -8, 7, 0, -4, 0, -25, 0, -56, -42, -20, 0, -45, -16, -25, 0, 27, -28, 18, 0, -22, 0, 20, 0, -10, -40, -12, 0, 1, 36, -92, 0, -22, -18, -12, 0, -40, 0, 50, 0, -8, 4, 42, 0, -30, 0, -9, 0, 32, 16, -16, 0, 16, 0, 18, 0, 20, -8, 12, 0, 16, 20, 5, 0, 20, 16, 15, 0, -20, 0, -44, 0, -3, -2, 28, 0, -3, 40, -45, 0, -84, -40, 2, 0, 44, 0, 1, 0, 16, -36, 48, 0, -20, 8, 6, 0, 5, -6, -18, 0, 20, 0, 26, 0, -26, -8, -8, 0, -4, 0, 20, 0, -8, -16, 52, 0, -40, 0, -6, 0, -96, 16, -33, 0, -1, 64, 43, 0, 51, -50, -36, 0, -20, 0, 16, 0, 4, -34, 30, 0, 28, 0, 5, 0, 2, -22, -10, 0, 4, 0, 24, 0, -1, 36, 12, 0, 9, -20, -24, 0, 40, -38, -32, 0, 10, 0, 2, 0, 15, -32, 55, 0, 16, 0, -7, 0, 45, 18, 24, 0, -80, 0, -26, 0, -14, -48, 36, 0, -2, 36, 16, 0, -8, 26, -40, 0, -6, 0, -22, 0, 84, 58, 4, 0, 36, 32, -27, 0, 18, 52, 56, 0, -30, 0, 25, 0, -24, 2, 0, 0, 55, -40, -8, 0, -36, -72, 14, 0, 21, 0, 36, 0, 24, 50, 1, 0, -16, 0, 10, 0, -8, -12, 60, 0, -5, 0, 80, 0, -45, -18, -32, 0, 10, -16, -22, 0, 27, -8, -56, 0, 16, 0, 10, 0, 10, -40, -5, 0, 8, -32, -22, 0, -65, 54, 8, 0, -34, 0, -5, 0, 4, 40, 50, 0, -48, -80, 27, 0, -80, 2, 80, 0, -27, 0, -4, 0, -11, -24, -5, 0, 72, 0, -76, 0, -26, -16, -40, 0, -40, 0, 12, 0, -24, -18, -56, 0, 20, 32, -5, 0, 11, 32, 3, 0, 30, 0, 6, 0, -6, 24, 32, 0, 60, 40, 5, 0, -3, 40, 22, 0, -32, 0, 15, 0, 92, -88, -4, 0, 48, -4, 100, 0, 2, -6, 40, 0, 48, 0, 8, 0, 68, 4, 60, 0, -6, 0, 45, 0, 8, 32, 24, 0, 9, 0, 24, 0, -5, 12, 64, 0, -72, -12, -11, 0, -40, 40, -16, 0, -4, 0, 76, 0, -10, -16, -10, 0, -48, 0, 41, 0, 64, -16, 45, 0, -50, 0, -1, 0, 12, -12, -36, 0, -25, 32, 84, 0, 4, -2, 5, 0, 66, 0, 72, 0, 8, -72, 52, 0, -48, 0, -52, 0, 21, 8, 2, 0, 22, 0, -24, 0, -116, 10, -20, 0, 56, -44, -58, 0, 34, 8, -104, 0, 15, 0, -10, 0, -20, 24, -32, 0, -4, -40, -36, 0, 2, 80, -20, 0, 41, 0, 99, 0, 36, 4, -61, 0, 31, -64, -9, 0, -100, 32, -2, 0, 36, 0, -40, 0, 40, 48, 24, 0, -1, 0, -31, 0, 0, -28, -28, 0, 36, 0, -16, 0, -17, 32, 30, 0, -13, 52, 16, 0, -24, -12, -6, 0, 4, 0, 40, 0, 55, 8, 13, 0, -11, 64, -40, 0, -31, 36, -108, 0, -20, 0, 35, 0, 50, 50, 2, 0, -80, 4, 14, 0, 30, 110, -23, 0, -13, 0, -4, 0, 63, 28, 80, 0, -5, 0, -60, 0, 48, 48, 27, 0, -34, 0, 66, 0, -9, 20, 22, 0, -57, -24, 18, 0, -24, -10, -2, 0, 36, 0, -84, 0, -80, -64, 20, 0, -65, -32, -64, 0, 24, 54, -15, 0, -56, 0, 8, 0, -48, 20, 9, 0, 19, -80, -24, 0, -6, 16, -80, 0, 48, 0, -12, 0, 16, 16, -46, 0, 96, 0, -5, 0, -36, 8, 56, 0, 12, 0, 12, 0, 40, 54, 39, 0, -90, 4, 8, 0, -8, -54, -16, 0, -4, 0, -3, 0, -10, -10, -64, 0, 32, 0, 4, 0, 30, -52, -23, 0, -24, 0, -70, 0, -4, 24, -9, 0, 17, -36, -55, 0, -23, 40, 44, 0, -2, 0, 27, 0, 32, 6, -24, 0, 14, 0, 32, 0, 25, -12, 32, 0, -21, 0, -4, 0, -36, 10, -6, 0, 24, 80, -12, 0, -20, -64, -24, 0, -80, 0, 4, 0, 4, -8, -50, 0, -17, -8, 30, 0, 99, 4, -72, 0, -5, 0, 30, 0, -16, 16, -16, 0, -32, 8, 51, 0, -12, -12, -3, 0, -20, 0, -15, 0, 65, 48, 65, 0, -21, 0, -16, 0, -36, -10, -37, 0, 4, 0, 45, 0, -48, -22, -10, 0, -18, 80, 12, 0, 29, -8, -110, 0, -43, 0, 0, 0, -47, -20, 32, 0, -8, 0, -2, 0, 5, 128, 8, 0, -37, 0, -64, 0, -100, -2, 40, 0, -24, -24, -30, 0, -96, -50, 5, 0, -21, 0, -68, 0, 16, 10, 56, 0, -40, 0, 24, 0, -54, 16, -25, 0, -44, 0, -30, 0, 52, -104, -10, 0, -63, 16, 24, 0, -1, 44, 72, 0, 5, 0, -9, 0, -16, -40, -58, 0, -10, -88, -36, 0, -76, 68, -72, 0, -15, 0, -2, 0, 7, -20, 20, 0, -100, 48, -36, 0, 60, -8, 2, 0, -20, 0, -120, 0, 36, -40, 6, 0, 36, 0, -3, 0, -56, 72, -1, 0, 80, 0, 17, 0, -4, -18, -96, 0, 10, 64, 30, 0, 20, 72, 5, 0, -40, 0, 79, 0, 52, 48, 76, 0, -24, 0, 20, 0, 17, 0, -43, 0, -14, 0, 116, 0, 88, -32, 5, 0, 8, 64, -37, 0, -20, -26, -108, 0, 104, 0, -1, 0, -45, -12, -70, 0, -40, 0, 54, 0, 47, 110, 4, 0, -40, 0, -32, 0, -22, -80, 27, 0, -9, 72, -18, 0, -32, -40, -60, 0, 21, 0, -15, 0, 4, 4, -11, 0, -92, 8, 100, 0, 38, 60, 2, 0, -108, 0, 14, 0, 30, -8, -45, 0, -24, 56, 108, 0, 14, -10, -8, 0, -80, 0, 12, 0, 20, 54, -36, 0, 1, 0, 27, 0, -2, -18, 104, 0, 10, 0, 10, 0, -16, 36, 9, 0, -33, -20, -42, 0, 21, 72, 45, 0, 8, 0, -80, 0, 60, 40, -38, 0, -2, -64, 16, 0, -12, 48, 2, 0, 108, 0, 70, 0, -40, 16, 24, 0, 0, 40, -8, 0, -60, 38, 45, 0, -20, 0, 13, 0, -90, -160, -32, 0, 16, 0, 88, 0, 4, 32, -18, 0, -62, 0, 30, 0, 16, -10, -84, 0, 26, 16, -48, 0, -30, 24, -8, 0, 12, 0, -42, 0, -18, 78, -70, 0, -32, 8, -41, 0, 48, -16, -34, 0, 1, 0, 24, 0, -6, -6, -36, 0, 46, -20, 19, 0, -41, 64, -33, 0, 48, 0, 20, 0, 64, -46, 20, 0, 25, 0, 27, 0, 20, -8, 30, 0, 44, 0, 48, 0, 18, -110, -68, 0, 20, 80, 16, 0, 26, -4, -6, 0, 45, 0, 39, 0, 40, -48, 3, 0, 60, 0, -50, 0, 39, 50, -176, 0, -12, 0, -4, 0, -43, -8, -80, 0, 4, 20, -100, 0, -12, 48, 3, 0, -8, 0, 100, 0, -36, -48, -18, 0, 73, 0, 8, 0, -20, 8, 80, 0, -6, 0, 10, 0, -95, 60, -32, 0, 64, 8, 28, 0, -8, -10, 69, 0, 143, 0, -29, 0, -12, -32, 24, 0, 6, 16, -88, 0, 2, -24, 25, 0, 24, 0, 5, 0, 80, -30, 36, 0, 64, 96, 1, 0, -46, -42, -136, 0, 17, 0, -18, 0, -52, -74, 40, 0, 40, 0, 1, 0, 19, -96, 6, 0, -32, 0, 11, 0, 32, 24, -14, 0, -10, -16, 90, 0, 80, -86, -24, 0, -60, 0, 115, 0, -18, 64, -144, 0, -9, 0, -20, 0, -4, 10, 19, 0, 36, 0, -25, 0, 3, -128, 19, 0, -72, -4, -144, 0, 10, -48, 10, 0, 70, 0, -52, 0, -66, 10, -16, 0, 16, 0, -64, 0, 9, 32, 0, 0, -68, 0, -56, 0, -10, 48, 20, 0, 64, 32, -9, 0, -64, -88, 84, 0, -18, 0, 52, 0, 9, -20, -25, 0, 52, 32, 70, 0, 24, -2, -8, 0, -20, 0, 48, 0, 56, -18, -120, 0, -34, -80, -22, 0, -84, -20, -13, 0, 160, 0, 4, 0, 2, -144, 63, 0, 2, 0, 80, 0, 50, 14, 8, 0, -29, 0, -76, 0, -8, -72, 21, 0, 20, -16, -2, 0, 64, -40, -120, 0, 36, 0, -26, 0, 105, 12, -4, 0, 11, 0, 96, 0, -88, -112, 8, 0, 45, 0, 20, 0, -1, 34, -8, 0, -56, -36, 5, 0, -108, 20, 5, 0, -42, 0, 6, 0, 1, 10, 36, 0, -48, 0, -11, 0, -32, 104, 48, 0, -72, 0, 50, 0, -24, 40, -22, 0, -25, 0, -99, 0, -40, -28, -13, 0, -6, 0, 16, 0, -80, 10, -13, 0, 17, 128, 6, 0, 64, -40, -96, 0, 72, 0, -25, 0, -41, -2, -41, 0, -32, -24, -50, 0, 9, -80, 100, 0, -16, 0, -76, 0, -28, 8, -8, 0, -7, 0, 54, 0, 220, -44, 4, 0, 2, 0, 34, 0, 25, -36, -64, 0, 88, -80, 56, 0, -13, 42, -38, 0, 20, 0, -42, 0, 25, -22, 45, 0, 54, 16, -48, 0, 25, 76, -60, 0, -24, 0, -27, 0, -156, 28, 40, 0, -18, -16, 72, 0, 12, -48, 22, 0, -35, 0, 45, 0, -20, -16, -6, 0, 12, 0, 10, 0, 88, 40, 2, 0, 12, 0, -128, 0, -6, 54, -1, 0, 40, -36, -30, 0, 92, 20, 81, 0, 108, 0, 22, 0, 0, 18, 16, 0, 12, -40, 16, 0, 93, 42, 40, 0, 120, 0, -83, 0, -50, -160, -90, 0, 6, 80, 8, 0, 32, -4, -34, 0, -42, 0, 56, 0, 96, 4, 30, 0, -77, 0, -31, 0, 9, -80, -100, 0, 6, 0, -32, 0, 38, -16, -20, 0, 16, 76, 18, 0, -18, -40, -16, 0, 47, 0, -66, 0, -18, -64, 108, 0, 100, 0, -20, 0, 96, 8, -10, 0, -12, 0, -10, 0, -108, 60, -16, 0, -58, -20, -26, 0, -5, 52, 68, 0, -120, 0, -20, 0, 24, -16, 18, 0, -15, 0, 20, 0, -56, -36, 20, 0, -104, 0, 76, 0, 44, -82, 72, 0, 40, -32, 3, 0, -105, 2, 48, 0, -28, 0, 40, 0, 12, -72, 3, 0, 60, -40, -72, 0, 45, -82, 20, 0, 44, 0, 84, 0, 14, 40, -70, 0, -2, -92, 12, 0, 148, 50, -44, 0, 76, 0, -45, 0, -1, 60, 132, 0, -24, 0, -16, 0, 4, 36, -100, 0, -48, 0, 9, 0, 25, 32, 20, 0, 73, -8, 172, 0, -6, 90, -1, 0, -94, 0, -5, 0, -128, 6, 5, 0, 18, 0, -45, 0, -36, 78, -20, 0, -95, 0, -16, 0, -26, -8, 12, 0, 176, -16, 26, 0, 76, 8, 9, 0, 8, 0, 96, 0, 10, 6, 4, 0, -56, 0, -11, 0, -20, -72, 18, 0, 10, 0, 8, 0, -45, 16, -64, 0, -52, 16, -60, 0, -24, -12, 40, 0, -96, 0, 17, 0, 6, -64, 17, 0, -10, 16, 96, 0, -15, -16, -116, 0, 33, 0, 76, 0, 40, -58, 1, 0, -20, -64, 0, 0, -43, 12, 4, 0, 34, 0, -51, 0, -104, 50, -44, 0, 36, 0, -2, 0, -38, 160, 20, 0, -63, 0, 40, 0, -16, 2, 115, 0, 46, -84, -4, 0, 198, 34, -58, 0, -30, 0, -40, 0, 9, 80, -28, 0, -15, 0, -5, 0, -5, 38, 6, 0, 144, 0, -2, 0, -86, 22, 40, 0, 10, 48, 80, 0, 74, -20, -4, 0, -83, 0, 4, 0, -24, -48, -100, 0, -102, 0, 1, 0, -100, -36, 154, 0, -12, 0, 75, 0, 0, -40, -9, 0, -68, 20, 20, 0, 24, 72, -44, 0, -90, 0, -40, 0, -16, 38, 14, 0, 32, -8, -4, 0, -20, 20, -10, 0, 18, 0, 36, 0, -2, -104, -208, 0, 57, 20, -15, 0, -20, 32, 54, 0, -55, 0, 64, 0, 88, 0, -16, 0, 5, 0, 56, 0, 7, -20, 34, 0, 95, 0, -45, 0, -20, -18, -2, 0, -24, -176, 0, 0, 71, -36, 80, 0, 136, 0, -49, 0, 26, -50, 6, 0, 4, 64, 14, 0, -49, 48, -40, 0, -36, 0, 110, 0, -108, 96, 2, 0, 100, -36, 53, 0, -16, -68, 42, 0, 105, 0, 8, 0, 64, -26, 88, 0, 40, 0, -80, 0, -24, 4, 6, 0, 72, 0, -13, 0, 22, 160, -2, 0, 144, 28, -84, 0, -60, -58, 95, 0, -4, 0, -60, 0, 24, 42, -36, 0, 74, -32, 8, 0, 27, 128, -152, 0, -19, 0, -18, 0, 81, -52, 48, 0, -56, 24, 79, 0, -85, 22, 30, 0, 84, 0, 96, 0, -25, 16, 0, 0, 6, 0, 24, 0, 32, -2, -65, 0, 0, 0, -4, 0, 65, 10, -55, 0, 54, 40, -12, 0, 8, -84, -64, 0, -108, 0, 36, 0, 46, 72, -25, 0, -14, 0, -40, 0, -52, -64, -21, 0, 90, 0, -51, 0, -36, 100, 94, 0, -64, 80, -24, 0, -54, -50, -84, 0, -1, 0, 18, 0, -60, -26, 16, 0, 220, 0, -95, 0, -10, -160, -48, 0, -115, 0, 8, 0, -16, 12, -90, 0, -60, -80, -16, 0, -8, 144, 5, 0, -32, 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": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "2001.2.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], [0], [-1], [-2], [4], [0], [-4], [0], [1], [0], [4], [2], [-5], [0], [-4], [4], [-5], [0], [5], [-8], [4], [0], [1], [0], [11], [0], [-1], [8], [-1], [0], [-2], [0], [-4], [0], [-16], [-2], [5], [0], [5], [0], [-2], [0], [1], [-8], [4], [0], [6], [-4], [9], [0], [5], [10], [2], [0], [16], [0], [-5], [0], [9], [8], [-10], [0], [-4], [-8], [-20], [0], [8], [10], [-1], [0], [-3], [0], [8], [0], [-11], [-10], [-16], [0], [13], [16], [1], [0], [-6], [-8], [-20], [0], [1], [0], [-9], [0], [20], [-2], [2], [0], [20], [0], [-6], [0], [4], [-22]]}